Integrating the Intrinsic Parameter η into the Adaptive Constraint Cascade (ACC) Framework – An Exploratory and Illustrative Proposal

The Adaptive Constraint Cascade (ACC) framework employs extrinsic control parameters (λ, β, ε, Λ, …) to describe continuous transitions between physical theories. In a companion paper, we introduced an intrinsic parameter η = Δm₀/m₀, which characterizes the "matter–field" composition of a particle. Here we explore, in an exploratory and illustrative manner, how η might be integrated into the existing framework equations of ACC_1 (quantum–classical), ACC_2 (Newton–SR–GR), ACC_3 (NRQM–QFT), and ACC_APD (Cherenkov radiation). The modifications presented are speculative and non-unique; they are intended to demonstrate possible directions rather than to assert definite physical laws. We emphasize that this is a heuristic structural proposal, not a claim of new physics. The equations presented here should be viewed primarily as conceptual illustrations within the ACC language. No claim is made that these deformations correspond to physically realized corrections.