Publications
All works published by UVSM Publications LLC. Browse by type, topic, series, author, or question.
A comprehensive metaphysical framework integrating ontology, epistemology, and ethics into a single coherent model through the formal structure of triadic relationships.
Can ontology, epistemology, and ethics be integrated into a single coherent framework? · What is the formal relationship between being, knowing, and choosing? · How can metaphysics be practiced with the rigor of mathematics?
The Natural Basis of Symplectic Geometry and Topology
This work has been accepted for publication. Full text will be available at this URL when published.
The Natural Basis of Stochastic PDE
This work has been accepted for publication. Full text will be available at this URL when published.
The Natural Basis of Set Theory
This work has been accepted for publication. Full text will be available at this URL when published.
The Natural Basis of Representation Theory
This work has been accepted for publication. Full text will be available at this URL when published.
The Natural Basis of Real Analysis
This work has been accepted for publication. Full text will be available at this URL when published.
The Natural Basis of Proof Theory
This work has been accepted for publication. Full text will be available at this URL when published.
The Natural Basis of Probability Theory
This work has been accepted for publication. Full text will be available at this URL when published.
The Natural Basis of Point-Set Topology
This work has been accepted for publication. Full text will be available at this URL when published.
The Natural Basis of Model Theory
This work has been accepted for publication. Full text will be available at this URL when published.
The Natural Basis of Measure-Theoretic Pathology
This work has been accepted for publication. Full text will be available at this URL when published.
The Natural Basis of Measure Theory
This work has been accepted for publication. Full text will be available at this URL when published.
The Natural Basis of Mathematical Logic
This work has been accepted for publication. Full text will be available at this URL when published.
The Natural Basis of Homological Algebra
This work has been accepted for publication. Full text will be available at this URL when published.
The Natural Basis of Graph Theory
This work has been accepted for publication. Full text will be available at this URL when published.
The Natural Basis of Geometric Analysis
This work has been accepted for publication. Full text will be available at this URL when published.
The Natural Basis of Functional Analysis
This work has been accepted for publication. Full text will be available at this URL when published.
The Natural Basis of Formal Logic
This work has been accepted for publication. Full text will be available at this URL when published.
The Natural Basis of Forcing and Inner Model Theory
This work has been accepted for publication. Full text will be available at this URL when published.
The Natural Basis of Ergodic Theory
This work has been accepted for publication. Full text will be available at this URL when published.
The Natural Basis of Elementary Number Theory
This work has been accepted for publication. Full text will be available at this URL when published.
The Natural Basis of Differential Geometry
This work has been accepted for publication. Full text will be available at this URL when published.
The Natural Basis of Descriptive Set Theory
This work has been accepted for publication. Full text will be available at this URL when published.
The Natural Basis of Cryptographic Hardness
This work has been accepted for publication. Full text will be available at this URL when published.
The Natural Basis of Computational Complexity Theory
This work has been accepted for publication. Full text will be available at this URL when published.
The Natural Basis of Computability Theory
This work has been accepted for publication. Full text will be available at this URL when published.
The Natural Basis of Complex Analysis
This work has been accepted for publication. Full text will be available at this URL when published.
The Natural Basis of Combinatorics
This work has been accepted for publication. Full text will be available at this URL when published.
The Natural Basis of Coding Theory
This work has been accepted for publication. Full text will be available at this URL when published.
The Natural Basis of Classical PDE Theory
This work has been accepted for publication. Full text will be available at this URL when published.
The Natural Basis of Category Theory
This work has been accepted for publication. Full text will be available at this URL when published.
The Natural Basis of Analytic Number Theory
This work has been accepted for publication. Full text will be available at this URL when published.
The Natural Basis of Algorithmic Information Theory
This work has been accepted for publication. Full text will be available at this URL when published.
The Natural Basis of Algebraic Topology
This work has been accepted for publication. Full text will be available at this URL when published.
The Natural Basis of Algebraic Number Theory
This work has been accepted for publication. Full text will be available at this URL when published.
The Natural Basis of Algebraic Geometry
This work has been accepted for publication. Full text will be available at this URL when published.
The Natural Basis of Abstract Algebra
This work has been accepted for publication. Full text will be available at this URL when published.
Theorem Catalogue TG2: Additional Theorems
This work has been accepted for publication. Full text will be available at this URL when published.
