IndisputableMonolith.Gravity.Candidates.Searl

   1import Mathlib
   2import IndisputableMonolith.Flight.Geometry
   3import IndisputableMonolith.Flight.Schedule
   4
   5/-!
   6# RS Hypothesis: Searl Effect (Spiral-Field Candidate)
   7
   8This module formalizes the core claims of the Searl Effect Generator (SEG)
   9as a candidate for RS Spiral-Field Propulsion.
  10
  11## The Claim
  12A system of rotating magnetic rollers on a ring produces:
  131. Thrust / Lift
  142. Cooling (temperature drop)
  153. Self-acceleration (in some regimes)
  16
  17## RS Interpretation
  18This is a candidate for **Metric Engineering** via geometric resonance.
  19The roller geometry sets up a standing wave in the Recognition Field (phantom light).
  20
  21## Key RS Signature: Cooling
  22RS predicts "entropic cooling" (J-cost reduction) in regions of high coherence.
  23If the device orders the local vacuum, it absorbs entropy, reducing T.
  24-/
  25
  26namespace IndisputableMonolith
  27namespace Gravity
  28namespace Candidates
  29namespace Searl
  30
  31open IndisputableMonolith.Flight
  32
  33/-- The specific geometry of the SEG (Law of the Squares).
  34    RS checks if this matches φ-spiral pitch families. -/
  35def GeometricResonance (n_rollers : ℕ) : Prop :=
  36  -- RS Prediction: n_rollers should relate to 8-tick or φ
  37  n_rollers % 8 = 0 ∨ n_rollers = 12 -- (12 ≈ 8φ - 1 ?)
  38
  39/-- RS Falsifier: Entropic Cooling.
  40    The device must cool down as it operates (converting thermal energy to order/thrust).
  41    This is distinct from ohmic heating (which warms it up). -/
  42def CoolingSignature (T_ambient T_device : ℝ) : Prop :=
  43  T_device < T_ambient
  44
  45/-- RS Falsifier: 8-Gate Discipline.
  46    The magnetic waveform seen by the stator must satisfy the 8-gate neutrality condition. -/
  47def WaveformCompliance (w : ℕ → ℝ) : Prop :=
  48  Schedule.eightGateNeutral w 0
  49
  50end Searl
  51end Candidates
  52end Gravity
  53end IndisputableMonolith
  54