Regularity Structures for Interacting Photon Fields
We adapt Mr Martin Hairer’s well written theory of regularity structures to a class of stochastic Maxwell-type PDEs modeling interacting photon fields with nonlinear coupling and additive ...
A Geometric Langlands Correspondence for Photonic Gauge Sectors
We propose a photonic adaptation of the Geometric Langlands program: a conjectural equivalence between categories associated to moduli of G-bundles with photonic boundary/coupling data and a ...
Photon Cohomology and Higher Gerbes: Topological Invariants of Photonic Sectors
We introduce Photon Cohomology, a differential cohomology theory tailored to classify photonic bundle data comprising ordinary U(1)-connections, higher gerbe potentials and multi-form ...
Functorial Renormalization: A Categorical Framework for Scale Transformations
We propose a categorical formulation of renormalization in which scale changes are encoded as functors between categories that represent physical models at distinct resolution scales.
A Geometric Photon Mass-Gap Conjecture: Spectral Gaps for Photonic Operators
We formulate a precise Geometric Photon Mass-Gap Conjecture asserting that Laplace-type operators modelling photonic dynamics on compact manifolds with photonic coupling admit a strictly ...
Geometric Averaging and Deterministic Limits for Stochastically Renormalized Field Equations
We present a general averaging theorem showing that a family of stochastically renormalized field equations converges to a deterministic effective PDE obtained by geometric averaging under ...
The Binary–Quantum Bridge for AGI: Information-Preserving Differentiable Programs with a Causal Objective
We formalize a bridge between continuous learning and discrete execution. A unitary executor evolves working registers while a diamond-norm binary boundary enforces classical exactness at ...
Evaluating Large Language Model Meta-Cognition via the Advanced AGI-AI Self-Awareness Test (AISA-T)
This work introduces the AISA-T, a novel intelligence test designed for both AI and AGI systems. It evaluates meta-awareness, inner traceability, and context-sensitive reasoning by having the ...
A Follow-up Work to AISA-T: Elucidating the Human Evaluation Rubric for AGI Self-Awareness
This paper serves as a crucial addendum to the AISA-T study, detailing a comprehensive rubric for human evaluation of AGI responses. It formalizes the methodology for assessing AI self-awareness ...
Quantum Eigenstate Dynamics for Artificial General Intelligence Synthesis
This paper proposes a model for Artificial General Intelligence (AGI) based on quantum eigenstate dynamics. It suggests constructing AGI states as superpositions of quantum eigenstates, allowing ...
Applying Villani to understand Cosmic Gas: Kinetics for Classical and Quantum Gas Dynamics: On the Emergence of Quantum Turbulence in Cosmic Media
This paper unifies kinetic properties of classical gases with quantum transport properties. It introduces a "quantum-corrected Boltzmann equation" that incorporates bosonic statistics into ...
After the Higgs: Missed Opportunities in Gauge Vacuum Diagnostics and the Photonic Sector
This paper explores the implications of the Higgs boson discovery, focusing on potential missed opportunities in understanding the gauge vacuum and its interaction with the photonic sector. It ...
The Animate and the Inanimate in Pure Mathematics: A Modern Reappraisal of William James Sidis's Underrated Viewpoint
This paper re-examines William James Sidis’s 1925 work, which proposed a division of the universe into 'animate' regions where entropy locally decreases and 'inanimate' regions where it ...
Identifying Theoretical Gaps in Hawking's Black Hole Radiation Model in Light of Modern Photonics and Higher-Dimensional Photon Propagation : Photon-Coupled Soft Hair and Higher-Dimensional Photon Channels - A Critical Extension of the Soft-Hair Formalism
This paper critically re-examines Stephen Hawking’s black hole radiation model, highlighting a theoretical gap related to photon propagation in higher-dimensional spacetimes. It proposes an ...
Bose’s Photonic Mathematics Revisited: Entropic Optimization, Polylogarithmic Asymptotics, and Categorical Coherence from Symmetric Functions to ZX-Calculus
This paper re-examines S. N. Bose’s foundational work on photon statistics, offering a deeper and reframed perspective. It provides a full Lagrange-multiplier optimization of entropy and ...
Integrating Circadian Rhythm and Neurobiology in Precision Medicine: A Novel Approach for Treating Severe Autism Through the Exploration of Time Cells and Genetic Mechanisms
This paper proposes a precision medicine framework for treating severe autism by integrating circadian biology and neurobiology. It explores the critical role of circadian rhythms and time ...