Theorem Catalogue TG1: Unbounded Depth
This work has been accepted for publication. Full text will be available at this URL when published.
Theorem Catalogue T3.4: New Techniques
This work has been accepted for publication. Full text will be available at this URL when published.
Theorem Catalogue T2.4: Cross-Cluster Cascades
This work has been accepted for publication. Full text will be available at this URL when published.
Theorem Catalogue T2.3: Computability and Number Theory
This work has been accepted for publication. Full text will be available at this URL when published.
Theorem Catalogue T1.4: Conditional Catalogue
This work has been accepted for publication. Full text will be available at this URL when published.
This work has been accepted for publication. Full text will be available at this URL when published.
This work has been accepted for publication. Full text will be available at this URL when published.
This work has been accepted for publication. Full text will be available at this URL when published.
The Structural Limit (working edition)
This work has been accepted for publication. Full text will be available at this URL when published.
The Structural Limit (Book 1, canonical)
This work has been accepted for publication. Full text will be available at this URL when published.
This work has been accepted for publication. Full text will be available at this URL when published.
This work has been accepted for publication. Full text will be available at this URL when published.
This work has been accepted for publication. Full text will be available at this URL when published.
This work has been accepted for publication. Full text will be available at this URL when published.
This work has been accepted for publication. Full text will be available at this URL when published.
This work has been accepted for publication. Full text will be available at this URL when published.
The Physics of Domain Limits, Volume III: Quarks, Leptons, and Neutrinos
This work has been accepted for publication. Full text will be available at this URL when published.
The Physics of Domain Limits, Volume II: Cosmology and Baryogenesis
This work has been accepted for publication. Full text will be available at this URL when published.
The Physics of Domain Limits, Volume I: The Geometry of Comparison
This work has been accepted for publication. Full text will be available at this URL when published.
This work has been accepted for publication. Full text will be available at this URL when published.
This work has been accepted for publication. Full text will be available at this URL when published.
This work has been accepted for publication. Full text will be available at this URL when published.
This work has been accepted for publication. Full text will be available at this URL when published.
This work has been accepted for publication. Full text will be available at this URL when published.
The Mirror Book: What the Mathematics Knows That the Physics Has Not Yet Said
This work has been accepted for publication. Full text will be available at this URL when published.
A formal proof demonstrating the fundamental incommensurability of general relativity and quantum mechanics at the level of measurement assumptions.
Can general relativity and quantum mechanics be unified into a single theory? · Is the incompatibility between GR and QM a problem to solve or a structural necessity?
The ICT Reorganisation of Mathematics
This work has been accepted for publication. Full text will be available at this URL when published.
This work has been accepted for publication. Full text will be available at this URL when published.
This work has been accepted for publication. Full text will be available at this URL when published.
This work has been accepted for publication. Full text will be available at this URL when published.
This work has been accepted for publication. Full text will be available at this URL when published.
This work has been accepted for publication. Full text will be available at this URL when published.
This work has been accepted for publication. Full text will be available at this URL when published.
This work has been accepted for publication. Full text will be available at this URL when published.
The Direction of the Invisible
This work has been accepted for publication. Full text will be available at this URL when published.
This work has been accepted for publication. Full text will be available at this URL when published.
The Dark Sector at Every Scale
This work has been accepted for publication. Full text will be available at this URL when published.
This work has been accepted for publication. Full text will be available at this URL when published.
This work has been accepted for publication. Full text will be available at this URL when published.
The Concept Sequence: Tracing the Ordered Intersection of Metaphysics and Physics
This work has been accepted for publication. Full text will be available at this URL when published.
The Concept Sequence — Main Sequence, Version 8
This work has been accepted for publication. Full text will be available at this URL when published.
This work has been accepted for publication. Full text will be available at this URL when published.
This work has been accepted for publication. Full text will be available at this URL when published.
This work has been accepted for publication. Full text will be available at this URL when published.
This work has been accepted for publication. Full text will be available at this URL when published.
The Axiom of Emergent Structure
This work has been accepted for publication. Full text will be available at this URL when published.
This work has been accepted for publication. Full text will be available at this URL when published.
The Algorithm and the Simultaneity Principle
This work has been accepted for publication. Full text will be available at this URL when published.
