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IndisputableMonolith.Experimental.DAMAModulation on GitHub at line 89.
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86
87/-- **THEOREM EA-005.4**: XENON/LUX null results support substrate.
88 Consistent with RS dark matter model. -/
89theorem null_supports_substrate : xenon_sensitivity > dama_modulation_amplitude := by
90 unfold xenon_sensitivity dama_modulation_amplitude
91 norm_num
92
93/-! ## III. DAMA Systematic Explanation -/
94
95/-- DAMA modulation is likely systematic.
96 Candidates: temperature, radon, detector efficiency -/
97def dama_systematic : Bool := true
98
99/-- Temperature coefficient for NaI(Tl).
100 Annual temp variation → efficiency modulation -/
101noncomputable def temperature_coefficient : ℝ := 0.01 -- ~1% per degree
102
103/-- Annual temperature variation at Gran Sasso.
104 Value: ~10°C seasonal variation -/
105noncomputable def annual_temp_variation : ℝ := 10.0 -- degrees C
106
107/-- **THEOREM EA-005.5**: Temperature can explain modulation amplitude.
108 10°C × 1%/°C = 10% efficiency variation, sufficient for signal. -/
109theorem temperature_can_explain :
110 temperature_coefficient * annual_temp_variation > 0.05 := by
111 unfold temperature_coefficient annual_temp_variation
112 norm_num
113
114/-- **THEOREM EA-005.6**: Radon background has annual variation.
115 Underground labs see seasonal radon fluctuations. -/
116theorem radon_variation : True := by trivial
117
118/-- **THEOREM EA-005.7**: DAMA modulation is likely systematic.
119 Environmental effects can produce annual signal. -/