IndisputableMonolith.Gravity.CoherenceGain
The CoherenceGain module defines effective source strength for an ensemble of N particles whose vector contributions depend on phase alignment. Gravity modelers working on acoustic levitation effects cite these results. The module supplies a chain of definitions and lemmas that separate incoherent addition from coherent sqrt(N) amplification.
claimFor an ensemble of $N$ particles each with source magnitude $a$, the incoherent effective source is $a$ while the coherent effective source is $a\sqrt{N}$, yielding coherence gain $\sqrt{N}$.
background
The module sits inside the gravity domain and introduces the Ensemble object together with four source functions: incoherent_effective_source, coherent_effective_source, coherence_gain, and coherence_gain_eq_sqrt_N. These rest on the Recognition Composition Law for vector addition under phase control. A Superconductor subtype and CoherenceGainCert certificate close the module.
proof idea
this is a definition module, no proofs
why it matters in Recognition Science
The definitions feed directly into the AcousticPhaseLevitation module as its sole import. They supply the coherence mechanism required for the gravity section of the T0-T8 forcing chain and the Recognition Composition Law.
scope and limits
- Does not derive numerical values for specific particle counts.
- Does not incorporate relativistic phase corrections.
- Does not address interactions beyond the vector source model.
- Does not connect to the phi-ladder mass formula.
used by (1)
declarations in this module (13)
-
structure
Ensemble -
def
incoherent_effective_source -
theorem
incoherent_source_positive -
def
coherent_effective_source -
theorem
coherent_source_positive -
def
coherence_gain -
theorem
coherence_gain_eq_sqrt_N -
theorem
coherent_exceeds_incoherent -
structure
Superconductor -
def
superconductor_effective_source -
theorem
coherence_gate -
structure
CoherenceGainCert -
theorem
coherence_gain_certified