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    Quantum matter makes lightcones quantum

    Tomohiro Fujita1,2,* and Misao Sasaki2,3,4,5,6

    • *Contact author: fujta.tomohiro@ocha.ac.jp

    Phys. Rev. D 114, 044047 – Published 14 August, 2026

    DOI: https://doi.org/10.1103/rg3n-98lr

    Abstract

    In gravitational physics, matter does not merely move within spacetime; it also determines the light cones that define causal relations. What happens when the matter that determines these light cones is itself in a quantum state? We address this question in a controlled low-energy setting: a massless scalar field propagating in the spacetime with the Newtonian gravitational potential sourced by a nonrelativistic quantum particle. We show that the light cones are affected by an operator-valued Shapiro delay, with the three consequences: (i) causal-boundary shifts are promoted to noncommuting observables, giving the causal structure an irreducible quantum uncertainty; (ii) the causal relation between two fixed spacetime points can become a superposition of timelike and spacelike configurations; and (iii) tracing out the source smears the Wightman light cone singularity, producing an effective UV cutoff. Thus, quantum matter does not merely fluctuate within spacetime; it makes the causal structure itself quantum, even without including propagating graviton modes.

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