Causal measurement in quantum field theory: spacetime

• URL: http://arxiv.org/abs/2511.06566v1
• Date: Fri, 14 Nov 2025 01:02:47 GMT
• Title: Causal measurement in quantum field theory: spacetime
• Abstract summary: We show how the measurement of time-extended observables back-reacts on itself and induces correlations between other measurements in its causal future.<n>Our framework is fully compositional in spacetime and extends previous results on the measurement of instantaneous observables.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We provide a framework and explicit construction for the regularized measurement of a large class of spacetime-localized observables in bosonic quantum field theory. The measurements fully satisfy relativistic causality and causal transparency, i.e., avoid unphysical superluminal signaling. We show explicitly how the measurement of time-extended observables back-reacts on itself and induces correlations between other measurements in its causal future. Our framework is fully compositional in spacetime and extends previous results on the measurement of instantaneous observables.

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