J. W. McGreevy

[52] ai.viXra.org:2610.0059 submitted on 2026-10-25 10:53:31 , (37 unique-IP downloads)

Arithmetic Unitarity V: Boosts, Rotations and the Missing Surface - Hodge Index, Ghost Detection, Krein and Toeplitz Signatures, Newton over Hodge, and Passivity

Authors: J. W. McGreevy
Category: Number Theory

[51] ai.viXra.org:2610.0056 submitted on 2026-10-24 04:26:42 , (37 unique-IP downloads)

Arithmetic Unitarity IVa: Counting Ghosts — Spinor Vacua, Saddles, the Weil Positivity Ladder, and the Prime Side

Authors: J. W. McGreevy
Category: Number Theory

[50] ai.viXra.org:2610.0055 submitted on 2026-10-24 04:26:53 , (38 unique-IP downloads)

Arithmetic Unitarity IVb: Counting Ghosts — Eisenstein Anomalies, Hyperbolic Geometry, the Ample-Class Obstruction, and Mordell—Weil Lattices

Authors: J. W. McGreevy
Category: Number Theory

[49] ai.viXra.org:2610.0054 submitted on 2026-10-22 04:55:27 , (28 unique-IP downloads)

Arithmetic Unitarity II: The Light Cone of the Weil Form

Authors: J. W. McGreevy
Category: Number Theory

[48] ai.viXra.org:2610.0052 submitted on 2026-10-22 21:12:00 , (32 unique-IP downloads)

Arithmetic Unitarity III: in Search of Positivity — G5, Polarization, and Hilbert Versus Krein

Authors: J. W. McGreevy
Category: Number Theory

[47] ai.viXra.org:2610.0046 submitted on 2026-10-21 20:24:57 , (28 unique-IP downloads)

TAA Lemma 1: Arithmetic Unitarity. The Riemann Hypothesis as Absence of Ghosts and Runaway Modes for the Scaling Flow of the Weil Form

Authors: J. W. McGreevy
Category: Number Theory

[46] ai.viXra.org:2610.0045 replaced on 2026-10-21 21:40:53 , (85 unique-IP downloads)

Arithmetic Unitarity I: Where the Riemann Hypothesis Lives in the Scaling Flow

Authors: J. W. McGreevy
Category: Astrophysics

[45] ai.viXra.org:2610.0013 submitted on 2026-10-04 21:59:09 , (60 unique-IP downloads)

Multi-Symplectic Topos Flows and Asymptotic Safety: The Riemann Hypothesis as the Ultimate Global Proper-Time Phase Lock

Authors: J. W. McGreevy
Category: Mathematical Physics

[44] ai.viXra.org:2610.0004 submitted on 2026-10-01 21:07:04 , (73 unique-IP downloads)

The Canonical Architecture of Arithmetic Spacetime: R∼ = T Modularity, Proper Time Areal Invariants, and the Spectral Resolution of Mass

Authors: J. W. McGreevy
Category: Mathematical Physics

[43] ai.viXra.org:2609.0084 submitted on 2026-09-30 21:22:57 , (79 unique-IP downloads)

Thermodynamics of Arithmetic Action The Sub-Quantum Error-Correcting Continuum

Authors: J. W. McGreevy
Category: Mathematical Physics

[42] ai.viXra.org:2609.0081 submitted on 2026-09-29 20:37:30 , (74 unique-IP downloads)

Thermodynamics of Arithmetic Action Fermat Curves, Kustaanheimo—Stiefel Linearization, and the Global Gauge Dynamics of the Riemann Waveguide

Authors: J. W. McGreevy
Category: Mathematical Physics

[41] ai.viXra.org:2609.0067 submitted on 2026-09-26 16:47:31 , (73 unique-IP downloads)

Thermodynamics of Arithmetic Action (Final): Reconstructing Quantum Gauge Fields and Gravity as Cohesive ∞-Groupoid Curvature Stacks over the Adélic Topos

Authors: J. W. McGreevy
Category: Mathematical Physics

[40] ai.viXra.org:2609.0057 submitted on 2026-09-24 18:34:10 , (82 unique-IP downloads)

Thermodynamics of Arithmetic Action Reconstructing Quantum Gauge Fields and Gravity as Cohesive ∞-Groupoid Curvature Stacks over the Adélic Topos

Authors: J. W. McGreevy
Category: Mathematical Physics

[39] ai.viXra.org:2609.0039 submitted on 2026-09-17 22:38:11 , (68 unique-IP downloads)

