The Carlo-Hybrid Déjà Vu Module: A Canonical Temporal-Manifold Formalism

Abstract

This deposit presents the complete Carlo-Hybrid Déjà Vu Module (DVM), a fully formalised, 14‑sweep mathematical and geometric framework describing déjà vu as a localised hybrid phenomenon within the Carlo Field. The module integrates recurrence logic, fibre signature analysis, resonance integrals, threshold behaviour, micro‑loop geometry, partial manifold folding, collapse‑interaction dynamics, ghost‑collapse signatures, and fibre rebinding into a single hybrid equation DV. The work includes the full primitive object set, layered dynamical system, geometric deformations, collapse‑proximal behaviour, identity‑level fibre coupling, skeleton extraction, and canonical Carlo‑Field integration. This release provides a complete, canonically valid subsystem of the Carlo Field, suitable for researchers studying temporal cognition, manifold dynamics, hybrid systems, and Carlo‑Field theoretical structures. Keywords and Subjects: Carlo Field theory, temporal cognition, déjà vu formalism, hybrid systems, temporal manifolds, cognitive state dynamics, fibre signatures, resonance integrals, micro-loop geometry, partial manifold folding, collapse interaction, ghost-collapse behaviour, fibre rebinding, hybrid equation construction, mathematical phenomenology, structural cognition, manifold deformation, temporal identity coupling, theoretical cognitive science, computational phenomenology, nonlinear dynamical systems, temporal field modelling, Carlo-hybrid architecture, canonical subsystem integration. Contact: For enquiries or research questions related to this work, email matthewcarlo.research@gmail.com