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def

liCoupling

definition
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module
IndisputableMonolith.Gravity.Candidates.Li
domain
Gravity
line
39 · github
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IndisputableMonolith.Gravity.Candidates.Li on GitHub at line 39.

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  36/-- Li's coupling coefficient (simplified display form).
  37    k_Li = (μ_g / μ) * (m / q)
  38    In RS, we treat (μ_g / μ) as the "Coherence Gain". -/
  39def liCoupling (mu_g mu m q : ℝ) : ℝ := (mu_g / mu) * (m / q)
  40
  41/-- The RS-modified gravitomagnetic field hypothesis.
  42    This asserts that the field B_g contains a term proportional to the
  43    magnetic field B_0, scaled by the Li coupling. -/
  44def CoherentGravitomagnetism (B_g0 B_0 : ℝ) (mu_g mu m q : ℝ) : Prop :=
  45  let B_g_internal := B_g0 + liCoupling mu_g mu m q * B_0
  46  -- The claim is that this internal field is physically realized.
  47  True -- Placeholder for field equation integration
  48
  49/-- RS Falsifier: Coherence Gating.
  50    The effect MUST vanish if the system is not superconducting (T > Tc).
  51    We model this by asserting the coupling becomes zero (or negligible)
  52    when coherence is lost. -/
  53def CoherenceGateFalsifier (T Tc : ℝ) (measured_coupling : ℝ) : Prop :=
  54  if T > Tc then
  55    measured_coupling ≈ 0
  56  else
  57    measured_coupling > 0
  58
  59/-- RS Falsifier: Sign Flip.
  60    Since B_0 is a vector field, reversing B_0 (or the current) must reverse
  61    the induced gravitomagnetic component.
  62    B_g_induced(-B_0) = -B_g_induced(B_0). -/
  63def SignFlipFalsifier (B_0 : ℝ) (induced_Bg : ℝ → ℝ) : Prop :=
  64  induced_Bg (-B_0) = -induced_Bg B_0
  65
  66end Li
  67end Candidates
  68end Gravity
  69end IndisputableMonolith