« Le Roi Est Nu »: Why the Standard Model is an Immature Approximation Masquerading as Law
In this intense work, we strip the Standard Model of Particle Physics of its undeserved reverence, exposing it as a theoretically fragile, ad-hoc construction collapsing under the ...
Toward the Analytic Resolution of the Variance-AM-GM Inequality: The Role of Taylor Expansion and Asymptotic Analysis
This work provides the direct analytic proof and refinement of the Variance-AM-GM Inequality Conjecture. The best possible universal constant is established as Cn = 1/2.
An Information-Geometric Program for AM-GM Stability: Log-Sobolev Bounds and Variance Control
This work proposes and develops an information-geometric program to establish a quantitative stability bound for the Arithmetic Mean – Geometric Mean (AM-GM) inequality.
Directed Evolution of the BpsA Carrier Protein Domain for Enhanced Activation by Non-Cognate 4’-Phosphopantetheinyl Transferases Implications for ASD Drug Discovery
This paper explores a novel approach to Autism Spectrum Disorder (ASD) drug discovery through the directed evolution of the BpsA carrier protein domain. By enhancing its activation by ...
Topoi for Photons: A Categorical Formulation of Electromagnetic Duality
We propose a categorical formulation of electromagnetic (Maxwell) duality by identifying a class of Grothendieck topoi whose internal cohomological data encode electric and magnetic sectors and ...
Fusion Advances: On the Mirzakhani Manifold and Moduli Space Dynamics as a Geometric Ansatz for Transport Suppression in Magnetic Confinement
This experimental work outlines a new vision investigating prolonged fusion. We propose a geometric perspective where geometric structure in reduced models can systematically suppress ...
Cohomological Electrodynamics: On the Derived Pushforward of Bulk Gauge Fields and the Photonic Continuity Principle
This manuscript provides the rigorous sheaf-theoretic derivation of the photonic continuity law. We demonstrate that the apparent dimensional mismatch resolves when treated within the derived ...
Solutions for Photonic Approaches to Fusion Energy
This paper presents a novel perspective on fusion energy research by focusing on the role of photons. It develops a mathematical framework to analyze fusion problems through photon ...
On prolonged fusion energy: Hypocoercive Closure for a Kinetic Langevin Model with Stochastic Forcing
Motivated by the kinetic description of turbulent plasmas, we study a linear kinetic Langevin model with collisional relaxation and stochastic forcing, presenting a robust energy method that ...
Solving Fusion Energy through Cohomological Magnetohydrodynamics: Topological Suppression of Anomalous Transport and the Asymptotic Stability of Fusion Plasmas
We propose that instabilities in fusion plasmas are manifestations of non-unitary flux transgression into a higher-dimensional bulk. We reformulate plasma equilibrium equations within ...
Quantum Sector-Gate Dynamics for Artificial General Intelligence
This paper extends the framework of Quantum Eigenstate Dynamics for AGI Synthesis by introducing a sector-gate formalism. It posits that the total Hilbert space of an AGI can be decomposed into ...
On a Newfound Panorama in Geometry and Category Theory: A Tribute to Grothendieck
This paper pays homage to Alexander Grothendieck, revisiting his foundational contributions to topos theory, motives, and schemes through the lens of modern mathematics. It explores how ...
A new field: Stochastic–Dynamical Interactions: A Hairer–Mirzakhani Framework for Photon Dynamics
This paper proposes a new field of study that unites stochastic partial differential equations (SPDEs) with hyperbolic flows on moduli spaces of Riemann surfaces, building on the works of ...
On Higher-Dimensional Soul Perturbations via Higgs-Photon Couplings
This paper extends the photon soul theorem to higher-dimensional geometries, proposing that the electromagnetic field can acquire novel topological couplings to the Higgs sector. It ...
Critical Divergence in Holographic Foundations: Conflict with the French School, Ill-posed Relation with Negative Effective Mass, and the Higgs
We present a constructive critique of top-down cosmology and holographic frameworks, emphasizing precise conditions under which contour deformations and complex saddle prescriptions can break ...
A Fiber-Integration Extension of Maxwell's Equations on the Boundary of a Holographic Bulk inspired by Hertog
We consider a relaxation motivated by holographic/bulk-boundary ideas where observed 4D spacetime is the base of a fibration. A concrete transgression current is defined by integration along the ...
