Quantum light and radiation in Rindler spacetime: from uncertainty relations to the cosmological implications

TL;DR

This paper develops a quantum model for light in Rindler spacetime, revealing acceleration effects on uncertainty relations, radiation distribution, and cosmological implications, including potential insights into dark energy and experimental emulation.

Contribution

It introduces a novel quantum framework linking acceleration, uncertainty, and cosmology, with implications for understanding dark energy and laboratory simulations.

Findings

Acceleration modifies the Heisenberg uncertainty relation.

A modified Planck distribution relates temperature and Rindler acceleration.

The model suggests a connection between accelerated expansion and dark energy.

Abstract

Based on an analogy between diffraction integral formalism of classical field propagation and Feynman path integral approach to quantum field theory, we develop a quantum model for light and radiation in Rindler spacetime. The framework helps to reveal acceleration-induced contributions to the traditional Heisenberg position-momentum uncertainty relation. A modified Planck energy density distribution of radiation is established and reveals equivalence between temperature and Rindler acceleration as advocated by standard Unruh and anti-Unruh effects. Later, by defining an equivalent acceleration, we investigate some cosmological implications of the model with regards to redshift and expansion of the Universe. In this context, we contend that the accelerated expansion of the Universe, in addition to possessing some well-defined limits corresponding to early and local Universe epochs, may also hint towards dynamical nature of dark energy. The findings provide glimpse into future table-top experiments aimed at emulating gravitational and other cosmological phenomena in terrestrial lab setups.