The CAUSE of GRAVITY: Fractal Self Similar Charge Symmetry- creates the recursive CONSTRUCTIVE 'charge collapse' which even Einstein used to DEFINE GRAVITY ELECTRICALLY..
here is the model, the visual proof- the cause of the GRAVITY MADE BY ATOMS- is the fact that the NUCLEAR particles geometry (platonic nest) is PROFOUNDLY -SELF SIMILAR to the ELECTRON SHELLS! (platonic nest)

Chemist Moon, Univ Chicago shows below the platonic nature of nuclear hadron nesting, Winter - here confirms the model- showing the necessary correlation to the fact that the s,p,d,f electron subshells HAVE PRECISELY THE SAME SELF SIMILAR SYMMETRY (torus to cube to dodec /icos). -

A New Scientific / Biofeedback BreakThru - from Implosion Group -Dan Winter
Update May 2010, In this article we show visually how the nucleus parts are precisely platonic and self similar (fractal) to their corresponding electron shells..
This discussion became so much more compelling when we published my new equation proving that Planck LENGTH times Golden Ratio accurately predicts 3 of the Golden Ratio radii of hydrogen: goldenmean.info/goldenproof

We update our stellar discussion of fractal plasma at: goldenmean.info/carringtonevent

"Essentially the more compressed form of plasma - that results when the spin /rotation symmetries complete their platonic (and therefore Golden Ratio) nesting - is called the atomic table. See goldenmean.info/creation -for pictures. Notice there the seed for your new understanding that the atomic table's platonic and golden ratio fractality is itself powerful evidence - that even atoms only make and have gravity because their inside -nucleus, is fractal (& golden ratio ) to their outside - electron shells."

Update April 2017 - HOW Fractal Self Similarity should be taught- visually- as the principle wave mechanic principle of the origin of the atomic table

Major Image Series at the bottom of this article

also added here- a slideshow (last slide is animated)

Implosion Group (publications from Dan Winter) newsletter Dec20, 06 url: goldenmean.info/creation
Main Index: goldenmean.info or goldenmean.info 1 Million hits/month average in 06, Our film library..To Subscribe email to: lophi-subscribe@think42.com , To unsubscribe email to lophi-unsubscribe@think42.com - Language Index- English, French, Spanish, German, Italian
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Charge Array SELF SIMILARITY: Cause of Mass Creation

Visualizing WHY Self-Similarity of Charge symmetry
is the electrical cause of the gravity which holds atoms (and everything) together..

Dan Winter proposed the idea that fractal charge collapse is the CAUSE of gravity -presenting at the major international conference of Unified Field Physicists in Budapest.

Self-similar or fractal non-destructively COLLAPSEable charge: the CAUSE of gravity?

We have suggested this hypothesis about the cause of gravity also because it can help us understand the gravity making empowerment of DNA during charge absorbing BLISS. (Peter Gariaev's phantom DNA, research in Russia for example). This could be a way to survive the solar maximum / 2012 /rapture for example- in your charge field KA or rainbow body. When the bodies charge field becomes coherent enough (coherence perfected is fractal in this model)- then you have the doorway to sustainability electrically (immortality).

In this pictorial essay - we are suggesting physics must consider: WHY electron shells valence symmetry is precisely SELF SIMILAR to NUCLEAR SYMMETRY. The way protons/ neutrons nest (see pics from U.Chicago chemist MOON below) appears platonically perfectly SELF SIMILAR to the way electrons nest. If this is true- is this because only this fractally enabled charge collapse the CAUSE of GRAVITY?

Also note below the pic and link to spirasolaris.ca showing recent physics evidence the Golden Mean ratio is the ubiquous principle of planetary orbital geometrics (Kepler's dream realized). If this is true- is it because Golden Ratio self similarity enabled charge collapse is key to stabilizing the gravity of the solar system?

We illustrate here that the platonic solids nest (tetra/cube to dodeca to icosa) IS specifically the precise symmetry nest of :

a) the geometry of atomic nuclei - nuclear hadrons (protons and nutrons arrangement in the nucleus)

b) the interlayering of the s,p,d,f - master set of electron shells as thruout all atoms

c) golden ratio and therefore implosive and gravity making self similar charge collapse.

Each edge or wave length ratio of cube to dodec, and dodec to icos, and icos to dodec IS only Golden Ratio. And further the x,y,z coodinate value of EACH vertex in the inPHIknit array of cube/dodec/icos/dodec/icos/dodec/icos.... (see 'Starmother' kit) is a simple whole number power of Golden Ratio.

THEREFORE (in the cube/dodec/icos/dodec/icos infinite platonic nest) the distance to center in each case from each vertex specifically ALLOWS the recursive CONSTRUCTIVE charge wave heterodyning which ONLY Golden Ratio allows. This is THE solution to Einstein's electrical recipe for gravity: infinite constructive charge compression or collapse. Using Golden Ratio - charge compression BECOMES charge acceleration because the wave velocities add and multiply constructively as well as the wave lengths. In this model, charge acceleration is considered identical to the production of gravity.

Links- Golden Ratio in physics.

--

If this is true - then we suggest physics must deal with the hypothesis that it is precisely that charge collapse (toward implosion) of self similarity which is the cause of the gravity making which holds atoms together. This will then set the stage for understanding the role of biologic generated 'phase conjugate' 'DNA radio' charge fields in the production and stabilization of gravity. Thus we come to begin to understand the astronomic logic of star systems expending energy to fabricate genepools like ours. (Star making and "Sun God' production).

As we discussed at goldenmean.info/gravitycause experimental protocols intended to prove that charge collapse (for example there - in phase conjugate dielectric capacitor array) is the cause of gravity. At goldenmean.info/gravitycode we discuss a history of modeling of gravity symmetry which (as in Poincare's use) include the golden ratio rich - nested dodecahedron. (This is also the shape/symmetry of the cold fusion key: palladium atom).

Here we merely add some visual review - suggesting how compelling this idea is- and worthy of further (and more mathematical ) development.

Here, in summary, is our thesis

1. Only fractality allows infinite compression.

2. Perfect compression of charge is the cause of mass creation AND gravity- because... The quality of inertia storage which defines mass only arises out of charge in rotation - when that rotation is locked into phase BY the centripedal implosive force of charge acceleration thru light speed at center (gravity). (Why perfecting curvature or corriolis like forces is often modelled to understand gravity).

Rotational force= mass. Transverse charge moving BETWEEN frequencies and phase velocities thru center= gravity. Perfected translation of vorticity / Golden Mean - optimizes that path of perfect curvation translation from MASS to the energy in GRAVITY! (Gravity coupling the vacuum by fractalized coherence is NOT free energy- see goldenmean.info/notfree ).

