PandaX-4T DM null

PandaX-4T direct-detection null result — DCT predicts σ_SI exactly zero.

Prediction	\(\sigma_{SI} = 0\) exactly
Measured	PandaX-4T 2024 \(\sigma_{SI} < 1.6 \times 10^{-47}\) cm² @ 40 GeV
Residual	0.0σ
Status	PASS
Source paper	DCT-DM-01

Mechanism

DCT contains no particle dark-matter component. Galactic and cluster dynamics arise from the Avrami crystallisation profile of the tie field, \(P(g) = 1 - \exp(-\sqrt{g/g_\dagger})\), rather than from a halo of WIMPs or axions. Spin-independent direct-detection cross-section is structurally zero; the disformal coupling between matter and the tie field carries no fermion-number current and no nuclear recoil signal.

Derivation

From the disformal matter-tie coupling \(S_m[\psi, P\!\cdot\! g_{\mu\nu}]\), the elastic scattering cross-section between baryonic matter and the tie field vanishes identically: there is no Yukawa exchange and no scalar-mediated nucleon recoil. The 600-cell topology does not generate a particle DM candidate; galactic dynamics arise from the Avrami crystallisation profile of the tie field, leaving direct-detection cross-section structurally zero.

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: xenon1t · lz-dm-null · 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

PandaX-4T 2024
Source paper: DCT-DM-01

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