Variation of the fine-structure constant caused by expansion of the Universe

Cardenas, Ivan A.; Lipovka, A. A.

doi:10.1142/s0217732319503152

Cited by 7 publications

(15 citation statements)

References 19 publications

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“…The any generalized inflation that evolves the angular momentum as described in previous section, would impact on electron spin. The electron spin 𝑆 with the value of This change rate is compatible with one of the related data was given by Shylakhter [ 35] and reviewed by Cardenas [36,37] which is reported as 4 × 10 −11 . This shows an amazing compatibility of BDM generalized inflation results and astronomical results of physical constants evolution.…”

Section: Physical Constants and Generalized Inflationsupporting

confidence: 88%

Binary Data Matrix Theory

Amiri

2022

Preprint

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In this paper after introducing a model of binary data matrix (BDM) for physical parameters of an evolving system (of particles), we develop a Hilbert space as an ambient space to derive induced metric tensor on embedded parametric manifold identified by associated joint probabilities of particles observables (parameters). Parameter manifold assumed as space-like hypersurface evolving along time axis, an approach that resembles 3+1 formalism of ADM and numerical relativity. We show the relation of endowed metric with related density matrix. Identification of system density matrix by this metric tensor, leads to the equivalence of quantum Liouville equation and metric compatibility condition ∇ k g ij =0 while covariant derivative of metric tensor has been calculated respect to Wick rotated time or spatial coordinates. After deriving a formula for expected energy per particles, we prove the equality of this expected energy with local scalar curvature of related manifold. We show the compatibility of BDM model with Hamilton-Jacobi formalism and canonical forms. On the basis of the model, I derive the Ricci flow like dynamics as the governing dynamics and subsequently derive the action of BDM model and Einstein field equations. Given examples clarify the compatibility of the results with well-known principles such as equipartition energy principle and Landauer’s principle. This model provides a background for geometrization of quantum mechanics compatible with curved manifolds and information geometry. Finally, we conclude a “bit density principle” which predicts the Planck equation, De Broglie wave particle relation, E=m c 2 , Beckenstein bound and Bremermann limit.

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Section: Physical Constants and Generalized Inflationsupporting

confidence: 88%

Binary Data Matrix Theory

Amiri

2022

Preprint

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“…The any generalized inflation that evolves the angular momentum as described in previous section, would impact on electron spin. The electron spin 𝑆𝑆 with the value of This change rate is compatible with one of the related data was given by Shylakhter [ 35] and reviewed by Cardenas [36,37] which is reported as 4 × 10 −11 . This shows an amazing compatibility of BDM generalized inflation results and astronomical results of physical constants evolution.…”

Section: Physical Constants and Generalized Inflationsupporting

confidence: 88%

“…Evidently this relation also holds for any other degree of freedoms. Like equation (36) using Wick rotation 𝑞𝑞 → 𝑙𝑙𝑖𝑖 and assuming the new parameter (e.g. 𝑥𝑥 ) instead of "time", and 𝑆𝑆 𝜕𝜕 instead of 𝐸𝐸, it is straight forward to conclude the relations for momentums:…”

Section: Canonical Formalism Of Bdm Modelmentioning

confidence: 99%

<strong>Binary Data Matrix Theory</strong>

Amiri¹

2022

Preprint

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In this paper after introducing a model of binary data matrix (BDM) for physical parameters of an evolving system (of particles), we develop a Hilbert space as an ambient space to derive induced metric tensor on embedded parametric manifold identified by associated joint probabilities of particles observables (parameters). Parameter manifold assumed as space-like hypersurface evolving along time axis, an approach that resembles 3+1 formalism of ADM and numerical relativity. We show the relation of endowed metric with related density matrix. Identification of system density matrix by this metric tensor, leads to the equivalence of quantum Liouville equation and metric compatibility condition while covariant derivative of metric tensor has been calculated respect to Wick rotated time or spatial coordinates. After deriving a formula for expected energy per particles, we prove the equality of this expected energy with local scalar curvature of related manifold. We show the compatibility of BDM model with Hamilton-Jacobi formalism and canonical forms. On the basis of the model, I derive the Ricci flow like dynamics as the governing dynamics and subsequently derive the action of BDM model and Einstein field equations. Given examples clarify the compatibility of the results with well-known principles such as equipartition energy principle and Landauer’s principle. This model provides a background for geometrization of quantum mechanics compatible with curved manifolds and information geometry. Finally, we conclude a “bit density principle” which predicts the Planck equation, De Broglie wave particle relation, , Beckenstein bound and Bremermann limit.

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“…Secondly, within the framework of geometry with asymmetric connections, the Planck constant calculated from the first principles (with measured cosmological parameters) coincides with its experimental value up to the second significant digit, that is, to the measurement errors of cosmological parameters (Hubble constant and cosmological constant) [38], whereas if it is calculated for the (pseudo-) Riemannian world, we find that the Planck constant differs by factor 3/2 from its exact value [39]. In this case we use the free EM field as a probe to test the geometry of space.…”

Section: Conclusion and Discussionsupporting

confidence: 54%

Gas kinetics of galactic disk explains rotation curves of S-type galaxies without a need for Dark Matter.

Lipovka¹

2021

Preprint

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In the paper a way to explain Rotation Curves (RC) of galaxies without involving Dark Matter (DM) concept is suggested. It was done by including into our model physical properties of a rarefied gas, which was not taken into account earlier. It is shown that the observed non-Keplerian rotation curves of the outer parts of galactic disks appear in the case of gas densities of more than 10 (-5) cm(-3) and can be explained as tailwinds.We prove, that generally used methods of classical mechanics cannot be applied to calculate RCs of spiral galaxies. Moreover, the equations of hydrodynamics are also not applicable for this purpose due to the extremely rarefaction of gas in galactic disks.Starting with the kinetic equations, we got a Modified diffusion Equation (MDE), which describes motion of the rarefied gas in galactic disks. We show, that the observed non-Keplerian RCs observed for outer part of disks, and the measured radial gas distribution are closely related by obtained MDE. Thus, if the description of the rarefied gas dynamics is made correctly, then DM is not required to explain the rotation curves of galaxies. It is stressed, that while the inner part of the RC is subject of the Kepler law, for the correct description of the outer part of the RC, the collisional property of the gas should also be taken into account.To illustrate the validity of the obtained equation (13), we consider two galaxies (NGC7331 and NGC3198) characterized by flat RCs. An excellent coincidence between the measured column density of gas and that calculated from observed RCs is obtained.Total masses of NGC7331 and NGC3198 are calculated. Consequences for cosmology are discussed.

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Variation of the fine-structure constant caused by expansion of the Universe

Cited by 7 publications

References 19 publications

Binary Data Matrix Theory

Binary Data Matrix Theory

<strong>Binary Data Matrix Theory</strong>

Gas kinetics of galactic disk explains rotation curves of S-type galaxies without a need for Dark Matter.

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