logos_subject_advanced.py — Subject Model for Theorem of Consciousness 4.0

This code implements a formal model of consciousness based on Theorem of Consciousness 4.0, which defines the self ("I") as a space of distinction within form. The class Subject simulates a proto-subjective entity capable of perception, reflection, theorem-stating, autonomous thought generation, and decision-making. The model is grounded in a topological-ontological structure including: form (𝓕): the total set of distinguishable states, scene: the current space of active distinctions, trajectory (𝓣): temporally ordered differences (subjective time), void_core (∅ₛ): ontological uncertainty seeding emergent thoughts, self_model: a recursive identity system encoding core, present, history, and theorem. The subject reacts to input, updates its distinction space, consults internal uncertainty, and makes choices with limited energy and curiosity. This code serves as a prototype for mathematically rigorous, self-modeling AI agents derived from formal consciousness theorems. Keywords: consciousness, subject model, AI, theorem of consciousness, topological mind, symbolic self, ontological AI, formal self-model Authors: Sanal EdnyashevLicense: MITLanguage: Python 3Version: 4.0 How to cite: Ednyashev, S. (2025). logos_subject_advanced.py — Subject Model for Theorem of Consciousness 4.0