Radiation from charged particles due to explicit symmetry breaking in a gravitational field

Abstract

The paradox of a free falling radiating charged particle in a gravitational field, is a well-known fascinating conceptual challenge that involves classical electrodynamics and general relativity. We discuss this paradox considering the emission of radiation as a consequence of an explicit space/time symmetry breaking involving the electric field within the trajectory of the particle seen from an external observer. This occurs in certain particular cases when the relative motion of the charged particle does not follow a geodesic of the motion dictated by the explicit Lagrangian formulation of the problem and thus from the metric of spacetime. The problem is equivalent to the breaking of symmetry within the spatial configuration of a radiating system like an antenna: when the current is not conserved at a certain instant of time within a closed region then emission of radiation occurs [1]. Radiation from a system of charges is possible only when there is explicit breaking of symmetry in the electric field in space and time.

Spectral switch anomalies in a Sagnac interferometer with respect to a Galilean frame

“…Finally the spectral domain intensity output with arbitrary phase θ, can be written as follows. [1][2][3]23]…”

Majorana quanta, string scattering, curved spacetimes and the Riemann Hypothesis

“…The Rindler spacetime is a hyperbolically accelerated reference frame that is comparable to a homoge-neous gravitational field, a solution of Einstein's equations in General Relativity, used to study several fundamental physical problems like the description of a free falling radiating charge [31,32]. This manifold acts as a Minkowski spacetime with coordinates adapted to a boost-Killing vector field and is equivalent to a uniformly accelerated observer where all Lorentz boosts, rotations and their combinations are continuously connected to the identity operator.…”

Testing the equivalence principle and discreteness of spacetime through the t3 gravitational phase with quantum information technology

“…LEQGs are related through the principle of equivalence (PE). The PE states the equivalence between the gravitational and inertial mass, or, in other words, an acceleration is locally equivalent to the effect of a gravitational field and is one of the milestones of General Relativity and related to the paradox of a free falling radiating charged particle in a gravitational field [76]. In the weak gravity limit one can state that the motion of a point-like test particle in a uniform gravitational field with acceleration g is indistinguishable from that in with acceleration −g in a region where gravity is null.…”