Shared by Implosion Group - April 17, 05- url: goldenmean.info/gravitycode , main index: goldenmean.info
POINCARE AGREES with WINTER! - Dan Winter's first paper on Self Similarity / Fractality as the Symmetry of Charge Collapse and therefore CAUSE of Gravity - hinges on charge waves approaching non-destructive compression - based on Golden Ratio symmetry. When we examine physics best current idea of the symmetry of gravity itself - it resolves to what is called the S3# Poincare Dodecahedral Space. this 'Lie' or symmetry group - 60 / 120 element array fits perfectly the dodeca icosa symmetry - for capacitive charge which our new theory concludes will MAKE GRAVITY. This is because the same Golden Ratio spacing beween every path curve on Dodec / Icos is exactly that needed to turn Charge Compression IN to Acceleration (Gravity).
E=MC^2 merely quantified the obvious that inertia storage - called 'mass' was only a function of sustainable wave rotation.
More interesting / and from the point of view of electrically supporting the creation of life force - probably more useful - we now have - from Winter:
Gravity, Implosion, and Self-Awareness = Charge Acceleration thru C by Wave Self-Similarity - FRACTALITY ! = (Potentially infinite wave multiple-connectedness by CONSTRUCTIVE COMPRESSION)
Implosion is that which provides the centering force necessary to stabilize the wave rotation called 'mass'. By defining mass only as the resistance to change of position / interia - for wave packets in rotation - it became obvious that a symmetry law was required to describe what causes wave to resist change of position.
( Einstein called this problem he never solved: the geometric model of infinite non-destructive compression. - which is now obviously the stellated dodeca-icosa.)
-The answer - pulling the plug to allow charge an exit path thru the speed of law by recursive heterodyning: Charge Implosion - also answers the other question which til now stumped physicists: Why does an object fall to the ground?
The Proof: Capacitive Charge in PHI based self-similarity creates gravity.
In summary - because he was stumped on the geometry of infinite non-destructive compression - Einstein got a few things wrong - he caused all physics to say "Acceleration due to gravity" and measure that - as the only definintion current physcs has for gravity. Yet now we know that it is actually the opposite: "Gravity is due to acceleration"! (of charge) - thru the speed of light. And recursive heterodyning (constructive wave interference of phase VELOCITIES - when centers of charge/mass enter the geometry of self-similarity.) IS the accelerator.
See also- upcoming: International Conference: "Practical Energy Applications of Implosion - Learning the PRINCIPLES" - inspired also in way the HeartTuner measures / EKG implosion (charge self-similarity as non-destructive compression). more info: heartcoherence.com/conference
Comments from Dan Winter: (comments made subsequent to the dialog-see link) The reason Schauberger and others (described below) were able to extract electrical wattage from a water vortex was because of the natural possibility of initiating successful recursive capacitive charge compression which can accelerate components of the charge field thru the speed of light - in water - which is properly called IMPLOSION. Proof of this concept can be understood by arranging simple capacitors in a recursive fractal ( PHI / pent optimized array) - measuring the resultant ion beam & weak gravity field generated (pics - CLICK HERE FOR IMAGE Library REVIEW FOR THIS 'IMPLOSION CONCEPT")- even when the capacitors are not externally energized. If water is properly piezoelectric (trace mineral 'doping'), and spun in a proper dialectric insulator - water naturally imitates this charge array elegantly in it's own seeking for maximum non-destructive compression both hydrodynamically and electrically. Gravity is created and destroyed as charge lines create this acceleration path due to recursive heterodyning of phase wave lengths AND velocities. The voltage difference between the charge compression core and the centrifugal periphery can become a meaningful source of power. It is also true, that 'sinking' the local charge field in this way - will create gravity and emotional perturbation, and needs to be done very responsibly. Also it is strongly noted that the relative position of the device with respect to local ley / charge earth lines, will affect the output - and disturbance degree - as well as effects from the astrologic (which are really capacitive) symmetry density conditions.
see- Greg Hodowanec GRAVITY WAVE RECORDER - and Bill Ramsey- search keyword also - Rustrak Recorder..
3. Gravity Making- RECURSION AMONG CAPACITORS- Update...Below - Section
Just Added to How to Make THRUST from Charge: goldenmean.info/thrust
: Oct- 26,06: - Additional notes: We would like to thank Colin , hirsch@umbrialogic.com
, and his partner for working on this project - their first device may
have caused
even unusual precipitation - they are testing further:
(pic)Does
a non linear electric field gradient generate gravity? - http://www.blazelabs.com/f-efield.asp
, LOOK Carefully at the BLAZE LABS site- notice that he seems to believe that
the ion wind effect - DOES create gravity - yet WE believe that capacitors can
create gravity in a near vacuum - if we understand, he does not?? - this is important
- also - note while there the research summary documenting that there is 1% or
more of absolutely proven changeability of the GRAVITATIONAL CONSTANT - yet he
does not begin to articulate the principle - THAT THE AMOUNT OF LOCAL GRAVITY
IS PROPORTIONAL TO THE AMOUNT OF SELF SIMILARITY IN THE LOCAL ATTACTORS CHARGE
FIELD CAUSING THE GRAVITY!
related: Spherical Capacitors and How to Build a UFO http://www.geocities.com/CapitolHill/8167/buildufo.htmletter
from "James Kent" <jamesk@tripzine.com> ,To: implosiongroup@yahoo.com
, Subject: Phi Recursion & Space Travel, 25 Oct 2005
This question is in reference to "Phi Recursion Induced Charge Acceleration",
Hello, - I recently stumbled across your page and found your work very interesting.
I was wondering if you had considered a practical means to produce an engine
based on your theory to induce near-light-speed space travel. Assuming money
was no object, would you be able to discuss how such an engine might be built?
- Also, are there ways to test your theory in a lab environment, such as measuring
the behavior of electrons passing through some of the fields you describe? Would
you be willing to discuss rudimentary empirical experiments that illustrate some
of the functions of your principle?- Thank you for your interesting work. I will
continue to explore you site in more detail.- James Kent
Answer: Experimentally- goldenmean.info/thrust - this article summarizes our experiments so far - Also see- biologic example at goldenmean.info/gravitypolitics- - others are building capacitive recursion devices - and sadly calling them "FREE" Energy - we discuss why this name is a serious mistake at goldenmean.info/hellsmouth
--
So that the Breath of Life (Perfected Charge Distribution by Fractality = Self Awareness)
Can Enter to (Make Gravity &) Steer Earth's Eco-bubble in the Time of the Solar Maximum (Compression Wave- see Voynicht Eye below)
|
Extending the Seyfert Galaxy Orgasm trigger for Solar Max dialog at goldenmean.info/ark - Author of Voynich Manuscript and the Approaching Eye of the Galactic Superwave.. writes.. "Hi Dan,....The galactic superwave, which was more than likely about halfway here when the last major event hit, will simply obliterate life if someone does not step into the mix. My approach has dealt with the information given to abductees over the last fifty years, as well as the search in history for the thread that explains this. The answers as down to earth. "They" are here for the event - and, as was said to one abductee that was shown a horrific looking sky: When you see the sky look like this, know that we are coming.--Regards Jim... "According to a legend told by the Hopi Indians, the present world civilization is not the first to populate the earth. Before this one, there were three other "worlds", each terminated by a global catastrophe. They call the present world cycle the "Fourth World", and claim that it too like the others before it, will one day come to an end. They say that this ending will be heralded by the appearance of Saquasohuh, the Blue Star spirit. ---Paul LaViolette etheric.com author of Galactic Superwave - also writes:4/17/05 (in response to my note) from Dan: "it seems to me - that the concept of self similar or fractal arrangement for dialectric charge centers (capacitors in a cone optimized by phi - making gravity) may be essential principle? >>" to which Paul responds: "I don't know exactly what you mean by the above. My concept is simple: positive charge (protons) produce positive mass (G potential wells), negative charge (electrons) produce negative mass (G potential hills). Contrary to general relativity, there are two polarities for gravity and these are correlated with electric charge. These are predictions from a theory I have developed called subquantum kinetics. Thus far subquantum kinetics has had 10 of its a priori predictions verified by observation so this sets it appart from most other theories on electrogravitics. If you want to learn more about my work in this area I suggest you read my book Subquantum Kinetics and my paper on the B-2 which is in the book Electrogravitics Systems edited by T. Valone. They can be ordered from Amazon.com or at the etheric.com website.,Best regards, Paul LaViolette" to which Dan returned: (the reason negative charge produces gravity) " ... the centripedal nature of what is called negative charge is directly due to charge attraction due to fractality - when that charge attraction becomes broad spectral enough ( the same harmonic inclusiveness optimized by phi that defines resistance to disease in heart hrv goldenmean.info/dardik -explaining the eeg / ekg access to voltage from gravity during bliss-shown in power spectra as phi harmonics ) - this suction is called gravity - because this creates a charge path out thru lightspeed -"dan winter |
They thought the Voynich manuscript was just a star map to show the Cathar shaman where to steer at death - but much more it is to show our genepool where to steer at it's death (into the eye of the storm)-- To quote Compression IN to Accleration (gravity). (See 'TimeStar' + pics & animations).
