GitHub - FloatingPragma/observer-patch-holography: OPH is an active research program aiming to construct a fundamental theory of physics from observer consistency.

Observer Patch Holography starts from a simple restriction: no observer sees the whole world at once. Each observer gets only a local patch, and neighboring patches have to agree where those patches overlap. The question is how much physics can be forced from that fact alone.

French version: README_FR.md

Quick links: OPH Textbooks | Reverse Engineering Reality | website | OPH Lab

OPH is a reconstruction program for fundamental physics. It starts from finite observers on a finite holographic screen. Its working basis is quantum-algebraic: patch algebras, states, trace/Born event probabilities on declared record surfaces, and generalized entropy are part of the formal starting point. The program is not a demand to derive every mathematical ingredient from first principles. Its goal is to construct a consistent and comprehensive theory of everything by using that algebraic-information basis to recover the observed effective universe: spacetime, gauge structure, particles, records, and observer synchronization are treated as consequences of overlap consistency, not as primitives.

The operational claim is sharper than "information is fundamental." OPH models reality as an observer-based fixed-point consensus process. Finite observer patches carry local records, compare only what their overlaps expose, repair mismatches through declared recovery moves, and settle into stable fixed points that survive refinement. The public world is the overlap-stable output of that process. In this sense, OPH treats reality as a computational process, not as a static stage on which computation merely happens.

What OPH Delivers

Most theories begin by assuming spacetime, quantum fields, and a list of constants. OPH starts one step earlier than spacetime and quantum field theory, with finite observers on a finite quantum-algebraic holographic screen whose descriptions have to agree where their patches overlap. Push that requirement hard enough and a 3+1-dimensional Lorentzian spacetime emerges, together with a Jacobson-style Einstein equation and the realized Standard Model quotient $SU(3)\times SU(2)\times U(1)/\mathbb Z_6$, including the exact hypercharge lattice, the realized color triplet $N_c=3$, and the generation count $N_g=3$. Quantum mechanics is treated as the algebraic information language carried by the OPH architecture. The reconstruction test is whether that basis coherently recovers the effective universe, not whether every mathematical ingredient has been derived from an empty starting point.

The mechanism is the fixed-point consensus loop. Local observers do not access a global state from outside. They carry finite patch states, exchange overlap-visible data, reject inconsistent continuations, and keep the stable patterns that can be synchronized. Geometry, particles, laws, and records are the large-scale fixed points of that observer-network computation.

The scale is set by two quantities: the total screen capacity read from the de Sitter horizon and the local pixel ratio (P), the area of one screen cell in Planck-area units. For the observed cosmological constant, the bare horizon area ratio is about (1.05\times10^{122}), while the entropy capacity used by OPH is about (3.31\times10^{122}). From the outside, (P) is a geometric cell size slightly above the golden-ratio self-similar balance. From the inside, it becomes the smallest electromagnetic observation scale available to observers in the world encoded on that screen. The fine-structure lane asks for the nonzero detuning of a holographic screen cell such that the cell's outer geometric displacement equals the electromagnetic observation scale emitted by the universe living on that same screen. The public solution is (P\simeq1.6309682094), with (\alpha^{-1}(0)=137.035999177(21)) and (\alpha(0)\simeq0.00729735256433). The same fixed-point geometry is also probed in a separate optical-cavity hardware note.

The same local pixel scale drives the gravity readout, the fine-structure closure, gauge structure, scoped particle-mass rows, records, and observer synchronization. The particle pipeline carries that scale into the weak sector, the Higgs lane, selected-class quark rows, and the weighted-cycle neutrino branch. Hadrons require either the OPH strong-binding backend or an explicitly marked empirical hadron closure. The operating policy for those rows is in HADRON.md.

Selected Quantitative Rows

This table keeps the rows that are easiest to compare directly with PDG and NIST values. Structural results such as the 3+1-dimensional Lorentzian spacetime, the Standard Model quotient (SU(3)\times SU(2)\times U(1)/\mathbb Z_6), the exact hypercharge lattice, the realized color triplet (N_c=3), and the generation count (N_g=3) live in the papers. The quick view here sticks to direct numeric rows and exact zeros.

Quark sector

(\Delta) reports the sigma distance where PDG or NIST quotes a one-standard-deviation uncertainty. Otherwise it records "match" or "below bound".

For quarks, PDG uses its standard mass conventions: u, d, and s at 2 GeV, with c and b in the MS scheme at their own mass scale. The papers also carry the structural Standard Model derivations listed above and a neutrino family, but those do not collapse to one simple PDG or NIST row and are left out of this table.

