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

Specific relativistic uncertainty in light transmission with angular orientation non-zero

“…( 9) for large angles agrees with the expected uncertainty in statistical scattering and Bohr indeterminacy, although the uncertainty of scattering and Bohr indeterminacy agree for values larger than ħ. It seems clear that we can separate these regions by the classical-relativistic synchronization angle (θsync) [9], [4], [5], exactly at the intersection of the curves with the straight line in green.…”

“…In the analysis of the momentum uncertainty of the relativistic energy wave (REW) [9], the accuracy of the angular position variation between the incident and refracted angles was considered. The refraction data known in the literature constituted the angular positions of the photon before and after the photon-matter interaction, in the scenario of constant frequency transmission, with conservation of the linear and angular moments for both particles involved, photon and electron interaction [9], [4], [5].…”

“…In this analysis the uncertainty associated with relativistic properties is verified [9], [4], [5] of light for certain materials at angular incidence, in the face of Heisenberg, Bohr, and statistical dispersion uncertainties, considering deformations associated with linear momentum and angular position in transmission processes.…”

“…Although Relativity and Quantum theories are in different scenarios, they naturally interrelate through the quantization of light and relativistic energy if one considers the quasi-relativistic Shrörendiger wave function, for cases where the momentum is well defined [15]. In turn, relativistic effects do not arise naturally in the context of quantum theory [5]. Most of the time, the triggers for transposition between theories arise through the relativistic constant, considering quantized particles with speeds close to that of light in a vacuum.…”

“…In recent studies, we have discussed the relativistic properties of photon dynamics at angular incidence, in the transition between two media [9], [4], [5], [8], demonstrating that the Abraham Disclaimer/Publisher's Note: The statements, opinions, and data contained in all publications are solely those of the individual author(s) and contributor(s) and not of MDPI and/or the editor(s). MDPI and/or the editor(s) disclaim responsibility for any injury to people or property resulting from any ideas, methods, instructions, or products referred to in the content.…”