3. Golden Ratio being the only geometry of constructive recursive heterodyning (recursive wave interference) - is the curvation of space time which is the cause of gravity. In hydrodynamic terms: optimized translation of vorticity. Only Golden Ratio allows phase VELOCITIES of the interfering charge waves to recursively interfere CONSTRUCTIVELY. In this way a portion of the charge inertia of compression is TRANSLATED (in vorticity) in to ACCELERATION. In this model - if charge rotation stores the inertia defining mass, the periodicity defining TIME, then also the same ACCELERATION of that charge DEFINES GRAVITY (heterodynes add and multiply the wave SPEEDS)

So while physics is correct to say gravity is caused by the curvature of space time, they fail to realize the geometric perfection of that curvature is Golden Mean. If as hydronamics claims that Golden Mean is optimized translation of vorticity - and charge in rotation is mass, and linear charge is energy (when heterodyned recursively becomes gravity)- then Golden Ratio defines the only non-destructive charge path between mass and energy.

Below- the mission statement outline from Implosion Group - on THE FRACTAL FIELD,

Left- the new pictorial essay - why Self Similar Charge Compression is the cause of mass creation and the gravity which holds atoms together.

"This web site is based on one simple yet entirely revolutionary, testable and TEACHABLE concept- that FRACTAL or non-destructive (golden ratio optimized / implosive) CHARGE COMPRESSION is the essential symmetry and CAUSE of all: 1. mass creation (essay left),
2.
gravity,
3. biology,
4. healing (including the physics of harmonic inclusiveness predicting disease resistance in EKG HRV)
5. self organization from chaos,
6. symbol making,
7. consciousness, and
8. all BLISS / PEAK EXPERIENCE / ENLIGHTENMENT
.

The FRACTAL FIELD - Revolutionary Research Frontier - with Radically Powerful Solutions to Virtually ALL Major Global Issues..
"A new scientific truth does not triumph by convincing its opponents and making them see the light, but rather because its opponents eventually die, and a new generation grows up that is familiar with it."--Max Planck, German Theoretical Physicist

1. Peacemaking: How The FRACTAL FIELD Can Make Teaching PEACE Into a New and Powerful SCIENCE - more: goldenmean.info/peaceuniversity

2. Agriculture: How the FRACTAL FIELD Can Revolutionize Farming by creating Phase Conjugate Environment which properly allow DNA to Communicate and Thrive electrically - more: goldenmean.info/germination , and goldenmean.info/phaseconjugation

3. Architecture: How the FRACTAL FIELD Can ReInvent Architecture now that the Principle of Building a BIOLOGIC CAPACITOR Allows us to Create Structure to Truly Create Healing and Bliss in Biology - more: goldenmean.info/architecture

4. Genetics: How the FRACTAL FIELD Can ReDefine Success in Genetic Research / and Engineering - based on ReDefining DNA COHERENCE, and DNA 'Radio', and DNA Ability to Absorb and Radiate the Electric Field of LIFE! - more: goldenmean.info/decode , and goldenmean.info/12strands , goldenmean.info/phaseconjugation

5. Psychology of BLISS / Ecstasy and PEAK EXPERIENCE: How the FRACTAL FIELD Allows Us Now to Define, Measure and most of all TEACH - Peak Experience , Bliss, Ecstasy - True Enlightenment - more: goldenmean.info/clinicalintro

6. Urban Design: How the FRACTAL FIELD Allows us to Re-Invent URBAN DESIGN Based on Fractal Charge Compression- to Attract People, Money, Charge and LIFE FORCE Back into Urban Design- more: goldenmean.info/lightcity , goldenmean.info/rosycross

7. Weather / Climate / Rainmaking: How the FRACTAL FIELD Allows us to Attract Rain - and Regulate Precipitation - more: goldenmean.info/rain , and The Yantra Pics at goldenmean.info/callingallangels

8. Energy: How the FRACTAL FIELD Can Allow Us to PROPERLY Use Charge Self-Similarity to COHERE and Couple the Gravity Field for Electric Charge - WITHOUT Destabilizing the Earth Grid - more : goldenmean.info/gravitycause , goldenmean.info/notfree

How the (Phi) FRACTAL FIELD provides radical new solutions to GLOBAL WARMING: goldenmean.info/warming , and WHEN COLD FUSION gets COLD: goldenmean.info/fusion

9. Another example of FRACTAL FIELD - self similar charge field -revolutionizing medicine..- note how Negative Ion Wind (a fractal field) radically sweeps infection and parasites from the body ( see: ref 1) -perfectly consistent with using fractality to measure ANY liquid's ability to support life ( ReDox Potential measure at goldenmean.info/healingphase ) and - measuring fractality in Air to find and measure life's electric signature ( see IGA at phaseconjugation link). + Fractal Field is Electrical Engineering Instructions for SUCCESSFUL DEATH! - goldenmean.info/death

10.-FRACTALITY in the HEART-solution to EKG+ virtually ALL disease resistance: goldenmean.info/holarchy , goldenmean.info/heartmathmistake

11.-FRACTALITY in TIME (time=measurement of charge rotation) -charge systems emerge from chaos only this way-fractality (how to generate synchronicity): goldenmean.info/TIMESTAR , goldenmean.info/timewave- Just as Bruce Cathie showed nuclear critical mass varied with grid position, in space AND time - fractality (constructive charge compression) is the OBVIOUS principle- so capacitors properly arranged in a golden spiral firing in TIME - WILL reduce critical mass! (sorry CIA - the principle of FRACTALITY {fear's opposite} is PUBLIC information).

THE BUDAPEST (Unified Field Physicists Conference ) LETTER - Nov 18,06 (draft)

          The planet earth and its inhabitants are currently in a state of oblivious, dangerous and ominous flux.  The scientific members of The Budapest Conference (The Conference), from all of the disciplines of science have gathered together in Budapest to devise a plan (experiment) called Metatheory and its Metaphilosophy.  The members of the conference have constructed a solution to the impending global geopolitical and geo-economic crises that are currently on the brink of utter disaster and outright catastrophe.       

           The members have all agreed that there is an imperative need for the intuitive self and the analytical self to become balanced in a harmonious and peaceful environment that will inevitably result, through the direct and immediate implementation of the Metatheory and its associated Metaphilosophy.  The Metatheory will include, but will not be limited to the following concepts:  Reverence, human dignity, inter- and cross communication and the direct experiential aspects of absolute being through the direct connection to the cosmic consciousness.   Furthermore, the Metatheory will encompass a formidable and extraordinarily viable solution to the earth’s current and horrific state of affairs including imminent disastrous and catastrophic impending events looming on the horizon.  The Metatheory will resolve the earth’s increasingly diminished levels of socio-economic equality, pain and suffering, global conflict, corruption and most importantly, it’s exponential lowering of the global state of consciousness of its inhabitants. 

            It is this lowered level of the earthly inhabitant’s consciousness that must first be transformed vis a vis an immediate, powerful and sustainable paradigm shift.  This paradigm shift will begin by first raising the level of global consciousness.  The laws of nature, both physical and biological, shall naturally be driven to a higher level or degree of consciousness through the immediate and direct implementation and intervention of a new holistic, scientific, philosophical, pragmatic and experientially motivated paradigm shift. 

            The science and technology are already available and complete in order that the new Metatheory and its Metaphilosophy will most certainly be capable to bring about immediate beneficial and sustainable results based upon the current and common viewpoints of the scientists of The Conference and their respective brothers and sisters of the planet earth.  Communication within the scientific community and its interface with the community, shall thoroughly establish both the proper and efficient implementation of the new paradigm shift through its Metatheory and Metaphilosophy. 

