The open encyclopedia for CPT Physics
Working one-force unified-field (UFT) framework — a documented, multi-domain alternative programme to multi-force SM+QG packaging, with open residuals listed.
Confined Photon Topology / A-GEOM. Every result is integrity-tagged [E] [M] [O] [F]. Hub for doctrine and papers; sector sites tell the stories.
How to read results on this site
Abelian Geometry
A-GEOM is the research programme underlying this site: the derivation of particle physics from Abelian geometric structures — the commutative group objects that naturally host torus knots. These include the 3-sphere S³ with its Clifford torus T² = U(1)×U(1), the 7-sphere S⁷ with its Hopf fibration, and the Abelian winding-number lattice that classifies particle types. All source research documents carry the prefix a_geom_ to identify them as part of this programme. The A-GEOM programme has two parallel tracks: G-SPEC (flavour and mass spectrum from the 8D Fano / octonion structure) and the S⁷ generation track (Hopf descent, Koide Z₃, and Weber self-force). Both feed into the Confined Photon Topology (CPT) framework presented here.
Nine sections
Each section is a modular reference. Start anywhere. Every page links to its source documents and related pages across the framework.
Foundations
S³ universe, Clifford torus particles, Hopf fibration, Weber force introduction, ontology freeze, Rule C.
Electrodynamics
Weber force law, confined photon, charge quantisation. Fine-structure α remains an INPUT leftover, not a 137-formula.
Gravity
EM–gravity double copy, Mach closure, G as a convention-conditional Mach package [M/P], mass as EM drag.
Particles
Spin-½ from topology, Fermi–Dirac statistics, the electron, antiparticles, particle spectrum.
Nuclear
V4 nuclear engine (calibrated SEMF-class model), proton and neutron structure, mass splitting.
Cosmology
S³ cosmology, baryogenesis, Hubble parameter, CMB structure, dark matter candidates.
Validation
Integrity dashboard, G prediction, known failures, open problems, validation philosophy.
Software
V4 Nuclear Engine (Python · zero dependencies), TypeScript API. Free download.
Community
Submit research, AI pre-screening, framework constitution, published community results.
Philosophy
The framework belongs to everyone
Every derivation on this site is free to read, link, and build on under CC-BY 4.0. The source research documents — working mathematics, integrity-tagged findings, and open problems — are directly accessible via the Research Library.
The Community Platform (Phase 4) will allow researchers to submit extensions to the framework. Submissions are AI pre-screened for ontology compliance, duplicate detection, and integrity-tag consistency before human confirmation.
Applied technologies developed from this framework are stewarded commercially by CPT Technologies. This site — the physics, software, and tools — is free and openly available to everyone.
Software · Nuclear Engine
V4 Nuclear Binding Engine
Topological nuclear binding energy model from torus-knot topology. A calibrated SEMF-class engine in Python, with no dependencies.
For analysts
How to read this site
Live claims are on the status board. Homepage cards are encyclopedia indexes, not closed theorems. Full path: /framework/how-to-analyse · machine map /llms.txt.
How to analyse this site
Fetch /status, then /framework, then /validation/open-problems, /validation/framework-comparison, /architecture, and /papers before quoting any derivation page, homepage highlight, or sister site.
- Status board /status
- What this is / is not /framework
- Open frontiers /validation/open-problems
- Framework comparison protocol /validation/framework-comparison
- Three-book architecture /architecture
- Papers catalogue /papers
Do not
- · treat homepage section cards as closed theorems. α remains INPUT; G is a convention-conditional Mach package [M/P]; V4 is a calibrated SEMF-class model. Read /status first.
- · claim α is derived. α is INPUT (a leftover). α = tan β is a geometric reading, not a 137-formula.
- · claim continuum hold is closed. Hold is OPEN (one-seat packaging). The local one-seat/thin-seat programme is parked, not closed. Two-seat Darwin / Maxwell recovery does not close it. Hopfion/ACT is not hold.
- · mint local m_e from hold, dual cancel, Green self-energy, or a compact-core fixed point.
- · treat leftover-dressed numbers (quantities that ingest α, including some pitches and moment fits) as zero-parameter geometric theorems.
Scope (Doctrine v1.1.5)
CPT aims to become capable of the laboratory measurements used to support the Standard Model and QED — and to provide equivalence to those numbers. It does not owe SM/QED ontology, and it is not a present replacement certificate.
Two leftovers · seven frontiers
A 3-slice has two leftovers downstairs: one dimensionless electromagnetic coupling (α) and one length. {c, ℏ, ε₀, e} are SI clothes of those two. They are INPUT / access, not the same homework as the seven open frontiers.
Seven genuine physics frontiers: one-seat hold, hard bulk–face join, visibility, spin growth-rate, Foot δ/K/L, native heavy membership, and smash-fragment census if asked. Paper I/II submit is PARKED process, not an eighth frontier. α and local m_e are leftovers, not frontiers. Local hold programme parked; F1 chip stays OPEN.
Where help is welcome →Residual chips (Doctrine v1.1.5)
- Continuum holdOPEN
- Hard bulk–face E=mc² joinOPEN
- Fine-structure αINPUT
- S⁷ Foot angle δOPEN
- S⁷ Foot K/LOPEN