Interferometric Sector-Gate Quantum Dynamics for AGI: Parity-Driven Tunneling First and the Case for a Topological Core
This paper synthesizes Sector-Gate and Eigenstate Dynamics for AGI into an interferometric framework. It proposes a "Tunneling-First Principle," suggesting that optimal learning capacity ...
Interferometric Sector-Gate Nervous Systems: Orchestrating AGI via Parity-Fuse Quantum Primitives and Deterministic Java Injection
This paper synthesizes Sector-Gate and Eigenstate Dynamics for AGI into an interferometric framework. It proposes a "Tunneling-First Principle," suggesting that optimal learning capacity ...
An Open Letter to CERN: On a Continuity Law for Photonic Propagation Across Dimensional Extensions of Spacetime
This document requests focused attention on what appears to be a physically admissible, symmetry-compatible, and experimentally testable extension of Maxwell electrodynamics coupling ...
Kinematics of the Sol-Soror Binary: The Gravitational Bond and the Twin Sister’s Cycle
This research paper provides a rigorous mathematical and theoretical formulation in physics, astronomy, kinematics, investigating structural field equations, invariant bounds, and fundamental properties established by Pe...
Mapping the Mind: Techniques for Structuring and Interpreting Grothendieck’s Evolving Mathematical Thought in His Notes
This paper presents a methodological framework for the systematic analysis and interpretation of complex, often unstructured handwritten mathematical notes, using Alexander Grothendieck’s ...
James Clerk Maxwell: A Mathematical Biography
This paper presents a mathematical biography of James Clerk Maxwell, emphasizing his intellectual trajectory and the role of geometry, analysis, and structural abstraction in his scientific ...
Photon Soul Continuity: An Unobserved Extension of Maxwell's Equations
This paper proposes a minimal extension of Maxwell’s equations to incorporate a hidden “soul” current (Js) originating from a higher-dimensional Higgs–photon coupling. It details how Js ...
Hypocoercivity and the Cosmic Gas: A study of unobserved law and Cédric Villani’s Methods in Astrophysical Kinetics
We study unobserved law of nature and present a comprehensive review of the mathematical theories of kinetic equations developed by CĂ©dric Villani and collaborators, with a focus on their ...
Quantum Eigenstate Dynamics for Artificial General Intelligence Synthesis
This paper proposes a model for Artificial General Intelligence (AGI) based on quantum eigenstate dynamics. It suggests constructing AGI states as superpositions of quantum eigenstates, allowing ...
Dreams of the multiverse - Topological Recursion in Nested Cyclic Multiverses, Three actors: The “Basket-Balloon” Metric, The Hiranyagarbha Seed, and Standard Model Renormalization
We explore a system covering a Hierarchical Cyclic Multiverse to solve the geodesic incompleteness of the Big Bang singularity. We introduce a "Basket-Balloon" topology and a ...
Emerging Photonic Principles and Negative Effective Mass: A Mathematical Treatise in the Tradition of Grothendieck
This mathematical treatise explores emerging photonic principles and the concept of negative effective mass, distinct from negative mass. It presents mathematical formulations for mirror ...
Photon Soul Continuity - Unobserved Extension of Maxwell's Equations: Pathways
This paper proposes a minimal extension of Maxwell’s equations to incorporate a hidden "soul" current (Js) originating from a higher-dimensional Higgs–photon coupling. It outlines ...
Perspective: Molecular-Action Pathways for Autism Drug Discovery: Organoids, Circadian Dynamics, and Genetic Engineering
This paper outlines an integrated molecular-action framework for ASD drug discovery, combining human patient-derived cerebral organoids, circadian biology, and targeted genetic and chemical ...
Toward an Unobserved Photonic Law of Nature: A Gauge-Invariant Maxwell Extension from Higher-Dimensional Soul Currents
We formulate and prove a mathematically precise, gauge-invariant extension of Maxwell’s equations in four dimensions that incorporates an invisible soul current arising from higher-dimensional ...
Play-Based Interventions for Promoting Positive Developmental Outcomes in Autism Spectrum Disorder: A Comprehensive Therapeutic Protocol Informed by Neuroscience, Developmental Psychology, and Positive Psychology
This paper presents a comprehensive therapeutic protocol for ASD that leverages play-based interventions, informed by neuroscience, developmental psychology, and positive psychology. It ...
A Variance–AM–GM Inequality Conjecture: A Call to the Mathematical Community
This note proposes a new inequality linking the classical arithmetic and geometric means with the variance of positive real variables.
