Relativity and Cosmology

   

A Quantitative Detectability Bound for Positive-Energy Soliton Metrics in Laboratory-Scale RF Cavities

Authors: Omar Perez

We extend the Lentz positive-energy soliton metric to a laboratory-realistic configuration: a cylindrical RF cavity in the TM010 mode with a cryogenic rutile dielectric core. We compute the electromagnetic stress-energy tensor, insert it into the weak-field Lentz relation, and derive the fractional optical path difference along the cavity axis. At 1 kW input power, the predicted signal is dL/L ~ 10^-42 (moving soliton) to 10^-84 (static soliton), approximately 19 to 61 orders of magnitude below achievable interferometric sensitivity. We conclude that the positive-energy soliton branch is empirically closed at laboratory energy scales on Earth. This is a quantitative boundary result, not an experimental failure.

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[v1] 2026-11-01 23:10:51

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