The Carlo-Hybrid Déjà Vu Module: A Canonical Temporal-Manifold Formalism v2

The Déjà Vu Module (DVM) formalises déjà vu as a localised hybrid phenomenon within the Carlo Field, arising from the interaction of recurrence, resonance, prediction dominance, micro-loop geometry, partial manifold folding, ghost-collapse signatures, and fibre rebinding. Rather than treating déjà vu as a single mechanism, the module builds it in fourteen sequential sweeps: it defines the primitive temporal, cognitive, and signature objects; establishes a layered dynamical system whose stability enables recurrence detection; assigns signature functions to temporal fibres and computes resonance over their overlap region; defines the threshold behaviour at which recurrence and resonance cross into subjective detectability; and shows how micro-loops, partial manifold folds, ghost-collapse signatures, and fibre rebinding combine into a single hybrid equation, DV. The module closes by extracting its irreducible primitives and integrating the result canonically into the Carlo Field, subject to explicit compatibility and non-interference conditions. This deposit contains two components: Déjà Vu Module (PDF) — the complete fourteen-sweep formalism, typeset with full mathematical notation, from object definitions through canonical field integration. The Carlo Field (interactive HTML visualizer) — a self-contained, browser-based instrument that implements the module's governing equations directly. Eight parameters (state distance, instability, resonance, prediction and memory confidence, flow deviation, loop length, and fold magnitude) drive a live geometric rendering of two overlapping temporal fibres, gated through the same recurrence, resonance, prediction-dominance, stability, loop, fold, ghost-collapse, and rebinding conditions defined in the text, resolving to the hybrid indicator DV in real time. No installation is required; the file opens in any modern browser. This release also includes three lightweight Carlo-Field frameworks (TDE, IEM, CMK) to support researchers in extending temporal, identity, and collapse-adjacent 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. JX - Son of a Gun - Tune Contact: For enquiries or research questions related to this work, email [email protected]