Dear Armin,

tank you very much for your comment, but I was not particularly surprised about this comment.

Actually, I've already read that paper (i.e. topic 329). It caught my attention because you have explicitly made a reference to Epstein's book: Relativity Visualized, Insight Press, 1997.

As you know Epstein described the Postulate of the Constancy of Light in a specific geometrical way - as a (quarter) circle being parametrized by c = 1.

If you interprete this (quarter) circle concsciously as the geometrical blueprint of the wave-like face of c, as I called it, then the question naturally arises: How does the geometrical blueprint of the particle-like face of c look like?

My answer: It looks like a SQUARE, which is also parametrized by c = 1.

That's the formal or principal content of the Dual Parametrization of c.

When Epstein discussed the Galilean Principle of Relativity in terms of his visual approach he should already touch this blueprint of the square, but he did not recognize it as physically meaningful blueprint. (see: pp. 64, 65 ) Instead of that, he excluded it, because it contradicted special relativity, especially the Lorentz-Transformation.

But there is no contradiction: If we assume, that both blueprints the (quarter ) circle and the square are closely entangled, then their relationship to each other can be read in a lorentzinvariant way.

Interestingly the lorentzinvariant design of this entangled geometrical structure is sligthly different from the relativistic type of Lorentzinvariance. Just this subtle difference allows to test this hypothesis experimentally.

This structure is - as conceiced by me - the geometrical core of a more extended space-time-picture. Hence, the Dual Parametrization of c is not implemented in special relativity in an as yet unrecognized way as you have supposed in your comment. It is just the other way around: the relativistic space-time is somehow implemented in t-h-i-s structure. It is more complex and more extended than the relativistic space-time-picture.

My 5-pages NPA-paper "The Hidden Face of c or: The True Meaning of the Kennedy-Thorndike experiment" gives you an impression of all the stuff which I have sketched here in a few lines.

You can easily google this by: hidden face of c

Kind Regards

Helmut

P.S. I will, of course, look at your present paper.

Dear Helmut,

I read your other paper and now have a much better idea of what you refer to with the dual parameterization of light. You have noticed an interesting feature of Epstein's representation of time dilation and connected it to quantum theory using a novel interpretation of the KT experiments.

The comments in the last section were particularly intriguing. I take it that you are looking for a way to remove the UV divergences in QED that is an alternative to renormalization. If you succeed, and especially if your method can be generalized, then I think your model has a good chance of being widely accepted.

All the best,

Armin

Dear Helmut,

You write, "The wave-particle duality of light is a well-established concept of

modern physics. It postulates that light exhibits both a wave-like face and a

particle-like face. But this Janus-faced concept was never consciously applied

to the speed of light itself. If light has two faces, it would be naturally to

assume, that the speed of light has two faces as well. This assumption

which I am calling the »Dual Parametrization of c« shall be outlined."

I agree with this idea, the duality in Universe is a principle. Now how to do to make emerging this idea. I think you are in the way by principle, your questions are fair.

You can take a look to my essay, and i am sure you will find some encouragements.

http://fqxi.org/community/forum/topic/1552

Good luck

Dear Mr. Hannou,

I have indeed a very specific understanding how the Dual Parametrization of c is physically realized. It concerns exclusively the notions of space and time - and not matter, as your work does.

However, I have posted a comment on your FQXi-Site.

Thanks for visiting and commenting by essay.

I wish you good luck.

Regards

Helmut

Helmut

An inevitable consequence of DFM dynamics proves your thesis correct.

Have you read my essay yet? Recycling emerges as opposed to the big bang, which implies re-ionisation of everything, which implies a continuous cyclic process, so no absolute rest.

There can however be a first order absolute frame with each iteration, wrt which all other frames are in motion (see essay). The recycling model with evidence is here. http://vixra.org/abs/1102.0016

Peter

Dear Peter,

I am very simple minded and I am not very familiar with your way of thinking. Hence, I do not know, to which thesís are you referring.

I've already visited your site, but I do not understand what you are looking for.

That is not your fault, but my fault - at least in a certain way. I am thinking in a very visual and simple way, sometimes only guided by pure geometrical pattern recognition.

