A Spectral Response Kernel for Low-Energy Quantum Observables
Abstract
Can low-energy quantum observables that are usually treated as separate phenomena actually emerge from one shared spectral structure? This work develops a compact spectral-response framework connecting the muon g−2g-2g−2, Lamb-shift corrections, hadronic vacuum polarization, finite-size effects, and proton-radius measurements through a single renormalized momentum-space kernel. Instead of proposing new particles or replacing the Standard Model, the paper investigates whether multiple precision observables can be understood as correlated projections of the same transverse spectral response. The framework derives explicit weighting kernels, introduces observable-correlation benchmarks, and shows how one spectral deformation propagates simultaneously across several independent systems, producing global consistency constraints between them.
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