scholarly journals Are Newtonian Gravitation and Geometrized Newtonian Gravitation Theoretically Equivalent?

Erkenntnis ◽  
2015 ◽  
Vol 81 (5) ◽  
pp. 1073-1091 ◽  
Author(s):  
James Owen Weatherall
Keyword(s):  
Newtonian Gravitation ◽  
Geometrized Newtonian Gravitation

scholarly journals What Is a Singularity in Geometrized Newtonian Gravitation?

2014 ◽  
Vol 81 (5) ◽  
pp. 1077-1089 ◽  
Author(s):  
James Owen Weatherall
Keyword(s):  
Newtonian Gravitation ◽  
Geometrized Newtonian Gravitation

scholarly journals LOWER BOUNDS OF CHARACTERISTIC SCALE OF TOPOLOGICAL MODIFICATION OF THE NEWTONIAN GRAVITATION

2012 ◽  
Vol 21 (05) ◽  
pp. 1250048
Author(s):  
L. IORIO
Keyword(s):  
Semimajor Axis ◽  
Data Sets ◽  
Orbital Elements ◽  
Dynamical Models ◽  
Spatial Direction ◽  
Newtonian Gravitation ◽  
Complementary Approach ◽  
Local Modification

We analytically work out the long-term orbital perturbations induced by the leading order of perturbing potential arising from the local modification of the Newton's inverse square law due to a topology ℝ2 × 𝕊1 with a compactified dimension of radius R recently proposed by Floratos and Leontaris. We neither restrict to any specific spatial direction [Formula: see text] for the asymmetry axis nor to particular orbital configurations of the test particle. Thus, our results are quite general. Nonvanishing long-term variations occur for all the usual osculating Keplerian orbital elements, apart from the semimajor axis which is left unaffected. By using recent improvements in the determination of the orbital motion of Saturn from Cassini data, we preliminarily inferred R ≳ 4-6 kau . As a complementary approach, the putative topological effects should be explicitly modeled and solved-for with a modified version of the ephemerides dynamical models with which the same data sets should be reprocessed.

scholarly journals FORCES BETWEEN ELECTRIC CHARGES IN MOTION: RUTHERFORD SCATTERING, CIRCULAR KEPLERIAN ORBITS, ACTION-AT-A-DISTANCE AND NEWTON'S THIRD LAW IN RELATIVISTIC CLASSICAL ELECTRODYNAMICS

2008 ◽  
Vol 23 (02) ◽  
pp. 327-351 ◽  
Author(s):  
J. H. FIELD
Keyword(s):  
Special Relativity ◽  
Small Angle ◽  
Classical Electrodynamics ◽  
Classical Electromagnetism ◽  
Newtonian Gravitation ◽  
Keplerian Orbits ◽  
Rutherford Scattering ◽  
Action At A Distance ◽  
Electrodynamic Theory ◽  
Third Law

Standard formulae of classical electromagnetism for the forces between electric charges in motion derived from retarded potentials are compared with those obtained from a recently developed relativistic classical electrodynamic theory with an instantaneous intercharge force. Problems discussed include small angle Rutherford scattering, Jackson's recent "torque paradox" and circular Keplerian orbits. Results consistent with special relativity are obtained only with an instantaneous interaction. The impossibility of stable circular motion with retarded fields in either classical electromagnetism or Newtonian gravitation is demonstrated.

Vacuum polarization and non-Newtonian gravitation

1980 ◽  
Vol 55 (2) ◽  
pp. 252-256 ◽  
Author(s):  
D. R. Long
Keyword(s):  
Vacuum Polarization ◽  
Newtonian Gravitation

scholarly journals Dark matter, dark energy and gravity

2015 ◽  
Vol 24 (02) ◽  
pp. 1550012 ◽  
Author(s):  
B. A. Robson
Keyword(s):  
Dark Matter ◽  
Dark Energy ◽  
Particle Physics ◽  
Composite Structures ◽  
Gravitational Interaction ◽  
Asymptotic Freedom ◽  
Generation Model ◽  
Newtonian Gravitation ◽  
Color Confinement ◽  
Vector Bosons

Within the framework of the Generation Model (GM) of particle physics, gravity is identified with the very weak, universal and attractive residual color interactions acting between the colorless particles of ordinary matter (electrons, neutrons and protons), which are composite structures. This gravitational interaction is mediated by massless vector bosons (hypergluons), which self-interact so that the interaction has two additional features not present in Newtonian gravitation: (i) asymptotic freedom and (ii) color confinement. These two additional properties of the gravitational interaction negate the need for the notions of both dark matter and dark energy.

scholarly journals Rigid motions and generalized Newtonian gravitation

2013 ◽  
Vol 45 (8) ◽  
pp. 1531-1546 ◽  
Author(s):  
Xavier Jaén ◽  
Alfred Molina
Keyword(s):  
Newtonian Gravitation ◽  
Rigid Motions

An extension of Newtonian gravitation theory

1975 ◽  
Vol 26 (2) ◽  
pp. 370-376 ◽  
Author(s):  
K. D. Cole
Keyword(s):  
Gravitation Theory ◽  
Newtonian Gravitation
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