Electromagnetic field as a non-linear connection

Comment on "The Mössbauer rotor experiment and the general theory of relativity" [Ann. Physics 368 (2016) 258-266]

In present article the original proposition is a generalization of the Einstein's world tensor $g_{ij}$ by the introduction of pure inertial field tensor $g^{ac}_{ij}$ such that $R_{{\mu}{\nu}{\lambda}}^{\alpha}(g^{ac}_{ij})\neq0$.Bimetric theory of gravitational-inertial field is considered for the case when the gravitational-Inertial field is governed by either a perfect magnetic this http URL a series of papers published during the past decade with respect to Mossbauer experiments in a rotating system [71]-[75],it has been experimentally shown that the relative energy shift {\Delta}E/E between the source of resonant radiation (situated at the center of the rotating system) and the resonant absorber (located on the rotor rim) is described by the relationship ${\Delta}E/E=-ku^2/c^2$, where u is the tangential velocity of the absorber, c the velocity of light in vacuum, and k some coefficient, which -- contrary to what had been classically predicted equal 1/2 (see for example [35]) -- turns out to be substantially larger than 1/2. It cannot be stressed enough that the equality $k=1/2$ had been predicted by general theory of relativity (GTR) on account of the special relativistic time dilation effect delineated by the tangential displacement of the rotating absorber, where the "clock hypothesis" by Einstein (i.e., the non-reliance of the time rate of any clock on its acceleration [35]) was straightly adopted. Hence, the revealed inequality $k>1/2$ indicates the presence of some additional energy shift (next to the usual time dilation effect arising from tangential displacement alone) between the emitted and absorbed resonant radiation. By using Bimetric Theory of Gravitational-Inertial Field [76] we obtain $k=0.75$ in a good agreement with experimental result $k=0.69+(-)0.03$ [75].

/pdf/bimetric-theory-of-gravitational-inertial-field-in-wtp32lm4iy.pdf

Bimetric Theory of Gravitational-Inertial Field in Riemannian and in Finsler-Lagrange Approximation.

The Mossbauer experiment in a rotating system and the extraenergy shift between emission and absorption lines using Bimetric theory of gravitational-inertial field in Riemannian approximation explained.Bimetric theory of gravitational-inertial field is considered for the case when the gravitational-Inertial field is governed by either a perfect magnetic fluid.In a series of papers published during the past decade with respect to Mossbauer experiments in a rotating system [71]-[75],it has been experimentally shown that the relative energy shift ΔE/E between the source of resonant radiation (situated at the center of the rotating system) and the resonant absorber (located on the rotor rim) is described by the relationship ΔE/E=−ku 2 /c 2 , where u is the tangential velocity of the absorber, c the velocity of light in vacuum, and k some coefficient, which -- contrary to what had been classically predicted equal 1/2 (see for example [35]) -- turns out to be substantially larger than 1/2. It cannot be stressed enough that the equality k=1/2 had been predicted by general theory of relativity (GTR) on account of the special relativistic time dilation effect delineated by the tangential displacement of the rotating absorber, where the "clock hypothesis" by Einstein (i.e., the non-reliance of the time rate of any clock on its acceleration [35]) was straightly adopted. Hence, the revealed inequality k>1/2 indicates the presence of some additional energy shift (next to the usual time dilation effect arising from tangential displacement alone) between the emitted and absorbed resonant radiation. By using Bimetric Theory of Gravitational-Inertial Field [76] we obtain k=0.75 in a good agreement with experimental result k=0.69+(-)0.03 [75].

The Mössbauer Experiment in a Rotating System and the Extraenergy Shift Between Emission and Absorption Lines Using Bimetric Theory of Gravitational-Inertial Field in Riemannian Approximation Explained

In present article the original proposition is a generalization of the Einstein's world tensor g ij by the introduction of pure inertial field tensor g ac ij such that R α μνλ (g ac ij )≠0 .Bimetric theory of gravitational-inertial field is considered for the case when the gravitational-Inertial field is governed by either a perfect magnetic fluid.In a series of papers published during the past decade with respect to Mossbauer experiments in a rotating system [71]-[75],it has been experimentally shown that the relative energy shift ΔE/E between the source of resonant radiation (situated at the center of the rotating system) and the resonant absorber (located on the rotor rim) is described by the relationship ΔE/E=−ku 2 /c 2 , where u is the tangential velocity of the absorber, c the velocity of light in vacuum, and k some coefficient, which -- contrary to what had been classically predicted equal 1/2 (see for example [35]) -- turns out to be substantially larger than 1/2. It cannot be stressed enough that the equality k=1/2 had been predicted by general theory of relativity (GTR) on account of the special relativistic time dilation effect delineated by the tangential displacement of the rotating absorber, where the "clock hypothesis" by Einstein (i.e., the non-reliance of the time rate of any clock on its acceleration [35]) was straightly adopted. Hence, the revealed inequality k>1/2 indicates the presence of some additional energy shift (next to the usual time dilation effect arising from tangential displacement alone) between the emitted and absorbed resonant radiation. By using Bimetric Theory of Gravitational-Inertial Field [76] we obtain k=0.75 in a good agreement with experimental result k=0.69+(-)0.03 [75].

/pdf/bimetric-theory-of-gravitational-inertial-field-in-4h105piix6.pdf

Electromagnetic field as a non-linear connection

Citations

Comment on "The Mössbauer rotor experiment and the general theory of relativity" [Ann. Physics 368 (2016) 258-266]

Bimetric Theory of Gravitational-Inertial Field in Riemannian and in Finsler-Lagrange Approximation.

The Mössbauer Experiment in a Rotating System and the Extraenergy Shift Between Emission and Absorption Lines Using Bimetric Theory of Gravitational-Inertial Field in Riemannian Approximation Explained

Bimetric Theory of Gravitational-Inertial Field in Riemannian and in Finsler-Lagrange Approximation

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