Papers
The Everything Equation: A Universal Closure Principle for Law Structure
<p>This paper develops and proves a universal mathematical principle governing the structure of lawful systems. We show
The Everything Equation in Physics: A Universal Closure Principle for Physical Law
<p>This paper presents the physical realization of the Everything Equation, a universal recursion law originally formula
The Tier-0 Framework and the Everything Equation: A Universal Recursion Law for Physics, Mathematics, and Information
<p>This monograph introduces the Tier-0 Framework, a universal recursion rule that defines the structural requirements a
Mathematics as Closure-Stable Structure: A Fixed-Point Admissibility Framework
<p>This paper presents a law-level framework for understanding mathematical reality based on closure-stable admissibilit
The Canonical Λ-Field: Uniqueness, Spectral Determinants, and Dissipative Generators
<p>This paper establishes a rigidity theorem for the dissipative sector of irreversible dynamics.<br>Whenever a system e
Λ-Profiles and the Universal Spectral Budget: Lawful Structure of Dissipative Generators
<p>This paper develops a universal, scale-free law governing dissipative systems through their spectral structure.</p> <
Spectral Thermodynamics and the Quantum Arrow of Time
<p>This paper presents a complete, self-contained mathematical and physical resolution of the <strong>Arrow of Time</str
Quantum Energy Conditions from Spectral Thermodynamics: A Falsifiable Framework for Universal Energy Bounds
<p>This paper establishes a rigorous and falsifiable framework for <strong>quantum energy conditions</strong> derived fr
Recursive Gauge Collapse: A Law-Level Derivation of Dimensionality and Spacetime Structure
<p>This paper presents a law-level framework showing that dimensionality, spacetime structure, and temporal direction ar
Light, Time, and Null Structure: A Closure-Based Classification of Light and a Record-Sector Observable
<p>The invariant speed of light and the absence of proper time along null trajectories are standard results of relativit
Determinant Closure and Uniqueness in Grand Unified Theories: A Structural Derivation of SO(10)
<p>We introduce a determinant-based closure criterion for Grand Unified Theories and apply it to the classification of v
Structural Reconstruction of the Standard Model from SO(10): Gauge Group, Fermion Content, and Anomaly Cancellation
<p>We present a conservative, representation-theoretic reconstruction of the Standard Model as the admissible low-energy
Closure and Regularity in Partial Differential Equations I: From High-Frequency Surplus to Regularity in 3D Navier–Stokes
<p>This paper establishes a fully analytic mechanism converting a strict high-frequency dissipation surplus into classic
Closure and Regularity in Partial Differential Equations II: Inviscid Closure and Anomalous Dissipation in the Euler Equations
<p>This paper analyzes the three-dimensional incompressible Euler equations from the perspective of high-frequency closu
Closure and Regularity in Partial Differential Equations III: Continuity of Closure in the Vanishing Viscosity Limit
<p>This paper resolves the interface problem between viscous and inviscid closure mechanisms by establishing a precise n
Closure and Regularity in Partial Differential Equations IV: Shock Formation, Dissipation, and Closure in Compressible Flow
<p>This paper extends the closure framework developed in the earlier papers of the series to the barotropic compressible
Closure and Regularity in Partial Differential Equations V: A Universality Test of the Strict Margin Closure Mechanism
<p>This paper provides a universality test for the closure mechanism developed in the series <em>Closure and Regularity
Closure and Regularity in Partial Differential Equations VI: Failure Modes and Obstructions to Analytic Closure
<p>This paper completes the program developed in the series <em>Closure and Regularity in Partial Differential Equations
Normalization, Persistence, and Closure in Navier–Stokes Theory: A Packet-Level Translation of PDE Dynamics into a Law-Level Framework
<p>This paper presents a detailed structural analysis of the three-dimensional incompressible Navier–Stokes equati