Numerical Verification of Structural Necessity in Irreversible Subjectivity: A Minimal One-Dimensional Prototype under Dual-Constraint Projection

This work presents a minimal numerical verification of the structural necessity of irreversible subjectivity. Rather than proposing a new model of cognition, the study isolates a one-dimensional dissipative system to systematically examine the structural conditions required to prevent structural degeneration under irreversible evolution. We adopt a counterfactual “structural toggling” strategy, selectively removing key constraints to identify failure modes and pathological regimes. The introduced prototype (NANAMI 1D MVP) functions as a controlled testbed for evaluating necessity rather than sufficiency. It complements theoretical work on the Irreversible Subjectivity Principle (ISP) by establishing an explicit, reproducible numerical setting where claims regarding structural persistence, maintenance cost, and admissible regimes are tested independently of high-level ontological assumptions. This manuscript provides a numerical anchor for future research on geometric time generation and constraint-driven agent models, and explicitly disclaims any instantiation of subjective experience. Related theoretical frameworks and prior publications are available via the author’s Zenodo profile.