Fractal Conscious Perception: Multiscale Morphology, Statistical Self-Similarity, and Route-Specific Neural Reinstatement

Abstract

# Provider Description Microscopic changes in cells and connections can later contribute to a distributed memory, perception, or imagined scene. This paper asks how relations encoded at one physical scale can constrain patterns at another scale without requiring the brain to enlarge a microscopic trace into a literal copy. It separates dendritic morphology, network topology, temporal dynamics, and functional reinstatement, then asks whether finite-range scaling measurements add predictive or causal information beyond ordinary morphology, topology, activity history, oscillatory variables, single-scale models, and flexible nonlinear alternatives. The paper develops the historical Self-Aware Networks proposal called FRACTAL Conscious Perception as a testable cross-scale transformation rather than a claim that the brain is one ideal mathematical fractal. Four generations of synthetic applications test estimators, graph and temporal representations, capacity differences, route erasure, invertible transformations, exact matched restoration, nonspecific restoration, no-route controls, decoy shifts, and simpler single-scale alternatives. The record is deliberately mixed. Earlier systems contain favorable planted results, reversals, nulls, failed compensation, and a recovery statistic that could reward destructive collapse. A later frozen route-identification system passes all ten declared transformation, erasure, restoration, and refusal gates while still allowing raw ridge to perform slightly better and the correct single-scale model to win decisively when only one scale carries the target. The release includes the manuscript, six figures, frozen contracts, source and claim ledgers, raw and summary outputs, deterministic replays, tests, formal-verification receipts, and exact hashes. Seventeen Lean theorems establish bounded algebraic, rotation, and route-erasure invariants. They do not establish a biological neural mechanism or conscious experience. The applications use disclosed synthetic generators and do not constitute neural recordings, clinical evidence, or therapeutic guidance. The future biological evaluation remains sealed and unopened. ## Keywords fractal neuroscience; dendritic morphology; neural reinstatement; finite-range scaling; route identification; memory; connectome; multifractal dynamics; Self-Aware Networks; reproducibility