Observable detail · SPECTRAL
BEC reality test (gravity + quantum + time)
| Prediction | log₁₀(BF) = +4.34 across 5 sub-tests |
|---|---|
| Measured | all 5 sub-tests pass |
| Residual | strong evidence (Kass-Raftery) |
| Status | hit |
| Source paper | DCT-FND-V2 · 10.5281/zenodo.20032839 |
Mechanism
Hypothesise m_BEC = ħH_0/c² ≈ 1.44×10⁻³³ eV/c². Extract chemical potential μ independently from gravity (MOND scale a_† + healing length) and from time (Hubble timescale + Avrami transition). Real BEC requires c_s²=μ/m_BEC, ξ=ħ/√(2mμ), a_†=c_s²/ξ. Five sub-tests: (1) two-μ agreement (factor 3.5×, log_BF=+1.71); (2) BEC formation = Hubble time (ratio 3.17, log_BF=+1.74); (3) sound speed subluminal (c_s=0.56c, log_BF=+0.30); (4) condensate depth n·ξ³ strong (5.2×10¹⁰³, log_BF=+0.30); (5) coupling order (g(P)=0.020, log_BF=+0.30). Total log₁₀(BF) = +4.34.
Derivation
Hypothesise m_BEC = ħH_0/c² ≈ 1.44×10⁻³³ eV/c². Extract chemical potential μ independently from gravity (MOND scale a_† + healing length) and from time (Hubble timescale + Avrami transition). Real BEC requires c_s²=μ/m_BEC, ξ=ħ/√(2mμ), a_†=c_s²/ξ. Five sub-tests: (1) two-μ agreement (factor 3.5×, log_BF=+1.71); (2) BEC formation = Hubble time (ratio 3.17, log_BF=+1.74); (3) sound speed subluminal (c_s=0.56c, log_BF=+0.30); (4) condensate depth n·ξ³ strong (5.2×10¹⁰³, log_BF=+0.30); (5) coupling order (g(P)=0.020, log_BF=+0.30). Total log₁₀(BF) = +4.34.
The closed-form prediction is
$$ \text{predicted} = log₁₀(BF) = +4.34 across 5 sub-tests $$against the measurement all 5 sub-tests pass, giving residual strong evidence (Kass-Raftery).
Python verification
The verification script for this observable is bec_reality_test_v3.py. Run it with python3 bec_reality_test_v3.py to reproduce the canonical DCT result against the public-archive measurement source listed above (Combined gravity-domain (SPARC + MOND) + quantum-domain (BEC consistency) + time-domain (Avrami + Hubble) public-archive analysis.).
Methodology
| Domain | BEC / vacuum reality test (BEC) |
|---|---|
| Input data source | See "References" below for the canonical public-archive citation. The verification script consumes the published value (or the public dataset, where applicable) and compares against the DCT closed-form prediction. |
| Measurement procedure | The measured value used here is the most recent peer-reviewed central value plus 1σ uncertainty from the cited reference; no internal recalibration is applied. |
| Acceptance threshold | HIT: residual within 1σ of measurement. SOFT: directional agreement, residual within bracketing range. OPEN: untested or unresolved. |
| Falsification threshold | MISS: prediction excluded at ≥3σ by the canonical measurement under the corpus-canonical (constant-\(P_0\)) treatment. |
| Current status | See the verdict pill in the prediction table above. |
Cross-references
Related observables in the same domain: gp-boson-mass · t-osc.
Aggregate views: /predictions/ · /scorecard/ · /empirical/ · /outstanding-problems/.
Audit notes
Status post-: this observable's verdict above reflects the corpus-canonical (constant-\(P_0\)) treatment. Any prior interim Avrami-extension framing has been reverted (see /updates/ for the change log). The cluster-paper deep-link above (DCT-FND-V2) is the canonical source of the derivation chain.
References
- Kass-Raftery 1995
- Source paper: DCT-FND-V2 · 10.5281/zenodo.20032839
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