Topological Conservation of Informational Manifolds: A Formal Mathematical Framework for the Persistence of Consciousness Post-Mortem
Zenodo (CERN European Organization for Nuclear Research) September 19, 2026 DOI: 10.5281/zenodo.22849493 (opens in new tab)
Study at a glance
AI-extracted from the abstract| Characteristics | Theoretical or philosophical paper Peer reviewed |
|---|---|
| Key points | Argues that consciousness can be formalized as a non-local informational manifold in a higher-dimensional Hilbert space and that its informational entropy and topological invariants are conserved through biological death, so that information annihilation is forbidden in a closed unitary system. |
Abstract
The nature of consciousness and its survival after biological death remain fundamental to theoretical physics, information theory, and philosophy of mind. This paper offers a rigorous mathematical formalization considering the "soul" as an irreducible, non-local informational manifold nested inside a higher-dimensional Hilbert space rather than as a metaphysical entity. Utilizing principles from quantum mechanics, unitary state evolution, algebraic topology, and open-quantum system dynamics, we construct a formal proof demonstrating that the informational entropy and topological invariants characterizing conscious states are conserved under biological phase transitions (death). Furthermore, by mapping conscious architecture onto holographic boundary principles, we show that information annihilation is forbidden within a closed unitary system. We finish with key quantum-informational metaphysics research issues and directions.