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 TITLE: Relativistic exponential gravitation and exponential potential of electric charge

 AUTHOR: Ben-Amots, N.

 SOURCE: Foundations of Physics, v. 37, No. 4-5 , pp. 773-787 ( May 2007).

  ABSTRACT: We present theories of gravitation and electric potentials with exponential dependence on the reciprocal distance. In the context of this kind of electric potential we investigate the dynamics of a relativistic electron interacting with a proton.

  SUMMARY: We investigated two new gravitation theories with variable rest mass. We find that both give results very close to general relativity for known weak gravitational fields but both suggested theories do not exhibit "black holes." In order to verify which theory fits reality, analysis of existing NEA/NEO observational data is suggested.
An exponential electric potential similar to the exponential gravitation potential presently discussed is used for investigating the orbits of an electron around a proton. A new set of hydrogen electron orbitals inner to the Bohr orbitals and very close to the proton is found.

  59 references:
Milne, E.A., "Rational electrodynamics: V. The neutron and nuclear dynamics," Phil. Mag., v. 34(7), 246-258 (1943). See pp. 246-250.
Milne, E.A., "Kinematic Relativity" Clarendon Press, Oxford, UK, pp. 203-210, 214-220 in (1951) edition.
( -- First edition was in 1948).
Schiff, L.I., "Motion of a gyroscope according to Einstein's theory of gravitation," Proc. Nat. Acad. Sci., v. 46, pp. 871-82 (1960)
and more 56 references.

  KEYWORDS: Exponential potential, sub-Bohr orbital, Variable rest mass

 REVIEWER: Anonymous.
 REVIEW: I have enjoyed reading the article in the Found. of Phys. It is a very interesting, important and well written work with a lot of examples. I like this paper.

 Third line after Equation (14) should read: that (14) is consistent...
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"Vankov [5-7, 16] and also Ben-Amots [22] further extend (6) to electric charge."
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"We derived the pseudo line element (8) corresponding to (6) using a procedure similar to that of Weinberg..."
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 COMMENT: Lectured 14.6.2006 in IARD2006 Conference.

Majernik, V.
"An alternative to classical naked singularity and black hole,"
Phys. Essays, v. 22, pp. 413-419 (2009)

Tsang, Ling Man,
"Some static spherical classical solutions including the cosmological term,"
Canadian J. Pure Appl. Sci., v. 4, No. 1, pp. 1073-1079 (2010)
See p. 1078
The author name is erroneously cited as Amots instead the correct family name

Walker, Colin,
"Calculation of gravitational potential by the method of multiple redshifts,"

Walker, Colin,
"Newtonian potential and the Einstein equivalence principle,"
Foundational Questions Context (2012),

AUTHOR'S COMMENTS (not included in the paper):

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