This short note is an appendix for the Self-Similarity Creates Gravity paper. It has been gratifying to find such interest and reaction. Here we offer some samples:
We thank Richard for his suggestion: "By my (German) translation of goldenmean.info/hadron I have found some intresting sites: -
http://www.polyedergarten.de/
for the above you will need a VRML 3D viewer (spinner)- recommend Cortona: http://www.parallelgraphics.com/products/cortona/
and also this applet: http://www.physics.orst.edu/~bulatov/polyhedra/stellation_applet/index.html
we recommend it..
apr 16,05- from bhbear@fastmail.ca
hi dan, this is blake writing.
i am currently involved in the last stages of
an academic composition, to be handed in tomorrow
for my honours undergraduate degree in anthropology.
i have been writing about the effects of phi alignment on consciousness-as-
universal-organizer, in the context of buckminster fuller's idea of humanity's
collection and distillation of 'generalized principles.'
Your work, which i've been reading online, has been of great value to me in
formulating and clarifying my own ideas, and I wonder if you might be able to
spare some time to help me with a few questions:
I am beginning to grasp the role played by phi-optimized self-similarity in
establishing a charge-gradient (i assume we're talking 'life-force" here?)
gravitational continuum via global scaling, but i am having trouble
understanding how this same phialignment grants us with our idependent
consciousness-identities: could we see this as an infraorthogonal (as opposed
to explosive) complementary complexification? -a hyperdimensioning
goldenspiral?
-that one i'll have to work out on my own, i supose, but,
~i also wanted to ask you about the harmonic series, in a sonic -musical-
context. Question: how does the harmonic series; one of inverse integer ratios,
fit with a phi-optimal global scaling theory? am i missing something here?
~lastly, i was wondering if you could pass along any 'hard' reference data for
your work: have you published in any scientific journals? any books, etc.? (just
cuz these tend to look "better" in a bibliograph than a bunch of urls..)
thanks so much Dan, and do keep up the good work; i'd imagine you're having a
greater effect than you realize. -blake
next blake wrote:
hey dan;
i'm glad you got my note.
i don't have skype, but i'll certainly look into it... in the meantime, i am all wrapped up in the Golden Mean (ha)
and peering around through through spacetime curvature-corners of general relativity. I think we're really on to something big here.
yeah. I got hadron2, and the references are excellent; i also tried pulling up Golden Mean related publications via my school's online library system, with some success (there is a lot of related work going on, but nothing that seems to really *get* it)
-so i have a couple of questions for you ....
so. I'm looking at the Hadron2 article now, a few pages in, under "the definition of conscious awareness" you begin by saying "the reason that perfected (fractal/ self-similar ) compression creates both gravity and awareness is elegantly simple."
my first qestion is: what is recursion?
2nd q: is phase velocity a synonym for frequency?
3: when these waves align and embed, does their heterodyning create geometric and arithmetical series of both their wavelength and frequency? and if so, how would one map that imagically onto, for example, a golden rectangle/ spiral?
4:if this process extends through einstein's c barrier, where is it going? is there a point when c is exceeded? is there a point when the entity starts emitting light? i guess it's when time turns around??
-it seems to me : that this theory recontextualizes electromagnetic charge as a fundamental, neoclassical wave-function... this model system would thus recontextualize all the formerly particulate entities; mass, inertia, ...kinesis/ potentia...? what about light?
-what about time? where i want to take this is toward a profoundly LOCAL mechanics that can include psyche & emotion. It's already implied by the limited nature of local fractal-perception.... i suppose the perfect charge compression/ distribution that creates/allows awareness in your model is immanent, in much the same way as is phi itself. how does that sound?
-i realize that i've been thinking of time in terms of an energy emission/reception imbalance... I have been relating this to gravity in my head throughout this... But i have also been considering it to be cogent with the einsteinian frame of reference; ignoring for a moment the notion of unidirectional flow, it is clear that our perception of time as a progression/collection of units depends upon a prior
establishment of unitscale. This profoundly implies covariance with chargecompression via symmetry (-i should call it phimetry, since it is actually a special asymmetry).
last thought -hope youre not bored - perhaps time is the newest added dimension in a global phylogeny toward integral manifold complexity - seems kinda like golden mean alignment, by localizing evolution inclusively, would sorta pry the dimensionality we're capable of experiencing open to make room for us to grow... i picture an egg....
~i guess that was my fifth question
=blake
response from Dan Winter: Re: phi-optimized Global Scaling - most of what I had to say is at goldenmean.info/globalscaling - the fact that Golden Ratio in brainwave power spectra now so elegantly identifies the charge attraction of BLISS - and CREATIVITY speaks for itself. ( goldenmean.info/blisstuner ) Initiate compression by Golden Ratio - and you attract the waves of charge -which are at one called MASS and INFORMATION. I suggest non-linear Golden Ratio harmonic cascades optimize both the harmonic inclusiveness AND the coherence in the EKG which identify resistance to disease. The fact that medicine says that since the healthy heart must be frequency inclusive and diverse- AND CALLS THAT A CHAOTIC HEART - is in fact wrong. Fractality idealized by Golden Ratio is the OPPOSITE of CHAOS. ( discussions: goldenmean.info/hrv , goldenmean.info/coherence , and in the Fractal Heart links at goldenmean.info/hadron ).
What is recursion.. is perhaps answered best - by the picture of the wave moving into the Golden Mean spiral - showing that in hydrodynamics - the only angle at which a wave can re-enter itself (self-re entry ) without hurting itself - is the Golden Mean spiral. This becomes the symmetry recipe for self-reference - which defines self awareness even in the Vedas. Ability for a wave to recur - (the same RE that defines THING-ness in Latin)- depends on its ability to fold back upon itself.