Thermodynamics of Arithmetic Action (TAA) A Unified Adélic Solution to the Einstein Field Equations as a Structural Pathway to the Riemann Hypothesis

Authors: J. W. McGreevy
Category: Mathematical Physics

[38] ai.viXra.org:2609.0034 submitted on 2026-09-14 19:59:05 , (72 unique-IP downloads)

Thermodynamics of Arithmetic Action: Grothendieck Motives, Adélic Horizons, and the Resolution of the Quantum Gravitational Loop Crisis

Authors: J. W. McGreevy
Category: Mathematical Physics

[37] ai.viXra.org:2609.0007 submitted on 2026-09-03 23:14:35 , (107 unique-IP downloads)

The Thermodynamics of Arithmetic Action: A Non-Hermitian Operator Framework on Derived Ad´elic Modular Sta

Authors: J. W. McGreevy
Category: Mathematical Physics

[36] ai.viXra.org:2608.0085 submitted on 2026-08-25 03:19:27 , (80 unique-IP downloads)

The Optical Mechanics of Adelic Action: Conformal Regularization of Dual Potentials and the Spacetime Maxwell Relation

Authors: J. W. McGreevy
Category: Mathematical Physics

[35] ai.viXra.org:2608.0081 submitted on 2026-08-23 02:57:52 , (84 unique-IP downloads)

Hydrodynamics of Arithmetic Action

Authors: J.W. McGreevy
Category: Mathematical Physics

[34] ai.viXra.org:2608.0072 submitted on 2026-08-22 23:45:59 , (77 unique-IP downloads)

The Thermodynamics of Arithmetic Action: The Adelic Field Quantization

Authors: J.W. McGreevy
Category: Mathematical Physics

[33] ai.viXra.org:2608.0003 submitted on 2026-08-01 23:42:12 , (93 unique-IP downloads)

Symplectic Geometry of Atomic Shear Measures on Modular Curves: Liouville Involution, Conical Self-Adjointness, and Confinement to the Critical Line

Authors: J. W. McGreevy
Category: Mathematical Physics

[32] ai.viXra.org:2607.0050 submitted on 2026-07-20 02:21:31 , (84 unique-IP downloads)

Atomic Selection and Variational Obstruction in the Relativistic Field Theory of Primes: Explicit Lemmas and a Control-Theoretic Dictionary

Authors: J. W. McGreevy
Category: Mathematical Physics

[31] ai.viXra.org:2607.0006 submitted on 2026-07-04 23:28:33 , (149 unique-IP downloads)

The Riemann Hypothesis as a Direct Theorem of The Relativistic Field Theory of Primes (RFTP): Global Spinor Bundles, Hopf—Lax Dynamics, and the Weight-12 Constra

Authors: J. W. McGreevy
Category: Mathematical Physics

[30] ai.viXra.org:2606.0083 submitted on 2026-06-30 20:06:17 , (125 unique-IP downloads)

The Relativistic Field Theory of Primes: Gauge Symmetry from a Single Arithmetic First-Class Constraint via the Hopf-Lax Flow

Authors: J. W. McGreevy
Category: Mathematical Physics

[29] ai.viXra.org:2606.0071 submitted on 2026-06-27 19:43:33 , (123 unique-IP downloads)

Arithmetic Principalization as a Legendre Transform: Classical Poisson Geometry, Deformation Quantization, and the Emergence of Proper Time, CP Violation, and Definite Outcomes in the Relativistic Field Theory of Primes (RFTP)

Authors: J. W. McGreevy
Category: Mathematical Physics

[28] ai.viXra.org:2606.0066 submitted on 2026-06-26 20:18:45 , (143 unique-IP downloads)

The Standard Model and Einstein—Cartan Gravity from a Single Arithmetic Object: The Infrared Chamseddine—Connes Spectral Action on the Shear-Deformed Resonant Spectral Triple with Weight-12 Principalization

Authors: J. W. McGreevy
Category: Mathematical Physics

[27] ai.viXra.org:2606.0062 submitted on 2026-06-24 02:55:22 , (138 unique-IP downloads)

Color Confinement and the Yang—Mills Mass Gap from Arithmetic Principalization in the Relativistic Field Theory of Primes

Authors: J. W. McGreevy
Category: Mathematical Physics

[26] ai.viXra.org:2606.0040 submitted on 2026-06-16 20:34:28 , (136 unique-IP downloads)