The particle surface also reports (W/Z) values (80.377,\mathrm{GeV}) and (91.18797809193725,\mathrm{GeV}), a Higgs value (m_H=125.1995304097179,\mathrm{GeV}), and a selected-class top value (m_t=172.35235532883115,\mathrm{GeV}) using the PDG cross-section top-mass convention. The weighted-cycle neutrino branch emits ((0.017454720257976796, 0.019481987935919015, 0.05307522145074924),\mathrm{eV}) on its declared branch.

Local Unification Surface

The local unification surface is organized around the public pixel ratio (P\simeq1.6309682094) and one local cell area. On that surface the same scale touches the electroweak comparison lane, the Higgs lane, the gravity-side entropy relation, and the familiar unit readout for meters, seconds, GeV, and Kelvin. The diagram below shows how those pieces sit on one scale. The detailed formulas and claim tiers live in the papers.

OPH Stack

_{The main OPH line from axioms to relativity, gauge structure, particles, and observers. Click to open the full SVG.}

Particle derivation stack

_{A compact view of the particle lane. Click to open the full SVG.}

Papers

• Paper 1. Observers Are All You Need: broad synthesis of the OPH reconstruction program, from finite observers to the recovered effective universe.
• Paper 2. Recovering Relativity and the Standard Model from Observer Overlap Consistency: compact technical core for relativity, gravity, and realized Standard Model structure from overlap consistency.
• Paper 3. Deriving the Particle Zoo from Observer Consistency: particle derivations, mass rows, coupling structure, and the quantitative comparison surface.
• Paper 4. Reality as a Consensus Protocol: fixed-point repair dynamics, record stability, and the consensus picture of public reality.
• Paper 5. Screen Microphysics and Observer Synchronization: finite screen architecture, records, recovery moves, and observer synchronization.

Supplemental Papers

• Breaking SHA-256 with Physics (TeX): physical constraint search for SHA-256d proof of work.
• The Fine-Structure Constant as an OPH Pixel Fixed Point (TeX): fixed-point derivation of the fine-structure row.
• Observer-Patch Holography and the Dark Matter Phenomenon (TeX): dark-matter phenomenology and MOND-like galaxy limit.
• Thinking as Patch-Net Fixed-Point Search (TeX): cognition and qualia as recurrent patch consensus.

More

• Website: floatingpragma.io/oph
• Theory explainer: floatingpragma.io/oph/theory-of-everything
• Simulation-theory explainer: floatingpragma.io/oph/simulation-theory
• Blog essay: P = NP on the Observer Screen: frames OPH as a model of computation built from patches, overlaps, mismatch syndromes, repair moves, and stable records. The essay uses proof-of-work mining as a concrete example and treats P = NP as an observer-screen slogan, not a claim to solve the classical complexity problem.
• Book: oph-book.floatingpragma.io
• Guided study app: learn.floatingpragma.io
• Questions and detailed explanations: OPH Sage on Telegram, X, or Bluesky
• Lab: oph-lab.floatingpragma.io
• Common objections: extra/COMMON_OBJECTIONS.md
• IBM Quantum note: extra/IBM_QUANTUM_CLOUD.md

Status Table

The fine-structure display row uses the fixed-point value (\alpha^{-1}(0)=137.035999177(21)) and (P\simeq1.6309682094). The source-side audit and endpoint residual records live in the particle paper, where they are kept separate from the public fixed-point row.

The weak-boson pair is a validation row. Charged-lepton absolute masses are target-anchored witness rows. The auxiliary direct-top average is a validation row. Hadron-controlled rows use the policy in HADRON.md: source-only OPH values stay separate from OPH plus empirical hadron closure values carried by the empirical (e^+e^-\to\mathrm{hadrons}) payload class.

Strong CP is work in progress in the selected-class quark theorem: the available corpus does not derive the QCD theta angle, does not emit the physical strong-CP angle, and does not prove that the physical strong-CP phase vanishes. The required bridge is the phase, anomaly, and topological-angle descent on the realized branch.

Repository Guide

• paper/: PDFs, LaTeX sources, and release metadata.
• book/: OPH Book source and generated downloadable PDF. Print-PDF build notes live in book/README.md.
• code/: computational material, particle outputs, and experiments.
• HADRON.md: policy for QCD-limited particle rows, empirical (e^+e^-\to\mathrm{hadrons}) input, and fine-structure hadron closure.
• assets/: public diagrams and figures.
• extra/: maintained public notes such as objections, experimental write-ups, and selected supporting essays.

OPH and the Sciences

_{A domain -> subdomain -> OPH-area map spanning mathematics, computer science, information and inference, complex systems, theoretical physics, quantum information, and measurement foundations. Click to open the full poster PNG.}