To give an example: The Dual Parametrisation of c is geometrically expressed as follows: particle-like face of c = SQUARE; wave-like face of c = CIRCLE.

These two geometrical blueprints are closely entangled, forming a sort of spacetime, that is intrinsically of Lorentzinvariant design.

This entangled structure is part of a more extended and complex geometrical structure, that is of archetypal origin, because it looks very much like a MANDALA - an ancient cosmogram, that shows, how the universe looks like from an enlightened point of view.

In other words: I am moving along a somehow spiritual path, deeply convinced, that there is a serious physical core of the spiritual knowlegde of mankind, especially of Tantric Buddhism.

Kind Regards

Helmut

Dear Helmut,

In the Metric theory of relativity we can find difference between absolute and relative speed of light. The first is measured in isotropic reference frame and equal to c in all direction (see Extended special theory of relativity). Relative speed of light is measured in any other reference frame. Its value in the last case depend on the procedure of space-time measurements. If we take such procedure when the light always return back to the point of emission then the speed of light will equal to c too. So the constance of speed of light is a convention. In measurements of speed of light in one-way experiment the value about C+V is real for the speed of light. Another assumption is that the speed of field propagation C in the particles of substance of which nucleons are consisting may be more then speed of light. The analogy here is the next: in neutron star the characteristic speed of nucleons is 6.8 x 107 m/s which is less then the speed of light. In nucleons the characteristic speed of praons is equal to the speed of light which is less then the speed C of field propagation inside the nucleons. Some of this questions are studied in my Essay.

Sergey Fedosin

Dear Sergey,

my idea of a Dual Parametrization of c is closely related to a new space-time-concept, which is geometrically composed of a square and a circle. This space-time-concepts in which square and circle are intimately entangled implies a Lorentz Symmetry, that is slightly different from the relativistic version.

As the dual parametrization of the speed of light follows resp. reflects just this space-time-concept it is not a convention. It is a direct expression of this underlying space-time-continuum.

Helmut

7 days later

Dear Helmut,

It is a well written essay on something is often overlooked by physicists. Wave-particle duality may really challenge the constancy of speed of light. This duality is strictly linked with the commutation relations and currently you can understand it purely from the mathematical aspect where the canonical commutation relations are non-vanishing. And this is also leads to the uncertainty principle. The uncertainty principle may prevent you from knowing the source speed and position with certainty, and then you cannot know with certainty the speed of light relative to the source. Therefore you would see variations on the speed of light. I wouldn't say it would be always greater than c, but that it varies and possibly that only its mean value equals c.

This is might not be exactly what you say, but is the same basic idea. Quantum mechanics my challenge not only general relativity and gravitation but also special relativity. But I think most people do not worry about it. I'm not sure about the consequences of wave-particle duality, and uncertainty principle for special relativity, but for sure it might have some consequences. Keep trying to clarify it!

Good luck for your paper!

Frederico

Dear Frederico,

the Dual Parametrization of c implies two exactly defined notions of c = 1. There is nothing like a sort of statistical resp. mean value that equals c, because the background of this dual parametrization is a well-defined spacetime that is composed of a SQUARE and a CIRCLE.

Just these well-defined geometrical structures allow to formulate spacetime in an obserser-independent way - in a relativistic as well as in a quantummechanical direction.

Thank you for your comment.

Kind Regards

Helmut

Dear Yuri,

thanks for clarifying your position.

I have a quite different view of reality. I am deeply convinced that our universe bases on a transcendent foundation (i.e. the ONE), which means, that all equations have to fail with respect to the ONE. Otherwise it could not be described of being transcendent. Transcendence is actually an ultrarestrictive condition with respect to the observable universe. It limits the way it can look like significantly.

To give an example that is directly referring to your position: The minimal and the maximal speed limit of a Universe with a transcendent foundation (!) have to be: v = 0 and v = oo. This demand is indeed logically unavoidable.

A modern metaphysics (of which I am thinking) explains how these speed limitations are physically realized. As far as the speed limitations are concerned there is a specific space-time-structure, which looks very much like a MANDALA. In this archetypal structure there are two space-time-sections; one that is limited by v = c and the other one, that is limited by v = oo. At the speed point of .707 c (or exactly: 1/SQR 2 c), which I am calling GOEDELs POINT both sections are touching each other...

