validation
ForbiddenKnown Failures
All [F]-tagged results in the CPT framework — claims that were tested and found to be forbidden. Science requires honesty about what doesn't work. This page is the ground truth for what the framework does NOT predict.
A theory that cannot be falsified is not science. This page documents every major result or hypothesis that was explicitly tested and found to fail within the constraints of the CPT framework.
Claims tagged as [F] (Forbidden) cannot be submitted as new community contributions without a comprehensive explanation of why the previous failure analysis no longer applies.
Action-at-a-distance limit (fails to predict retardation)
| ID | Claim | What was tested | Why it failed |
|---|---|---|---|
| KF-01 | Exact action-at-a-distance (no retardation) | Tested as a mathematical simplification to speed up calculations. | Fails because the Weber force has explicit finite-speed propagation built into the term. True action-at-a-distance () yields no radiation and no effective mass. |
| KF-02 | Flat R³ universe with Mach principle | Testing Mach's principle in a standard infinite background. | The Mach sum diverges for any infinite uniform distribution. A flat universe cannot mathematically satisfy Mach's principle. topology is strictly required. |
| KF-03 | QFT vacuum energy → cosmological constant | Attempting to map the standard QFT vacuum energy to the cosmological constant . | The QFT vacuum energy () is 120 orders of magnitude too large. CPT has no fundamental fields and no QFT vacuum, so this "problem" does not exist to be cancelled. |
| KF-04 | Magnetic monopole dark matter | Searching for topological magnetic monopoles as a dark matter candidate. | Requires a topological singularity in the Hopf fibration at a single point. No such smooth singularity can exist within . |
| KF-05 | Neutrino as T(1,0) or T(0,1) | Modeling the neutrino as a simple circle knot. | and are trivial circles, not knots. A massless fermion in CPT cannot be a torus knot. The neutrino may be a Weyl spinor on without a particle seat ([O]), but specifically is strictly [F]. |
T(1,0) reduces to an unknot
What is NOT a failure?
It is important to clarify that [M] (Mathematical) and [O] (Open) claims are not failures. They are simply incomplete derivations or hypotheses requiring further rigorous proof. Only claims explicitly tested and contradicted by the internal logic of the framework are marked [F].
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.