Topological quantum number
View article: A Topological Framework for Collider Phenomenology: Reanalyzing LHC Null Results via the Δ-Field Theory
A Topological Framework for Collider Phenomenology: Reanalyzing LHC Null Results via the Δ-Field Theory Open
Recent null results in the search for Beyond Standard Model (BSM) resonances at the Large Hadron Collider (LHC) are often interpreted as limitations of experimental sensitivity or as constraints on established theoretical frameworks. We ar…
View article: The Essence of Emergent Origins B: Verification of Non-Abelian Topological Order Emergence Based on Three Criteria
The Essence of Emergent Origins B: Verification of Non-Abelian Topological Order Emergence Based on Three Criteria Open
This paper systematically verifies the emergence of SU(2)1 non-Abelian topological order through three computable criteria: structural stability, information efficiency, and dynamical accessibility. In non-Abelian systems, the traditional …
View article: Theory Ñ: Precision Cosmology from Holographic Topological Invariants
Theory Ñ: Precision Cosmology from Holographic Topological Invariants Open
We present Theory Ñ, a non-perturbative framework for quantum gravity in whichall relevant cosmological scales emerge from topological invariants of F-theorycompactifications holographically dual to Matrix Quantum Mechanics (MQM).Spacetime…
View article: Theory Ñ: Precision Cosmology from Holographic Topological Invariants
Theory Ñ: Precision Cosmology from Holographic Topological Invariants Open
We present Theory Ñ, a non-perturbative framework for quantum gravity in whichall relevant cosmological scales emerge from topological invariants of F-theorycompactifications holographically dual to Matrix Quantum Mechanics (MQM).Spacetime…
View article: The Essence of Emergent Origins B: Verification of Non-Abelian Topological Order Emergence Based on Three Criteria
The Essence of Emergent Origins B: Verification of Non-Abelian Topological Order Emergence Based on Three Criteria Open
This paper systematically verifies the emergence of SU(2)1 non-Abelian topological order through three computable criteria: structural stability, information efficiency, and dynamical accessibility. In non-Abelian systems, the traditional …
View article: The Essence of Emergent Origins D: A Study on the Emergence Criteria of Topological Orders in Lie Algebra Hierarchical Structures
The Essence of Emergent Origins D: A Study on the Emergence Criteria of Topological Orders in Lie Algebra Hierarchical Structures Open
This paper establishes a universal theoretical framework for the emergence of topological orders in Lie algebra hierarchical structures based on three fundamental criteria: structural stability, information efficiency, and dynamical access…
View article: A Topological Framework for Collider Phenomenology: Reanalyzing LHC Null Results via the Δ-Field Theory
A Topological Framework for Collider Phenomenology: Reanalyzing LHC Null Results via the Δ-Field Theory Open
Recent null results in the search for Beyond Standard Model (BSM) resonances at the Large Hadron Collider (LHC) are often interpreted as limitations of experimental sensitivity or as constraints on established theoretical frameworks. We ar…
View article: Spiral Quantum Geometry (SQG): A Spiral-Curvature Framework for Quantum Structures
Spiral Quantum Geometry (SQG): A Spiral-Curvature Framework for Quantum Structures Open
SQG introduces a geometric reformulation of quantum behavior using spiral curvature, phase topology and coherence mapping.The model provides alternative representations for wavefunction structure, transition behavior, entanglement coherenc…
View article: The Δ-Field Framework: Topological Phase Transitions from Absolute Void to Matter and the Dark Sector
The Δ-Field Framework: Topological Phase Transitions from Absolute Void to Matter and the Dark Sector Open
This paper presents a unified theoretical framework, the Theory of Universal Generation, describing the origin of the universe and physical laws from a pre-geometric state called "Absolute Void" (Null*). We introduce a topological phase tr…
View article: Topological Catalysis via Information Bottleneck From Kinematic Aliasing to Controlled Fusion
Topological Catalysis via Information Bottleneck From Kinematic Aliasing to Controlled Fusion Open
We present a unified framework combining Ontological ResolutionTheory (ORT) with the quantum dynamics of topological vortexconfigurations. The central result is that nuclear fusion can be catalyzednot by compressing matter to extreme densi…
View article: The Essence of Emergent Origins D: A Study on the Emergence Criteria of Topological Orders in Lie Algebra Hierarchical Structures