In this way I am thinking about speed limits.

Good Luck for your Paper.

Helmut

    Dear Mr. Hoang Cao Hai,

    thank you very much for visiting this website. I am not sufficiently informed to say something meaningful about the HIGGS-Boson and its relationship to the standard model.

    I hope you will find somebody who can share your vision.

    All the Best for You.

    Helmut

    Hi Helmut,

    Though the speed of light c certainly is a velocity limit to massive objects, that does not mean that we can attribute light itself a (finite) velocity: in my essay I argue that it refers to a property of spacetime which is something else entirely, one result being that the findings of the double-slit experiment become self-evident.

    The essay is but a part of a more extended study (see www.quantumgravity.nl) in which I try to find out how a universe might create itself out of nothing, without any outside intervention, what kind of particles, particle properties, phenomena and laws of physics such universe might produce. As this philosophical approach is diametrically opposite to regular physics which stars from observations, it might be of interest to you.

    Regards,

    Anton

    Dear Ben,

    thank you very much for your comment.

    I am not so far away from your position as far as the parameter c is concerned.

    Actually, the underlying foundation of my concept of a Dual Nature of c is indeed a specific space-time, that is geometrically composed of a CIRCLE and a SQUARE. As these two geometrical blueprints are internally parametrized in the same way, that is, c = 1, I am speaking of a Dual Parametrization of c.

    But with respect to the origin resp. foundation of the universe there might be a difference. To me transcendence (the existence of something outside the universe) is vital part of the cosmological picture: Transcendence is indeed a highly restrictive condition, that determines essentially the structure of the universe. To give an example: to secure the invisibility resp. transcendence of the One a sort of a radical non-dual conception of the Universe is required. This specific conception implies f.e. a specific set of boundary conditions at the universe etc. That's the way I am thinking. I looks quite different than yours.

    However, I wish you good luck for your paper and for your work as well.

    Regards

    Helmut

    Dear Helmut,

    You wrote: "He [Einstein] decided for the wave-like face of c and against its particle-like face."

    Actually he decided against both. Both the wave model and the particle model of light (represented by Maxwell's electromagnetic theory and Newton's emission theory) predict that the speed of light relative to the observer varies with the speed of the observer. Special relativity says the speed of light is independent of the speed of the observer.

    Pentcho Valev

    Dear Helmut,

    I like your essay for it points out very clearly one of the erroneous concepts in physics the dual nature of light. Sometimes it looks like a particle and sometimes it looks like a wave depending upon the experiment we perform. Congratulations for one of the few who point out that the emperor has on no clothes.

    I am interested in this subject also and consider light to be a phenomena that is non continuous. If you are curious check out: www.digitalwavetheory.com, the section on the mechanics of digital waves.

    Best of Luck,

    Don Limuti

    Dear Don,

    thank you very much for your comment.

    I have visited your website with your highly interesting approach. From a philosophical point I do not agree, because I am convinced that the most fundamental level of reality (i.e. the existence of a transcendent sphere) is essentially determined by physical parameter of ZERO and INFINITY, otherwise this sphere (metaphysically called the ONE) could not be transcendent.

    That is the fundamental way I am looking at the universe: How must the Universe be organized if its ultimate foundation shall not be visible resp. observable from any point inside the Universe?

    To formulate TRANSCENDENCE in a physical meaningful sense we have thus to take into account extremal values like ZERO and INFINITY. The existence of the ONE implies f.e. specific spatial boundary conditions, like R = 0, R = oo.

    But from a physical point concerning the immanent part of reality (i.e. the observable UNIVERSE) your approach makes sense. Therefore I have made a top rating for your essay.

    Furthermore, to make a little contribution to your approach, I like to recommend deBroglie's --thermodynamics of the isolated particle-- that he had developed after 1960. It offers the possibility to conncect physics and information theory/entropy which might be an interesting piece of theory for your digitalwave-approach.

    In the book QUANTA / [by] J. Andrade e Silva and G. Lochak; translated from the French by Patrick Moore, preface by Louis de Broglie a non-technical overview of this THERMODYNAMICS OF AN ISOLATED PARTICLE is given.

    I wish you good luck for your paper and for your work.

    Kind Regards

    Helmut