Of the definitions for RECURSION on the web http://www.google.com/search?hl=en&lr=&q=define%3Arecursion&btnG=Search we think the BEST is ( under entry for RECURSION):
When a function calls itself, either directly or indirectly. If this isn't clear, refer to the entry for "recursion." (Here the entry for recursion refers for clarity to the entry for recursion??? kool huh) - www.ictp.trieste.it/texi/gawk/gawk_183.html
2. Phase velocity is NOT a synonym for frequency. When the front of a pressure wave..conveys it's inertia - it may do so in multiple 'velocity modes' at once. This is where Golden Ratio shines and becomes Golden - because it allows the multiple modes of wave speed to move thru each other (heterodyning - adding and multiplying) - all with only CONSTRUCTIVE interference. (wave length and wave speed ADD and MULTIPLY)..
further: Definitions of phase velocity on the Web:
* The velocity of a carrier wave in a modulated signal. www.physics.nwu.edu/ugrad/vpl/glossary.html
* Velocity, measured over a short time period, at which a particular wave crest is propagated through water or rock media. www.reson.com/Gloss-p.htm
* 1. Same as phase speed. 2. The velocity at which a wave of given frequency and wave length advances across the ocean. amsglossary.allenpress.com/glossary/browse
* The velocity of an equiphase surface along the normal of a traveling single frequency plane wave. www.control.co.kr/dic/dic-p.htm
* The phase velocity of a wave is the rate at which the phase of the wave propagates in space. This is the velocity at which the phase of any one frequency component of the wave will propagate. You could pick one particular phase of the wave (for example the crest) and it would appear to travel at the phase velocity. The phase velocity is given in terms of the wave's frequency É÷ and wave vector k by... en.wikipedia.org/wiki/Phase_velocity
3. Re: 3: when these waves align and embed, does their heterodyning create geometric and arithmetical series of both their wavelength and frequency? and if so, how would one map that imagically onto, for example, a golden rectangle/ spiral? - It would seem that if a wave series were created of geometric and arithmetic cascade for wavelength - then by definition the inverse 1/f would be true for frequency. The important new suggestion here is that the cascade of INCREASING WAVE VELOCITIES - by constructive (Golden Ratio) adding and multiplying - becomes the charge ACCELERATION - called GRAVITY. Regarding imaging this -
I suggest the 3D rotation of this dodeca stellation crossing of 10 Golden Spirals -from the DNA top view - ( called the HOLY GRAIL ) - 
wherein each node of the infinite interdigitation stellation of dodeca icosa has x,y,+ z coordinate values which are all simple whole number multiples of Golden Ratio - distance to center maintained always in Phi proportion.. as these image illustrated..
- 
animated at goldenmean.info/worms , goldenmean.info/gifanims/SUSHONZOOM.html , VRML at goldenmean.info/virtual/sushon.html
and finally - regarding - 4: if this process extends through einstein's c barrier, where is it going? is there a point when c is exceeded? is there a point when the entity starts emitting light? i guess it's when time turns around??
answer from Dan - The PHIRICAIS hypothesis suggests that charge phase velocity modes penetrate the speed of light in multiples of Golden Ratio times C. One of the major tests of the theory is that work like Prof.Ray Chao (next section here). This would occur at a geometric threshold point near center probably associated with the Fine Structure Constant ( see the section of goldenmean.info/predictions - showing the fine structure constant derived from the translation of vorticity on the surface of a donut). Re: where the entity emits charge ( like the saints halo ) - is when charge attraction (implosion .bliss electricity ) becomes self-sustaining - then sufficient charge exists to radiate. As far as when time turns around - the hypothesis suggests that faster than light speed is precisely where time travel is enabled ( since time is only a name for the phase velocity of rotation). And further..... (aka Carolan book: 'SPIRAL CALENDAR' ). That apparent synchronicity, and the inhabiting of time ( a measure of relative rotation) is only sustainable ... when event histories become themselves fractal and recursive idealized by Golden Ratio.
regarding - charge moving thru C the speed of light by Mulitples of Golden Ratio - we quote from PHI faster than light - Solution to Event Horizon Penetration - AND DNA Penetrating Light Speed? goldenmean.info/philight "Koeln physics professor Guenther Nimtz, used a hollow metal pipe, called a wave transducer. On the end of the Ca. 20 cm long metal pipe a section of Mozart's Symphony #40 became audible through an amplifier. Not digital quality, but good enough for radio. There was a speed change of the waves that were transduced. This tunnel effect was 4.7 x C [c = speed of light]. The lengths of the microwaves that Nimtz chose were actually too wide for the wave transducer. But still some of them found their way through the other side to the amplifier. In the tunnel occurrence the waves do not seem to require any time. Whereas outside the tunnel the waves were well behaving enough to follow the classical laws and travel at the speed of light. Mozart's symphony has information content, Nimtz contends."
Such an almost unbelievable news item, herein without a date, however was based on actual accepted research. Here I quote Dr. Raymond Chiao's brief summary of these experiments:
"Other experiments confirming the superluminality of tunnelling have been performed in Cologne, Florence, and Vienna [14, 15, 16]. The Cologne and Florence groups performed microwave experiments, and the Vienna group performed a femtosecond laser experiment. All these groups have confirmed the Hartman effect. One of these groups [17] has claimed to have sent Mozart's 40th symphony at a speed of 4:7c through a microwave tunnel barrier 114 mm long consisting of a periodic dielectric structure similar to our dielectric mirror."
--Quantum Nonlocality in Two-Photon Raymond Y. Chiao , Paul G. Kwiat z and Aephraim M. Steinberg. Department of Physics, University of California, Berkeley, CA 94720-7300, December 21, 1994). Pp 10.
We will return to the PHI significance of this above figure a little further ahead.
As I have been speaking about this experiment and others that emerged from other universities, over the years, I mentioned the possibility that we could be enabled to model or understand the 'high dimensions' through which the signal may have transversed, by the Golden Mean or PHI.
I related, over the years, that PHI would be the first localised form of the virtual, and in making cosmological models that are post-infinite maps. Mentioning that PHI would be the best model of coherence, or highest order, that is the simplest pathway by which the nature of this dimension could translate, or mirror in personification, the coherent pathways of those vacuum hyperspaces, even though they may be post-PHI therein. Never-the-less in our localised spatial dimension, PHI would be the simplest constant which would personify the unique signals of these N-spaces. Naturally I was influenced in making such above cosmological speculative models, by basic material on PHI by colleagues.
My colleague Daniel Winter, (who studied with the later Buckminster Fuller, and is an expert on sacred geometry, in the sense of being a public hero in exposing and breaking down into more understandable terms for the layman, many arcane sacred geometrical principles and relationships, which the public at large has never been exposed to before), predicted now, for several years, that faster-than-light signals would be found to travel in the PHI ratios.
His own modelling bore this out. He also has another angle, logic and theory for this, whereby the faster-than-light dimensions are domains of pure fractal implosion, in every direction the greater superluminal harmonics to infinity. This particular article has come into formation, when Dan asked me for references upon my mentioning PHI harmonics in superluminal tunnelling, whilst we were lecturing together in SION, Switzerland, September 2000.
My own modelling herein is perhaps in far more controversial ground, whereby we explore Virtual Field Intergeometries, and Monatomic element's Meisner Field transforms into full superconductive fusion -- a new and very controversial field as of yet (some animated models of intergeometrical monatomic elements at Intergeometry). If such Virtual and monatomic intergeometries were in localised fields, some of these could be considered as quantum decoherence, in their effect, except with the unique attributes of 8 hz phase-conjugation, that Dr. Andrija Puharich discovered in the late 1970s, and patented in his Protocommunication II.
Dr. Chiao, however, does indicate that the superluminal transportation does involve decoherence of the local photons as well:
"The superluminality can be understood by thinking of the low transmission through our barrier as arising from destructive interference between waves which have spent different lengths of time in the barrier. "
--tunnelling Times and Superluminality: a Tutorial. Raymond Y. Chiao. Dept. of Physics, Univ. of California. Berkeley, CA 94720-7300, U. S. A. November 6, 1998. Pp 10.
Although, in the monatomic intergeometries, any photon group, would be infrared coherent laser, which in increased critical thermal exposures, phase-cancel each other out, this also became apparent in the faster-than-light experiments listed in the September 2000, issue of the Scientific American entitled "Unlimited Light", pp 18:
"The researchers used a combination of laser beams to create an usual region of 'anomalous dispersion' in the six centimeters of cesium gas, where the velocity of light is higher for higher frequencies of light (ordinarily higher frequencies mean lower speeds).
