Two-Channel Coupling Theory for Energy Conservation in Interacting Thermal Systems

Authors : Muhammad Umar Jabbar

DOI : 10.2139/ssrn.7288078

Volume : 11

Issue : 1

Year : 2026

Page No : 11

This paper formulates TREA-ISEC as a stand-alone theory of coupled thermal regulation. The theory begins with independent physical primitives rather than a previously defined recursion and separates interaction into two measurable channels: diagonal self-renormalization of an individual system's heat loss and off-diagonal reciprocity caused by a neighbor's realized heat output. For n coupled systems, the governing balance is ((I+C)P=DP^0), where D contains the diagonal reductions and C contains the neighbor-mediated terms. For two identical systems, the exact result is (P/P^0=(1-s)/(1+c)) and the total fractional reduction is (q=(s+c)/(1+c)). Applying the one-channel special case to published Brandt's vole data gives effective coefficients 0.555 and 0.592, while the reported cold-condition conductance reduction demonstrates why those values cannot yet be interpreted as pure cross-coupling constants. The paper therefore establishes exact mathematics, explicit parameter definitions, and falsifiable predictions, while distinguishing them from empirical proof and from existing qualitative accounts of huddling.


Citation Data