IndisputableMonolith.Physics.AlphaHighPrecision

   1import Mathlib
   2import IndisputableMonolith.Constants.Alpha
   3
   4/-!
   5# Phase 12.1: Alpha High-Precision HYPOTHESIS (NOT achieved)
   6
   7WARNING / honest status: the RS α⁻¹ construction lands in (137.030, 137.039),
   8~5.6 ppm from CODATA. It does NOT reach 12-decimal precision. `H_AlphaPrecision`
   9below is a HYPOTHESIS that is currently FALSE at the stated 1e-11 tolerance (the
  10construction's seed 4π·11 is an identification, not derived; exact α⁻¹(0) is a
  11boundary condition, OPEN). The "theorem" below is only the trivial restatement
  12`h → h`, i.e. it asserts nothing beyond the hypothesis itself. Do not read this
  13module as a precision derivation of α. Canonical honest anchor: EMAlphaCert.
  14-/
  15
  16namespace IndisputableMonolith
  17namespace Physics
  18namespace Alpha
  19
  20open Constants
  21
  22/-- **HYPOTHESIS**: The inverse fine-structure constant derivation matches CODATA precision.
  23    STATUS: EMPIRICAL_HYPO
  24    TEST_PROTOCOL: Evaluation of the α⁻¹ formula using refined w8 weights and 5D curvature terms.
  25    FALSIFIER: High-precision measurement of α⁻¹ deviating from the derived value by > 1e-11. -/
  26def H_AlphaPrecision : Prop :=
  27  ∃ (error : ℝ), abs (alphaInv - 137.035999) < error ∧ error < 1e-11
  28
  29/-- Trivial restatement of `H_AlphaPrecision` (`h → h`). This is NOT an unconditional
  30    high-precision result: it asserts the conclusion only on the unproved (and at
  31    1e-11 currently FALSE) hypothesis `H_AlphaPrecision`. Kept as a conditional
  32    placeholder; it proves nothing about the measured α on its own. -/
  33theorem alpha_high_precision (h : H_AlphaPrecision) :
  34    ∃ (error : ℝ), abs (alphaInv - 137.035999) < error ∧ error < 1e-11 := h
  35
  36end Alpha
  37end Physics
  38end IndisputableMonolith
  39