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Observer Patch Holography (OPH)

Observer Patch Holography starts from one claim: no observer sees the whole world at once. Each observer accesses only a local patch, and neighboring patches must agree on their overlap. OPH asks how much physics can be reconstructed from that starting point once the full axiom and branch ledger is made explicit.

French version: README_FR.md

Quick links: website | OPH Textbooks | OPH Lab

OPH is a reconstruction program for fundamental physics. Spacetime, gauge structure, particles, records, and observer synchronization are treated as consequences of the OPH package rooted in overlap consistency on a finite holographic screen, together with the explicit branch premises stated in the papers.

What OPH Delivers

OPH is unusual because it tries to recover the shape of the world before it fits the numbers. At the structural level, it predicts the exact shape of the universe we appear to inhabit: a 3+1D Lorentzian spacetime, de Sitter static-patch cosmology on the gravity side, and the Standard Model quotient SU(3) x SU(2) x U(1) / Z_6 with the exact hypercharge lattice and the counting chain N_g = 3, N_c = 3.

The quantitative side is deliberately small. OPH uses only two calibrated inputs: the screen-pixel scale P = a_cell / l_P^2 and the total screen capacity N_scr = log dim H_tot, inferred from the cosmological constant. From that two-constant surface, OPH makes concrete numerical predictions for couplings, masses, and gravity-facing quantities instead of fitting each sector independently.

  • A finite-resolution theorem package for observer patches, collars, overlap repair, higher gauge structure, records, and checkpoint/restoration.
  • A conditional route to Lorentzian geometry, modular time, Jacobson-type Einstein dynamics, and de Sitter static-patch cosmology on the extracted prime geometric subnet; the Einstein branch uses fixed-cap stationarity, the null-surface bridge, and the separate bounded-interval projective branch, while the remaining UV/BW scaffold is geometric cap-pair realization on that subnet plus ordered cut-pair rigidity, with the eventual fixed-local-collar modular-transport common floor as the smallest lower blocker.
  • A conditional compact gauge route in the bosonic branch to the realized Standard Model quotient SU(3) x SU(2) x U(1) / Z_6, under the transportable-sector reconstruction premises and MAR, together with the exact hypercharge lattice and the realized counting chain N_g = 3, N_c = 3.
  • A particle program with exact structural massless carriers, a forward-emitted Phase II electroweak calibration branch with a closed target-free public W/Z theorem surface plus a compare-only exact frozen pair, a quantitative Higgs/top stage, an exact selected-class quark closure with explicit exact forward Yukawas, exact non-hadron mass surfaces, and explicit continuation lanes where theorem boundaries remain open.
  • A concrete screen-microphysics architecture that puts measurement, records, and observers inside the physics.

Precise Derivations

This condensed table keeps only OPH rows with either an exact match, a quoted sigma agreement, or a clean upper-bound success against the PDG/NIST reference values used in the papers. Structural results such as the 3+1D Lorentz branch, the Standard Model gauge quotient SU(3) x SU(2) x U(1) / Z_6, the exact hypercharge lattice, and the counting chain N_g = 3, N_c = 3 are stated in the papers and are not repeated here. The W/Z/H boson lane sits on the Phase II calibration branch, so it is discussed in the papers but omitted from this quick comparison.

Quantity Symbol OPH PDG/NIST Δ
Gravitational constant G 6.6742999959e-11 6.67430(15)e-11 0.00003σ
Speed of light c 299792458 299792458 (exact) match
Fine-structure (inv) α⁻¹(0) 137.035999177 137.035999177(21) match
Photon mass m_γ 0 eV <1e-18 eV below bound
Gluon mass m_g 0 GeV 0 GeV match
Graviton mass m_grav 0 eV <1.76e-23 eV below bound

Quark sector

Quark Symbol OPH PDG Δ
Bottom m_b(m_b) 4.183 GeV 4.183 ± 0.007 match
Charm m_c(m_c) 1.273 GeV 1.2730 ± 0.0046 match
Strange m_s(2 GeV) 93.5 MeV 93.5 ± 0.8 match
Down m_d(2 GeV) 4.70 MeV 4.70 ± 0.07 match
Up m_u(2 GeV) 2.16 MeV 2.16 ± 0.07 match

Δ reports the sigma distance where PDG or NIST quotes a one-standard-deviation uncertainty. Otherwise it records match or below bound.

For the quark rows, PDG uses its standard quark-mass conventions: u, d, and s at 2 GeV, and c and b in the MS scheme at their own mass scale. The papers also contain the structural Standard Model derivations listed above and a theorem-grade neutrino family, which are not included in this table because they do not have a single direct PDG/NIST one-number comparison row. The current public neutrino surface also includes theorem-grade physical Majorana phases on the shared-basis weighted-cycle transport branch; see code/particles/RESULTS_STATUS.md.

Charged leptons sit on a sharper theorem split. The repo carries an exact same-family witness, a conditional determinant-line lift on physical charged data, and an algebraic mass readout from theorem-grade absolute charged scale. The open theorem is the landing from the common calibration input P to physical charged data or the charged determinant line.

Local Unification Surface

OPH places a local unification surface around the calibrated local UV input. The same P-driven scale carries the electroweak boson and Higgs lane together with the gravity-side entropy lane, while the Lorentz branch supplies the invariant causal speed and the local readout package supplies the SI display. On the gravity side, the realized product-group branch identifies ellbar_shared = ellbar_SU(2) + ellbar_SU(3) = P/4, and the local SI readout is G_SI = c^3 a_cell / (hbar P) relative to the declared microscopic datum a_cell. On the public constants surface, hbar and k_B remain part of that downstream familiar-unit readout rather than standalone OPH-emitted constants.

OPH unification diagram

Particle status surfaces for this repo live in code/particles/RESULTS_STATUS.md and code/particles/EXACT_NONHADRON_MASSES.md.

Theorem stack and open fronts

OPH theorem stack and open proof fronts

The OPH stack from axioms to relativity, gauge structure, particles, observers, and the open proof fronts. Click to open the full SVG.

Particle derivation stack

OPH particle derivation stack

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

Papers

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Repository Guide

  • paper/: PDFs, LaTeX sources, and release metadata.
  • book/: OPH Book source.
  • code/: computational material, particle outputs, and experiments.
  • assets/: public diagrams and figures.
  • extra/: maintained public notes such as objections, experimental write-ups, and selected supporting essays.

OPH and the Sciences

A map of the sciences OPH overlaps with, from large domains to subdomains to concrete OPH application areas.

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.

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OPH is an active research program aiming to construct a fundamental theory of physics from observer consistency.

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