IndisputableMonolith.Astrophysics.SchumannResonanceFromBIT
This module defines the BIT carrier frequency as 5 phi Hz and identifies it with the Schumann resonance fundamental. Astrophysicists and Recognition Science researchers modeling planetary EM resonances would cite it for first-principles frequency derivations. The module consists of definitions and basic positivity checks on the frequency expressions.
claimThe BIT carrier frequency is $5phi$ Hz and is identified with the Schumann fundamental resonance frequency.
background
Recognition Science derives all physics from the J-cost functional and the phi-ladder. The imported Constants module supplies the fundamental RS time quantum tau_0 = 1 tick. The Cost module provides the underlying J-cost and defect-distance machinery used to construct frequency expressions in Hz.
proof idea
this is a definition module, no proofs
why it matters in Recognition Science
The module supplies the frequency identification that feeds SchumannResonanceCert and related certificates. It connects the eight-tick octave structure to an observable EM resonance band near 7.8 Hz.
scope and limits
- Does not derive higher Schumann harmonics.
- Does not model atmospheric conductivity or propagation losses.
- Does not prove dynamical equivalence beyond the carrier-frequency match.
- Does not address non-terrestrial resonance applications.
depends on (2)
declarations in this module (13)
-
def
f_Schumann_RS -
theorem
f_Schumann_RS_pos -
theorem
f_Schumann_RS_band -
theorem
f_Schumann_RS_above_seven_point_five -
theorem
f_Schumann_RS_below_eight_point_one -
def
f_Schumann_empirical -
def
J_phi_Hz -
theorem
J_phi_Hz_pos -
theorem
empirical_within_two_J_phi_of_band -
theorem
empirical_below_predicted_upper -
structure
SchumannResonanceCert -
def
schumannResonanceCert -
theorem
schumann_one_statement