Membrane Theory: Quantum Information in Breathing Space

This paper is not a standalone reformulation of quantum information theory, nor an attempt to reinterpret quantum mechanics in isolation. It exists because an unexpected dependency emerged only after the completion of the Membrane Theory mass formulation: quantum information, coherence, and measurement are inseparable from the geometric mechanism that gives rise to mass itself. Earlier papers in the Membrane Theory series established the breathing dynamics of curvature, the distinction between inward and outward breathing, and the conditions under which stable excitations exist. The MT–Mass work demonstrated that mass is not a fundamental attribute but a consequence of sustained inward breathing closure. What could not be anticipated beforehand is that the same closure mechanism also governs information accessibility, entanglement stability, and measurement admissibility. Quantum information turns out to be constrained not merely by coherence or interaction, but by the same geometric structures that distinguish massive from massless excitations. This paper therefore arrives only after the mass picture is complete. It shows that quantum states are envelope-level descriptions of unresolved breathing-phase evolution; that superposition corresponds to an evolutionary regime rather than a physical coexistence; that entanglement is geometric alignment rather than nonlocal influence; and that measurement is a curvature-enforced alignment event admissible only within coherence-limited windows. Crucially, it demonstrates that information accessibility, decoherence, and readout timing depend implicitly on the presence or absence of inward curvature condensation—that is, on mass. The result is a unified geometric account in which mass, information, causality, and measurement are not independent pillars but manifestations of a single breathing framework operating at different levels of accessibility. Quantum information theory is recovered as an effective, statistically coarse-grained description of this geometry, while its long-standing interpretational puzzles are resolved as consequences of limited phase access rather than fundamental randomness or observer dependence. With the mass–information connection now explicit, this work closes the conceptual gap between Membrane Theory and quantum information and establishes the final prerequisite for a fully geometric treatment of interaction, computation, and measurement. It also clarifies why such a theory could not have been written earlier: the informational structure of quantum mechanics is not foundational—it is conditional on the same geometric closure that produces mass.