structure
definition
InflationPredictions
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IndisputableMonolith.Cosmology.Inflation on GitHub at line 195.
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192 2. r ≈ 8/N² ≈ 0.002 (below current bounds)
193 3. Negligible non-Gaussianity (f_NL ~ 0)
194 4. Running of spectral index: dn_s/dlnk ≈ -1/N² ≈ -0.0003 -/
195structure InflationPredictions where
196 n_s : ℝ -- Scalar spectral index
197 r : ℝ -- Tensor-to-scalar ratio
198 f_NL : ℝ -- Non-Gaussianity parameter
199
200/-- RS predictions for N = 60 e-foldings. -/
201noncomputable def rsPredictions : InflationPredictions := {
202 n_s := 1 - 2/60, -- ≈ 0.967
203 r := 8/60^2, -- ≈ 0.002
204 f_NL := 0 -- Negligible
205}
206
207/-- Planck satellite measurements (2018). -/
208def planckMeasurements : String :=
209 "n_s = 0.9649 ± 0.0042, r < 0.06 (95% CL), f_NL = 0.9 ± 5.1"
210
211/-! ## Falsification Criteria -/
212
213/-- RS inflation would be falsified by:
214 1. n_s significantly different from 0.96-0.97
215 2. Detection of large r (> 0.01)
216 3. Detection of significant non-Gaussianity
217 4. Evidence for non-slow-roll dynamics -/
218structure InflationFalsifier where
219 /-- Type of potential falsification. -/
220 falsifier : String
221 /-- Current experimental status. -/
222 status : String
223
224/-- Current observations are consistent with RS inflation. -/
225def experimentalStatus : List InflationFalsifier := [