validation

Open

Open Problems

The prioritised research queue. These are the most important unsolved problems in the CPT framework — ranked by their impact on the framework's completeness.

This is the living register of open problems. Unlike the broader integrity dashboard which lists all claims, this page highlights only the [O]-tagged problems that most critically require resolution.

Eigenvalue challenges on curved spaces are a common theme.

Critical Problems (Blocking other results)

OP-01 | Asymmetry Carrier Mechanism

Problem statement: What converts the CS rate asymmetry into baryon orientation?

Why it matters: This completely blocks the baryogenesis completion step.

Current status: [O]

Best lead: BN4 programme; topological current analysis.

OP-02 | Octonion Flavour Dictionary

Problem statement: Find explicit quark flavour assignments.

Why it matters: Blocks quark mass predictions.

Current status: [O]

Best lead: Mapping octonion imaginary basis directly to colour/flavour structures.

OP-03 | 3D Thin-Tube Eigenvalue Problem

Problem statement: Resolve the R-seat-tube residual from the TD4 programme.

Why it matters: Blocks precise Weber self-force calculation.

Current status: [O]

Best lead: 3D TME on torus neighbourhood.

High Priority

OP-04 | Full Alpha Derivation

Problem statement: Derive the exact numerical value of purely from geometry.

Why it matters: Wave-mech scaling is [E], but the geometric prefactor remains [M].

Best lead: Wave-mechanical route, combined with geometric prefactor from Clifford torus embedding.

OP-05 | Proton Mass from

Problem statement: Derive rigorously from torus knot geometry.

Why it matters: Determining if this is a numerical coincidence or a deep topological result.

Best lead: Knot energy lattice geometry calculations.

OP-06 | Mass Hierarchy (Muon/Tau)

Problem statement: Derive from confined photon excited states.

Best lead: Investigating the excited mode spectrum.

OP-07 | CMB Quadrupole Suppression

Problem statement: Demonstrate how topology suppresses the mode in agreement with Planck data.

Best lead: Evaluating the Laplacian spectrum directly.

Important but Longer-term

  • OP-08: Neutron Lifetime — derive s from Weber transition rate. This currently blocks the nuclear beta decay programme.
  • OP-09: Dark Matter Account — rigorously show that the geometry fully accounts for galaxy rotation curves without requiring new particle dark matter.
  • OP-10: Varying-G Constraints — reconcile the prediction with LLR lunar laser ranging bounds .

Evolution of G with time

How to Contribute

Want to tackle one of these problems? Read the Community Constitution to understand our standards for proof, then head over to Submit Contributions.

Source Documents

The primary research documents underlying this page. All files are freely viewable and downloadable. They represent the working research as written — including integrity tags, equations, and finding IDs.

Documents open in the CPT Research Library — a formatted viewer for all source research files.