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.
For recovered-core theorem status and claim tier, consult Paper 2. Recovering Relativity and the Standard Model from the OPH Package Rooted in Observer Consistency first. Lane-specific claim tier remains with the corresponding companion papers, including Paper 3. Deriving the Particle Zoo from Observer Consistency, Paper 4. Reality as a Consensus Protocol, and Paper 5. Screen Microphysics and Observer Synchronization. This README, Paper 1, and the book are synchronized synthesis surfaces; they summarize and organize results but do not promote claim tier.
Most theories begin with spacetime, quantum fields, and a long list of free constants. OPH starts with a much smaller scene. An observer has access to one finite patch of a holographic screen. A neighboring observer has another patch. Physics is the requirement that these local descriptions agree where the patches overlap.
That single move leads surprisingly far. OPH recovers the broad shape of the world before it touches the detailed numbers. On the structural side, it yields a 3+1D Lorentzian spacetime, a Jacobson-style Einstein branch, and the realized 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 story is compact. OPH uses only two numbers. The first is the total screen capacity N_scr = log dim H_tot, read from the cosmological constant. The second is the local pixel ratio P = a_cell / l_P^2, the size of one screen cell in Planck areas.
P has a simple interpretation. The same cell is read in two ways. From the outside it is a pixel sitting slightly above the self-similar balance φ = (1 + sqrt(5)) / 2. From the inside it is the smallest electromagnetic observation scale available to observers in the simulated universe. P is the value where those two readings agree. The fixed-point proof is the mathematical certificate for that idea. It shows that the closure selects an admissible P on the physical interval.
Once N_scr and P are in place, the rest of the story runs forward. The same framework organizes gravity, gauge structure, the electroweak sector, the Higgs/top surface, the quark masses and Yukawas, neutrino structure, records, and observer synchronization. Charged-lepton absolute masses, the direct zero-momentum electromagnetic closure, and hadrons are work in progress.
That is what makes OPH different. It treats information and computation as the deeper layer, then derives the familiar world from there.
This condensed table keeps only OPH rows with either an exact match, a quoted sigma agreement, a
clean upper-bound success against the PDG/NIST reference values used in the papers, or one
explicitly labeled Phase II closure candidate. 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 quantitative-closure branch, so it is discussed in the papers but omitted from this quick
comparison. The fine-structure row is a Phase II P-closure candidate. The source-only transport
certificate for that row is pending.
| 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) | Phase-II P-closure candidate |
137.035999177(21) | certificate pending |
| 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, below bound, or the status of a declared candidate row.
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 public neutrino surface also includes theorem-grade physical Majorana phases on the
shared-basis weighted-cycle transport branch; see code/particles/RESULTS_STATUS.md.
The declared electroweak quantitative-closure surface also carries an exact source-only Higgs theorem with
m_H = 125.1995304097179 GeV and a companion top coordinate
m_t = 172.3523553288312 GeV on the same Jacobian surface.
At the precision quoted by PDG, the Higgs row lands on the 2025 Higgs average.
The exact public running-top row on the selected quark frame uses the PDG 2025 cross-section entry
Q007TP4.
The bridge to the auxiliary direct-top average Q007TP = 172.56 ± 0.31 GeV is open and tracked in
#207.
Charged leptons sit on a split claim tier. The repo carries an exact same-family witness, the same-label q_e readback, a source-side determinant character defined for a fixed source multiplicity vector, a conditional determinant-line lift on physical charged data, and an algebraic mass readout from theorem-grade absolute charged scale. The public theorem lane does not emit a theorem-grade sector-isolated charged determinant exponent vector, and it does not identify the source-side determinant character with the physical charged determinant line. Public electron, muon, and tau masses are therefore not emitted from P.
The local unification surface is organized around the local pixel ratio P on its declared Phase II closure surface. 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 familiar-unit package supplies meters, seconds, GeV, and Kelvin. On the stated local extension surface, the lifted product presentation of the realized quotient branch gives ellbar_shared = ellbar_SU(2) + ellbar_SU(3); the same D10 pixel law on that surface fixes ellbar_shared = P/4, and the gravity-side emitted row is G_SI = c^3 a_cell / (hbar P) relative to the declared microscopic datum a_cell.
The familiar-unit package on that surface is explicit: L_loc = sqrt(a_cell) * Lhat(P),
t_loc = sqrt(a_cell) * That(P) / c, E_loc = hbar c * Ehat(P) / sqrt(a_cell), and
Theta_loc = hbar c * Thetahat(P) / (k_B sqrt(a_cell)), with dimensionless branch outputs
Lhat, That, Ehat, Thetahat. So a_cell supplies the one local ruler, c is the
structural Lorentz output, and hbar and k_B are downstream familiar-unit display conventions
for GeV and Kelvin rather than standalone OPH-emitted constants.
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
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
A compact view of the particle lane. Click to open the full SVG.
- Paper 1. Observers Are All You Need: synthesis paper for the whole OPH stack; it organizes the suite on one surface and inherits claim tier from the compact recovered-core paper and the corresponding companion-paper ledgers. It does not upgrade them.
- Paper 2. Recovering Relativity and the Standard Model from the OPH Package Rooted in Observer Consistency: authoritative recovered-core and claim-tier surface for the Lorentz/gravity chain and the realized Standard Model structural branch.
- Paper 3. Deriving the Particle Zoo from Observer Consistency: particle derivation, exact-hit surface, and theorem-boundary map.
- Paper 4. Reality as a Consensus Protocol: fixed-point, repair, and consensus formulation.
- Paper 5. Screen Microphysics and Observer Synchronization: finite screen architecture, records, and observer machinery.
- Website: floatingpragma.io/oph
- Theory explainer: floatingpragma.io/oph/theory-of-everything
- Simulation-theory explainer: floatingpragma.io/oph/simulation-theory
- 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
paper/: PDFs, LaTeX sources, and release metadata.book/: OPH Book source. Print-PDF build notes live inbook/README.md.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.
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.