pith. machine review for the scientific record. sign in
structure

CoherenceTimeCert

definition
show as:
view math explainer →
module
IndisputableMonolith.Physics.QuantumCoherenceTimeFromJCost
domain
Physics
line
59 · github
papers citing
none yet

open explainer

Generate a durable explainer page for this declaration.

open lean source

IndisputableMonolith.Physics.QuantumCoherenceTimeFromJCost on GitHub at line 59.

browse module

All declarations in this module, on Recognition.

explainer page

Tracked in the explainer inventory; generation is lazy so crawlers do not trigger LLM jobs.

open explainer

depends on

used by

formal source

  56  have h12 : phi ^ 12 = (phi ^ 8) * (phi ^ 4) := by ring
  57  nlinarith [phi_gt_onePointSixOne]
  58
  59structure CoherenceTimeCert where
  60  phi_ratio : ∀ k, coherenceTimeAtRung (k + 1) / coherenceTimeAtRung k = phi
  61  phi8_val : phi ^ 8 = 21 * phi + 13
  62  phi8_amp : phi ^ 8 > 46
  63  phi12_amp : phi ^ 12 > 300
  64
  65noncomputable def coherenceTimeCert : CoherenceTimeCert where
  66  phi_ratio := coherenceTimeRatio
  67  phi8_val := phi8_fibonacci
  68  phi8_amp := phi8_gt_46
  69  phi12_amp := phi12_gt_300
  70
  71end IndisputableMonolith.Physics.QuantumCoherenceTimeFromJCost