Respectfully Yours, 

The Scientific members of The Budapest Conference. -------------

(here present in that conference room: coherent biologic plasma / presence in that room... see 'ENERGY BALLS' (the below photo is absolutely un-retouched..thanks to Richard P.!)

Read in the pdf files (right) - Dan Winter sets radical new theme at the recent global physicists colloquium in Budapest:
Grand Unification Physics International Conference

From Dan's presentation:
1. A proper test for a theory of gravity is, if it can describe how to (electrically) repair gravity (and retain atmosphere). The simple physics is that restored fractality restores / stabilizes gravity and the possibility of holding atmosphere and restoring climate from chaos. Long wave magnetic lines properly mapped and restored to dodeca icosa fractality do precisely that (invite constructive implosive charge collapse thereby self organizing wave systems back into life giving fractality).

2. A proper test for a scientific theory of consciousness is, if it can describe the precise (electrical) steps to restore consciousness. Restoring healthy fractal charge conditions (eeg Golden Ratio, phase conjugate or biologic architecture, live enzyme nutrition + yoga) around the body - absolutely pushes out infection / inflamation (lack of compression) - and brings back the possibility of electrically nourishing DNA, seed germination and bliss. Life and biology's survival symmetry library is none other than the information (charge) compression and distribution efficiency which precisely results from fractality. (Fractality in liquids / ReDox Potential, and fractality in AIR / I.G.A. - always measure the presence of LIFE ITSELF!).

Mass=Constructive (fractal) Charge Compression/Collapse : Is CHARGE The 'Vortex Sponge' of the ETHER? ... see alsoThe Planck Ether Hypothesis and the Origin of Charge, Winterberg, F. from General Relativity and Gravitation, proceedings

+Mass is only a name for the inertia stored by charge rotation,
+Time is only a name for measuring charge rotation,
+Space-time is a name for the array of rotating charge,
+Dimensions are only a name for how many axes of rotating charge can be superposed in one nest (harmonic inclusiveness in the frequency signature, once fractally 'inclusive' eliminate disease / stabilize life) , and
+Gravity exists when charge can create an accelerating centripedal force due precisely to fractal self similarity between layers of rotating charge (invitation to collapse+constructive phase conjugation of velocities turing compression in to acceleration). Saying that gravity is CAUSED by a curvature in space time is not complete or helpful unless you know that the curvature that permits non-destructive self reentry (collapse) is Golden Ratio (optimized translation of vorticity from circle to line MEANS changing mass to energy - and the inverse).

Ask your 'PHYsicist why PHYsical is named for PHI. Ask your chemistry professor why KHEMistry is named for the Egyptian KHEM which means -ACCESS to a BLACK hole. AllKhem-y.

The FRACTAL FIELD - Revolutionary Research Frontier - with Radically Powerful Solutions to Virtually ALL Major Global Issues..
"A new scientific truth does not triumph by convincing its opponents and making them see the light, but rather because its opponents eventually die, and a new generation grows up that is familiar with it."--Max Planck, German Theoretical Physicist
1. Peacemaking: How The FRACTAL FIELD Can Make Teaching PEACE Into a New and Powerful SCIENCE - more: goldenmean.info/peaceuniversity

2. Agriculture: How the FRACTAL FIELD Can Revolutionize Farming by creating Phase Conjugate Environment which properly allow DNA to Communicate and Thrive electrically - more: goldenmean.info/germination , and goldenmean.info/phaseconjugation

3. Architecture: How the FRACTAL FIELD Can ReInvent Architecture now that the Principle of Building a BIOLOGIC CAPACITOR Allows us to Create Structure to Truly Create Healing and Bliss in Biology - more: goldenmean.info/architecture

4. Genetics: How the FRACTAL FIELD Can ReDefine Success in Genetic Research / and Engineering - based on ReDefining DNA COHERENCE, and DNA 'Radio', and DNA Ability to Absorb and Radiate the Electric Field of LIFE! - more: goldenmean.info/decode , and goldenmean.info/12strands , goldenmean.info/phaseconjugation

5. Psychology of BLISS / Ecstasy and PEAK EXPERIENCE: How the FRACTAL FIELD Allows Us Now to Define, Measure and most of all TEACH - Peak Experience , Bliss, Ecstasy - True Enlightenment - more: goldenmean.info/clinicalintro

6. Urban Design: How the FRACTAL FIELD Allows us to Re-Invent URBAN DESIGN Based on Fractal Charge Compression- to Attract People, Money, Charge and LIFE FORCE Back into Urban Design- more: goldenmean.info/lightcity , goldenmean.info/rosycross

7. Weather / Climate / Rainmaking: How the FRACTAL FIELD Allows us to Attract Rain - and Regulate Precipitation - more: goldenmean.info/rain , and The Yantra Pics at goldenmean.info/callingallangels

8. Energy: How the FRACTAL FIELD Can Allow Us to PROPERLY Use Charge Self-Similarity to COHERE and Couple the Gravity Field for Electric Charge - WITHOUT Destabilizing the Earth Grid - more : goldenmean.info/gravitycause , goldenmean.info/notfree

How the (Phi) FRACTAL FIELD provides radical new solutions to GLOBAL WARMING: goldenmean.info/warming , and WHEN COLD FUSION gets COLD: goldenmean.info/fusion

9. Another example of FRACTAL FIELD - self similar charge field -revolutionizing medicine..- note how Negative Ion Wind (a fractal field) radically sweeps infection and parasites from the body ( see: ref 1) -perfectly consistent with using fractality to measure ANY liquid's ability to support life ( ReDox Potential measure at goldenmean.info/healingphase ) and - measuring fractality in Air to find and measure life's electric signature ( see IGA at phaseconjugation link). ALSO-FRACTALITY in the HEART-solution to EKG+ disease resistance: goldenmean.info/holarchy .
- See the COMPLETE - FILMS ONLINE- Implosion Group Web TV<index --..


<link here
SCIENTIFIC PROGRAM 1. Promising new approaches towards the Grand Unification in Physics
2. Towards the Unification of Physics and Consciousness - topological consciousness theories, quantum psychology
3. Unification of Philosophy- Metatheory, Metaphilosophy
4. A New Understanding of Life - quantum biological theories and their utilisations
Under the Auspices of: Prof. Csaba Varga President of the Institute for Strategic Research
Gábor Koncz PhD President of the Hungarian Cultural Foundation

 Unified Theories - Scientific conference and workshop
November 15., Wednesday Opening and welcoming speeches by
Gábor Koncz PhD. President of the Hungarian Cultural Foundation
Prof. Csaba Varga, President of the Institute for Strategic Research
First session- Promising new approaches towards the Grand Unification in Physics
Chairman: István Dienes,
Matti Pitkänen PhD: A master formula for S-matrix in Topological Geometry-
Alex Hankey PhD.: The Vedic interpretation of quantum theory

Kryuk V.G. PhD.: Natural Time and its properties

Jean-Paul Biberian PhD.: Condensed Matter Nuclear Science - Cold Fusion

Nassim Haramein PhD.: Torque and Corolois force additions to Einstein's filed equations as related to the unified field

Towards the Unification of Physics and Consciousness
- topological consciousness theories, quantum psychology

Chairman: Ede Frecska, Luis Eduardo Luna

István Dienes: Consciousness-Holomatrix - discovering duality symmetry between the geometric brain and topological consciousness.

