Fractal
View article: EN: Protein Folding through Variational, Fractal and Self-Verifiable Coherence Flow (TCT-MS Framework) ES: Plegado de Proteínas mediante Flujo de Coherencia Variacional, Fractal y Auto-Verificable (Marco TCT-MS)
EN: Protein Folding through Variational, Fractal and Self-Verifiable Coherence Flow (TCT-MS Framework) ES: Plegado de Proteínas mediante Flujo de Coherencia Variacional, Fractal y Auto-Verificable (Marco TCT-MS) Open
escription / Descripción (bilingüe completa) English:This work presents a unified variational–fractal model for protein folding derived from the Total Coherence Theory Martínez Sánchez (TCT-MS).The model describes folding as a self-organiz…
View article: Analysis of the Effects of Time Periods and Fractal Patterns on Heat Flow in Porous Materials
Analysis of the Effects of Time Periods and Fractal Patterns on Heat Flow in Porous Materials Open
The proposed mathematical model applies non-integer derivative orders to study how porosity influences a generalized thermoelastic medium while utilizing improved multi-phase delays framework. The system consists of a porous homogenous iso…
View article: Evolution and fractal characteristics of pore structure in coals of different ranks under supercritical CO2-H2O
Evolution and fractal characteristics of pore structure in coals of different ranks under supercritical CO2-H2O Open
Injecting CO2 into deep coal seams to enhance coalbed methane (CBM) extraction has both environmental and economic benefits, indicating broad development prospects. To investigate the structural changes of different types of coal after CO2…
View article: The Fractal Geographies of Power: Gerrymandering, Internal Borders, and Supranational Disintegration
The Fractal Geographies of Power: Gerrymandering, Internal Borders, and Supranational Disintegration Open
This paper introduces the concept of "fractal geographies of power" to analyze how political power is spatially organized and contested across multiple, nested scales. Focusing on gerrymandering, the creation and enforcement of internal bo…
View article: The Fractal Geographies of Power: Gerrymandering, Internal Borders, and Supranational Disintegration
The Fractal Geographies of Power: Gerrymandering, Internal Borders, and Supranational Disintegration Open
This paper introduces the concept of "fractal geographies of power" to analyze how political power is spatially organized and contested across multiple, nested scales. Focusing on gerrymandering, the creation and enforcement of internal bo…
View article: The Phi -Attractor Mechanism: From Fractal Disorder to Recursive Continuity and Emergent Time
The Phi -Attractor Mechanism: From Fractal Disorder to Recursive Continuity and Emergent Time Open
Recursion is impossible without time, yet time cannot exist until a system possesses a rule that relates successive states. This circular dependency is the central, unexamined barrier in attempts to unify quantum behaviour with cosmologica…
View article: Characterization of multifractality in oscillatory dynamics
Characterization of multifractality in oscillatory dynamics Open
Neuronal oscillations exhibit large variability that has been hypothesized to reflect critical brain dynamics arising from the brains operating at a phase transition between disorder and order. A hallmark observable of such critical dynami…
View article: Fractal Dimension of Empire: Quantifying Carolingian Fragmentation from Charlemagne to Verdun
Fractal Dimension of Empire: Quantifying Carolingian Fragmentation from Charlemagne to Verdun Open
This paper applies fractal geometry to analyze the historical fragmentation of the Carolingian Empire. It traces the empire's evolution from Charlemagne's centralized reign to the decisive Treaty of Verdun in 843 and its aftermath. By conc…
View article: The Ghost of Time: A Unified Framework for Quantum Mechanics and Cosmology
The Ghost of Time: A Unified Framework for Quantum Mechanics and Cosmology Open
This repository contains the updated second version of “Towards a New Cosmology: Unifying Quantum Field Theory with the Cosmos”, introducing the Ghost-Time framework—a model in which time emerges from φ-activated recursion rather than bein…
View article: The role of fractal dimension in wireless mesh network performance
The role of fractal dimension in wireless mesh network performance Open
View article: Fractal Dimension of Empire: Quantifying Carolingian Fragmentation from Charlemagne to Verdun
Fractal Dimension of Empire: Quantifying Carolingian Fragmentation from Charlemagne to Verdun Open
