Model scope (clarification). Physical spacetime is Lorentzian 3+1 (Minkowski/FRW). K3 is an internal, compact geometric sector that fixes inputs (couplings, selection rules, finite spectral terms). We do not identify K3 with the whole spacetime nor assume a Lorentzian K3. All phenomenology is 3+1-D; K3 enters only through effective parameters.
Testing Protocol Overview
Clear experimental targets that can validate or falsify the framework claims.
🔬” LISA Target
See LISA page for complete search protocol.
Falsification Criteria
- No line in ±0.0003 mHz band around 3.2000 mHz
- Amplitude upper limits below minimal predicted band
- Failure to maintain coherence over nominal mission duration
âš™ï¸ Framework Fundamentals
Core geometric and mathematical foundations - see individual pages for details.
What Would Falsify the Framework
- Wrong geometry: Discovery that K3 is not the selected manifold
- Observable α›Â² divergences: Detection of scheme-independent quartic terms in gravitational observables
- Selection failure: Demonstration that resistance minimization doesn't select χ=24
- Inconsistent constants: K3 spectral inputs leading to contradictory physical parameters
How We Would Know We're Wrong
Mathematical Inconsistency
Internal contradictions in EEq formalism or K3 selection logic
Experimental Contradiction
Clear disagreement with high-precision measurements (LISA, α±, etc.)
Alternative Explanation
Simpler theory explaining same phenomena without geometric selection
Computational Failure
Inability to complete spectral calculations with claimed precision