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Does quantum field theory have a hidden spectral fingerprint?

Joshua Y. L. Jones, Yasaman K. Yazdi

May 29, 2026

The causal propagator encodes how quantum fields communicate across spacetime — it's the mathematical heartbeat of causality in quantum field theory. By studying its eigenvalue spectrum, the authors conjecture an asymptotic scaling law analogous to Weyl's famous result linking a drum's overtones to its shape, but now for Lorentzian (relativistic) spacetimes. If confirmed, this would give a spectral toolkit for reading off spacetime geometry from quantum field data alone.
Published as Spectral Density of the Causal Propagator arXiv:2606.00311
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