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- Thread starter Halcyon-on
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- #1

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- #2

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is the right place where to discuss the issue.

- #3

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The action of a free scalar field defined in a time interval T allows

periodic solutions with periodicity T. The frequency of the free periodic fields fixes the energy of the quanta as usual.

The periodicity introduces a non-locality in

the theory which however has no hidden variables. Similarly to the KK theory

where there is a quantization of the mass spectrum, here there is a

quantization of the energy spectrum which depends on the inverse of the

period through the Planck constant. The dispersion relation of the

quantized spectrum is the correct one also for massive scalar fields

since the proper time acts like a "virtual extra dimension". This

implies that the periodicity varies with the energy through Lorentz

transformations or interactions so that special relativity and

causality hold.

Periodic fields are stationary waves and they trivially give rise to

Hilbert space.

the Schrodinger equation follows as the "square root" of the KG equation and in the

Hilbert space the time evolution operator is Markovian. From these

results already contained in the theory, it is immediate to derive the Feynman path integral, which is interpreted as a sum over all the periodic paths, as well as

Commutation relations and Uncertainty relations. These important links

to QM are derived in par.2 and par.3 which are the core of the paper.

As a consequence of the quantization of the energy spectrum the massless periodic fields avoid the UV catastrophe of the black body radiation whereas the

non-relativistic free particle and the double slit experiment emerge as

a consequence of the fact that in the non relativistic limit only the

first harmonic of the energy spectrum is relevant. The Quantum Harmonic

Oscillator is exactly solved due to the analogy with the

Bohr-Sommerfeld condition. An attempt to solve the interaction case

is done by describing periodic fields in a AdS metric, the result is similar to the AdS/CFT correspondence. In fact, as classical fields with periodic BCs in Minkowski metric should correspond to quantized free fields, periodic fields in a deformed metric should describe the quantization of interacting fields. The AdS/QCD correspondence comes from the fact that in the Bjorken model for quark-gluon plasma this deformation is exponential, giving a virtual warped metric.

- #4

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As proved in arXiv:0903.3680 the assumption of periodicity as a fundamental principle yields the remarkable possibility of a coherent and deterministic view of SR and QM.

- #5

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is the right place where to discuss the issue.

Other than the BTSM and High Energy forums, practically all of the sources used in the other physics forums should either be established physics sources or peer-reviewed publications (there are exceptions). As far as I can tell, the manuscript you are citing is still not published.

I suggest we wait for a few months, and when it is published, we can go back to it.

Zz.

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Title: Clockwork Quantum Universe

Essay Abstract: Besides the purely digital or analog interpretations of reality there is a third possible description which incorporates important aspects of both. This is the cyclic interpretation of reality. In this scenario every elementary system is described by classical fields embedded in cyclic space-time dimensions. We will address these cyclic fields as "de Broglie internal clocks". They constitute the deterministic gears of a consistent deterministic description of quantum relativistic physics, providing in addiction an appealing formulation of the notion of time.

http://fqxi.org/community/forum/topic/901

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