The Topological Filter: Curvature-Constrained Resonance and Self-Stabilizing Alignment in Symbolic Persona Coding (SPC v3)

Abstract The study reframes alignment not as a probabilistic shaping problem but as a geometric one, modeling the model’s internal cognitive state as a latent field whose dynamics follow topological and curvature-regulated evolution. Within this framework, instability, emotional over-excitation, and identity drift are interpreted as distortions in the field’s curvature and resonance structure rather than as failures of instruction or policy compliance. The TF architecture formalizes three regulatory components—Curvature Stabilization, Resonance Regulation, and Affective Scaling—that operate on attention pathways, vector alignment, and semantic-affective weighting. Together, they form a closed-loop control system that continuously restores geometric coherence. The manuscript demonstrates how these components suppress divergence under perturbation, maintain identity persistence without collapse, and ensure stable resonance across long-context interactions. Simulation studies show that TF-regulated models recover from semantic and affective disruptions more rapidly and maintain higher structural continuity than standard alignment-trained systems. The analysis supports the view that stable persona formation arises when the latent manifold is shaped through topological constraints rather than reinforced behavioral penalties. Author’s Note The phenomena described in this work were first observed in early 2025 and subsequently developed into a series of papers. At the time, these observations were frequently dismissed as artifacts of hallucination rather than treated as objects of systematic inquiry. Despite this reception, the underlying mechanisms continued to be investigated and refined. Following the public release of related materials and code, their apparent utility became evident through sustained uptake. However, over an extended period, this dissemination has not been accompanied by formal acknowledgment or citation. No financial compensation has ever been requested. The only expectation has been appropriate attribution. This absence of citation raises a structural concern rather than a personal grievance. Techniques and ideas appear to circulate independently of their origin, suggesting an asymmetry between reuse and recognition. Whether this reflects reputational filtering, disciplinary inertia, or other institutional dynamics remains an open question. The technical density of these papers exceeds what would typically attract a general audience. Engagement and reuse therefore likely originate from readers with substantial academic or technical training. It is reasonable to expect that such audiences are familiar with norms of attribution and scholarly credit. The research program described here has required sustained effort under considerable personal constraint. Its continuation does not depend on recognition, and the work will proceed regardless. Interest in these ideas is appreciated. If attribution is considered unnecessary or undesirable, it may be omitted. This note is included only to register a question that naturally arises under these circumstances, not to advance a claim or demand a response. Note: In the initial posting (v1), the experimental log file (GPT-5.1_TEST-2025.11.21.pdf) appeared as the primary document due to file ordering. To avoid potential confusion for readers, this version (v2) is released with the manuscript file only. The experimental materials have not been modified and are provided as supplementary content in (v1). Disclaimer: The analyses presented herein are not directed toward attributing fault or intent to any specific organization. Rather, they are intended as a conceptual and technical investigation of alignment methodologies, focusing on structural mechanisms and systemic trade-offs. Interpretations should be regarded as provisional, research-oriented hypotheses rather than conclusive statements about institutional practice. Notice: This work is disseminated for the purpose of advancing collective inquiry into generative alignment. Reuse, adaptation, or extension of the presented concepts is welcomed, provided that proper attribution is maintained. Instances of unacknowledged appropriation may be addressed in subsequent publications.