"This region causes the pulse to 're-phase,' according to Wang. The light pulse, all of whose constituent wavelengths overlap constructively, loses its phase alignment as it propagates toward the cell, causing the waves to cancel one another out. "
Hence, what we have modelled with Vortexijah phase-conjugation models, and further intergeometrical explorations, here appear to be an essential part in the superluminal transmission of light, at least on the quantum level. But much more significant confirmations on our Vortexijah models on a more concrete level, have come in, from the American Scientist, in terms of superconduction experiments (which we will report on elsewhere).
This article is not intended to discuss this particle issue of our Intergeometry models any further, and my colleague Dan Winter's models can be found on his web site. I came into writing this piece, in the process of supplying my colleague with the references to the superluminal speeds related to PHI.
This itself is an exciting level of discovery, which is destined to produce a wide array of theories to describe them, classical and mainstream, to the fringe and daring novel visionary science explorations, for those who do not have a position with a mainstream university to compensate exploration and novelty for." end quote from Ananda and Prof Chiao
frank@heartcoherence.com - commented interestingly on this from the article '... it seemed appropriate to suggest dialog about PROVING THAT IT MAY BE THE SELF-SIMILARITY (fractality) OF THE NUCLEUS TO THE ELECTRONS WHICH TRIGGERS THE IMPLOSIVE NONDESTRUCTIVE COLLAPSE CALLED GRAVITY (and that this should be quantized) . In response to a preliminary note suggesting that Implosion due to Self-Similarity was the cause of Gravity and Self-Organization - ....' - to which Frank said:
This is better than formulating (like you did earlier) "the amount of gravity is predicted by the amount of self-similarity",
that is, that would (at least in theory) disconnect the amount of gravity from the plain number ("amount") of hadrons,
which I think is incorrect. It is however revolutionary, and very much in tune with general implosion science, to assume
that gravity is actually caused by the fractal etc. atom architecture, rather than by its sheer mass, which as we know
is mostly concentrated in the hadrons. This would however not explain the gravitational field of neutron stars, unless we
assume that self-similarity inside the hadrons (neutrons) is also effective. As neutron stars form, as far as I know, the only
purely hadronic matter there is, it might interresting to search for any discrepancies in their gravitational constant
compared with normal matter, that is, normal matter might have a more than proportional gravitational field resulting
from its (additional) internal fractality, which cannot be accounted for by the mass of electrons alone. In other words, any
(micro-) discrepancies in gravitational constant among types of matter (e.g. elements) might hint at another source of gravity
than normally assumed, that is, the sheer presence of matter. Let's try to find a pure gold planet (for that matter..) and
learn how the cosmos defines economy..
Besides these spectulations: it is a FACT that the fudge-factor in establising the gravitational constant is so great,
that in fact A PROPORTIONAL RELATION BETWEEN MASS AND GRAVITATION WAS NEVER SUFFICIENTLY PROVEN.
links: The Controversy over Newton's Gravitational Constant
http://www.npl.washington.edu/eotwash/gconst.html
A New Method of Calculating Gravity without the Gravitational Constant
http://www.journaloftheoretics.com/Articles/1-2/Gravitational_Constant.htm
Definition of Gravitational Constant
http://scienceworld.wolfram.com/physics/GravitationalConstant.html
Frank also responded to Blakes question above:"Hi Blake (, ..) this is from Frank (www.heartcoherence.com)
you wrote: (repeating whats above) I am beginning to grasp the role played by phi-optimized self-similarity in establishing a charge-gradient (i assume we're talking 'life-force" here?) gravitational continuum via global scaling, but i am having trouble understanding how this same phialignment grants us with our idependent consciousness-identities: could we see this as an infraorthogonal (as opposed to explosive) complementary complexification? -a hyperdimensioning goldenspiral?
(Frank responds): good that you filter out this point, in your own words;
this one could say was my (and not only mine) main discussion with Dan
.. I realise now, stirred by Santa Fé Institute's early notion that LIFE is an emergent factor.. this triggered my interrest in the first place, but now I completely departed from that; LIFE is NOT emergent, it is projected (that is, by Phi-based symmetry- operations in their projective aspect) along with "chaos". That is, both are projected, and not emergent, the ONLY thing emergent is what you call consciousness- identities. So in that sense: your mind is emerging from order AND chaos. (www.heartcoherence.com/newscience); the Phi-based symmetry-operations in their aspect of forming the receptacle for the emerging mind, is what we know as the cognitive faculty (i.e. complementary to projective faculty);
- the factor which turns general "Anu" into unit perceptive consciousness is merely its degree of complexity (in the sense of complexity theory), that is, an atom, star or galaxy is rather "simple" (linear, with little emergent factor) whereas a biosphere or biological being is complex, creating emergent factor (also called ectoplasm)
|
Visit Steven Phillips lifetime of work on the Physics behind the clairvoyant 7/5 spin ANU slipknot heart of hydrogen / human & sun - www.smphillips.8m.com Some of Dan Winter's visuals on the ANU: Heart of The Sun: Perfecting 7/5 Turning Inside Out Solar Heart .....Steven Phillips physicist of London who wrote "Psi Perception of ...A British physicist named Stephen Phillips examined Occult Chemistry and ... goldenmean.info/heartsun/HeartofSun.html Scale Invariant = Perfect Embedding (No Fear Braiding) = Gravity ... dodec/icos which 5cubes do.. this is phillips actual model for star group valence.. ... per phillips "psi perception of quarks" justification of "occult ... goldenmean.info/ scaleinvariant/scaleinvariant.html Unifying Nations by Unifying the LANGUAGE OF SPIRIT-Names for Life ..... many..see top pic 3 anu per quark., nested in hydrogen for example.. physics research on the clairvoyance by Phillips: Psi Perception of Quarks, book. ... goldenmean.info/namesforspirit/ |
- The proper language to describe the physics going on here urgently needs a non-relative approach, that is, using basic symmetry physics to describe the emergence of individuation or generally individual cognition (unlike general individual "Anu" which is non-cognitive, i.e. has no developed mind), this is A) tetra physics (www.heartcoherence.com/tetraphysics - insert here: closely tied to goldenmean.info/knotslipping DNA braid issues ) and B) (concerning the material sphere) sequential physics (www.heartcoherence.com/sequentialphysics) (this is also the "bhaeravii- stage in easter philosphy symbolised by the bhaeravii-cakra) - THIS IS THE ANCIENT ESOTERICS 5 / 7 SPIN CLEARVOYANCE now for the first time uniquely worked out as accurate, context-rich physics.
- The proper language to describe the aspects of the material sphere itself must necessarily be non-relative too, and this is "self-organization" plus "chaos" (physics angle) and "sensory principle" plus "cognition") (perceptive angle) - both angles or branches were properly intuited by the swastika
- The immediate physical result of the projective symmetry-operations are charge and gravity / inertia, having a (logarithmic) geometric ratio; the immediate physical result of the cognitive aspect is time / space and (same) charge, having a hyperbolic ratio; this together forms the logarithmic-hyperbolic natural fractal of cosmic distribution of gravity and inertia in time and space (global scaling)
- It seems "charge" is migrating through the (apparent) stages of transmutation of the primary cause (unified field or etc..) as is, that is, unlike inertia in fact forming the prime substance of creation (while it seems that the subtle transmigration of charge was traditionally intuited as "Shakti", and the principle of consolidation became matter..)
