What I learned today

  GRM Base-T Rebuild of Generative Diophantine Universality Theory (GDUT) GRM Base-T Rebuild of Generative Diophantine Universality Theory (GDUT) Table of Contents Front Matter 0. Defining the Mathematical Problem Reconstructed by Base-T 0.1 Generative Diophantine Universality Theory as a theory of positive-existential expressive power 0.2 The distinction between reconstructing GDUT and proving new arithmetic theorems 0.3 GRM Base-T as a discipline for recovering source-native mathematical structure 0.4 Why GRM governs the reconstruction without becoming part of GDUT mathematics 0.5 The central question: \[ \text{What arithmetic expressive power is generated from the declared source?} \] 0.6 The second central question: \[ \text{Which genuine source enrichments cross a universality boundary?} \] 0.7 The negative question: \[ \text{Which invariants survive positive-existential closure and block universality?} \] 0.8 Construction, semantic representation, effective access, and decisi...

GRM Base-t Rebuild: Yang–Mills Existence and Mass Gap Subtitle Reconstructing a Scoped, Reopenable Source Organization Before Testing Quantum Yang–Mills Representability, Confinement, Poincaré Dynamics, Spectral Structure, and the Hamiltonian Mass Gap Part I — Reconstructing the Problem Without Allowing the Target to Construct the Source 1. Separating the Requested Yang–Mills Theorem From the Source Organization That Could Support It 1.1 Treating Conventional Yang–Mills Theory as a Downstream Mathematical Representation Rather Than the Primitive Physical Starting Point 1.2 Separating Mathematical Existence of a Yang–Mills Representation From Physical Existence of the Source Organization Being Represented 1.3 Separating the Requested Positive Mass Gap From Any Upstream Criterion Used to Select Source Constructors 1.4 Preserving the Requested Theorem as an Obligation Interface Without Granting It Ontological Authority 1.5 Distinguishing Target Erasure From Target Amnesia So That Removing...