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An Explanation of the Sagnac Effect Based on the Special Theory of Relativity, the de Broglie/Bohm Interpretation of Quantum Mechanics, and a Non-Zero Rest Mass for the Photon

Patrick E. Fleming

Published Jan 1, 1998• 0 citations
OpenAlex

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In this work, we both review and apply the formalism of Bohm-de Broglie interpretation of quantum mechanics to study two cosmological theories which modify Einstein’s general relativity through the introduction of a scalar field: the minimal and the non-minimal derivative couplings. We address some issues related to the quantization process in those theories, namely the ordering ambiguity and the problem of the quantization of Hamiltonians with non-integer powers in the momenta, in which case we apply a fractional derivative technique. We discuss how the Bohm-de Broglie interpretation provides us physical criteria to analyse the obtained results, specially with respect to the search for nonsingular solutions. With the help of those criteria, we discuss how the applied techniques are able to provide answers to the singularity problem, through bounces and cyclic universes.

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More than a century ago, M. Sagnac realized an experiment with light rays, whose results according to him invalidated the theory of Relativity and validated the hypothesis of the Aether. This hypothesis of the ether was not retained by the scientific community, and relativistic explanations were given to the results of the Sagnac experiment. But these relativistic explanations remain open to criticism because they are various and because the prediction may differ depending on whether the observer’s frame of reference is at rest or in motion. The neo-Newtonian mechanics proposes a new explanation which leads to demonstrate the formula with P the light path. In order to verify this new interpretation, it is proposed to do again the Sagnac experiment with a slightly different light path, a square-shaped path. The results should be at least 30% lower than those predicted by the theory of Relativity. In which case, the relativistic explanation would be questioned.

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Matter-light duality and speed greater than light

Shalender Singh, Vishnu Priya Singh Parmar

In this paper we demonstrate duality between matter and light. Through mathematical derivation we show that every fundamental matter particle with non-zero rest mass can be represented by a pair of photons. The photons in the representation are not normal photons but a special kind of continuously generating and annihilating virtual photons, whose wave functions super impose to give the wave function of the non-zero rest mass particle and the representation is in agreement with the spin of the particle. We use this duality to derive De Broglie wavelength. We show that a moving matter wave has two frequency components, one of it is with De-Broglie wavelength h/P and the other one is with wavelength hc/E. We also correct the De-Broglie wavelength for v = 0 where we show that there is only one frequency component for v = 0 with wavelength hc/E. Later in the paper we derive that every photon can be represented by a non-zero rest mass particle pair, one going below the speed of light and the other going above the speed of light.

•Jan 1, 2013•1 citation
In this work, we both review and apply the formalism of Bohm-de Broglie interpretation of quantum mechanics to study two cosmological theories which modify Einstein’s general relativity through the introduction of a scalar field: the minimal and the non-minimal derivative couplings. We address some issues related to the quantization process in those theories, namely the ordering ambiguity and the problem of the quantization of Hamiltonians with non-integer powers in the momenta, in which case we apply a fractional derivative technique. We discuss how the Bohm-de Broglie interpretation provides us physical criteria to analyse the obtained results, specially with respect to the search for nonsingular solutions. With the help of those criteria, we discuss how the applied techniques are able to provide answers to the singularity problem, through bounces and cyclic universes.
More than a century ago, M. Sagnac realized an experiment with light rays, whose results according to him invalidated the theory of Relativity and validated the hypothesis of the Aether. This hypothesis of the ether was not retained by the scientific community, and relativistic explanations were given to the results of the Sagnac experiment. But these relativistic explanations remain open to criticism because they are various and because the prediction may differ depending on whether the observer’s frame of reference is at rest or in motion. The neo-Newtonian mechanics proposes a new explanation which leads to demonstrate the formula with P the light path. In order to verify this new interpretation, it is proposed to do again the Sagnac experiment with a slightly different light path, a square-shaped path. The results should be at least 30% lower than those predicted by the theory of Relativity. In which case, the relativistic explanation would be questioned.
In this paper we demonstrate duality between matter and light. Through mathematical derivation we show that every fundamental matter particle with non-zero rest mass can be represented by a pair of photons. The photons in the representation are not normal photons but a special kind of continuously generating and annihilating virtual photons, whose wave functions super impose to give the wave function of the non-zero rest mass particle and the representation is in agreement with the spin of the particle. We use this duality to derive De Broglie wavelength. We show that a moving matter wave has two frequency components, one of it is with De-Broglie wavelength h/P and the other one is with wavelength hc/E. We also correct the De-Broglie wavelength for v = 0 where we show that there is only one frequency component for v = 0 with wavelength hc/E. Later in the paper we derive that every photon can be represented by a non-zero rest mass particle pair, one going below the speed of light and the other going above the speed of light.