An inequality for relativistic local quantum measurements
- URL: http://arxiv.org/abs/2509.11599v1
- Date: Mon, 15 Sep 2025 05:29:22 GMT
- Title: An inequality for relativistic local quantum measurements
- Authors: Riccardo Falcone, Claudio Conti,
- Abstract summary: We investigate the trade-off between vacuum insensitivity and sensitivity to excitations in finite-size detectors.<n>We derive an upper bound on the detectability of vacuum excitation, given a small but nonzero probability of false positives in the vacuum state.
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- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: We investigate the trade-off between vacuum insensitivity and sensitivity to excitations in finite-size detectors, taking measurement locality as a fundamental constraint. We derive an upper bound on the detectability of vacuum excitation, given a small but nonzero probability of false positives in the vacuum state. The result is independent of the specific details of the measurement or the underlying physical mechanisms of the detector and relies only on the assumption of locality. Experimental confirmation or violation of the inequality would provide a test of the axioms of algebraic quantum field theory, offer new insights into the measurement problem in relativistic quantum physics, and establish a fundamental technological limit in local particle detection.
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