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arXiv · 2408.11094

Quantum Mechanics of a Spherically Symmetric Causal Diamond in Minkowski Spacetime

Mathew W. Bub·Temple He·Prahar Mitra·Yiwen Zhang·Kathryn M. Zurek
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Abstract

We construct the phase space of a spherically symmetric causal diamond in $(d+2)$-dimensional Minkowski spacetime. Utilizing the covariant phase space formalism, we identify the relevant degrees of freedom that localize to the $d$-dimensional bifurcate horizon and, upon canonical quantization, determine their commutators. On this phase space, we find two Iyer-Wald charges. The first of these charges, proportional to the area of the causal diamond, is responsible for shifting the null time along the horizon and has been well-documented in the literature. The second charge is much less understood, being integrable for $d \geq 2$ only if we allow for field-dependent diffeomorphisms and is responsible for changing the size of the causal diamond.

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Mathew W. Bub, Temple He, Prahar Mitra, Yiwen Zhang, Kathryn M. Zurek. 2024-08-20. Quantum Mechanics of a Spherically Symmetric Causal Diamond in Minkowski Spacetime. https://doi.org/10.1103/physrevlett.134.121501

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