- the creation of ectoplasmic mind is (thus) understood as an assimilation of material factors (mind emerged from matter) (also Sarkar)
- when the physical container of non-complex "Anu" decomposes, it's (simple) ectoplasmic contents is released into the universe forming seeds of life, in this role called "microvitum" (P.R. Sarkar)
(note that provided enough physics context, it might be quite elegant to say that Phi leads the way out of chaos [Dan] )
.hope is helpfull :-) Frank
_________________________________________
Robin S - wrote:
Dan, if you have a moment to look over this email and comment on it, I'd really appreciate it.
>Has anyone looked at Phi scales (for lack of a better term on my part) based on more "standard" musical octaves?
>
>By this I mean, you can play an ascending or descending Phi scale, and play the identical scale, transposed, one octave up or down. Also, if you were in any given Phi key, would it be permissable to play the scale for the first few notes in proper succession, and then begin to use octaves of the remaining notes in the scale.
>
>Or with Phi, is it the power in the actual vortex of successive notes that propagates or maintains the force?
Would dipping up & down in octaves kill the natural flow of the energy (even though the "notes are the same")?
>What is your take on this?
Answer from dan: you may wish to download doc k.'s phi-music.com , nothing about the sacred there - the point is a) nothing about phi scaling fits ANYTHING about octaves.. .. changing octaves while doing a phi cascade toward implosion is a definite -not helpful. IF you can approximate true analog (not digital sound) you are closer to implosive bliss - but remember - ANY machine induced implosion - minus deep intent pours poison into the DNA group reservoir.>
>I am so glad that I found your website, I wasn't sure that there was anyone else out there who thought about this stuff...
>
>Also, if Phi is "infinite" (in both directions) then how can we legitamately stick our flag in the dirt and say, "this is where I'm starting from."... and then proceed to multiply a given number by Phi in order to spin out a vortex?
>
>Would golden spirals then not depend on one's point of reference? (Also, interestingly enough including the observer as a factor of the results -contrary to most of modern science's strange approach to observational testing). And if this is then the case, are golden spirals an intensely personal thing? How can you possibly share or connect with any other thing in any other instant of time other than the instant where you created the spiral? The spirals would never match up? Even in the split second it would take another resonant body to interpret the spiral, the moment is lost.
>Does this make sense?
>But well... I suppose that the other resonant body could begin to resonate in parallel with that which emitted the spiral... but, has anyone looked into this?
Answer from Dan - see the last answer in this section
>Also, you speak of the dangers of implosion, and of certain parties ignoring these dangers and making music that may be damaging. Can you explain how this is damaging... and if there are are dangers to implosions, what are the safe ways to use implosion? What should a person be striving for with proper use of this knowledge? ...for positive inspiration and bodily effects? Is it the "key" used?
Answer- This dialog began at goldenmean.info/implosionhazards -Pure intention means the wave that can share (coherence) - this means the only sustainable implosive harmonic cascade is the one biology herself built - we study these things only to learn to make it inside ( goldenmean.info/blisstuner ) -- looking for magic music outside is like using goldpowder instead of bliss to fire blood.
>Also, why was Planck's constant used in deriving the music notes in: goldenmean.info/antakarana...this was never explained. Was it pulled out of the air? How does that number aid in a more well-tuned key for audible phi harmonics?
>>I think that that's it for now... there's a lot I still don't understand..but I'm getting there. You are a true inspiration Dan.. thank you. =Robin
Answer from Dan - the Planck length is precisely what put all our waves into phase - thus defining the sacred for physics - and the ONLY way we can all touch in with the same ground. (Planck length by being the universal solvent of the quantum foam - tells the music KEY - of all matter waves.)- then read: Lady in the Hologram with mirror and magnifying glass in the hologram - wanted to see herself in her hologram http://www.goldenmean.info/goldenarches/whologram.html (hint answer- phase discipline. Where is phase discipline in science a) alphabet of symmetry and b) planck length.
and then we have - Robert Boyd -whose web link about scale invariance.. (his note below) : http://www.rialian.com/rnboyd/fernando-physics.htm
Scale Invariant General Relativity, (c) Fernando Franco , [Fernando Franco]:
Major topic on my list is regarding something I feel you will catch on at once. I learned of it in the sci.physics.research newsgroup, whose message archive you can find online at: http://www.lns.cornell.edu/spr/ Perhaps you already know it. At any rate, there is a thread there regarding this, if interested, I suggest you peruse it.
Do you remember normal relativity? You had X, Y, Z, and T (time)? Well, now we have X, Y, Z, T, and F . Where F stands for fractal dimension The whole thing is called Scale Invariant General Relativity. Other keywords are Fractal Spacetime, and Scale Invariance (this last one will take you again to Dan Winter, who is there since ages ago pointing his finger to all what is relevant under the sun).
Let us review the history a little. First we thought all happened in 3 D. Then Einstein and 4D, spacetime. Then Kaluza and higher dimensions. All the way to 11, 26, or whatever dimensions. But what's wrong with all the above? Well, it assumes a few things. And that is always bad news.
Point 1: It assumes an *integer* number of dimensions. Why not a fractionary one??? Who said we do not live in, say PI dimensions (plus time). Or some specific multiple of e (logarithms), or PHI, the golden mean? Who said all the physical phenomena, like electricity, or magnetism, etc, are not the reentrance, partial effects and wigglings of an "incomplete" dimension? (Not even a "higher" one, a la Kaluza, but an "incomplete" one).
True enough, fractals are pretty new, just 30 years or so. Non linearity, chaos, complexity, and so on, will prove to be just different names for the same thing. Children of the concept of "fractional dimension". Its effects. We just upgraded our notion of "dimension" from the integers to the reals (exactly, fractally, and non-coincidentally, since All is just One process, like we did in our generalizations of the concept of "number" through math history. Furthermore, I could conceive even chances of a next revolution, if this one is not enough, leading to hypercomplex dimensions (quaternions, octonions, whatever). But even though fractals are pretty new, fractal thinking is as old a mystic teachings, going as far back as "As above, so below", and probably more, and for the most natural reasons. Madame Blavatsky's Secret Doctrine, circa 1900, is, among another things, a fractal book itself . Almost a treatise on dimensionality. On cosmic branching. But still, this Scale Invariant thing, has been around for almost ten years, and mostly unnoticed. Btw, the man who kickstarted is called Nottale: http://www.daec.obspm.fr/users/nottale/ukliwo12.htm
http://www.daec.obspm.fr/users/nottale/ukmenure.htm
It was god damn time. I've been waiting for this even since I read Blavatsky, some time back. And please, do not get me wrong. There have been some critics already. And perhaps Nottale's formulation is flawed, or incomplete. Nonetheless, my hat goes off for him. THAT is going in the right direction, IMHO. In fact, I just heard that there are even newest shots at it. You might want to check Carlos Castro, from Colombia. I could not check more on him or his references, yet, but I found a most remarkable paper by him (on another subject, but, IMHO, not unrelated, and *most* interesting):
Comments on the Riemann conjecture and index theory on Cantorian fractal space-time, by Carlos Castro and Jorge Mahecha hep- th/ 0009014 v2 12 Sep 2000 ( I assume at http://xxx.lanl.gov/ ) Note the variation, is "Cantorian" fractal spacetime, in this case, and mind-bogglingly enough for the non cognoscenti, full of references to the golden mean (he is not Dan Winter yet, but getting there, and better yet, in full math armour this time). Also please note he says explicitly his results, regarding the Riemann zeta function, are just tentative, non conclusive. Regard it as a good approach in progress. By the way, you might remember a post in Greenglow some time back about fractality found in primes and its connection to the zeta function. This shows tantalizing connections. But I digress, let me get back to the dimensionality story...