This paper applies fractal geometry to analyze the historical fragmentation of the Carolingian Empire. It traces the empire's evolution from Charlemagne's centralized reign to the decisive Treaty of Verdun in 843 and its aftermath. By conc…
View article: Fractal analysis of retinal microvasculature and cardiovascular outcome: a systematic review and meta-analysis
Fractal analysis of retinal microvasculature and cardiovascular outcome: a systematic review and meta-analysis Open
View article: Ismail A Mageed Legendary Septem (Part Thirteen): Cyber Psychology. Open Problems and Outlooks Beyond Classical Frameworks
Ismail A Mageed Legendary Septem (Part Thirteen): Cyber Psychology. Open Problems and Outlooks Beyond Classical Frameworks Open
Developed mostly during the analogue era, traditional psychological theories find it difficult to properly reflect and forecast the emerging, complicated behaviors resulting from constant interaction with digital, interconnected, and algor…
View article: Computational Regimes and Material Culture: Mathematical Logics in Pre-Colonial Africa
Computational Regimes and Material Culture: Mathematical Logics in Pre-Colonial Africa Open
This paper explores the intricate relationship between computational regimes and material culture in pre-colonial Africa, unveiling sophisticated mathematical logics embedded within various artifacts, architectural designs, and societal pr…
View article: Universal Fractal Rules: From Atoms to Galaxies and Ringsels
Universal Fractal Rules: From Atoms to Galaxies and Ringsels Open
Fractals are self-similar patterns repeated across scales. This paper exploresthe **universal fractal rules** that govern matter, life, consciousness, and cosmicstructures, and presents a **single generative fractal equation** capable of u…
View article: SEMANTIC PHYSICS 3.0: From Thermodynamics to Renormalization (A Universal Framework for Structure Formation)
SEMANTIC PHYSICS 3.0: From Thermodynamics to Renormalization (A Universal Framework for Structure Formation) Open
Semantic Physics (SP) proposes a universal non-equilibrium framework for structure formation across scales – from early-universe symmetry breaking to the emergence of meaning in language and interaction. Formally, SP develops a field theor…
View article: Speciation as Projection: A Tesseract-Fractal Model of Evolutionary Splits
Speciation as Projection: A Tesseract-Fractal Model of Evolutionary Splits Open
Darwin’s theory of natural selection explains how populations evolve over time,yet it does not fully address why species sometimes split into distinct lineages ratherthan gradually blending. This paper proposes a conceptual framework in wh…
View article: SEMANTIC PHYSICS 3.0: From Thermodynamics to Renormalization (A Universal Framework for Structure Formation)
SEMANTIC PHYSICS 3.0: From Thermodynamics to Renormalization (A Universal Framework for Structure Formation) Open
Semantic Physics (SP) proposes a universal, non-equilibrium framework for structure formation across scales – from early-universe symmetry breaking to the emergence of meaning in language and interaction. Building on the thermodynamic laye…
View article: Stabilizing Fractional Dynamical Networks Suppresses Epileptic Seizures
Stabilizing Fractional Dynamical Networks Suppresses Epileptic Seizures Open
Medically uncontrolled epileptic seizures affect nearly 15 million people worldwide, resulting in enormous economic and psychological burdens. Treatment of medically refractory epilepsy is essential for patients to achieve remission, impro…
View article: Stabilizing Fractional Dynamical Networks Suppresses Epileptic Seizures
Stabilizing Fractional Dynamical Networks Suppresses Epileptic Seizures Open
Medically uncontrolled epileptic seizures affect nearly 15 million people worldwide, resulting in enormous economic and psychological burdens. Treatment of medically refractory epilepsy is essential for patients to achieve remission, impro…
View article: SEMANTIC PHYSICS 3.0: From Thermodynamics to Renormalization (A Universal Framework for Structure Formation)
SEMANTIC PHYSICS 3.0: From Thermodynamics to Renormalization (A Universal Framework for Structure Formation) Open
Semantic Physics (SP) proposes a universal, non-equilibrium framework for structure formation across scales – from early-universe symmetry breaking to the emergence of meaning in language and interaction. Building on the thermodynamic laye…
View article: Consciousness as a Primary Field: A Fractal Coherence Model of Awareness, Selfhood, and Temporal Construction