Matti Pitkänen PhD.: Physics of Consciousness in the Topological Geometry-dynamics framework

Ede Frecska MD PhD.: Subneural basis of interspecies communication

Luis Eduardo Luna PhD.: Plant Teachers in the Upper Amazon. Acquiring Information through Psychotropic Plants.

Prof. Beldi: Planetary Consciousness

 November 16., Thursday Unified Philosophies: Metatheory, Metaphilosophy
Chairmen: Csaba Varga, Endre Kiss

Csaba Varga ass. Prof.: Unified Theory: Metaphilosophy

Endre Kiss, D.Phil: The philosophy of the now and the Metatheories

Gyöngyi Major PhD.: The challenge of the Holos: The theory of the moment is not the moment of the theory

László Márfai Molnár PhD.:

A New Understanding of Life quantum biological theories and their utilisations
Chairmen: Karl Arfors, Mark Abadi

Mark Abadi: Quantum Physics: Bridging the Gap between Science and Spirituality

Karl Arfors MD. PhD.:

James Oschman PhD.: Matrix communication

Dan Winter MSc: The Fractal Field - perfecting "phase conjugation"

Matti Pitkänen PhD.: The physics of biological systems in Topological Geometry-dynamics framework

Ramesh Krishna MD, PhD., DSc..: Quantum Mechanics of Stress Aging and disease

Peter Gariaiev PhD.: Hot questions of biology on which the wave-genetics search for the answer


also new (with this article) particularly see part 3 for animated conversation about this science of fractality..

Real Science of Immortal LIFE with Dan Winter- Dramatically describing his new physics of DNA, Gravity, Immortality, and the Hygiene to Get There!
(English)- - Filmed Dec 19, 06. - Section1 -Section 2 , Section 3
A Streaming (real) Video-from "Radio Evolucion" (FM 91) Radio and TV for Barcelona: Dan Winter - going national in Spain - hosted by Marco - skype ocxaman , Moderator with "Radio Evolucion" (FM 91) - see> genmusic.org , r-evolucio.org , myspace.com/addsmusik , myspace.com/radioevolucion , and area3.net
To be translated in Spanish and animated.

Section 3- Section 3 is particularly a condemnation of conventional physics- more on why they MUST be told -what causes an object to fall to the ground before they will EVER understand DNA's gravity making electric field - at goldenmean.info/phiricais

"Self-Similarity:So, how does nature do it?-(source see link) How does nature direct molecules into snow flakes, or crystals or any other regular form? Chaos Theory has an answer: Self Similarity, a fundamental principle that allows building blocks to mimic their own shape in the building they make.....A large number of particles will display a pattern that is near equal to the initial possibilities of a single particle.....A similar thing is going on here: A large number of elements may form a shape that is derived from the shape of one element. And because no element can be coerced to follow a certain path, no large number of elements will display the exact same pattern as another group. Patterns caused by large numbers of elements are alike but never the same. Hence all snow flakes look alike but no two are exactly identical.
...... Self-similarity is a really big deal. It occurs all over nature and many have argued that self-similarity is one of the key natural principles that shape our world the way it is. Self-similarity has been observed in all fields of research: physics but also biology and even psychology and sociology. It also happens all over Scriptures and has been studied extensively, most often referred to as type-Theology. In the Book of Exodus for instance, Moses constructs the Tabernacle according to patterns he observed in heaven, making the tabernacle a self-similarity of something that exists on a different level of complexity, namely heaven. ........"

Visual evidence- the electron shells (above s,p,d,f) above nest platonically..

below- note the NUCLEAR HADRONS (proton + neutrons) are ALSO platonically arranged.( see Moon / Univ Chicago pic, 21st Century Magazine).

Dan Winter challenges physics to 1. quantify this obvious SELF SIMILARITY between electrons charge symmetry vs. nucleus charge symmetry,

and 2. show that in fact there can be ANY other reason for this SELF SIMILARITY (between electron shells vs nucleus) if not to CAUSE the gravity which holds atoms together! (constructive charge collapse= charge implosion >where charge compression becomes the charge acceleration which DEFINES gravity?)

-

Golden Physics .. How exciting can it get:

By way of review- from goldenmean.info/creation (pictorial) - THE ONLY REASON ATOMS (Like Planetary Magnetospheres) HAVE AND MAKE GRAVITY IS TO THE EXTENT THEIR INSIDE (NUCLEUS) IS FRACTAL / SELF-SIMILAR (golden ratio) TO THEIR OUTSIDE (ELECTRON SHELLS)!

This enables the non-destructive charge collapse- which defines stable gravity.

So- it is exciting to see physics slowly catching on:

"...the energy of atomic hydrogen is actually equivalent to the energy of the simplest atomic condenser with the Golden mean capacity"

( Remember the golden ratio fractality of hydrogen is the centerpiece of solar fusion, and the absolute center bond of the DNA's zipper / ensoulment)

(Compare this work on Hydrogen - to Randy Masters years of work plumbing the Golden Ratio in the Balmer emission lines of Hydrogen.):

The Golden ratio, ionic and atomic radii and bond lengths Author: Raji Heyrovska a

Affiliation:   a J. Heyrovsky Institute of Physical Chemistry, Academy of Sciences of the Czech Republic, Prague, Czech Republic
DOI: 10.1080/00268970412331333591 Publication Frequency: 24 issues per year Published in: journal Molecular Physics, Volume 103, Issue 6 - 8 March 2005 , pages 877 - 882 Subjects: Atomic & Nuclear Physics; Chemical Physics; Group Theory; Mathematical Physics; Physical Chemistry; Quantum Mechanics; Theoretical Physics; Thermodynamics & Kinetic Theory; Number of References: 16 Formats available: HTML (English) : PDF (English)
Abstract This work arose from the author's finding that the ratio of the radius of hydrogen, estimated recently (C.H. Suresh, N. Koga, J. Phys. Chem. A, 105, 5940 (2001)) by density functional methods, to the ground state Bohr radius is the Golden ratio, which operates in a variety of natural phenomena. It is found that the Golden ratio indeed plays a quantitative role in atomic physics. The interesting results are (1) that it arises in atomic dimensions due to the electrostatic forces between negative and positive charges; (2) that the energy of atomic hydrogen is actually equivalent to the energy of the simplest atomic condenser with the Golden mean capacity; (3) that the origin of two terms in the Rydberg equation for absorption and emission is in fact in the ground state term; (4) that all atoms can be assigned definite values of cationic and anionic radii based on the Golden ratio and covalent radii; (5) that these radii are additive and explain quantitatively bond lengths like those of alkali halides, of hydrides of many elements and of many other bonds, whether covalent or ionic or both; and (6) that the work functions of alkali metals can be evaluated using the bond lengths.

