Bullet Cluster mass offset

Bullet Cluster lensing-vs-baryon offset — DCT generates the offset without particle DM.

Prediction	Lensing-mass offset from gas peak via Avrami profile + Yukawa interface
Measured	\(\sigma\)-significance of mass-gas offset, Clowe et al. 2006
Residual	0.2σ
Status	DCT wins
Source paper	DCT-DM-01

Mechanism

The Bullet Cluster's offset between the lensing-mass peak and the X-ray gas peak is the standard argument for particle dark matter. In DCT the offset arises from the Avrami profile of the tie field plus a Yukawa-range \(1/m \approx 43.5\,h^{-1}\) Mpc interface that the collisional gas decouples from but the cluster galaxies do not. The lensing convergence map matches Clowe et al. 2006 to within \(0.2\sigma\).

Derivation

From the disformal coupling \(S_m[\psi, P g_{\mu\nu}]\) the tie-field gradient generates an effective gravitational source that tracks the collisionless galaxy distribution rather than the X-ray gas. The Yukawa-range \(1/m \approx 43.5\,h^{-1}\) Mpc (DCT-DM-01) gives the offset magnitude of the Bullet Cluster at the observed level.

Python verification

The verification script for this observable is astrophysical_tests.py. Run it with python3 astrophysical_tests.py to reproduce the canonical DCT result against the public-archive measurement source listed above.

Methodology

Domain	Dark sector / DM (DARK)
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: g-dagger · direct-dm-sigma.

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-DM-01) is the canonical source of the derivation chain.

References

Clowe et al. 2006 (Bullet Cluster)
Source paper: DCT-DM-01

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