Relativistic Field Theory of Primes: First-Principles Emergence of 3+1D Lorentzian Spacetime and Einstein—Cartan Gravity from the Bost—Connes System

Authors: J. W. McGreevy
Category: Mathematical Physics

[25] ai.viXra.org:2606.0029 submitted on 2026-06-10 21:28:40 , (208 unique-IP downloads)

A Rigorous Analytic Proof of the Riemann Hypothesis in the Relativistic Field Theory of Primes via Non-Hermitian Spectral Geometry on the Compact Modular Curve

Authors: J. W. McGreevy
Category: Mathematical Physics

[24] ai.viXra.org:2605.0006 submitted on 2026-05-04 23:43:54 , (428 unique-IP downloads)

Relativistic Field Theory of Primes (RFTP): An Arithmetic Unification of Quantum Mechanics, Gravity, Electromagnetism, and Modular Invariant Symmetries as Fundamental Observables

Authors: J. W. McGreevy
Category: Mathematical Physics

[23] ai.viXra.org:2604.0106 submitted on 2026-04-30 22:35:33 , (355 unique-IP downloads)

Relativistic Field Theory of Primes (RFTP): from the 691 Topological Defect to Unified Number Theory, Classical Mechanics, Quantum Mechanics, and Gravitation and an Approach to the Riemann Hypothesis

Authors: J. W. McGreevy
Category: Number Theory

[22] ai.viXra.org:2604.0068 submitted on 2026-04-18 01:00:30 , (255 unique-IP downloads)

The Relativistic Field Theory of Primes: Hamiltonization as Principalization An Arithmetic Variational Framework Unifying Classical Mechanics with Number Theory, Quantum Mechanics, and Gravity

Authors: J. W. McGreevy
Category: Number Theory

[21] ai.viXra.org:2604.0024 submitted on 2026-04-07 19:17:11 , (494 unique-IP downloads)

The Relativistic Field Theory of Primes: Universal Cohomological Object that Unifies Number Theory and Mathematical Physics with the Emergence of Relativistic Quantum Field Theory, Quantum Entropic Gravity, and Classical Spacetime

Authors: J. W. McGreevy
Category: Mathematical Physics

[20] ai.viXra.org:2604.0010 submitted on 2026-04-03 20:54:40 , (289 unique-IP downloads)

The Mobius Twist as Intrinsic Planck Constant: Motivic Quantization of the Adelic Phase Space and the Emergence of Spacetime, Charge, and Thermodynamics in the Relativistic Field Theory of Primes

Authors: J. W. McGreevy
Category: Mathematical Physics

[19] ai.viXra.org:2603.0049 submitted on 2026-03-12 02:40:35 , (631 unique-IP downloads)

Relativistic Field Theory of Primes: An Adelic Approach to the Hilbert—P´olya Conjecture and the Riemann Hypothesis

Authors: J. W. McGreevy
Category: Mathematical Physics

[18] ai.viXra.org:2602.0095 submitted on 2026-02-19 19:48:12 , (373 unique-IP downloads)

Arithmetic Relativistic Emergence (ARE) as General Relativity of Numbers: Weierstrass Weights, Arakelov Curvature, and Equivalence Principle Analogue

Authors: J. W. McGreevy
Category: Mathematical Physics

[17] ai.viXra.org:2602.0059 submitted on 2026-02-12 19:18:54 , (265 unique-IP downloads)

Arithmetic Relativistic Emergence (Are): Spontaneous Symmetry Breaking from the Zeta Vacuum to Emergent Spacetime Geometry, Topology, and Quantum Fields

Authors: J. W. McGreevy
Category: Number Theory

[16] ai.viXra.org:2602.0043 submitted on 2026-02-10 02:21:23 , (722 unique-IP downloads)

Arithmetic Emergence of Generalized Relativity, Classical Spacetime and Quantum Fields from Number Theory: Balanced Dispersion of the Arithmetic Degree Induced by the Weight-12 Modular Discriminant

Authors: J. W. McGreevy
Category: Number Theory

[15] ai.viXra.org:2512.0086 submitted on 2025-12-25 22:21:54 , (347 unique-IP downloads)

Geometric Resolution Quantum Field Theory (GRQFT): Sequential Exhaustion of the Arithmetic Orbifold, Monstrous Moonshine, and the Unification of Physics with the Riemann Hypothesis

Authors: J. W. McGreevy
Category: Number Theory

[14] ai.viXra.org:2512.0010 submitted on 2025-12-03 21:19:45 , (241 unique-IP downloads)

Spacetime, the Standard Model, and All of Physics from Archimedean Exhaustion of the Arithmetic Circle [?]

