Pulse Core Lexicon

Substrate Coherence Mass Scale

Definition

The Substrate Coherence Mass Scale is the characteristic mass, 10⁶ amu, that sets how quickly quantum interference visibility falls as particles get heavier. The book predicts that interference visibility decays exponentially with particle mass, and this mass is the scale of that decay: particles well below it keep near-maximum visibility, while those approaching and passing it lose it. The book reads the exponential dependence as reflecting how the substrate's coupling strength scales with particle complexity, so that heavier particles interact more with the computational substrate and interfere less. It belongs to the book's link between substrate properties and matter-wave interferometry, where C₆₀ fullerene at 720 amu is the reference experiment, and among the Chapter 7.3 predictions this mass scale is to be tested in large-molecule interferometry. The mass scale enters the Visibility Prediction V☫ = V_0 exp(−m/m≋), where V☫ is the predicted visibility, V_0 the maximum visibility, m the particle mass and m≋ the Substrate Coherence Mass Scale, equal to 10⁶ amu. Dimensions: V☫ and V_0 [∅], m and m≋ [𝕄], amu [𝕄], 10⁶ [∅]; the book's check is consistent. It connects to Visibility Prediction, Mass-Dependent Coherence Time, Decoherence Mechanisms and BEC Coherence Time.

Mathematical Expression

From the book · Chapter 7 · Quantum Mirrors of the Prime Pulse — Interference Patterns as Substrate Echoes

V☫ = V_0 exp(-m/m≋) [∅]

Where:

  • V☫ [∅] - Visibility Prediction (G)
  • V_0 [∅] - maximum visibility
  • exp - exponential function
  • m [𝕄] - particle mass
  • m≋ [𝕄] - Substrate Coherence Mass Scale (G), equal to 10⁶ amu
  • 10⁶ [∅] - numerical coefficient
  • amu [𝕄] - atomic mass unit
  • [∅] - quantities without physical units, pure numerical ratios or mathematical constants

Technical Details

Category Concept

Chapter Chapter 7

Importance

Related Terms