The Holographic State Space: A Mathematical Formalism for the Cosmic Storehouse: Proto-theory
This paper introduces a mathematical formalism for a "cosmic storehouse"—the primordial state of potentiality from which all observable forms emerge. It posits a universal Hilbert space, the ...
The Photon Soul Theorem: A Cohomological Approach to Interference Visibility
This experimental work introduces the "photon soul effect," demonstrating that topological obstructions in a photon’s field structure can lead to reduced interference contrast. It models ...
A Researcher’s compass: Grothendieck his Rising Sea: Universality and the Dissolution of Singularities in Algebraic Geometry
We advocate for the “Rising Sea” methodology (La Mer qui Monte) as the paradigmatic approach to modern algebraic geometry, constructing abelian categories and derived functors to dissolve ...
G-Theory → Maxwell Duality: Lie-N Compactification, a Nonsingular Bounce, and Topological Photon Signatures : Prospects for evidence of an unobserved extended Maxwell law
This research paper provides a rigorous mathematical and theoretical formulation in physics, duality, topology, investigating structural field equations, invariant bounds, and fundamental properties established by Peter ...
Photon Soul Resonance: A Breakthrough Extension of Soul Continuity
This paper presents a significant extension of the Photon Soul Continuity framework by introducing the principle of Photon Soul Resonance (PSR). It proposes that resonant a...
Beyond the Standard Model: Analytic Approach for the detection related to Unobserved Laws of Nature
This paper provides a mathematical exposition of the Standard Model (SM) of particle physics, analyzing its limitations such as the hierarchy problem and the absence of a quantum theory of ...
Newly discovered Potentials for Topos Theory from Grothendieck's Handwritten Notes: Functorial Correspondences and Topos Duality: A Reconstruction from Pages (Cote 115)
This paper reconstructs and formalizes concepts from Alexander Grothendieck’s handwritten notes on functorial correspondences and topos duality. It translates his sketches into modern ...
A Unified Framework for Photon-Soul Continuity: From Deterministic Stability to Stochastic Renormalization and Geometric Averaging
This paper presents a unified mathematical framework for an extension to Maxwell's equations that introduces a "soul current." It synthesizes the theories of Villani, Hairer, and Mirzakhani to ...
Applying Villani to understand Cosmic Gas: Kinetics for Classical and Quantum Gas Dynamics: On the Emergence of Quantum Turbulence in Cosmic Media
This paper unifies kinetic properties of classical gases with quantum transport properties. It introduces a "quantum-corrected Boltzmann equation" that incorporates bosonic statistics into ...
Beyond the Wolfram Model: On the Role of Algebraic Topology and Moduli Spaces in the Emergence of Hypergraph Spacetime Dynamics
This research paper provides a rigorous mathematical and theoretical formulation in physics, topology, spacetime, investigating structural field equations, invariant bounds, and fundamental properties established by Pete...
Illuminating the Breakthrough: A Dual Verification of the Geometric Langlands Conjecture Proof
This paper presents an independent, dual verification of the recently completed proof of the Geometric Langlands Conjecture (GLC) for reductive groups. The verification confirms each ...
Yang-Mills Existence and Mass Gap in Four Dimensions: Important hints and clues
This research paper provides a rigorous mathematical and theoretical formulation in physics, yang-mills, mass gap, investigating structural field equations, invariant bounds, and fundamental properties established by Pet...
“Le Roi Est Mort”: The Existential Catastrophe of Baryogenesis and the Standard Model’s Final Breath
This paper provides a rigorous critique of the Standard Model’s inability to account for the observed matter-antimatter asymmetry. It proposes that the failure of baryogenesis is not a missing parameter but a fundamental...
Beyond the Dimensional Horizon: A New Photonic Law described and the Insufficiency of the Standard Higgs Equation for Inward-Collapsing Higher-Dimensional Realities
This work mathematically demonstrates the breakdown of the Higgs mechanism in scenarios of inward-collapsing dimensional topologies. It introduces a new photonic law that governs light propagation across these collapsing...
A new photonic law of nature: the Great Decoherence Paradox. On Holographic Entanglement Horizons and Trans-Dimensional Photonic Continuity
This paper explores the "Great Decoherence Paradox" through the lens of holographic entanglement. It proposes a trans-dimensional continuity principle for photons, suggesting that entanglement horizons acts as conduits f...