The Essence of Emergent Origins D: A Study on the Emergence Criteria of Topological Orders in Lie Algebra Hierarchical Structures Open
This paper establishes a universal theoretical framework for the emergence of topological orders in Lie algebra hierarchical structures based on three fundamental criteria: structural stability, information efficiency, and dynamical access…
View article: Spiral Quantum Geometry (SQG): A Spiral-Curvature Framework for Quantum Structures
Spiral Quantum Geometry (SQG): A Spiral-Curvature Framework for Quantum Structures Open
SQG introduces a geometric reformulation of quantum behavior using spiral curvature, phase topology and coherence mapping.The model provides alternative representations for wavefunction structure, transition behavior, entanglement coherenc…
View article: The Δ-Field Framework: Topological Phase Transitions from Absolute Void to Matter and the Dark Sector
The Δ-Field Framework: Topological Phase Transitions from Absolute Void to Matter and the Dark Sector Open
This paper presents a unified theoretical framework, the Theory of Universal Generation, describing the origin of the universe and physical laws from a pre-geometric state called "Absolute Void" (Null*). We introduce a topological phase tr…
View article: Topological Catalysis via Information Bottleneck From Kinematic Aliasing to Controlled Fusion
Topological Catalysis via Information Bottleneck From Kinematic Aliasing to Controlled Fusion Open
We present a unified framework combining Ontological ResolutionTheory (ORT) with the quantum dynamics of topological vortexconfigurations. The central result is that nuclear fusion can be catalyzednot by compressing matter to extreme densi…
View article: The Essence of Emergent Origins F: A Study on the Emergence Criteria and Characteristics of Exceptional Lie Group Topological Orders
The Essence of Emergent Origins F: A Study on the Emergence Criteria and Characteristics of Exceptional Lie Group Topological Orders Open
This paper, based on the three fundamental criteria of structural stability, information efficiency, and dynamical accessibility, systematically investigates the emergence characteristics of exceptional Lie group topological orders, includ…
View article: The Essence of Emergent Origins F: A Study on the Emergence Criteria and Characteristics of Exceptional Lie Group Topological Orders
The Essence of Emergent Origins F: A Study on the Emergence Criteria and Characteristics of Exceptional Lie Group Topological Orders Open
This paper, based on the three fundamental criteria of structural stability, information efficiency, and dynamical accessibility, systematically investigates the emergence characteristics of exceptional Lie group topological orders, includ…
View article: The Essence of Emergent Origins E: A Study on the Emergence Criteria and Characteristics of High-Dimensional Lie Group Topological Orders
The Essence of Emergent Origins E: A Study on the Emergence Criteria and Characteristics of High-Dimensional Lie Group Topological Orders Open
This paper systematically investigates the emergence characteristics and criteria of high-dimensional Lie group topological orders. Based on the first principles of topological quantum field theory, quantum information theory, and nonequil…
View article: Probing chiral topological states with permutation defects
Probing chiral topological states with permutation defects Open
The hallmark of two-dimensional chiral topological phases is the existence of anomalous gapless modes at the spatial boundary. Yet, the manifestation of this edge anomaly within the bulk ground-state wavefunction itself remains only partia…
View article: Joint Supplementary Material to ChronoShell Hypothesis and Topological Vacuum Draining & Bubble Universe Nucleation Hypothesis
Joint Supplementary Material to ChronoShell Hypothesis and Topological Vacuum Draining & Bubble Universe Nucleation Hypothesis Open
This technical note documents a strict mathematical and structural correspondence observed betweentwo cosmological frameworks: the ChronoShell Hypothesis (10.5281/zenodo.17501052) and the Topological Vacuum DrainingHypothesis (10.5281/zeno…
View article: The Essence of Emergent Origins E: A Study on the Emergence Criteria and Characteristics of High-Dimensional Lie Group Topological Orders
The Essence of Emergent Origins E: A Study on the Emergence Criteria and Characteristics of High-Dimensional Lie Group Topological Orders Open
This paper systematically investigates the emergence characteristics and criteria of high-dimensional Lie group topological orders. Based on the first principles of topological quantum field theory, quantum information theory, and nonequil…
