null_supports_substrate
plain-language theorem explainer
XENON/LUX null results support the Recognition Science substrate model for dark matter because their sensitivity exceeds the DAMA modulation amplitude. Experimental physicists reconciling DAMA/LIBRA signals with other detectors would cite this result. The proof is a one-line wrapper that unfolds the two constant definitions and applies norm_num to confirm the numerical comparison.
Claim. The XENON1T sensitivity exceeds the DAMA/LIBRA modulation amplitude: $10 > 0.02$.
background
In the Recognition Science treatment of DAMA/LIBRA annual modulation, dark matter is the substrate ledger carrier rather than WIMPs. The module defines dama_modulation_amplitude as the numerical value 0.02 cpd/kg/keV and xenon_sensitivity as 10.0, representing XENON1T sensitivity relative to DAMA. This setting contrasts the ~12σ DAMA signal with null results from more sensitive experiments, as summarized in the module documentation on EA-005.
proof idea
The term proof unfolds the definitions of xenon_sensitivity and dama_modulation_amplitude, then applies norm_num to reduce the inequality 10 > 0.02 to a decidable numerical fact.
why it matters
This theorem supplies EA-005.4, showing XENON/LUX null results are consistent with the RS substrate model. It is invoked by ea005_certificate to certify the full DAMA analysis and by nulls_support_rs to restate support for RS. The result aligns with the framework prediction that direct detection yields no WIMP signal since dark matter is not particulate.
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