Point 2: It assumes a *finite* number of dimensions. Just some of us at this point were guessing that in fact we might be living in N dimensions, which is already a qualitatively different way of thinking. Point 3: It assumes a *fixed* number of dimensions (be it 4, 11, 26, whatever), Why not a variable one??? That is exactly what this new approach addresses. And it implies many things. It is not just that we get fractional dimensions instead of integers. More important than that, IMHO, is that we are passing "from crystalline to fluid". From discrete to continuous. And in an *orthogonal* (i.e., linearly independent) way. A true new variable. This paves the way for the dynamic aspect. True cosmology. How did all start (IFF it started)?. And how did it develop? (which is just the same questions, really, since there is only ONE process going on; it just happens to be fractal).One note on cosmology. It comes in two basic flavours: there was a start, or all is eternal and cyclical. All this new stuff, plus more to come is invariant with respect to that. Either if one conceives the universe as starting, or cycling (possibly passing at some point through a "root" of its function, something like a "ground state"), vacuum), all this holds the same. If one conceives the universe as starting, then this movement to fluidity, to continuity, fractional dimensionality, provides a way for its development to happen. And does so within the frame of a ToE, namely, that All is One, and never stops being so. If one conceives it circularly, then this describes its movements. Topological fluctuations of the vacuum, sort of. In both cases, the move to continuity says nothing regarding if there was a start or not, and IMHO, will not say anything in the future as well. Not because of this line of thinking, at least. Is independent. Just for completeness, the question remains about if there could be yet another chance to line or circle, it does not seem unlikely, given we see helixes all over, and they are a combo of both. But at the true root of that lies a question of *logic*, and it seems the time is not ripe yet for that (coming soon, though).
One final comment on this. Once one has such a mechanism (either of evolution in the sense of creation, or just of cyclical evolution, there is a word that comes to mind to describe this process. That is *decoherence*. It so happens that that particular word seems to be being used at the time by physicists. I tried to check, but even though I read a few things, it remains unclear to me at the moment. The context seems to be similar (wave collapse, for instance), but I strongly suspect they refer to something different. Let me clarify a bit what I mean by it...
It is the old philosophical problem of the One and the Many. How does One thing become Many? By division, seems the obvious answer, does it not? However, let us remember that we are seeking a ToE. A unified field. So we should rephrase the above question to... How does One become Many without stopping being One? Still seems a bit of a contradiction, unless we change it again to..."How does One *apparently* become many?", which is much more logical, since it never stopped being a One thing and One only. This new formulation takes into account the fact that the very question is asked by observers, which are immersed in the very process. That is, takes "perception" into account. The relative with respect to the absolute, the part with respect to the whole, if you so wish. Note that it still is incorrect, though, because the "observers" are part of the whole as well, and not distinct from it. But even though I could go into the geometry and topology of consciousness...let me not digress. *Coherence* seems to me something much more basic in itself that most of the concepts used more commonly by physics nowadays. We have seen it in action in things like coherent light, lasers, cutting through metals, so is officially no longer just mystics talk, thank god, and we can proceed on it. Coherence: co-here, the capacity to occupy the same space at the same time (or the same state, like in quantum physics, if you wish). Things in phase. Harmonic. No auto-interference. In short, the result of phase conjugation. And the way to *warp*. To co-here the vacuum. the opposite process than that of "creation". Decoherence, as I mean it, at least, would be just its opposite. To go out of phase, to bifurcate, etc., etc. It is not difficult to see how it relates to dimensionality. One can conceive the cosmic process as a departure from a starting state (linear case), or from a ground state (circular case). Today we speak of vacuum fluctuations. Of course, that was what Pythagoras was all about, and Hermes, and everyone else.
May I share with you a little gem it just downed on me? I was rereading, as I do constantly, Blavatsky's Secret Doctrine. In the middle of describing an ancient manuscript's account of how and why it all happens, and how next "things" sprout from the former, she says something like...> and those globes have children...which are at the same time their children and their brothers< Most curious expression, wouldn't you say? I wondered for years what the heck she might be talking about. A few days back, then, I was thinking...is the number one an integer, or a rational? Is it 1, or 1/1? Does it not have children (rationals) which are at the same time its children and its brothers? Note that exactly the same pattern we find each time we expand (should I say "quaternionically bifurcate"?) our notion of "number". Same thing I said about 1, could be said for the complex (1,0). Or for any unit, for that matter, be it quaternions, octonions, or whatever. In short, she spoke of laya centers, or neutral centers (in Keely's parlour). We would say today " nested relative zeropoints ", or invariant longitudinal or scalar waves, or a dozen more. "That which splits both intra and inter dimensionally". of which the golden mean is, of course, the golden path...and unique. Invariant both transversally and longitudinally at the same time. Keeping its information (its angle) both intra and inter dimensionally. etc., etc. I assume you notice all the same regarding neural nets, and I assume that's what's behind Hnet, either in its original form, or in your own improvement. Perhaps I could improve as well. Anyway, decoherence. I reckon we will be using that word much more very soon (in the described sense).-
Particular thanks to Michael Heleus - 
also see link - for his suggestions here:
Step one: download TonySweBook.pdf - around 100 MB, a tagged pdf file. http://www.valdostamuseum.org/hamsmith/
or http://www.tony5m17h.net/ or http://www.innerx.net/personal/tsmith/ . As the 100 meg is large - we exerpted some key pics below and placed a snippet at TonySwebBook-HTML exerpt
The dialog begins by discussing how the compression of spheres (charge radii?) can be optimized. (Gravities coeur question I would think). Think about Jim Sawyer - 6 dimension design - teaching the International Conference on Superconductivity in Buffalo NY years ago - that the BEGINNING OF SUPERCONDUCTIVITY - hint palladium is dodeca (Patterson's cold fusion beads)- is when the major charge centers in a molecular structure JITTERBUG - 
like the vectorflexor - to CHANGE SYMMETRY in 3D - from the CUBE-OCTA - WHICH DEFINES 3D spheres - charge radiance fields- best close packing - origin of zodiac geometrics - to ICOSA / DODECA - origin of ZOME 
- and STAR MOTHER KIT - 
.. this leads to his analysis of what Richard HAWKINS (his Jitterbug- 
) CALLED TIMESTAR (my version of which isDan Winter animated: goldenmean.info/TIMESTAR/TIMESTAR.html - exerpted :
5 Cube Spins means, 15 great circles (3 per cube).."An Angelic Uroboros"
(end Winter's article image exerpt)
- Next Hawkins presents Krsanan Duran's version of the Timestar - which is the simplified way 5 TETRA (which in pair would be 5 cube) perfectly tilt into DODECA (without noting that the critical tilt angle that allows 3D cube into 4spin dodec - hypercube / tesseract- is the 32 degree critical spine top chin tilt of sphinx - see - goldenmean.info/merkabbah ) - . When Krsana first worked to produce her image of 5 tetra in cube timestar - ( about 8 years ago I think) I showed her at that time my version of the timestar - (above pic and link http://www.goldenmean.info/timestar ), which extends that dodec by continous stellation (straight out extension of every edge by Golden Ratio) to produce an infinite interdigitation nest of dodeca icosa. (only 3D fractal - goldenmean.info/grail.html ) This symmetry then beings the goldenmean.info/predictions website - on the PHIRICAIS physics ( and the Hadron article ).
ask your self WHY the Poincare major symmetry space is dodecahedral - WHY that stellation (the nodes of the interdigitation extension of edge lines - creating dodec / icos / dodec infinitedly) has an x,y and z coordinate value which are EACH ALL a simple whole number power of Golden Ratio. The distance to center is all precisely a cascade of Golden Ratio to allow compression. This is then what we animated - into this picture - the starting point of the Hadron article:
Summarizing - logic path - If you press todays physics theory as to what is the symmetry that creates gravity from charge -most of them point to the Poincare symmetry - particularly the DODECA one. The dodeca stellation is in fact a 3D interference hologram of Golden Ratio ONLY compression ( as animated in dozens of pics at goldenmean.info/predictions ) - 3 D Poincare space= dodeca / icosa stellation- he calls that TWIST (analogous to the VECTOR FLEXOR -JITTERBUG) - which becomes HYPERCUBE - from the tetra stellations into hypercube - he derives MERU (which to me is the super luminal symmetry of the flame charge fusion core at the zipper lightning core axis of DNA producing the well known 'holy communion effect' there - explaining why you must fix everyone you hurt before death can be electrically successful - in the movie FLATLINERS ) / ... and the Golden Ratio definitions of Sri Yantra.