View article: Joint Supplementary Material to ChronoShell Hypothesis and Topological Vacuum Draining & Bubble Universe Nucleation Hypothesis
Joint Supplementary Material to ChronoShell Hypothesis and Topological Vacuum Draining & Bubble Universe Nucleation Hypothesis Open
This technical note documents a strict mathematical and structural correspondence observed betweentwo cosmological frameworks: the ChronoShell Hypothesis (10.5281/zenodo.17501052) and the Topological Vacuum DrainingHypothesis (10.5281/zeno…
View article: Probing chiral topological states with permutation defects
Probing chiral topological states with permutation defects Open
The hallmark of two-dimensional chiral topological phases is the existence of anomalous gapless modes at the spatial boundary. Yet, the manifestation of this edge anomaly within the bulk ground-state wavefunction itself remains only partia…
View article: The Essence of Emergent Origins C: A Study on the Emergence Criteria of Lie Group Topological Order
The Essence of Emergent Origins C: A Study on the Emergence Criteria of Lie Group Topological Order Open
This paper establishes an emergent theoretical framework for Lie group topological orders with continuous symmetry, based on computable criteria. Traditionally, research on the emergence of topological order has primarily focused on discre…
View article: The Essence of Emergent Origins B: Verification of Non-Abelian Topological Order Emergence Based on Three Criteria
The Essence of Emergent Origins B: Verification of Non-Abelian Topological Order Emergence Based on Three Criteria Open
This paper systematically verifies the emergence of SU(2)1 non-Abelian topological order through three computable criteria: structural stability, information efficiency, and dynamical accessibility. In non-Abelian systems, the traditional …
View article: The Essence of Emergent Origins C: A Study on the Emergence Criteria of Lie Group Topological Order
The Essence of Emergent Origins C: A Study on the Emergence Criteria of Lie Group Topological Order Open
This paper establishes an emergent theoretical framework for Lie group topological orders with continuous symmetry, based on computable criteria. Traditionally, research on the emergence of topological order has primarily focused on discre…
View article: The Electron from a Pencil Case: How the Möbius Strip Taught a Particle to Have Spin 1/2
The Electron from a Pencil Case: How the Möbius Strip Taught a Particle to Have Spin 1/2 Open
Is the electron really a point particle — or a hidden topological machine?This work proposes a geometric model in which a Möbius strip, a vortex cycle, and a boundary of spacetime itself conspire to produce all quantum properties of the el…
View article: Topological Shielding in Cuprates: A Vacuum-Geometry Mechanism for High-Tc Superconductivity via Chern-Simons Linking
Topological Shielding in Cuprates: A Vacuum-Geometry Mechanism for High-Tc Superconductivity via Chern-Simons Linking Open
High-Temperature Superconductivity (HTS) in cuprate materials remains one of the most significant unsolved problems in condensed matter physics. The standard BCS theory, relying on phonon-mediated pairing, fails to explain critical tempera…
View article: The Geometry of Decay: Deriving the Weak Interaction and Flavor Switching from Topological Tunneling in the Recursive Flux
The Geometry of Decay: Deriving the Weak Interaction and Flavor Switching from Topological Tunneling in the Recursive Flux Open
This monograph extends the General Static-Dynamic Recursive Information Space (GSDRIS) framework to resolve the geometric origin of the Weak Nuclear Force and Flavor Switching. In the Standard Model, beta decay ($n \to p + e^- + \bar{\nu}_…
View article: The Topological Ground State: Deriving Absolute Electron Stability from Homotopy Constraints in Unified Field Dynamics
The Topological Ground State: Deriving Absolute Electron Stability from Homotopy Constraints in Unified Field Dynamics Open
The absolute stability of the electron is the cornerstone of chemistry and atomic physics. The current experimental lower bound on the electron lifetime is tau > 6.6 x 10^28 years. In the Standard Model, this stability is guaranteed by the…
View article: Holistic Baryon Topology: Resolving the Proton Spin Crisis via Global Solitonic Constraints
Holistic Baryon Topology: Resolving the Proton Spin Crisis via Global Solitonic Constraints Open
The "Proton Spin Crisis"—the experimental discovery that valence quarks contribute only about 30% to the proton's total spin—remains a significant challenge for the constituent quark model. Standard Quantum Chromodynamics (QCD) attempts to…