J. Scott LittleResearch Archive

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Research Notes

Explorations, reproductions, partial mechanisms, and open questions

The non-Mountain research-note corpus: mathematical experiments, mechanism notes, reproductions, provisional structures, and questions worth preserving.

Collection ID COLL-NOTESLifecycle: activeTheme: working-notes

Research-program map

Internal mathematical architecture

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Reading paths

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Editorial entry point

  1. Thick Wilson Loops in 2+1 Yang–Millsnote
  2. Research Note 0 — Why Yang–Mills Has Fibers: From Gauge Geometry to Fixed-Thickness Reconstructionnote
  3. Gauge Without a Slice: Gribov-Invisible Reconstruction, Hilbert-Module Descent, and Scale-Dependent Quantum Projectionnote

Proof architecture

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Definitions first

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Physics first

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Open problems

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Released research notebooks

Source-verified public notebook releases. Notebook codes are preserved separately from the older staged numbered-note identities.

noteThick Wilson Loops in 2+1 Yang–Millsresearch notebook · mixed · publicRead note →

Numbered Research Notes

The numbered website corpus is maintained independently of A View from the Mountain. A note may have a stable identity before its public PDF is released.

noteResearch Note 0 — Why Yang–Mills Has Fibers: From Gauge Geometry to Fixed-Thickness Reconstructionwebsite-staging · pendingOpen record →noteGauge Without a Slice: Gribov-Invisible Reconstruction, Hilbert-Module Descent, and Scale-Dependent Quantum Projectionwebsite-staging · pendingOpen record →noteAdmissible Refinement Fibrations in Algebraic Quantum Field Theory: Descent, Gerbe Incision, and Thick–Thin Spectral Transferwebsite-staging · pendingOpen record →noteAdmissible Refinement Rigiditywebsite-staging · pendingOpen record →noteWhen the Equations Outgrow the Spacewebsite-staging · pendingOpen record →noteThe Functional-Analytic Spine of the Yang–Mills Reconstructionwebsite-staging · pendingOpen record →noteThe Gerbe Was Already Therewebsite-staging · pendingOpen staging record →noteReflection Positivity on an Incised Euclidean Gerbewebsite-staging · pendingOpen staging record →noteA Theorem Needs a Habitatwebsite-staging · pendingOpen staging record →noteHaag’s Theorem, Interaction, and the Floor Beneath Uswebsite-staging · pendingOpen staging record →

Special / reproduction notes

Reproductions preserve provenance limits explicitly and do not replace the numbered research-note sequence.

noteWhen the Limit Forgot the Nervereproduction-note · publicRead note →

Other research notes

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Mathematical index

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