The relativistic and the hidden momentum of Minkowski and Abraham in relativistic energy wave

Relativistic dilation and contraction of the probabilities of quantum states of light at angular incidence

“…The polarization reversal points are very close to the Brewster angles [14], [37], [21], [28], similar to observed for the classical-relativistic synchronization angles where the OAM inversions are found [8], [7]. Note that these are special regions of incidence, since they comprise processes where the polarized light does not seem to escape from the region where the OAM inversions take place, which in turn offers a transmission path that is not able to change its angular momentum state from the perspective of the source referential, as we will discuss in this paper.…”

“…In this analysis a photon is characterized by the displacement mass with inertial properties of translation and rotation [7]. When transiting between two media it is subject to two torques, Abraham's and Minkowisk's, conditioned to a relativistic motion in which the relativistic trajectory appears with delay [8]. In this context, classical and relativistic properties can be related according to our previous works [8], [7], where the difference between classical and relativistic quantities are described by classical-relativistic variability, for different variables for example:…”

“…Recently, we described the relativistic effects of photon-matter interaction in the transition between two refringent media [8], without dealing with intermediate processes in the transmission.…”

“…We demonstrated through a conservative process for a single photon, that when transiting between media it is subject to the Abraham torque, which in turn acts as a relativistic ignition device for the photon, which is subject to a second torque, Minkowisk, which imposes a relativistic trajectory that arises with an angular delay, precisely at the points of classical-relativistic synchronization where occurs the reversal of the OAM [8].…”

“…Considering that the transmission of the angular momentum variation ∆L features prominently in entanglement processes and quantum teleportation, we conducted a description in the angular momentum variation domain, characterizing the possible states associated with the photon in the transmission, considering the relativistic effects under angular incidence [8].…”