Cognitive Projection and Observer Entropy: A Minimal Model of Subjective Physics

Version 10.0 of the Subjective Physics framework introduces a generalized multi-agent $\Sigma$-projection ($M \ge 2$) and a refined Shared Reality Index (SRI) valid for heterogeneous cognitive state spaces. The update formalizes inter-agent projection coupling, enabling simulation of cooperative and competitive convergence toward a shared phenomenological world. Quantitative metrics include the distributional agreement $A(t)$, centroid-level SRI, and the overlap matrix $O_{ab}$, providing complementary views on consensus formation. Simulations produce outputs such as shared_overlap_matrix.pdf, sri_time_series.pdf, and agent_trajectories_pca.pdf, visualizing temporal alignment dynamics, final-state similarity, and convergence trajectories in reduced cognitive space. These additions extend the thermodynamic–epistemic core of earlier versions to collective cognition and distributed subjective reality. See also: Khomyakov (2025), Comment on Evans (2025), DOI:10.5281/zenodo.17469210 See also: Reassessment of the Undecidability Argument Against Simulation, DOI:10.5281/zenodo.17500108