Attraction/repulsion between like charges and the spin of the classical mediating field

Abstract

The question as to whether an even or odd spin of the mediating field results in an attractive or repulsive force between like sources is examined within the framework of classical theory. It is shown that the assertion holds in a Lorentz-invariant theory constructed in analogy with electrodynamics provided that the current does not depend on any intrinsic direction of the source. Counterexamples are presented to show that the connection does not exist when the current does depend on the intrinsic direction.

Discrete Symmetry in Relativistic Quantum Mechanics

“…For CED, 1 n  whereas 2 n  for gravitational field ( 0   in both cases). So Equation (9.13) is in conformity with Equations (9.11) and (9.12) for the case of "like sources" (with 0 ee  ) [57], where the case for "unlike sources"   0 ee  hadn't been discussed. Here Equation (9.11) has been generalized to the case for "unlike sources", but at a price that the "equivalence principle" in GR ceases to be valid when matter and antimatter coexist as shown by Equation (9.10).…”

“…Hence we can perform a mass inversion on Equation (9.2) in each of two inertial frames with arbitrary relative velocity v in the sense of , , In 1986, within the framework of classical field theory (CFT) plus some assumptions, Jagannathan and Singh derived the potential energy of two static point sources as [57]       where n and  are spin and mass of the mediating field, e is the "charge" of the source. For CED, 1 n  whereas 2 n  for gravitational field ( 0   in both cases).…”

Can Galactic Observations Be Explained by a Relativistic Gravity Theory?

“…The most serious trouble with such a theory comes from the negative sign of τ 0 and σ 1 . In accordance with a general theorem [14] the sign of these constants must be positive for even spin fields and negative for odd spin fields. A wrong sign results in a propagating mode carrying negative energy; this is considered unacceptable in a theory.…”

Exponential potential versus dark matter

“…Using very credible assumptions, Jagannathan and Singh [4] proved that, in general, the static forces between like charges are attractive for even spin fields and repulsive for odd spin fields. This would suggest that the VR field is mediated by a vector boson, but such a possibility (as well as other scenarios [5] that involve vector fields) has been ruled out experimentally [B].…”