For your viewing convenience of the key images, here we place an html snippet of Tony Smith's 100 meg downloadable pdf book (links above) the snippet is at TonySwebBook-HTML exerpt
--compare the first part with the summary of symmetry elements of the moebius on the donut which became - alphabets: http://spirals.eternite.com
begin exerpt from Smith- "...the twisted generalized Klein Bottle. The twisted Klein(1,k) Bottle is constructed by forming the product of Sk with an interval and matching the ends with an orientation reversing transformation, so that the Klein(1,k) bottle is not orientable. Since RP1 is homeomorphic to S1, the untwisted S1 x Sk corresponds to the Shilov boundary manifolds RP1 x S3 and RP1 x S7 used in the D4-D5-E6-E7-E8 physics model . The corresponding twisted manifolds are Klein(1,3) Bottle and Klein(1,7) Bottle WHAT IF PHYSICAL SPACETIME WERE TWISTED KLEIN(1,3) BOTTLE RATHER THAN UNTWISTED RP1 x S3 ?----
Eightfold periodicity is related to the 8 trigrams of the I Ching .
WHAT ABOUT the 3-sphere S3, of dimension 2^k + 1 for k=1? It is accurate to say that there is no exotic S3, in the sense that anything homeomorphic to normal S3 is also diffeomorphic to normal S3. HOWEVER, the 3-dimensional analogue S3# of the exotic Milnor sphere DOES exist, but it is not only not diffeomorphic to normal S3, it is NOT even homeomorphic to normal S3. That is because S3# is NOT SIMPLY CONNECTED. WHAT IS S3# ?
S3# is called the Poincare Dodecahedral Space.
Poincare, because it would be a counterexample to the Poincare conjecture in 3 dimensions if it were simply connected. Dodecahedral, because it has dodecahedral/icosahedral symmetry of the 120-element binary icosahedral group , which double covers the simple 60-element icosahedral group. A reference is Topology and Geometry, by Glen Bredon, Springer (1993). WHAT DOES S3# LOOK LIKE? Here are some images from the WWW pages of Richard Hawkins , who calls S3# the Mayan Time Star. His pages contain many more images and movies that help you understand how S3# looks, and also how a lot of other things look.
How did Richard Hawkins find out about the Time Star? Krsanna Duran says: "... I wrote an article about what the Sirians told me about five interpenetrated tetrahedra embodying and unifying all prime geometries which was published in January, 1995. Richard Hawkins read the article and and sent an email to Gerald de Jong about it. Gerald de Jong constructed a computer model of the five interpenetrated tetrahedra to discover that it did all the things I said it did with extraordinary elegance. ...".
The Time Star is one of my favorite Archetypes.
Start with a dodedecahedron. Five tetrahedra fit inside the dodecahedron:
The alternating permutation group of the 5 tetrahedra is the 60-element icosahedral group. Now, to see things clearly, look at just one tetrahedron.You can symmetries more clearly when you put an octhedron inside the tetrahedron and a cuboctahedron inside the octahedron:
Take the one tetrahedron and put it inside a cube, with one edge of the tetrahedron in each face of the cube. Now rotate the cube around inside the dodecahedron, while you also rotate each of the 6 edges of the tetrahedron each of the 6 faces of the cube. Start like this:
then, 36 degrees later, it looks like this:
The tetrahedra edges now are parallel to the cube edges. 36 more degrees, after 72 degrees total rotation, the edges will have again formed a tetrahedron. Keep rotating. After 360 degrees, you have made 5 tetrahedra (one each 72 degrees), and this is what you have:
The cube is back like it was, BUT THE TETRAHEDRON IS ORIENTED OPPOSITELY with respect to the cube from its original position. YOU HAVE TO ROTATE 720 degrees TO GET BACK LIKE YOU STARTED. That means that, to make S3#, instead taking the quotient of SO(3) by the 60-element icosahedral group, you should take the quotient of S3 = Spin(3) = SU(2), the double cover of SO(3), by the 120-element binary icosahedral group. Therefore, S3# is a natural spinor space, and 5-fold Golden Ratio Icosahedral Symmetry is a manifestation in 3 and 4 dimensions of the Milnor sphere structure of 7 and 8 dimensions... exerpted here
Next imagine this model as living in the 3-sphere. Hollow out all these rings: actually delete the portion of space that lies inside them! We now have a 3-manifold M whose boundary dM consists of 8 connected components, each a torus. Of course, a solid torus also has a torus as its boundary. So attach solid tori to each of these 8 components of dM, but do it via this attaching map: (x,y) -> (y,-x+2y) where x and y are the obvious coordinates on the torus, numbers between 0 and 2pi, and we do the arithmetic mod 2pi. We now have a new 3-manifold without boundary. This manifold is called the "Poincare homology sphere". Poincare invented it as a counterexample to his own conjecture that any 3-manifold with the same homology groups as a 3-sphere must *be* the 3-sphere. But he didn't invent it this way. Instead, he got it by taking a regular dodecahedron and identifying its opposite faces in the simplest possible way, namely by a 1/10th turn. So, we've gone from E8 to the dodecahedron!
... The fundamental group of the Poincare homology sphere has 120 elements. In fact, we can describe it as follows. The rotational symmetry group of the dodecahedron has 60 elements. Take the "double cover" of this 60-element group, namely the 120-element subgroup of SU(2) consisting of elements that map to rotational symmetries of the dodecahedron under the double cover p: SU(2) -> SO(3) This is the fundamental group of the Poincare homology ...[sphere]... Now, this 120-element group has finitely many irreducible representations. One of them just comes from restricting the 2-dimensional representation of SU(2) to this subgroup: call that R. There are 8 others: call them R(i) for i = 1,...,8. Draw a dot for each one, and draw a line from the ith dot to the jth dot if the tensor product of R and R(i) contains R(j) as a subrepresentation. We get this picture:
o----o---o----o----o----o----o | | o
Voila! Back to E8. ...".
The Octonions are the only Division Algebra with Reflexivity.
The Unit Spheres of the Division Algebras K are related to the Hopf Fibrations of the form Sn = Sm / KP1. For the Real Numbers, the Complex Numbers, and the Quaternions, their Unit Spheres directly form Lie groups : REAL NUMBERS S0 = S1 / RP1 = Z2 is a discrete group COMPLEX NUMBERS S1 = S3 / CP1 = Spin(2) = U(1) is a Lie group QUATERNIONS S3 = S7 / QP1 = Spin(3) = SU(2) = Sp(1) is a Lie group For the Octonions, the Unit Sphere S7 does NOT form a Lie group . However, the Unit Sphere S7 does EXPAND to form the Lie group Spin(8) . If the process of expansion is continued upward from S7 to Sp(2) to SU(4) to Spin(8), and you note that Spin(8) is in the Clifford Algebra Cl(8), then you see that the upward expansion can continue indefinitely to Cl(8N) for arbitrary N. If you go downward from Spin(8), based on Real Numbers, to SU(4), based on Complex Numbers, to Sp(2), based on Quaternions, to S7, based on Octonions, then you see that the downward expansion can continue indefinitely to the ZeroDivisor algebra ZD(2^N) for arbitrary N. THE INTERPENETRATION OF THE UPWARD-BASED WEDGE AND THE DOWNWARD-BASED WEDGE SHOWS OCTONION REFLEXIVITY . next we see this becoming opposite vortex triangle pairs (like the tetra in cube ) whose shadows become sri yantra...
