Planck Constant as Adiabatic Invariant Characterized by Hubble’s and Cosmological Constants

Lipovka, A. A.

doi:10.4236/jamp.2014.25009

Cited by 11 publications

(37 citation statements)

References 10 publications

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In present paper we confirm our previous result [5] that the Planck constant is adiabatic invariant of electromagnetic field propagating on the adiabatically changed Finslerian manifold. Direct calculation from cosmological parameters gives value h=6x10(-27) (erg s).

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supporting

confidence: 92%

“…5) Recently we have published the paper in which we clearly points out the geometrical origin of the Planck constant [5]. In this paper we have shown that the Planck constant is adiabatic invariant of electromagnetic field on the adiabatically changed Finslerian manifold.…”

Section: Introductionmentioning

confidence: 77%

“…For this reason let us consider here the hydrogen atom as an example. In order to coincide with the Schrödinger formulation of quantum mechanics, we should neglect the third term in (52) which corresponds to quantum potential [14,15] in Bohmian formulation, and gives the zero energy correction (for example in the case of harmonic oscillator it gives term 1/2 in expression for energy [5,14]). In this case by varying (52) we have…”

Section: Complete Theorymentioning

confidence: 99%

“…In this paper we have shown that the Planck constant is adiabatic invariant of electromagnetic field on the adiabatically changed Finslerian manifold. From this fact the variation of the Planck constant on the time directly follows (and hence variations of fundamental constants, for example variation of the fine structure constant, due to adiabatically changed geometry [5,6]).…”

Section: Introductionmentioning

confidence: 99%

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Physics on the Adiabatically Changed Finslerian Manifold and Cosmology

Lipovka

2017

JAMP

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In present paper, we confirm our previous result [5] that the Planck constant is adiabatic invariant of the electromagnetic field propagating on the adiabatically changed Finslerian manifold. Direct calculation of the Planck constant from the first principles with using of the actually measured cosmological pa- Equations of electrodynamics on the Finslerian manifold are obtained. It is stressed that quantization naturally appears from these equations and is provoked by adiabatically changed geometry of the manifold. We consider in details two direct consequences of the equations: i) cosmological redshift of photons and ii) effects of Aharonov-Bohm, that immediately follow from obtained equations. It is shown that quantization of systems consists of electromagnetic field and baryonic component (like atoms) is obvious and has clear explanation.

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supporting

confidence: 92%

Section: Introductionmentioning

confidence: 77%

Section: Complete Theorymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Physics on the Adiabatically Changed Finslerian Manifold and Cosmology

Lipovka

2017

JAMP

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“…A most visible mainstream effort to develop a theoretical framework for h is reported by Lipovka (2014). However, given the rigor and sophistry of the standard procedure, his final result makes very interesting comparison with the apparently dismissible mundane classical approach reported by Schreiber (2006).…”

Section: Planck Constant Hmentioning

confidence: 98%

On the Fundamental Physical Constants: I. Phenomenology

Obande¹

2017

APR

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The fundamental physical constants (FCs) are parametrized. The results reveal that: 1) FCs are field coupling constants. With the exception of ratio of identities such as μ = m p /m e , there are no dimensionless constants -all FCs, including α and π, are dimensional. 2) The constant k = 1.6022 x 10 -19 implicates: i) atomic unit of torque, it causes matter's intrinsic rotation on all (atomic to cosmic) scales; ii) motion of unrestricted bodies through free space and random thermal (Brownian) motion in condensed matter; iii) superluminal space expansion, i.e., Hubble effect is not an acceleration but tangential velocity (πc) of free space; and iv) common parametric definition of radioactivity and stellar explosion/supernova. 3) Newtonian gravitation comprises two potentials, a spherical pneumatic torque field G 1 acts to inflate the gravitational envelope and a combination of force fields G 2 impacts an acute hydrostatic pressure on the individual and common envelopes of the gravitating bodies; the two contrary force fields function to create a coherent rigid system in dynamic equilibrium. is associated with the strong nuclear force (SNF), it binds matter on all (atomic to cosmic) scales. 5) Although the classical electron radius (CER) formulation r e = e 2 /m e c 2 yields correct value, it is nonetheless fortuitous as m e deviates from the theoretical value by twenty orders of magnitude and theory does not link spatial dimension to electrostatics charge quantum. 6) Successful evaluation of r e by three alternative methods implies that an attempt to relegate the CER as currently obtains in the Standard Model seeks to re-engineer reality. 7) Electron bosonic radius identifies with the astronomical unit, it accounts for "spooky" action at a distance and "entanglement" effects. 8) Planck length fails to relate to atomic spatial dimension indicating that Planck space does not refer to the atom. 9) Electric, magnetic and gravitational effects are all motivated by torque but its magnitude differs according to the order: electrical (N m) > magnetic (N m) 0.75 > gravitational (N m) 0.25 . It is submitted that even if the atom degraded with cosmological epoch, values of the FCs would remain fixed because they are parametric relative quantities.

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

Cardenas

Lipovka

2019

Mod. Phys. Lett. A

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In this paper, we evaluate the fine-structure constant variation that should take place as the pseudo-Riemannian Universe expands and its curvature is changed adiabatically. Such variation of the fine-structure constant is attributed to an energy loss by an extended physical system (consisting of baryonic component and electromagnetic (EM) field) due to expansion of our Universe. Obtained ratio [Formula: see text] (per second) is only five times smaller than actually reported experimental limit on this value. For this reason, the obtained variation can probably be measured within a couple of years. To argue the correctness of our approach, we calculate the Planck constant as adiabatic invariant of the EM field propagated on the pseudo-Riemannian manifold characterized by slowly varied geometry. Finally, we discuss the double clock experiment based on Al[Formula: see text] and Hg[Formula: see text] clocks carried out by Rosenband et al. (Science 2008). We show that in this case (when the fine-structure constant is changed adiabatically), the method based on double clock experiment cannot be applied to measure the fine-structure constant variation.

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Planck Constant as Adiabatic Invariant Characterized by Hubble’s and Cosmological Constants

Cited by 11 publications

References 10 publications

Physics on the Adiabatically Changed Finslerian Manifold and Cosmology

Physics on the Adiabatically Changed Finslerian Manifold and Cosmology

On the Fundamental Physical Constants: I. Phenomenology

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

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