A Statistical Derivation of the Unruh Effect

Author: Samreet Dhillon

Department of Physics, Guru Nanak Dev University, Amritsar, Punjab 143005, India

Abstract

The Unruh effect is traditionally derived using Bogoliubov transformations in quantum field theory. We show that the effect can be derived more intuitively by identifying the inherent periodicity in the Euclidean continuation of the Rindler metric, drawing a direct analogy to the canonical ensemble in statistical mechanics. This method highlights the deep connection between uniform acceleration, horizons, and thermality without relying on advanced field quantization techniques. This approach offers conceptual clarity for students of statistical mechanics, quantum field theory, and general relativity.

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