--

We also reprint here for your convenience- from: http://www.secamlocal.ex.ac.uk/people/staff/mrwatkin/zeta/goldenmean.htm


The 'Golden Mean' in number theory

Planat, et. al. have subjected certain arithmetic functions to a type of analysis appropriate to signal processing and discovered a type of power law in the frequency spectrum possibly involving the Golden mean


C. Castro, "Fractal strings as the basis of Cantorian-Fractal spacetime and the fine structure constant"

[abstract:] "Beginning with the most general fractal strings/sprays construction recently expounded in the book by Lapidus and Frankenhuysen, it is shown how the complexified extension of El Naschie's Cantorian-Fractal spacetime model belongs to a very special class of families of fractal strings/sprays whose scaling ratios are given by suitable pinary (pinary, p prime) powers of the Golden Mean. We then proceed to show why the logarithmic periodicity laws in Nature are direct physical consequences of the complex dimensions associated with these fractal strings/sprays. We proceed with a discussion on quasi-crystals with p-adic internal symmetries, von Neumann's Continuous Geometry, the role of wild topology in fractal strings/sprays, the Banach-Tarski paradox, tesselations of the hyperbolic plane, quark confinement and the Mersenne-prime hierarchy of bit-string physics in determining the fundamental physical constants in Nature."

Castro's observation possibly linking the 'Golden String' to a function central to the behaviour of certain eigenvalues in random matrix theory (which in turn appears to be deeply linked to the behaviour of the nontrivial zeros of the Riemann zeta function).


P. Cvitanovic, "Circle Maps: Irrationally Winding" from Number Theory and Physics, eds. C. Itzykson, et. al. (Springer, 1992)

"We shall start by briefly summarizing the results of the 'local' renormalization theory for transitions from quasiperiodicity to chaos. In experimental tests of this theory one adjusts the external frequency to make the frequency ratio as far as possible from being mode-locked. this is most readily attained by tuning the ratio to the 'golden mean' (51/2 - 1)/2. The choice of the golden mean is dictated by number theory: the golden mean is the irrational number for which it is hardest to give good rational approximants. As experimental measurements have limited accuracy, physicists usually do not expect that such number-theoretic subtleties as how irrational a number is should be of any physical interest. However, in the dynamical systems theory to chaos the starting point is the enumeration of asymptotic motions of a dynamical system, and through this enumeration number theory enters and comes to play a central role."



B.W. Ninham and S. Lidin, "Some remarks on quasi-crystal structure", Acta Crystallographica A 48 (1992) 640-650

[abstract:] "The Fourier transform of skeleton delta function that characterizes the most striking features of experimental quasi-crystal diffraction patterns is evaluated. The result plays a role analogous to the Poisson summation formula for periodic delta functions that underlie classical crystallography. The real-space distribution can be interpreted in terms of a backbone comprising a system of intersecting equiangular spirals into which are inscribed (self-similar) gnomons of isoceles triangles with length-to-base ratio the golden mean...In addition to the vertices of these triangles, there is an infinite number of other points that may tile space in two or three dimensions. Other mathematical formulae of relevance are briefly discussed."

[from concluding remarks:] "Perhaps the most interesting feature is that our Fourier-transform sum seems to have much in common with the distribution of the zeros of the Riemann zeta function...! That indicates something of the depth of the problem. That the zeta function ought to come into the scheme of things somehow is not surprising - the Poisson and related summation formulae are special cases of the Jacobi theta function. [Indeed the Bravais lattices can be enumerated systematically through an integral over all possible products and sums of products of any three of the four theta functions in different combinations that automatically preserve translational and rotational symmetries.] The theta-function transformations are themselves just another way of writing the [functional equation of the zeta function]. Additionally, the properties of the zeta function are automatically connected to the theory of prime numbers. So one expects that the Rogers-Ramanujan relations must play a central role in the scheme of things for quasi-crystals."


V. Dimitrov, T. Cooklev and B. Donevsky, "Number theoretic transforms over the golden section quadratic field.", IEEE Trans. Sig. Proc. 43 (1995) 1790-1797

V. Dimitrov,G. Jullien, and W. Miller, "A residue number system implementation of real orthogonal transforms", IEEE Trans. Sig. Proc. 46 (1998) 563-570.


M.L. Lapidus and M. van Frankenhuysen, "A prime orbit theorem for self-similar flows and Diophantine approximation", Contemporary Mathematics volume 290 (AMS 2001) 113-138.

"EXAMPLE 2.23 (The Golden flow). We consider the nonlattice flow GF with weights w1 = log 2 and w2 = \phi log2, where \phi = (1 + 51/2)/2 is the golden ratio. We call this flow the golden flow. Its dynamical zeta function is

\zetaGF(s) = 1/(1 - 2-s - 2-\phis)"


C. Bonanno and M.S. Mega, "Toward a dynamical model for prime numbers" Chaos, Solitons and Fractals 20 (2004) 107-118

[abstract:] "We show one possible dynamical approach to the study of the distribution of prime numbers. Our approach is based on two complexity methods, the Computable Information Content and the Entropy Information Gain, looking for analogies between the prime numbers and intermittency."

The main idea here is that the Manneville map Tz exhibits a phase transition at z = 2, at which point the mean Algorithmic Information Content of the associated symbolic dynamics is n/log n. n is a kind of iteration number. For this to work, the domain of Tz [0,1] must be partitioned as [0,0.618...] U [0.618...,1] where 1.618... is the golden mean.

The authors attempt to exploit the resemblance to the approximating function in the Prime Number Theorem, and in some sense model the distribution of primes in dynamical terms, i.e. relate the prime number series (as a binary string) to the orbits of the Manneville map T2. Certain refinements of this are then explored.


The Phyllotaxis project's notes on the Farey Tree and the Golden Mean


Selvam's attempts to link the Riemann zeta funcion to fluid flow, atmospheric turbulence, etc. (the Golden Mean appearing as a winding number)


I have discovered a particularly simple Beurling generalised-prime configuration wherein the associated zeta function has a 'fixed point' at the Golden Ratio (i.e. zeta(1.618...) = 1.618...   Notes will be added here in due course.


J. Dudon, "The golden scale", Pitch I/2 (1987) 1-7.

"The Golden scale is a unique unequal temperament based on the Golden number. The equal temperaments most used, 5, 7, 12, 19, 31, 50, etc. are crystallizations through the numbers of the Fibonacci series, of the same universal Golden scale, based on a geometry of intervals related in Golden proportion. The author provides the ratios and dimensions of its intervals and explains the specific intonation interest of such a cycle of Golden fifths, unfolding into microtonal coincidences with the first five significant prime numbers ratio intervals (3:5:7:11:13)." [Note that here the Fibonacci sequence mentioned differs slightly from, but is closely related to, the usual one.]


In their paper "The golden mean as clock cycle of brain waves" (Chaos, Solitons and Fractals 18 No. 4 (2003) 643-652, Harald and Volkmar Weiss acknowledge this website as one of several "...without which our work would be impossible", and in a subsequent email, Volkmar Weiss wrote "Your site was very helpful to us in an extraordinary way."

