Experience Architecture: A Mathematical Theory of Organized Answerability

This paper introduces Experience Architecture as a mathematical framework for modeling organized answerability through a new class of typed, constrained dynamical systems. The proposed object is defined by six mutually constrained functional conditions---Difference, Availability, Orientation, Integration, Temporality, and Answerability---together with a dynamic mutual-constraint structure, constrained state space, transition dynamics, reachable response field, and constraint-residual map. While all six conditions are primitive, Answerability is distinguished by its role as the architecture's counterfactual consequence condition, linking organized states to changes in reachable responses. The framework develops a zero-non-compensatory Experience Architecture Completeness Index, coherence measures, structural distances, collapse operators, local stability analysis, and information-theoretic, geometric, topological, and categorical representations. Fundamental results characterize admissibility and establish fixed-point existence, structural invariance, collapse behavior, perturbation stability, and propagation properties under explicit assumptions. A synthetic example illustrates the framework's structural expressiveness. The theory provides a mathematically rigorous, implementation-neutral foundation for future computational and empirical investigations of experience without claiming to identify or measure phenomenal consciousness.