Mass-Dependent Coherence Time

Mass-Dependent Coherence Time is the time over which a particle stays quantum-coherent, which BPT has falling with the cube root of its mass. The book uses it as a distinctive signature of the binary substrate: the 1/3 exponent matches the substrate scaling obtained from dimensional analysis, so heavier objects lose coherence faster in a specific way that sets BPT apart from classical decoherence mechanisms. It sits in the book's framework for the quantum-classical transition, next to the Quantum-Classical Criterion, under which a system is classical when its phase correlation length is smaller than its thermal wavelength, ξ⟢ < λΘ. Among the Chapter 7.3 predictions, the exponent α = 1/3 should be measurable in molecular matter-wave interferometry. The formal statement is τ≋(m) = τ_0(m_0/m)^(1/3), where τ≋(m) is the Mass-Dependent Coherence Time, τ_0 the reference coherence time, m_0 the reference mass and m the particle mass. Dimensions: τ≋ and τ_0 [𝕋], m_0 and m [𝕄], exponent 1/3 [∅]; the book's check is consistent. It connects to the Quantum-Classical Criterion, Visibility Prediction, Substrate Coherence Mass Scale, Decoherence Mechanisms and Coherence Factor.