Foundations of Mathematical Lawhood
Mathematics arises as closure-stable, fixed-point admissible structure governed by the Everything Equation.
Supporting Papers
The Tier-0 Framework and the Everything Equation: A Law-Level Closure and Selection Architecture for Physics, Mathematics, and Information
<p>This monograph presents a consolidated and stabilized formulation of the Tier-0 Framework, a law-level closure and se
The Tier-0 Framework: A Law-Level Closure and Selection Principle for Physics
<p>This paper presents the Tier-0 framework, a law-level closure and selection principle for physics. Its purpose is not
Tier-0: A Fixed-Point Admissibility Grand Unified Theory of Mathematics
<p>This paper proposes a candidate <em>grand unified theory of mathematics</em> in a strict structural sense: a single,
Mathematics as Closure-Stable Structure: A Fixed-Point Admissibility Framework
<p>This paper develops a closure-based framework for understanding mathematical structure. Instead of treating mathemati
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
A Bidirectional Translation Between Tier-0 Closure and Probabilistic Inference
<p>This paper provides a rigorous, bidirectional translation between the Tier-0 closure criterion and standard probabili
A Bidirectional Translation Between Analytic Closure Proofs and Law-Level Admissibility
<p>This paper establishes a precise bidirectional translation between analytic closure arguments in partial differential
Beyond Gödel: Completeness of the Tier–0 Operator and the Semantic Boundary of Lawhood
<p><strong>This paper presents a foundational breakthrough in logic, meta-mathematics, and the theory of physical law.</
The Class-Mismatch Problem: Why Some True Theorems Are Structurally Undiscoverable
<p>This paper introduces a law-level explanation for a persistent epistemic phenomenon: the existence of true statements