Although the article has no explicit number theoretical content, it relates closely to quite a few different areas of research which are relevant to this archive.

[abstract:] "The principle of information coding by the brain seems to be based on the golden mean. Since decades psychologists have claimed memory span to be the missing link between psychometric intelligence and cognition. By applying Bose-Einstein-statistics to learning experiments, Pascual-Leone obtained a fit between predicted and tested span. Multiplying span by mental speed (bits processed per unit time) and using the entropy formula for bosons, we obtain the same result. If we understand span as the quantum number n of a harmonic oscillator, we obtain this result from the EEG. The metric of brain waves can always be understood as a superposition of n harmonics times $2\Phi$, where half of the fundamental is the golden mean $\Phi$ (= 1.618) as the point of resonance. Such wave packets scaled in powers of the golden mean have to be understood as numbers with directions, where bifurcations occur at the edge of chaos, i.e. $2\Phi = 3 + \phi^3$. Similarities with El Naschie?s theory for high energy particle?s physics are also discussed."

 


further on this- plumbing the physics of Golden Mean... :

goldenmean.info/goldenphysicsvindicated

goldenmean.info/goldenphysics

goldenmean.info/predictions

goldenmean.info/budapest08/physicsoverview.html

--

Finally - we reprint here from

goldenmean.info/newscientistfractalsolutions

Physics SOLUTIONS based on fractality- from Dan Winter..

New Scientist- Published Article Comment from Dan Winter:
HOW Fractality Causes Gravity& Life Force: PHASE CONJUGATION ( and review of links)
Exerpt from new New Scientist Magazine Article: Can Fractals Make Sense of the Quantum World?
http://www.newscientist.com/article/mg20127011.600-can-fractals-make-sense-of-the-quantum-world.html?full=true

(at this moment- near the final published comment - on New Scientist web site- from Implosion Group- reads:)

Fractality:Electrical Mechanism Of Gravity-paper 2006

Wed Apr 01 08:04:43 BST 2009 by Implosion Group

To be clear, the paper:

"Is Fractality: The Electrical Mechanism of Gravity"

by Dan Winter
-

www.goldenmean.info/budapest08/physicsoverview.html

from the proceedings Budapest 2006 Unified Field Theories Conference

predates El Nashie's wonderful: 'golden quantum field theory' quote:

"fractalization is the origin of gravity'

--and Andre Linde:" The Fractal nature of space may actually be the cause of gravity"

--

How Fractality Causes Gravity&life Force:phase Conjugation

Tue Mar 31 09:05:03 BST 2009 by dan winter

more depth: (from both international conferences on unified field physics of budapest)

http://www.goldenmean.info/budapest08/physicsoverview.html

fractality is perfected in golden ratio - which is key to phase conjugation (recursive constructive wave interference / constructive self re-entry)

this fractality is the electric cause of gravity because phase velocity heterodynes phase conjugate constructively by golden ratio

-this is the cause of gravity because charge compression turns in to acceleration,

(see links to el nashie - on fractality mechanism of gravity - called golden quantum field theory-
behind E8 - garrett lisi)

this is the cause of life force and perception because phase conjugates are known to self organize and self locate

(known for optics, new for dielectrics, and now we have begun to illustrate this also in phase conjugate magnetics)
dan winter
http://www.goldenmean.info

--below we reprint for your convenience - FRACTALITY highlights from goldenmean.info:

Golden ratio perfected- fractality - or phase conjugation creates the CHARGE IMPLOSION - which is behind ALL centripedal and self organizing universal forces- especially including:

*gravity goldenmean.info/budapest08/physicsoverview.html

*life force ( goldenmean.info/biophoton

*origin of color ( goldenmean.info/fractalcolor

*perception and consciousness ( goldenmean.info/budapest08

*bliss / peak experience / ecstasy ( goldenmean.info/clinicalintro , goldenmean.info/matrix

*DNA's electric and immortalizing purpose and destiny ( goldenmean.info/dnamanifesto

*origin of alphabet and symbol ( goldenmean.info/dnaring , spirals.eternite.com )

--Fractal Field- a COMPLETE FRACTAL COSMOLOGY: goldenmean.info/completefractalcosmology

PHASE CONJUGATION (fractal optimized) as the wave mechanism in principle of PERCEPTION: goldenmean.info/perception

Fractal / non-destructive (golden ratio optimized / implosive) CHARGE COMPRESSION is the essential symmetry and CAUSE of all: 1. mass creation, 2. gravity, 3. biology, 4. healing, 5. self organization from chaos, 6. symbol making, 7. consciousness, and 8. all BLISS / PEAK EXPERIENCE / ENLIGHTENMENT.
Since all biologic growth is limited by ability to absorb energy it is self evident the best way to compress that in to nourish biology is FRACTAL! - Since fractality is the perfect geometry for compression, it is therefore the perfect geometry of distribution - AND the RADIANCE of charge efficiency which defines all of life.

The FRACTAL FIELD - Revolutionary Research Frontier - with Radically Powerful Solutions to Virtually ALL Major Global Issues..
"A new scientific truth does not triumph by convincing its opponents and making them see the light, but rather because its opponents eventually die, and a new generation grows up that is familiar with it."--Max Planck, German Theoretical Physicist

1. Peacemaking: How The FRACTAL FIELD Can Make Teaching PEACE Into a New and Powerful SCIENCE - more: goldenmean.info/peaceuniversity

2. Agriculture: How the FRACTAL FIELD Can Revolutionize Farming by creating Phase Conjugate Environment which properly allow DNA to Communicate and Thrive electrically - more: goldenmean.info/germination , and goldenmean.info/phaseconjugation Be smart:food storage in a refridgerator is NOT fractal goldenmean.info/fractalfridge

3. Architecture: How the FRACTAL FIELD Can ReInvent Architecture now that the Principle of Building a BIOLOGIC CAPACITOR Allows us to Create Structure to Truly Create Healing and Bliss in Biology - more: goldenmean.info/architecture

4. Genetics: How the FRACTAL FIELD Can ReDefine Success in Genetic Research / and Engineering - based on ReDefining DNA COHERENCE, and DNA 'Radio', and DNA Ability to Absorb and Radiate the Electric Field of LIFE! - more: goldenmean.info/decode , and goldenmean.info/12strands , goldenmean.info/phaseconjugation

5. Psychology of BLISS / Ecstasy and PEAK EXPERIENCE: How the FRACTAL FIELD Allows Us Now to Define, Measure and most of all TEACH - Peak Experience , Bliss, Ecstasy - True Enlightenment - more: goldenmean.info/clinicalintro

6. Urban Design: How the FRACTAL FIELD Allows us to Re-Invent URBAN DESIGN Based on Fractal Charge Compression- to Attract People, Money, Charge and LIFE FORCE Back into Urban Design- more: goldenmean.info/lightcity , goldenmean.info/rosycross

