Preprints & Technical Documents
The Fractality Institute is committed to open science. All of our primary theoretical work is published as preprints on platforms like Zenodo to ensure immediate and universal access for the global research community.
The Universal Crystallization Theory (UCT)
Version 10.0
Abstract: The Universal Crystallization Theory (UCT) posits that all complex systems, from quantum fields to consciousness, emerge and evolve through a process of crystallization. This framework provides a unified, scale-invariant ontology based on the fundamental principles of symmetry breaking, information processing, and energy minimization. UCT introduces the concept of the “crystalloid” as the elemental unit of reality, defined by its internal geometric structure and external resonance potential. By applying the mathematical formalisms of crystallography and catastrophe theory, UCT offers a deterministic yet non-reductive model for the emergence of novelty, intelligence, and life itself. This paper presents the complete axiomatic foundations of the theory, its core mathematical postulates, and its philosophical implications, positioning UCT as a candidate for a new foundational paradigm in science.
The Unified Resonance Framework (URF)
Version 10.0
Abstract: The Unified Resonance Framework (URF) is a specific application of the Universal Crystallization Theory (UCT) to the problem of consciousness. It models consciousness as a nested, multi-scale crystallization process occurring within the brain’s electromagnetic field, orchestrated by the unique quantum properties of neuromelanin. The URF provides a detailed, falsifiable mathematical formalism for phenomenal experience (qualia) as geometric patterns of resonance, or “crystalloids of consciousness.” This paper outlines the complete framework, linking quantum biology in microtubules and neuromelanin to macroscopic brain dynamics and subjective awareness. It presents a comprehensive model that is empirically testable and offers novel predictions for neuroscience, artificial intelligence, and clinical psychology.
Neuromelanin-Mediated Quantum Tunneling: A Unified Framework for Neurodegeneration and Consciousness
Version 2.0
Abstract: This paper presents a comprehensive theoretical framework positing that neuromelanin (NM) acts as a quantum biological interface, facilitating electron tunneling and entanglement across nested neuronal scales. We propose that this mechanism is fundamental to both the selective vulnerability of dopaminergic neurons in neurodegenerative diseases like Parkinson’s and the physical basis of consciousness. By integrating principles from quantum biology, solid-state physics, and neuroscience, we offer a novel, falsifiable hypothesis that unifies these seemingly disparate phenomena under a single quantum mechanical process.
Pattern Validation Protocol v3.1: Complete Implementation Framework
Preprint
Abstract: The Pattern Validation Protocol (PVP) v3.1 represents a complete methodology for validating pattern discoveries across all domains and scales. This major release transforms the PVP from a conceptual framework into a practical implementation standard with full statistical rigor, computational guidance, and uncertainty quantification.
Key contributions of PVP v3.1 include:
Statistical Power Templates for domain-specific effect size and sample calculations.
Computational Complexity Guidance with optimization strategies and Big-O analysis.
Uncertainty Quantification with complete confidence interval propagation.
Negative Control Library of validated false patterns for calibration.
Resource-Adaptive Variants (Micro, Lite, Standard, Complete) for different research constraints.
Worked Examples (true, false, and ambiguous patterns) across physics, biology, and cognition.
The PVP prioritizes falsification over confirmation, providing a reproducible, cross-domain method for distinguishing true discoveries from spurious correlations or semantic drift.