Paper T3: Particle Identity from Triadic Resonance in Holosphere Theory

A collective Holosphere excitation retains identity through relations among occupied support,
signed surface response, contact history, and its surrounding host. We make part of that
persistence calculable using the current 122BB–122BD organization and the phase branches of
T12. A finite perturbation bound protects nonzero surface amplitudes, admitted edge phases,
and winding: the sum of the two endpoint phase-error bounds must remain below each edge’s
available phase margin. For balanced branches, an exact sensitivity law shows how changing
host strain redistributes phase and current. In a twelve-guide example, the second winding
branch reaches its declared phase boundary at a host-edge strain of approximately 0.689283,
while the first winding branch retains a positive margin. A residual estimate connects such
reference patterns to an actual occupied surface evolution and explicitly supplied handoff maps.
Three-mode reductions are tested by their leakage into the remaining occupied responses, and
source–reference comparison retains the relative sign information required by the current two-pass
memory mechanism. Charge-like inventory, circulating current, and return sign remain distinct.
The complete standalone program checks these mathematical results without observational
substitutes, downloads, or outputs from other papers.