V2.498 - Dark Matter Identity from Dark Energy
V2.498: Dark Matter Identity from Dark Energy
Objective
Determine what dark matter can be, given that the framework predicts Ω_Λ from field content. Any DM particle shifts Ω_Λ — connecting dark energy to dark matter identity in a way no other theory does.
The Deep Connection
The framework predicts Ω_Λ = |δ_total|/(6α_s N_eff) from the SM field content. The SM+graviton prediction Ω_Λ = 0.688 matches Planck (0.685 ± 0.007) at +0.4σ without any dark matter particle. If DM is a new particle, it contributes to δ and N_eff regardless of its mass (the trace anomaly is mass-independent and one-loop exact). Every DM candidate therefore shifts Ω_Λ by a computable, exact amount.
Key Results
1. DM candidates ranked by Ω_Λ compatibility
| Rank | Candidate | Ω_Λ | σ | Status |
|---|---|---|---|---|
| 1 | QCD Axion (1 scalar) | 0.683 | −0.2 | Best fit |
| 2 | ALP / Fuzzy DM (1 scalar) | 0.683 | −0.2 | Excellent |
| 3 | PBH (no new fields) | 0.688 | +0.4 | Good |
| 4 | Sterile ν / Majorana WIMP (1 Weyl) | 0.681 | −0.6 | Good |
| 5 | WIMP Dirac / Higgsino (2 Weyl) | 0.674 | −1.5 | Marginal |
| 6 | Wino (3 Weyl) | 0.667 | −2.5 | Tension |
| 7 | Dark photon (1 vector) | 0.715 | +4.1 | Excluded |
| 8 | MSSM (49S + 32W) | 0.439 | −33.7 | Excluded |
Surprise: single scalars (axion/ALP) IMPROVE the fit from +0.4σ to −0.2σ. The framework slightly prefers 1 extra scalar over no extra fields.
2. Maximum allowed DM particles (before 3σ exclusion)
| DM type | Max allowed | At max: Ω_Λ | At max: σ |
|---|---|---|---|
| Scalars | 5 | 0.665 | −2.7 |
| Weyl fermions | 3 | 0.667 | −2.5 |
| Dirac fermions | 1 | 0.674 | −1.5 |
| Vectors | 0 | 0.688 | +0.4 |
Vectors are the most constrained: even a SINGLE dark vector is at 4.1σ tension. Scalars are the least constrained: up to 5 light scalars are consistent.
3. Detection scenarios — every experiment creates an Ω_Λ test
| Experiment | Year | If DM detected | ΔΩ_Λ | σ | Test |
|---|---|---|---|---|---|
| ADMX (axion) | 2026-2030 | 1 scalar | −0.005 | −0.2 | Euclid by 2032 |
| LZ/XENONnT (WIMP) | 2025-2028 | 2 Weyl | −0.014 | −1.5 | Planck+DESI NOW |
| KATRIN/LEGEND (ν) | 2025-2030 | 1 Weyl | −0.007 | −0.6 | DESI Y5 |
| DarkSRF (dark photon) | 2027-2032 | 1 vector | +0.027 | +4.1 | ALREADY excluded |
| Microlensing (PBH) | 2025-2035 | No new fields | 0 | +0.4 | Perfect consistency |
If DM is a dark photon, the framework is falsified immediately (already at 4.1σ). If DM is an axion, the prediction improves. If DM is a PBH, nothing changes.
4. The framework’s DM preference hierarchy
- PBH — no new fields, Ω_Λ unchanged, prediction at +0.4σ
- Single scalar (axion/ALP) — improves fit to −0.2σ, framework’s “sweet spot”
- Majorana fermion — acceptable at −0.6σ
- Dirac fermion — marginal at −1.5σ
- Vector — excluded at +4.1σ
- Multi-component — tightly constrained
What Makes This Unique
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No other dark energy theory constrains dark matter identity. ΛCDM treats Ω_Λ and DM independently. Quintessence says nothing about DM. Only this framework connects the two through the trace anomaly.
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Every DM detection becomes a two-body test. Discovering DM at the LHC creates an immediate, zero-parameter prediction for ΔΩ_Λ. Confirming the shift validates the framework. Getting it wrong falsifies it.
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The direction matters. Scalars push Ω_Λ DOWN (toward better fit). Vectors push Ω_Λ UP (toward worse fit). This is a spin-dependent prediction — the framework predicts not just whether DM exists but what spin it has.
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The axion “sweet spot.” The fact that adding 1 scalar IMPROVES the fit (from +0.4σ to −0.2σ) is suggestive. The framework naturally prefers axionic DM over other candidates. This connects to the strong CP problem — the same physics that motivates the axion (Peccei-Quinn symmetry) also improves the Ω_Λ prediction.
Honest Limitations
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The improvement from +0.4σ to −0.2σ is not statistically significant. Both are excellent fits. The framework does not REQUIRE an axion — it merely slightly prefers one.
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Mass independence of δ is a UV property. While the trace anomaly coefficient is mass-independent in perturbation theory, the full entanglement entropy DOES depend on mass (V2.303 found α varies 43.6% with mass). The leading prediction ignores this, and mass corrections are suppressed by (m/M_Pl)², but this hasn’t been proven rigorously for all DM candidates.
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“Consistent at 2σ” includes 12 of 17 candidates. The framework doesn’t strongly discriminate between most candidates. Its main power is excluding vector DM and large BSM sectors (MSSM), not selecting a specific candidate.
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The framework doesn’t predict the DM relic abundance. It constrains what DM CAN be (via Ω_Λ) but doesn’t explain Ω_DM ≈ 0.26. That remains a separate problem.
Verdict
Dark energy constrains dark matter. The framework predicts Ω_Λ = 0.688 from SM+graviton alone, matching Planck at +0.4σ. Adding 1 scalar (axion) improves to −0.2σ. Vector DM is excluded at 4.1σ. MSSM at 33.7σ. Every DM detection creates an immediate Ω_Λ test — a connection no other theory makes. The framework’s preferred DM hierarchy: PBH > axion > Majorana fermion > Dirac fermion >> vector.
Files
src/dm_identity.py: 17 DM candidates, ranking, max allowed, detection scenariostests/test_dm.py: 23 tests, all passingrun_experiment.py: Full analysis driverresults.json: Machine-readable results