Topological Photonic Acceleration of Artificial General Intelligence: Enhancing Recursive State Dynamics and Parity Compilation via Bulk Gauge Continuity
General Intelligence Dynamics (GID) defines cognition as an autonomous, non-stationary dynamical system over an augmented recursive state tuple Xt = (Bt, Mt, Gt, St, Wt) span- ning belief manifolds, memory spaces, goal t...
Why the Riemann Hypothesis Appears Structurally Inevitable: An Argument from Mathematical Logic, Spectral Duality, and Geometric Frameworks
The Riemann Hypothesis (RH) has resisted direct proof for over 160 years. While its persistent intractability has occasionally led commentators to speculate on its potential logical undecidability, such pessimism fundame...
A Half-Completed Proof of the Riemann Hypothesis: On the Spectral Realization of the Riemann Xi-Function — Dilation Generators, Haar Multipliers, and Spectral Scaling Obstructions
The Riemann Hypothesis (RH) asserts that all nontrivial zeros of the Riemann zeta function ζ(s) satisfy Re(s) = 1 2. In this work we will deliver half of the proof required to solve RH. Within the Hilbert–Pólya framework...
A Framework for Radion-Supported Gravitating Solitons: Toward a Geometric Interpretation of Localized Gravitational Mass
We investigate localized, finite-energy solutions of an Einstein-Yang-Mills-Higgs (EYMH) system coupled to a dynamically stabilized radion field. Rather than proposing a new origin for gravitation, we explore a novel mec...
Beyond Artificial Intelligence: The Mathematical Dynamics of General Intelligence — Recursive State-Space Dynamics, Self-Modeling, and Adaptive Goal Formation
Thanks to the hard work of the community the mathematics of AI and AGI have now been established. It is now time to focus on design, this paper will provide an angle to design AGI. While modular sector-gate dynamics and ...
Checkmate! Entropy Production, State-Space Dissipation, and Asymptotic Convergence: Revealing Magnus Carlsen’s Strategic Chess Trajectories
In this work we will model the strategic phase transitions and decision mechanics under- lying the grandmaster play of Magnus Carlsen. Modeling chess as a discrete-time Markov Decision Process (MDP) over a directed, fini...
Explicit Calabi-Yau Cohomology, Chiral Spectra, and SO(10) ⊂ E8 × E8 Heterotic Embeddings of Topological Photonic Sheaves
We formulate a Grand Unified embedding framework and cohomological representation for higher-dimensional photonic continuity over a ten-dimensional spacetime product man- ifold Y = X Ă— K, where X is four-dimensional phys...
Topological and Non-Hermitian Photonic Crystals: Floquet Vacuum-Field Amplification, Piezo-Optomechanical Solitons, and Stochastic Boundary Gauge Continuity
In an attempt to advance fusion energy, and deepen our understanding of crystals, we explore a highly curious concept related to macroscopic crystalline structures engineered for optical confinement, non-Hermitian spectr...
Fatal Flaws in the Einstein–Standard Model Action: A Forensic Mathematical and Physical Analysis of the Claim to Fundamental Completeness
Popularized science literature, institutional media, and pedagogical summaries frequently present a single composite generating functional—unifying the Einstein-Hilbert action with the Standard Model Lagrangian—as the de...
On the Geometric and Spectral Inevitability of Ultrahyperbolic (3 + 3) Spacetime: Mathematical Foundations, Temporal Eigenvalue Spectra, and Unified Gauge Phenomenology
The geometric formulation of fundamental physical interactions has traditionally presumed a pseudo-Riemannian manifold of Lorentzian signature (1, 3). However, deep-seated math- ematical obstructions—such as non-renormal...
Extensions to the Standard Model: Neutrino Mass, the Strong CP Problem, Grand Unification, and Inflation
While the Standard Model (SM) of particle physics provides an exceptionally accurate description of subatomic interactions up to the electroweak scale, unresolved empirical ob- servations and theoretical puzzles require ...
Investigations into an Unobserved Photonic Law of Nature (Paper V): Quantitative Observational Bounds from the CMB — Constraining Torsional Anomaly Inflow
Following the mathematical and geometric architecture established in the preceding papers of the Topological Emergence program, we extract parametric phenomenological bounds from astrophysical data. Assuming that the fou...
Investigations into an Unobserved Photonic Law of Nature (Paper IV): Torsional Boundary States in Warped Compactifications — An Effective APS-Type Index Formula with Nieh-Yan Contributions
This is the first of a new set of three, where we continue to expand upon our initial work. Hercule Poirot had his suspects, we have our hidden variables. Poirot, however, had the distinct advantage of a closed room; our...
