RHD: Internal Modular Compensation by CAR Dimension Extension: A Marked Cohen–Sisca Construction with Singular Recursive Fusion, Exact Modular Repair, and Nonzero Norm Survival
Year: 2026
Type: preprint
Abstract: Title: RHD: Internal Modular Compensation by CAR Dimension Extension: A Marked Cohen–Sisca Construction with Singular Recursive Fusion, Exact Modular Repair, and Nonzero Norm Survival Description / Abstract: This paper constructs an internally fine-tuned CAR algebra extension motivated by Relational Horizon Dynamics. Two additional fermionic modes compensate orientation-dependent modular detuning, producing a nonzero, parity-even, exactly modular-invariant exchange operator. A marked Cohen forcing construction supplies finite code witnesses and an explicit code-to-CAR dictionary. Coupling the selected interaction to positive singular-seam fusion produces a nonzero centralizer element surviving inductive enlargement in operator norm. The four-index resonance at c = 6/25 is the unique positive zero of the specified uncorrected modular mismatch. Compensation itself is possible at other parameter values; consequently, canonical forcing-derived tuning and physical realization are not claimed. Keywords: CAR C*-algebras; Cohen forcing; modular compensation; dimension extension; fermionic Fock space; resonance; singular fusion; RHD. The author of the framework had traumatic brain injuries, diplopia, and trigeminal neuralgia, and uses AI reading/collaboraive-assist: in this case: GPT.
Author: SISCA, TODD
Institution: Colorado State University
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7225389730