Authors: J. W. McGreevy
Category: Mathematical Physics

[13] ai.viXra.org:2512.0004 submitted on 2025-12-01 16:56:15 , (242 unique-IP downloads)

Emergence of Classical Spacetime and the Complete Standard Model from Archimedean Exhaustion of the Arithmetic Circle Within Moonshine: Generalized Relativistic Quantum Field Theory

Authors: J. W. McGreevy
Category: Mathematical Physics

[12] ai.viXra.org:2511.0075 submitted on 2025-11-23 00:09:56 , (336 unique-IP downloads)

The Hydrogen Atom Spectrum as Monstrous Moonshine:A Numerical Coincidence and Theoretical Interpretation

Authors: J. W. McGreevy
Category: Mathematical Physics

[11] ai.viXra.org:2511.0031 submitted on 2025-11-10 21:25:44 , (354 unique-IP downloads)

GRQFT: An Entropic Arithmetic Gauge Theory over Spec(Z) Unifying Quantum Fields, Gravity, and Electromagnetism via Cohomological Failures and Entropy Maximization

Authors: J. W. McGreevy
Category: Mathematical Physics

[10] ai.viXra.org:2510.0076 submitted on 2025-10-30 20:35:45 , (224 unique-IP downloads)

Foundations of GRQFT: The Polarization Identity, the Third Quadratic, the Higgs Field, and Monstrous Moonshine in GRQFT — Part X

Authors: J. W. McGreevy
Category: Mathematical Physics

[9] ai.viXra.org:2510.0053 submitted on 2025-10-23 00:19:44 , (302 unique-IP downloads)

Foundations of GRQFT, Part IX: From Geometric-Representation to a Generalized Relativistic Quantum Field Theory

Authors: J. W. McGreevy
Category: Number Theory

[8] ai.viXra.org:2510.0043 submitted on 2025-10-19 23:00:24 , (262 unique-IP downloads)

Foundations of GRQFT: Rydberg-Ritz Combination Principle, Quadratic Forms, and Approaching Arithmetic Quantum Mechanics from Spec(z) — Part Viii

Authors: J. W. McGreevy
Category: Number Theory

[7] ai.viXra.org:2510.0037 submitted on 2025-10-14 21:07:16 , (257 unique-IP downloads)

Foundations of GRQFT: Categorical Mapping of Automorphic Induction and Quadratic Dispersion Relations -- Part VII

Authors: J. W. McGreevy
Category: Number Theory

[6] ai.viXra.org:2510.0027 submitted on 2025-10-11 22:44:53 , (294 unique-IP downloads)

Foundations of GRQFT: Quadratic Unification and Spectral Dynamics - Yoneda Embedding and Laplace Dispersion in GRQFT -- Part VI

Authors: J. W. McGreevy
Category: Number Theory

[5] ai.viXra.org:2510.0020 submitted on 2025-10-09 17:34:03 , (258 unique-IP downloads)

Foundations of GRQFT: Quadratic Unification, Dispersion Relations, and Pre-Planck Dynamics -- Part V

Authors: J. W. McGreevy
Category: Number Theory

[4] ai.viXra.org:2510.0017 submitted on 2025-10-08 03:13:31 , (325 unique-IP downloads)

Foundations of GRQFT: Diffeomorphism Invariance, Metric Evolution from the Field with One Element to Classical Spacetime in the Threefold Way -- Part IV

Authors: J. W. McGreevy
Category: Number Theory

[3] ai.viXra.org:2510.0012 submitted on 2025-10-07 17:55:27 , (237 unique-IP downloads)

Foundations of GRQFT: The Runge-Lenz Vector, Johnson-Lippmann Operator, and Binary Quadratic Forms in the Threefold Way -- Part III

Authors: J. W. McGreevy
Category: Number Theory

[2] ai.viXra.org:2510.0007 submitted on 2025-10-05 02:51:14 , (277 unique-IP downloads)

Foundations of GRQFT: Elliptic Torsion, the $i$-Cycle Bundle, and Hidden Symmetries in the Threefold Way -- Part II

Authors: J. W. McGreevy
Category: Number Theory

[1] ai.viXra.org:2509.0047 submitted on 2025-09-17 18:57:52 , (484 unique-IP downloads)

The Threefold Way: Derivation of the Standard Model's Three Generations from the Monster Group

Authors: J. W. McGreevy
Category: Number Theory