Thermon Energy Transfer and Thermodynamic Gaps A Thermodynamic Research Proposal for the Yang–Mills Mass Gap

Abstract

This manuscript asks whether energy-conserving (Thermodynamic) Thermon-transfer dynamics can produce an effective Yang–Mills description and a positive minimum excitation energy. It presents the proposed Heat Mass circulation and positive Thermon formation energy Eₜ separately from finite SU(2) spectral enclosures, a conditional small-coupling ladder result and a finite Gaussian contraction certificate. A direct joining estimate fails to guarantee positivity at five plaquettes; this limits that estimate rather than disproving a gap. Conditional pressure and momentum balances connect an incoming stream to a selected field response. Later transport-cell calculations, source-angle assignments, connected pressure contacts and an exact unloading example clarify what those connections establish. The assigned astronomical angle is not a prediction of the cube dynamics. Complete unloading conserves energy in the example, but the full excitation gap depends on the return medium. An elementary spectral proposition states sufficient conditions for preserving a positive energy threshold; those conditions have not been established for Thermon-derived Yang–Mills dynamics. The paper closes this exploratory phase with reproducible evidence, explicit limitations and questions for independent review. It claims neither a solution nor a refutation of the Clay problem.