Shadow Theory and the Wilson Yang–Mills Construction: A Source–Readout Reconstruction

Name: Shadow Theory and the Wilson Yang–Mills Construction: A Source–Readout Reconstruction
Author: Jeremy Rodgers

Jeremy Rodgers

doi:10.5281/zenodo.24173681

Source Lift / Complete reading edition

Recovering Yang–Mills through Shadow Theory.

Shadow Theory constructs a connected realization of the Wilson Yang–Mills argument: its configurations, measures, effective quantities, physical fields and operator correlations, with explicit recovery maps and compatible operations throughout.

Jeremy Rodgers · Independent Researcher · 2026-11-12
Shared publication DOI: 10.5281/zenodo.24173681

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Shadow Theory and the Wilson Yang–Mills Construction: A Source–Readout Reconstruction

Shadow Theory constructs a connected realization of the Wilson Yang–Mills argument: its configurations, measures, effective quantities, physical fields and operator correlations, with explicit recovery maps and compatible operations throughout.

A configuration, an effective action and a physical field are different readouts. Recovering the final expression is only part of the task. Shadow Theory makes their relationship explicit: sections show which target objects are covered, fibres identify what is discarded, and operation identities establish how the construction passes through each layer.

Jeremy Rodgers originated Shadow Theory, the source–readout architecture and the Source Lift protocol, and directed this reconstruction with AI assistance. The mathematical input is the expanded translation of OpenAI’s underlying Lean Yang–Mills work. The chapters develop the complete realization and recovery argument alongside its Yang–Mills derivations.

The gauge group, faithful representation, four-dimensional Wilson law and stated analytic hypotheses are inputs. The full fixed-period mesh limit precedes the permitted outer volume extraction. The centered trace and comparison exclusions retain their own hypotheses; a positive mass gap is not a conclusion of these editions.

The Einstein reconstruction develops the same discipline in classical gravity →

The argument in full

Source: Shadow Theory and the Wilson Yang–Mills Construction: A Source–Readout Reconstruction. Both papers belong to one Zenodo record. No external funding.

Shadow Theory and the Wilson Yang–Mills Construction: A Source–Readout Reconstruction

The argument in full

The contribution and the reading path

Introduction

Source–readout and reflective mathematics: the objects and the task

Provenance and mathematical contract

The supplied public conclusion and its recovery target

Inherited analytic conventions

Native admission, literal preparation and the realized sector

Finite-lattice realization and exact recovery

The source support of the realized family, its lift groupoid and its interfaces

Activity domains, ordered derivatives and absolute budgets

Finite reflection positivity and rooted bounds

Quadratic ultraviolet kernels and comparison

Quadratic ultraviolet kernels and comparison · Part 2

Quadratic ultraviolet kernels and comparison · Part 3

Local nonlinear geometry and Haar realization

Local nonlinear geometry and Haar realization · Part 2

Local nonlinear geometry and Haar realization · Part 3

Local nonlinear geometry and Haar realization · Part 4

Local nonlinear geometry and Haar realization · Part 5

Local nonlinear geometry and Haar realization · Part 6

Local nonlinear geometry and Haar realization · Part 7

Marked integration and coupling reset

Marked integration and coupling reset · Part 2

Marked integration and coupling reset · Part 3

Marked integration and coupling reset · Part 4

Marked integration and coupling reset · Part 5

Marked integration and coupling reset · Part 6

14 The analytic stationary graph, loop moments and the cali- brated coupling history

14 The analytic stationary graph, loop moments and the cali- brated coupling history · Part 2

14 The analytic stationary graph, loop moments and the cali- brated coupling history · Part 3

14 The analytic stationary graph, loop moments and the cali- brated coupling history · Part 4

14 The analytic stationary graph, loop moments and the cali- brated coupling history · Part 5

14 The analytic stationary graph, loop moments and the cali- brated coupling history · Part 6

14 The analytic stationary graph, loop moments and the cali- brated coupling history · Part 7

14 The analytic stationary graph, loop moments and the cali- brated coupling history · Part 8

14 The analytic stationary graph, loop moments and the cali- brated coupling history · Part 9

14 The analytic stationary graph, loop moments and the cali- brated coupling history · Part 10

Convergence of interacting scale histories

Convergence of interacting scale histories · Part 2

Convergence of interacting scale histories · Part 3

Convergence of interacting scale histories · Part 4

Radial jets, calibrated labels and the free Maxwell comparison hierarchy

Radial jets, calibrated labels and the free Maxwell comparison hierarchy · Part 2

Radial jets, calibrated labels and the free Maxwell comparison hierarchy · Part 3

Radial jets, calibrated labels and the free Maxwell comparison hierarchy · Part 4

Physical labels and their detection

Physical labels and their detection · Part 2

The common continuum hierarchy

The common continuum hierarchy · Part 2

Phase decomposition and Wightman reconstruction

Phase decomposition and Wightman reconstruction · Part 2

Phase decomposition and Wightman reconstruction · Part 3

Phase decomposition and Wightman reconstruction · Part 4

Phase decomposition and Wightman reconstruction · Part 5

Phase decomposition and Wightman reconstruction · Part 6

Phase decomposition and Wightman reconstruction · Part 7

Phase decomposition and Wightman reconstruction · Part 8

Separated and nested operator products

Separated and nested operator products · Part 2

Separated and nested operator products · Part 3

Extension across collision sets

Extension across collision sets · Part 2

Extension across collision sets · Part 3

Gaussian short-distance comparison

Gaussian short-distance comparison · Part 2

Gaussian short-distance comparison · Part 3

Finite stress, scaling maps and shell charges

Finite stress, scaling maps and shell charges · Part 2

Finite stress, scaling maps and shell charges · Part 3

The centered trace and its comparison exclusions

The centered trace and its comparison exclusions · Part 2

The centered trace and its comparison exclusions · Part 3

Exact stress correction and local quantitative estimates

Exact stress correction and local quantitative estimates · Part 2

Exact stress correction and local quantitative estimates · Part 3

Position coupling, real remainders and equation markers

Position coupling, real remainders and equation markers · Part 2

Common-family assembly of the supplied conclusion