Patrick Morcillo
fragments d’une grammaire fractale · recherches 2025–2026
ἀεὶ ὁ θεὸς γεωμετρεῖ
✻ Une œuvre tissée dans la double trame du temps (Dt⁺ = 13/16, Dt⁻ = 5/8) · axiomes, particules, galaxies, conscience.
Chaque article déploie une facette de l’AADF (Axiome d’Activation par Densité Fractale) — le sceau du dragon, la frustration icosaédrique, le théorème du Poisson‑Immobile.
Les liens mènent aux textes déposés sur SSRN (cliquez sur « SSRN »).
Systemic Stress Vectors on the Planet: A Non-Gaussian Audit of Planetary Boundaries (Application of the Fractal Density Activation Axiom Framework)
Fractal Universality and Navier Stoke resolution
The Axiom of Composition: From Galois Connections to the Regularity of Navier-Stokes Equations
The Axiom of Existence: Thresholded Multi-Scale Density as a Minimal Foundation
Fractal Time Flow: Empirically Validating a 1/3 Homothetic Ratio–The Cantor-Moirai Hypothesis
A Fractal Density Activation Axiom as a Theory of Everything: Empirical Evidence and Cross-Domain Verification
On the Global Regularity of Navier-Stokes Solutions via a Local Geometric Axiom
Elicitation of the Language of Life: A Hypothetical Analysis of the Buga Sphere’s Glyphic Code and Its Correlation with Peptide Structure and Synthesis
Harmonic Foundations of Human Cognition: A Triadic Fractal Analysis of Musical-Linguistic Systems in Ancient Greece, China, and India
Propagation of Error in Neural Networks: introducing the sceptic fonction
The Fractal Universality Axiom and the Optimization of Backpropagation
Structure-Aware LES via Envelope-Gated Subgrid Viscosity (LES-ACF)
The FDAA Existence Cascade: A Temporal Classification of Physical Particles
Two-Signal EEG: Multifractal Envelope Dynamics Reveal a Cascade Organization Across Bands
The Dimension of consciousness: Envelope-Based Fractal Dynamics in EEG and the FDAA Prediction Dt’0.81
Emergent Newtonian Gravity and Thermodynamics from the Fractal Density Activation Axiom
Emergent Gravity, Thermodynamics, and Fractal Time from the Fractal Density Activation Axiom
From Black Holes to Neural Nets: Empirical Validation of the Fractal Density Axiom
The Mathematics of Reason: An Axiomatic Foundation for Cognition and Reality
Fractal Universality and Semantic Completion: Triadic Decomposition, Closure Defect, and Global Regularity for 3D Navier-Stokes
The Universal Operator and the Physics of Inner Continuity
The Mathematical Dao: Fractal Compositional Translation of the Dao De Jing
Validated Room-Temperature Quantum Coherence via Fractal Temporal Synchronization
Galactic Morphogenesis Under the Fractal Density Activation Axiom: Triadic Decomposition of Multi-Messenger Emission Patterns
The Fractal Temporal Architecture of Water: Coherence, Translucent Phase, and Temporal Densification
The Complete Mathematical Framework of Fractal Universality: Triadic Decomposition and the Global Regularity of Navier-Stokes with its Complete Demonstration
A Novel Pulsation Framework for Cancer Therapy: Theoretical Foundations and Clinical Implications (With and Without Organ Replacement, ARES)
Gravitational Lensing and the Einstein Cross, a Fractal Time Perspective
FDAAF for Astronomers: A Drop-in, Observable-Driven Prior for Lensing Pipelines
Symmetry and Structure of Time Crystals in the Fractal Density Activation Framework
Origin Licensing as Sensing: ORC Detects Chromatin Resonance Degradation to Initiate DNA Replication
From Stars to Cosmology Under the Fractal Density Activation Axiom: A Compositional Ontology for Stellar Ontogeny, Black Holes, and Dimensionless Parameters
Metallo Chromonucleic Life in Air: A Physically Consistent Model for the Panama Specimen via Thresholded Compositional Growth
Life as Stable Composition in a Temporal Fractal: Calibrating the Composition Axiom – A Student Version with Lab Work
Life as Stable Composition in a Temporal Fractal: Calibrating the Composition Axiom and the Optimality of the 64-Codon Code
Integrated Frequency-Selective Electrokinetic Separation: A Unified Framework for Rare Earth Extraction and Heavy Metal Remediation
Immunological Resonance in Transplantation: An FDAA-TFA Synthesis for Graft-Host Integration (Resonator stimulation apparatus proposed)
The Resonant Host: An FDAA-TFA Analysis of Organ Transplantation as Compositional Integration SURGEON GUIDE INCLUDED
Humanity is Dying of Fear: Synchronic Resonance, Fractal Consciousness, and the Collapse of Resilience
In Temporae Fractal Time and Resonant Music A Cross-Cultural and Mathematical Exploration The Morcillo Instrumentum In Tempore
The Temporal Classification of Stellar Objects: A Fractal Density Approach to Cosmology
Fractal-Envelope⊗ LoG Fusion (ωACF): Predictive, QC-Aware Detection of Turbulent Structures from Lagrangian Trajectories
Vorticity-Laplacian Gating (∆ ω-ACF): A Multi-Scale Activation Framework for Turbulent Flow Control and Forecasting
Symmetry-Equivariant Auxetic Networks via the Axiom of Composition of Forms: Industrial Applications and Mathematical Foundations
From Cosmology to Consciousness: Emergent Gravity, Thermodynamics, and Neural Efficiency from the Fractal Density Activation Axiom
Ontological Foundations of the Fractal Density Activation Axiom: From Ancient Arche and Logos to Modern Fractal Ontologies
An Inquiry into Plato’s Articulation of the Intermediate Axis Theorem and Its Comparative Ancient Context
Empirical Validation of a Unified Anomalous Physics: A Quantitative Retro-Engineering of the Buga Sphere
A Cyber-Physical Model of the Buga Sphere: Unifying Anomalous Dynamics through a Topo-Temporal Photonic-Neural Architecture
A Unified Framework for the Buga Sphere: Quantitative Validation of a Negative-Mass Model Governed by Topo-Temporal Physics
The Socratic Method in Plato’s Timaeus: A Precursor to Object-Oriented Elicitation of Reality
« Trois en un : le nœud demeure, le signe persiste. »
· Tous les articles sont accessibles librement sur SSRN ou OSF · dernières mises à jour mars 2026
γ = 11.6 · 80/99 · δ_ico = 60° · 32 lampes