... ... AS OP2 IS THE HIGHEST DIMENSIONAL OCTONION PROJECTIVE SPACE, THERE ARE NO HIGHER DIMENSIONAL STRUCTURES OF THAT TYPE.
There are only 3 Pairs of Interpenetrating Triangles, corresponding to
the Octonions.
the Sedenions (pairs of Octonions) and
the Leech Lattice (triples of Octonions).
For each Pair of Interpenetrating Triangles, each Single Triangle corresponds to Mt. Meru :
A Mogan David expands to form a Sri Yantra:
This Sri Yantra is a more symmetrical modification of Sri Yantras from two different web pages. It has 4 Sides, corresponding to the 4 dimensions of physical spacetime of the D4-D5-E6-E7-E8 physics model and to Octonion coassociative squares. The 2 Border lines of the 4 Sides correspond to the 2 Quaternionic 4-dimensional Spaces that form the 8-dimensional Octonions, and so to the 8 Directions.
The Sri Yantra has a Center, which, combined with the 4 Sides, corresponds to the Five Elements.
The Sri Yantra has an Outer Lotus of 16 Petals, corresponding t o two half-spinor representations of the Spin(8) Lie algebra and to the first-generation fermions of the D4-D5-E6-E7-E8 physics model. The 3 Border Rings beyond the Outer Lotus Petals correspond to the 3 generation of fermions of the D4-D5-E6-E7-E8 physics model.
The Sri Yantra has an Inner Lotus of 8 Petals, corresponding to the vector representation of Spin(8) and to the 8-dimensional spacetime of the D4-D5-E6-E7-E8 physics model prior to dimensional reduction.
The Sri Yantra has 9 Triangles, with each triangle corresponding to an Octonion associative triangle.
The first 6 triangles, 3 pairs, correspond to:
the Octonions O (red pair of reflexive interpenetrating triangles),
the Sedenions OxO (red and green pairs of reflexive interpenetrating triangles), and
the Leech Lattice OxOxO (red, green, and blue pairs of reflexive interpenetrating triangles),
which in turn correspond to the Lie algebras E6, E7, and E8, and to the 3 generations of fermions in the D4-D5-E6-E7-E8 physics model;
The remaining 3 triangles, one gold pair and one purple triangle, correspond not to pairs of reflexive interpenetrating triangles, but to Octonion associative triangles. Each triangle therefore represents an entire Octonion algebra containing that associative triangle, and the 3 triangles together represent how the 3 Octonions of OxOxO are related to one another.
The gold pair of triangles corresponds to the two mirror image Octonion half-spinor representations of Spin(8).
The purple triangle corresponds to the Octonion vector representation of Spin(8).
The Sri Yantra has a Central Vertex.
The 9 Triangles have 27 Vertices, corresponding to the 22 Hebrew letters plus 5 Finals.
The 27 Triangle Vertices correspond to the 27-line Configuration whose symmetry group is the Weyl Group of the 78-dimensional Lie algebra E6.
The 27 Triangle Vertices also correspond to the 27-complex-dimensional space E7 / (E6xU(1)).
The 27 Triangle Vertices plus the 1 Central Vertex correspond to the 28-dimensional adjoint representation of Spin(8), which in turn corresponds to the 12+16 = 28 gauge bosons, Higgs mechanism, and propagator phase of the D4-D5-E6-E7-E8 physics model.
The 28 Vertices also correspond to the 28-quaternionic-dimensional space E8 / (E7xSU(2)).
The 28 Vertices plus the 16+8 = 24 Lotus Petals form the 52-dimensional Lie algebra F4, to which the Lie algebras E6, E7, and E8 are related by the Freudenthal-Tits Magic Square.------
The construction of this Sri Yantra is based on the Golden Ratio of the Great Golden Pyramid:
It is so constructed that the distance from the lower corners of the 2x1 rectangle to the top and bottom vertices of the Sri Yantra is PHI = (1/2)(diagonal of rectangle + 1) = (1/2)(sqrt(5) + 1).
Since PHI^2 = PHI + 1, the radius of the circle is sqrt(PHI^2 - 1^2) = sqrt ((PHI + 1) - 1) = sqrt(PHI).
Let D be the distance between the base lines of the two largest triangles. Then the highest and lowest base lines are at distance D above and below the base lines of the two largest triangles.
Everthing else is constructed symmetrically from those basic elements. The construction method is a more symmetrical modification of the method shown on a Golden Sri Yantra web page.
The 4-dimensional 24-cell can be expanded using the Golden Ratio to a 240-vertex real version of the Witting polytope.
The above image is a 130k Mac GifBuilder animation of a 4-dimensional rotation of a 24-cell. It is a stereo pair that will (for many people) fuse into a 3-dimensional view of a 3-dim projection of the 24-cell. The colors code the 4th dimension: Green is the present; Red is the past; and Blue is the future. Things get blurry at the end of each loop, as the (interlaced) gifs are reloaded for each loop. It will loop forever on Netscape, so when you are tired of it, go back to the previous page, or click below to go to my Home Page.
If you want to see smoother animation, and can download and view a 742k Mac Quicktime .mov animation, HERE IS A MAC QUICKTIME .MOV . It can be played in a loop. The underlying graphics were generated by a C program written by Michael Gibbs, e-mail address JMTSGibbs@aol.com and WWW URL members.aol.com/jmtsgibbs/index.htm . He wrote a BinHex Mac version called Draw4D27.hqx . You can click to load it. If you do, you should also load: ReadMe4D , 24Cell , Hypercube , Cross , Simplex , Grid , 24vertex , LC24vertex , 45pt27ln , 135pt27ln , and 27-lineComments ,which are text or data files to be put in the same Mac folder as Draw4D27.hqx.The total size of Draw4D27.hqx and the text and data files is about 130k. The animation shows different perspectives of the 24-cell, including but not limited to the one
with a past vertex (1 vertex, present cube+octahedron+cube (8+6+8 vertices), and future vertex (1 vertex), in which the two sets of present cube vertices coincide, so that the present figure looks like a rhombic dodecahedron (the animated gif above is almost like it, but not quite, as the present and past cube vertices do not quite coincide so that the past and future vertices do not overlap). Two perspectives of the 24-cell are:
which has a central 12-vertex cuboctahedron
and
which has a central 14-vertex rhombic dodecahedron
The 4-dimensional 24-cell, with 24 vertices and 24 octahedral cells, is the only self-dual and centrally symmetric real polytopein any dimension. The central cuboctahedral representation is dual to the central rhombic dodecahedral representation. The 48 vertices of both representations combined forms the 4-dimensional root vector diagram of the 52-dimensional exceptional Lie Group F4 , which has fibration F4 / Spin(9) = OP2, the Octonion Projective Plane.
Here is a different perspective illustration, patterned after Fig. 172 of Geometry and the Imagination (Anschauliche Geometrie) by David Hilbert and S. Cohn-Vossen (Chelsea 1952), with 12 green vertices of a central cuboctahedron, 6 red vertices of an inner octahedron, and 6 blue vertices of an outer octahedron:
The Hilbert - Cohn-Vossen perspective is useful in understanding conformal graviphoton physics of the D4-D5-E6-E7-E8 VoDou Physics model.
Michael Gibbs also wrote versions of the polytope software in other computer languages, including DOS and Java, and his other versions generate some more polytopes,
including:
120-cell and
600-cell.
You can build a 600-cell, which has 120 vertices, from a 24-cell, which has 24 vertices and 96 edges.
To see how this works, it is convenient to view the 24-cell from a perspective in which it has a past octahedron (6 vertices), a present cuboctahedron (12 vertices), and a future octahedron (6 vertices). This figure