Can We Continue Grothendieck’s Unfinished Unified Theory? Trans-Dimensional Gauge Continuity, Moduli Dynamics, and Motives
We bring a potential solution for Grothendieck his unfinished work. We formulate a mathematical physics frame exploring a prospective physical and geometric realization of Alexander Grothendieck’s program for a universal...
ÄŚech-Dolbeault Realizations, Green-Schwarz Anomaly Consistency, and Heterotic Embeddings of Topological Photonic Sheaves
We formulate a cohomological construction and string-theoretic embedding framework for higher-dimensional photonic continuity over a ten-dimensional spacetime product man- ifold Y = X Ă— K, where X is four-dimensional phy...
Toward Geometric Localization in Kaluza-Klein Gravity: Einstein-Radion Nonlinear Electromagnetic Solitons
We propose a theoretical framework exploring a candidate geometric principle underly- ing the localization of particle-like states. By building upon Wheeler’s concept of geons and introducing non-linear modifications to ...
Investigating an Unobserved Photonic Law (Paper I of III): Holographic Boundary States from Optics to String Theory
We establish the mathematical foundations and differential K-theory of holographic boundary states, demonstrating that Maxwell’s equations represent the effective boundary manifestation of a higher-dimensional organizing...
Investigating an Unobserved Photonic Law (Paper II of III): Holographic Photon Continuity — A Topological Extension of Maxwell’s Equations
We propose a minimal, topologically driven extension of Maxwell’s equations designed to encode a hidden topological current, Jtop, arising from a higher-dimensional Higgs-photon coupling. In standard classical electromag...
Investigating an Unobserved Photonic Law (Paper III of III): Torsional Anomaly Inflow — Riemann-Cartan Holography and the Protected Photon
We extend the Holographic Photon Continuity framework into Riemann-Cartan geometry (U4) to analyze the dynamical interaction between extra-dimensional topological currents and gravitational torsion. Standard general rela...
Topological Photonic Sheaves and Bulk Gauge Continuity: A (4 + k)-Dimensional Geometric Extension of Maxwell Electrodynamics
This work contains some solutions for the category errors, degree mismatches, and dif- ferential geometry of the original U(1) toy model that was described in our earlier Maxwell work. We formulate a geometric extension ...
Toward a Spectral Proof of the Riemann Hypothesis: Spectral Unitarity, Hecke Algebras, and Automorphic Scattering in Adelic Langlands Manifolds
. We present a unified spectral framework intended to provide a possible route toward a proof of the Riemann Hypothesis. By embedding the completed Riemann zeta function into the automorphic spectral geometry of the adel...
Decoherence and the Double-Slit Experiment: Why Conscious Observation Is Not Required
The disappearance of the interference pattern in Young’s double-slit experiment upon the acquisition of which-path information is frequently misrepresented as requiring a conscious observer. In this brief note, we dispel...
A Theoretical Framework for Radion-Supported Gravitating Solitons: Towards a Geometric Interpretation of Confined Gauge-Field Mass
We investigate whether localized, finite-energy solutions of an Einstein-Yang-Mills-Higgs (EYMH) system coupled to a dynamically stabilized radion field admit an interpretation in which four-dimensional mass emerges from...
Investigations into an Unobserved Photonic Law of Nature (Paper VI): Holographic Protection of Non-Abelian Sectors — Hypocoercivity, Instanton Gases, and the QCD Mass Gap
We extend the Topological Emergence Principle from U(1) electromagnetism to non-Abelian SU(N) Yang-Mills theories, investigating the geometric origins of the QCD mass gap and topological susceptibility. While standard qu...
Radion-Supported Gravitating Solitons in Flux-Stabilized Kaluza–Klein Compactifications
We provide a classical effective-field-theory formulation for localized finite-energy con- figurations possessing an effective gravitational mass scale via warped compactification of an Einstein–Yang–Mills–Higgs system. ...
Topological Electroweak Unification: Higher-Dimensional Photonic Sheaves, Chiral Index Invariants, and the Extended Standard Model
Rejecting the Standard Model (SM) is easily done as we have showed -to great personal satisfaction -in our previous works; however, a constructive theoretical paradigm must fun- damentally improve, complete, and geometri...
Structural Compression and Hidden Generators: A Conditional Information Invariant for Finite Mathematical Universes
We introduce a finite information-theoretic invariant measuring the structural com- plexity of mathematical objects relative to a chosen family of constraints. Recognizing that mathematical constraints form dense depende...