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Technical paper Broad synthesis. Spacetime + Einstein Full gravity chain. Standard Model Both gauge routes. Particles Spectrum lane. Continuation Observer and record questions.
Observer Patch Holography

The papers.

The formal record behind the public explanation of OPH.

Start with the short overview or flagship paper. Each page states what it covers and where its physical interpretation remains open.

All Papers

Choose a question, then follow the evidence.

Each entry has a readable web version and a PDF. The papers carry the equations, premises, and full proof boundaries.

Gauge structure

Deriving Standard Model Gauge Structure from Observer Overlap Consistency

Examines two mathematical routes from observer overlap to the symmetry structure used by the Standard Model. The physical identification of that structure is an open question.

Standard Model gauge group, gauge reconstruction, icosahedral symmetry, Tannaka reconstruction

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Particles

Deriving the Particle Zoo from Observer Consistency

Explores whether the observer-consistency framework can account for particles and physical constants. Several comparisons are mathematical or conditional, and their connection to measured physics remains open.

particle spectrum derivation, Standard Model particles, fine-structure constant, quark masses

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Flagship reconstruction paper

Finite Observer Consensus as a Reconstruction Principle: Normal Forms, the Standard Model Lie Type, and a Route to the Einstein Field Equation

The flagship technical account of Observer Patch Holography. It develops finite consensus normal forms, Standard Model Lie-type reconstruction, and a conditional route to the Einstein field equation, with the physical identification steps stated separately.

Observer Patch Holography, OPH, quantum gravity, Standard Model

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Observer-first synthesis

Observers Are All You Need

A compact synthesis of Observer Patch Holography: finite observer repair, a source-derived informational poset, the exact rank-three signed-record carrier, and conditional routes to Lorentzian gravity and Standard Model structure, with the remaining physical attachments stated explicitly.

Observer Patch Holography, observer-first physics, source-derived causal poset, causal sets

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de Sitter physics

The de Sitter Time-Advance Sign from a Finite Screen with Fixed Capacity

Derives finite entropy, capacity-transfer, analytic-curvature, and graph-spectrum identities that conditionally reproduce the de Sitter time-advance sign. The gravitational shock dictionary and coefficient remain separate physical inputs.

de Sitter horizon, time advance, finite screen capacity, generalized entropy

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Flavor structure

The Positive-Chamber Koide Identity for Icosahedral Face Circulants

Proves the exact Koide invariant for positive Hermitian C3 face circulants and isolates the balance condition that yields Q = 2/3. The finite GNS implication and tau-mass window are conditional; no physical lepton-family attachment or source-only mass prediction is claimed.

Koide identity, circulant matrices, C3 symmetry, icosahedral symmetry

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Mathematical foundations

Observation-Determined Normal Forms: Stability, Obstructions, and Refinement in Constraint and Rewrite Systems

A substrate-neutral mathematical paper separating same-source confluence, cross-source identification from protected observations, liveness, and local repairability, with quantitative stability and refinement criteria.

abstract rewriting, observation-determined normal forms, confluence, boundary reconstruction

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Concept Routes

Reading routes.

These routes connect familiar questions to the relevant paper.

Blog Backlinks

Public essays that point readers back into the papers.

The blog gives non-specialists a route into the formal stack. These links also make the OPH paper graph easier for search engines to crawl.