7. Weather / Climate / Rainmaking: How the FRACTAL FIELD Allows us to Attract Rain - and Regulate Precipitation - more: goldenmean.info/rain , and The Yantra Pics at goldenmean.info/callingallangels

8. Energy: How the FRACTAL FIELD Can Allow Us to PROPERLY Use Charge Self-Similarity to COHERE and Couple the Gravity Field for Electric Charge - WITHOUT Destabilizing the Earth Grid - more : goldenmean.info/gravitycause , goldenmean.info/notfree

How the (Phi) FRACTAL FIELD provides radical new solutions to GLOBAL WARMING: goldenmean.info/warming , and WHEN COLD FUSION gets COLD: goldenmean.info/fusion

9. Another example of FRACTAL FIELD - self similar charge field -revolutionizing medicine..- note how Negative Ion Wind (a fractal field) radically sweeps infection and parasites from the body ( see: ref 1) -perfectly consistent with using fractality to measure ANY liquid's ability to support life ( ReDox Potential measure at goldenmean.info/healingphase ) and - measuring fractality in Air to find and measure life's electric signature ( see IGA at phaseconjugation link). + Fractal Field is Electrical Engineering Instructions for SUCCESSFUL DEATH! - goldenmean.info/death

10.-FRACTALITY in the HEART-solution to EKG+ virtually ALL disease resistance: goldenmean.info/holarchy , goldenmean.info/heartmathmistake

11.-FRACTALITY in TIME (time=measurement of charge rotation) -charge systems emerge from chaos only this way-fractality (how to generate synchronicity): goldenmean.info/TIMESTAR , goldenmean.info/timewave- Just as Bruce Cathie showed nuclear critical mass varied with grid position, in space AND time - fractality (constructive charge compression) is the OBVIOUS principle- so capacitors properly arranged in a golden spiral firing in TIME - WILL reduce critical mass! (sorry CIA - the principle of FRACTALITY {fear's opposite} is PUBLIC information).

12.-Fractality in the CELL: Bruce Lipton -of "Membrane Mediated Biology"+ "What the Bleep"- discusses how the cell membrane gets infinite surface area, infinite foldedness- (DW adds Harmonic Inclusive by Golden Ratio) and therefore potentially infinite information by getting FRACTAL- in his latest paper/book:"FRACTAL EVOLUTION:

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New ScientistPhysics & Math
Can fractals make sense of the quantum world?

QUANTUM theory just seems too weird to believe. Particles can be in more than one place at a time. They don't exist until you measure them. Spookier still, they can even stay in touch when they are separated by great distances.

Einstein thought this was all a bit much, believing it to be evidence of major problems with the theory, as many critics still suspect today. Quantum enthusiasts point to the theory's extraordinary success in explaining the behaviour of atoms, electrons and other quantum systems. They insist we have to accept the theory as it is, however strange it may seem.

But what if there were a way to reconcile these two opposing views, by showing how quantum theory might emerge from a deeper level of non-weird physics?

If you listen to physicist Tim Palmer, it begins to sound plausible. What has been missing, he argues, are some key ideas from an area of science that most quantum physicists have ignored: the science of fractals, those intricate patterns found in everything from fractured surfaces to oceanic flows (see What is a fractal?).

Take the mathematics of fractals into account, says Palmer, and the long-standing puzzles of quantum theory may be much easier to understand. They might even dissolve away.

It is an argument that is drawing attention from physicists around the world. "His approach is very interesting and refreshingly different," says physicist Robert Spekkens of the Perimeter Institute for Theoretical Physics in Waterloo, Canada. "He's not just trying to reinterpret the usual quantum formalism, but actually to derive it from something deeper."

That Palmer is making this argument may seem a little odd, given that he is a climate scientist working at the European Centre for Medium-Range Weather Forecasting in Reading, UK. It makes more sense when you learn that Palmer studied general relativity at the University of Oxford, working under the same PhD adviser as Stephen Hawking.

So while Palmer has spent the last 20 years establishing a reputation as a leading mathematical climatologist, he has also continued to explore the mysteries of his first interest, quantum theory (see "Quantum ambitions").

"It has taken 20 years of thinking," says Palmer, "but I do think that most of the paradoxes of quantum theory may well have a simple and comprehensible resolution."

Arguments over quantum theory have raged since the 1920s, starting with a series of famous exchanges between Einstein and the Danish physicist Niels Bohr.

Bohr and his supporters believed that the theory's successful description of atoms and radiation meant you should abandon old philosophical concepts, such as the idea that objects have definite properties even when no one is there to measure them.

Einstein and his followers countered that such radicalism was wildly premature. They argued that much of the quantum weirdness was nothing more than a lack of adequate knowledge. Find a quantum system's "hidden variables", Einstein suspected, and quantum theory might make common sense, a view that quantum enthusiasts thought was ultra conservative and out of touch. The argument rages to this day.

Fractals unite

Palmer believes his work shows it is possible that Einstein and Bohr may have been emphasising different aspects of the same subtle physics. "My hypothesis is motivated by two concepts that wouldn't have been known to the founding fathers of quantum theory," he says: black holes and fractals.

Palmer's ideas begin with gravity. The force that makes apples fall and holds planets in their orbit is also the only fundamental physical process capable of destroying information. It works like this: the hot gas and plasma making up a star contain an enormous amount of information locked in the atomic states of a huge number of particles. If the star collapses under its own gravity to form a black hole, most of the atoms are sucked in, resulting in almost all of that detailed information vanishing. Instead, the black hole can be described completely using just three quantities - its mass, angular momentum and electric charge.

Many physicists accept this view, but Palmer thinks they haven't pursued its implications far enough. As a system loses information, the number of states you need to describe it diminishes. Wait long enough and you will find that the system reaches a point where no more states can be lost. In mathematical terms, this special subset of states is known as an invariant set. Once a state lies in this subset, it stays in it forever.

A simple way of thinking about it is to imagine a swinging pendulum that slows down due to friction before eventually coming to a complete standstill. Here the invariant set is the one that describes the pendulum at rest.

Because black holes destroy information, Palmer suggests that the universe has an invariant set too, though it is far more complicated than the pendulum.

Complex systems are affected by chaos, which means that their behaviour can be influenced greatly by tiny changes. According to mathematics, the invariant set of a chaotic system is a fractal.

Fractal invariant sets have unusual geometric properties. If you plotted one on a map it would trace out the same intricate structure as a coastline. Zoom in on it and you would find more and more detail, with the patterns looking similar to the original unzoomed image.

Gravity and mathematics alone, Palmer suggests, imply that the invariant set of the universe should have a similarly intricate structure, and that the universe is trapped forever in this subset of all possible states. This might help to explain why the universe at the quantum level seems so bizarre.

For example, it may point to a natural explanation for one of the biggest puzzles of quantum physics, what physicists refer to as its "contextuality". Quantum theory seems to insist that particles do not have any properties before they are measured. Instead, the very act of measurement brings their properties into being. Or, put another way, quantum systems have meaning only in the context of the particular experiments performed on them.

