Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Relativistic Dilation and Contraction of the Probabilities of Quantum States of Light at Angular Incidence

Version 1 : Received: 16 June 2022 / Approved: 17 June 2022 / Online: 17 June 2022 (04:59:41 CEST)

A peer-reviewed article of this Preprint also exists.

CARDOSO, Daniel Souza; BORDIN, José Rafael. Relativistic dilation and contraction of the probabilities of quantum states of light at angular incidence. Optik, v. 267, p. 169712, 2022. CARDOSO, Daniel Souza; BORDIN, José Rafael. Relativistic dilation and contraction of the probabilities of quantum states of light at angular incidence. Optik, v. 267, p. 169712, 2022.

Abstract

The transport and entanglement of photons is becoming prominent in optics applied to information and quantum computing, where the angular momentum of light stands out in the exchange and inversion of quantized states, with prospects for several technological applications, such as the transport and storage of quantum information. In order to contribute to the understanding of quantized states in photon-matter interaction, we describe a quantized state equation in multidimensional Hilbert space for the diagnosis of OAM states, where probabilities arise in a relativistic setting. It was found that the classical-relativistic variability of the probabilities constitutes a resultant capable of describing the quantized states of light, where the state variable is the variation of the angular momentum of the photon, capable of estimating the orbital angular momentum inversion points at angular incidence. It was found that the chances of finding the quantized states of light at angular incidence can be treated by purely relativistic probabilities, explaining that when both states have equal chances of being found and the angular momentum variation is zero, the source-observer synchronizations occur at the step of increasing relativistic regime of the photon dynamics. We found that the relativistic effect from the perspective of the source referential is able to alter the chances of an event occurring, dilating and contracting the probabilities of finding a quantized state of light at angular incidence.

Supplementary and Associated Material

Keywords

Relativistic probability; relativistic synchronization; classical relativistic variability; quantized states of light; polarization inversion; light resonance curve; relativistic photon ignition; angular momentum; moment of inertia; relativistic constant; relativistic energy wave; photon-matter in-teraction

Subject

Physical Sciences, Optics and Photonics

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