On the existence of exotic matter in classical Newtonian mechanics

Abstract

According to Newton's law of gravitation the force between two particles depends upon their inertial, as well as their active and passive gravitational masses. For ordinary matter all three of these are equal and positive. We consider here the more general case where these quantities are equal in magnitude for a given particle but can differ in sign. The resulting set of possible interactions allows each particle type to be assigned to one of precisely four different classes, and the results of N-body simulations show that the corresponding dynamics can give rise to a fairly rich spectrum of possible outcomes, some of which are familiar from nature at various scales. Total energy and momentum are conserved by all of these interactions if the definitions of momentum and kinetic and potential energy are suitably generalised.

The Formalism of Milky-Way Antimatter-Domains Evolution

“…Matter domains and antimatter domains are predicted in [19], in which case matter domains and antimatter domains (where the latter have negative gravitational mass) are predicted to exhibit a repulsion which can be responsible of the expansion of the universe.…”

A look into the possibility of negative mass

“…Let Ξ 12 , Ω 12 , v 12 and φ 12 be the parameters associated with U [12] . We find that a general form for φ 12 is:…”

“…In this same respect, particle-antiparticle production and annihilation thresholds are not changed even if we suppose that antiparticles have negative mass. Some authors [5] [12][13] [14] tried ad'hoc modifications of the expression of the non-relativistic kinetic energy E c = 1 2 mv 2 /R by multiplying by a sign factor, forgetting the relativistic origin of this expression. Nevertheless, these authors produced some interesting classes of particles with properties "mimicking" in some respect the behavior of dark matter and dark energy.…”