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

ThermalFixedPointCert

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

open explainer

Read the cached plain-language explainer.

open lean source

IndisputableMonolith.Physics.ThermalFixedPoint on GitHub at line 175.

browse module

All declarations in this module, on Recognition.

explainer page

A cached Ask Recognition explainer exists for this declaration.

open explainer

depends on

used by

formal source

 172
 173/-! ## 6. Summary Certificate -/
 174
 175structure ThermalFixedPointCert where
 176  char_poly_root : fibonacci_char_poly phi = 0
 177  uniqueness : ∀ r : ℝ, 0 < r → fibonacci_char_poly r = 0 → r = phi
 178  cascade : ∀ n : ℕ, phi ^ (n + 2) = phi ^ (n + 1) + phi ^ n
 179  eigenvalue : thermal_eigenvalue = phi
 180  nu : nu_leading = 1 / phi
 181
 182def thermalFixedPointCert : ThermalFixedPointCert where
 183  char_poly_root := fibonacci_char_poly_root
 184  uniqueness := fibonacci_char_poly_unique_pos_root
 185  cascade := fibonacci_recurrence
 186  eigenvalue := rfl
 187  nu := rfl
 188
 189end
 190
 191end ThermalFixedPoint
 192end Physics
 193end IndisputableMonolith