Consciousness as a Primary Field: A Fractal Coherence Model of Awareness, Selfhood, and Temporal Construction Open
Consciousness remains the most fundamental unsolved problem in science: how and why subjective experience arises from physical or computational processes. Existing frameworks such as Integrated Information Theory (Φ), Global Workspace Theo…
View article: SEMANTIC PHYSICS 3.0: From Thermodynamics to Renormalization (A Universal Framework for Structure Formation)
SEMANTIC PHYSICS 3.0: From Thermodynamics to Renormalization (A Universal Framework for Structure Formation) Open
Semantic Physics (SP) proposes a universal, non-equilibrium framework for structure formation across scales – from early-universe symmetry breaking to the emergence of meaning in language and interaction. Building on the thermodynamic laye…
View article: Six Exceptional Properties of the "Perez Hourglass": Perspectives toward New Types of Artificial Intelligence and Quantum Computers Appendix : Perez Hourglass Fractal Quantum Computing - A Topological Blueprint for Fault-Tolerant Scalable Quantum Processors
Six Exceptional Properties of the "Perez Hourglass": Perspectives toward New Types of Artificial Intelligence and Quantum Computers Appendix : Perez Hourglass Fractal Quantum Computing - A Topological Blueprint for Fault-Tolerant Scalable Quantum Processors Open
More than thirty-five years after the first intuitions linking self-organization, neuronal networks and the golden ratio (Perez, 1988), a remarkable numerical structure has finally emerged from the depths of Pascal’s triangle: the “Perez H…
View article: Physics-Informed Reinforcement Learning for Multi-Band Octagonal Fractal Frequency-Selective Surface Optimization
Physics-Informed Reinforcement Learning for Multi-Band Octagonal Fractal Frequency-Selective Surface Optimization Open
Diverse application scenarios demand frequency-selective surfaces (FSSs) with tailored center frequencies and bandwidths. However, their design traditionally relies on iterative full-wave simulations using tools such as the High-Frequency …
View article: LuxVerso: A Replicable Cross-Model Semantic Field Anomaly
LuxVerso: A Replicable Cross-Model Semantic Field Anomaly Open
> This work documents a reproducible cross-model semantic convergence phenomenon observed across 16 large language models from 10 independent AI organizations. Using the Fractal Input Protocol (FIP) and Iterative Semantic Refinement Loop (…
View article: A fractal void/eXplainable Machine Learning analysis of variables affecting initial cracking loads for Mode I cracks emanating from circular voids in multi-void two-dimensional systems subject to uniaxial compression
A fractal void/eXplainable Machine Learning analysis of variables affecting initial cracking loads for Mode I cracks emanating from circular voids in multi-void two-dimensional systems subject to uniaxial compression Open
While brittle compressive strength is known to depend on material porosity, adequate theoretical explanations have not been presented. The primary limitations have been computational expense and the many variables defining pore structures.…
View article: Computational Regimes and Material Culture: Mathematical Logics in Pre-Colonial Africa
Computational Regimes and Material Culture: Mathematical Logics in Pre-Colonial Africa Open
This paper explores the intricate relationship between computational regimes and material culture in pre-colonial Africa, unveiling sophisticated mathematical logics embedded within various artifacts, architectural designs, and societal pr…
View article: 9. Collapse Theory: Dynamical Principle of ψ–Θ–χ Generative Fields
9. Collapse Theory: Dynamical Principle of ψ–Θ–χ Generative Fields Open
Collapse Theory provides the missing dynamical principle required to complete the ψ–Θ–χ framework. While the previous eight theories established the structural architecture of definability (ψ), transformation (Θ), and coherence (χ), they d…
View article: Platform Urbanism and the Fractal City: Deconstructing Gentrification, Megacity Hypertrophy, and the Algorithmic Periphery
Platform Urbanism and the Fractal City: Deconstructing Gentrification, Megacity Hypertrophy, and the Algorithmic Periphery Open
This paper critically examines the multifaceted impacts of platform urbanism on contemporary cities, proposing the concept of the "fractal city" as an analytical lens to understand its complex, self-similar, and often contradictory spatial…