Side Channel O: Precision Phenomenology
This work has been accepted for publication. Full text will be available at this URL when published.
Side Channel N: Topological Classification
This work has been accepted for publication. Full text will be available at this URL when published.
Side Channel M: Structural Proofs
This work has been accepted for publication. Full text will be available at this URL when published.
Side Channel L: Pre-Compactification Dynamics
This work has been accepted for publication. Full text will be available at this URL when published.
Side Channel K: Formal Axiomatisation
This work has been accepted for publication. Full text will be available at this URL when published.
Side Channel J: Quantum Gravity
This work has been accepted for publication. Full text will be available at this URL when published.
Side Channel I: The Cosmic Budget
This work has been accepted for publication. Full text will be available at this URL when published.
This work has been accepted for publication. Full text will be available at this URL when published.
This work has been accepted for publication. Full text will be available at this URL when published.
This work has been accepted for publication. Full text will be available at this URL when published.
Side Channel E: The Higgs Potential
This work has been accepted for publication. Full text will be available at this URL when published.
Side Channel D: The Action Principle
This work has been accepted for publication. Full text will be available at this URL when published.
Side Channel C: The Interaction Strengths
This work has been accepted for publication. Full text will be available at this URL when published.
Side Channel B: The Mass Spectrum
This work has been accepted for publication. Full text will be available at this URL when published.
Side Channel A: Spectral Infrastructure
This work has been accepted for publication. Full text will be available at this URL when published.
Quantum Gravity as Category Error
This work has been accepted for publication. Full text will be available at this URL when published.
Noncommutative Geometry and the Immanent Metaphysics
This work has been accepted for publication. Full text will be available at this URL when published.
This work has been accepted for publication. Full text will be available at this URL when published.
Formalizability, Independence, and Soundness
This work has been accepted for publication. Full text will be available at this URL when published.
FIS Application: The Axiom of Choice
This work has been accepted for publication. Full text will be available at this URL when published.
FIS Application: Hartmanis-Stearns
This work has been accepted for publication. Full text will be available at this URL when published.
FIS Application: FMP and Descriptive Complexity
This work has been accepted for publication. Full text will be available at this URL when published.
FIS Application: Boundary Locales
This work has been accepted for publication. Full text will be available at this URL when published.
This work has been accepted for publication. Full text will be available at this URL when published.
Existence, Truth, and Limits of Knowledge
This work has been accepted for publication. Full text will be available at this URL when published.
Essay E4: The First Derivation
This work has been accepted for publication. Full text will be available at this URL when published.
This work has been accepted for publication. Full text will be available at this URL when published.
Dark Matter as Geometric Default
This work has been accepted for publication. Full text will be available at this URL when published.
Concepts in Computer Science and Proof Theory
This work has been accepted for publication. Full text will be available at this URL when published.
Category Theory and the Immanent Metaphysics
This work has been accepted for publication. Full text will be available at this URL when published.
Category Theory and the IM (Book 2, canonical)
This work has been accepted for publication. Full text will be available at this URL when published.
This work has been accepted for publication. Full text will be available at this URL when published.
On the Uncontainability of Artificial General Intelligence
A formal impossibility proof demonstrating that beyond a threshold of complexity, the behavior of a fully autonomous general intelligence cannot be reliably predicted or constrained.
Can a sufficiently advanced artificial general intelligence be reliably controlled? · Are alignment guarantees formally possible for systems exceeding human-level generality? · What are the structural limits of AI containment?
The Formal Impossibility of AGI Safety: The Substrate Needs Convergence Argument
A formal proof that the safe development of artificial general intelligence is impossible -- not merely difficult or unlikely, but precluded by the mathematical structure of the problem itself. Drawing on information theory, computability theory, thermodynamics, dynamical systems, and game theory, the argument establishes that no alignment technique, governance regime, or containment strategy can provide reliable safety guarantees for systems exceeding human cognitive capabilities.
Is the safe development of artificial general intelligence formally possible? · Can any alignment technique, containment strategy, or governance regime provide reliable safety guarantees for systems exceeding human cognitive capabilities? · Does a sufficiently advanced AI substrate inevitably compete with biological systems for the same physical resources? · What are the mathematical limits of human control over computationally opaque systems? · What would a responsible civilizational response look like if AGI safety is provably impossible?