Ever since Einstein, many physicists have hoped that a new approach might go beyond quantum theory and find a way to restore belief in objective and independent properties. But in 1967, mathematicians Simon Kochen and Ernst Specker published a theorem showing that this dream, if possible, cannot be done in quite the way physicists would like.

Central to Kochen and Specker's theorem is a thought experiment. Say you choose to measure different properties of a quantum system, such as the position or velocity of a quantum particle. Each time you do so, you will find that your measurements agree with the predictions of quantum theory. Kochen and Specker showed that it is impossible to conceive a hypothesis that can make the same successful predictions as quantum theory if the particles have pre-existing properties, as would be the case in classical physics.

This result has driven many physicists to reach a startling conclusion about how to interpret quantum theory. Either you have to abandon the existence of any kind of objective reality, instead believing that objects have no properties until they are measured, or you have to accept that distant parts of the universe share a spooky connection that allows them to share information even when the distance and timing means that no signal could have passed between them without travelling faster than light.

Palmer's idea suggests a third possibility - that the kinds of experiments considered by Kochen and Specker are simply impossible to get answers from and hence irrelevant.

The key is the invariant set. According to Palmer's hypothesis, the invariant set contains all the physically realistic states of the universe. So any state that isn't part of the invariant set cannot physically exist.

Suppose you perform the Kochen-Specker thought experiment and measure the position of an electron. Then you ask what you would have found if you repeated the experiment, only this time measuring the electron's velocity instead.

According to Palmer, when you repeat the experiment you are testing a hypothetical universe that is identical to the real one except that the position-measuring equipment is replaced with velocity-measuring equipment.

This is where the fractal nature of the invariant set matters. Consider a place of interest you want to visit along a coastline. If you get the coordinates even slightly wrong you could end up in the sea rather than where you want to be. In the same way, if the hypothetical universe does not lie on the fractal, then that universe is not in the invariant set and so it cannot physically exist.

Due to the spare and wispy nature of fractals, even subtle changes in the hypothetical universes could cause them to fall outside the invariant set. In this way, Spekkens says, Palmer's hypothesis may help to make some sense of quantum contextuality.

"I think his approach is really interesting and novel," says Spekkens. "Other physicists have shown how you can find a way out of the Kochen-Specker problem, but this work actually provides a mechanism to explain the theorem."

Following on from this, Palmer believes that many other features of quantum theory also fall into place. For example, quantum theory is famous for making only statistical predictions - it can only tell you the probability of finding an electron with its quantum-mechanical spin pointing up.

This arises naturally, suggests Palmer, because quantum theory is blind to the intricate fractal structure of the invariant set. Just as our eyes cannot discern the smallest details in fractal patterns, quantum theory only sees "coarse grain approximations", as if it is looking through fuzzy spectacles.

Other physicists seem inspired by the novelty of Palmer's approach. "What makes this really interesting is that it gets away from the usual debates over multiple universes and hidden variables and so on," says Bob Coecke, a physicist at the University of Oxford. "It suggests there might be an underlying physical geometry that physics has just missed, which is radical and very positive."

Coecke points out that very few scientists working on fundamental physics have explored how fractals might be incorporated into the theory, even though they are commonplace in other parts of physics.

Palmer is hoping that will change. In a paper submitted to the journal Proceedings of the Royal Society A, he shows how the basic idea can account for quantum uncertainty, contextuality and other quantum puzzles (www.arxiv.org/abs/0812.1148).

Many details still need to be fleshed out, says Coecke. "Palmer manages to explain some quantum phenomena," he says, "but he hasn't yet derived the whole rigid structure of the theory. This is really necessary."

Palmer accepts the criticism and is hopeful that he will be able to improve his theory over time. In the best of worlds, he thinks his framework may provide a way to finally reunite the warring parties of Einstein's and Bohr's followers.

After all, the theory backs Einstein's view that quantum theory really is incomplete. It is, Palmer says, blind to the fractal structure of the invariant set. If it wasn't, it would see that the world is not only deterministic, but it never exhibits any spooky effects.

On the other hand, it also agrees with the view of Bohr and his followers: the properties of individual quantum systems are not independent of the entire world, especially the experiments we humans use to explore them. We are stuck with the disturbing fact that how we measure always influences what we find.

For now, quantum theory remains mysterious but its air of mystique may not last forever.

Quantum ambitions

When Tim Palmer finished his PhD in physics at the University of Oxford 30 years ago, he had the opportunity to work as a postdoc with Stephen Hawking at the University of Cambridge. The hot topic in theoretical physics back then was supergravity, a theory that aimed to include gravity in a universe with 11 dimensions.

Despite Hawking's enthusiasm for the idea, Palmer remained lukewarm. Supergravity takes quantum theory as an unquestioned starting point and then tries to bring gravity within its fold, an approach Palmer found unappealing.

"I felt that quantum theory was at best a provisional theory," Palmer recalls.

Instead, he switched to climate science where he rapidly established an international reputation. Today Palmer is known for pioneering a method called ensemble forecasting, which incorporates the role of chaos to create climate forecasts that include specific estimates of their own accuracy. But even as Palmer's work became widely influential - so much so that he has taken a key role on the Intergovernmental Panel on Climate Change - he could never forget the quantum puzzles that so occupied him before.

What is a fractal?

Fractals are geometrical shapes that aren't smooth like circles or rectangles. They are irregular structures with the same structure repeating on ever finer scales. No matter how much you blow up a picture of a fractal, it will always look the same.

The natural world contains many examples of fractals, including ferns, broccoli, river networks, blood vessels and coastlines.

Mark Buchanan is a writer based in Cambridge, UKFractals like this one exhibited by the Romanesco cauliflower could help explain the wackiness of quantum theory (Image: fishmonk / stock.xchng)

Fractals like this one exhibited by the Romanesco cauliflower could help explain the wackiness of quantum theory (Image: fishmonk / stock.xchng)

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Amazing in a way that scientists like Guy Obololensky (pic / link below-) (Hi Guy- thanks for selling me your polygraph 30 years ago, and showing me your scope to measure faster than light signals)... realize that.. cascading frequency heterodyning is key to the scalar and superluminal..

<Guy Obolensky
(compare to Golden Mean caducceus)

yet fail to see the real power of PHASE CONJUGATION (recursive phase velocity heterodyning) optimized by GOLDEN RATIO (caducceus). THIS is the principle of gravity and life generation, mitogenic radiation, optical phase conjugation, DNA radio.. and 'getting a soul'. The science of soul HAS to begin with the electric field of DNA generating phase conjugation. Reference goldenmean.info/phaseconjugation , and goldenmean.info/fractalfield . DNA scientist Crick has written about ' Science of Soul' .. needs to be informed about phase conjugate optics. The optical frequencies of cellular mitogentic radiation have been measured. altcancer.com/mitogen.htm
Thanks to Bill Nelson for the suggestion.

Above, from Carolan's "Spiral Calendar" book, note how the stock market as a 'chaotic oscillator' moves from chaos to the predictable, predictably at the moment when the volume harmonics enter golden mean ratio - Prechter / Elliott Wave - Here is the principle: onset compression / implosion = onset self-organization, - more at goldenmean.info/stockmkt/stockmkt.html