ENTRO-QUANTUM · E-LAB-07 · QUANTUM-INSPIRED ENTROPY DASHBOARD

Ψ-W Wavefunction Dashboard

Entropic Wavefunction Evolution · Uncertainty Principle · Silent Observer

Last Update: --:--:-- UTC

ENTROPIC WAVEFUNCTION · Ψ-W(s,t) · Expectation Value ⟨Ψ⟩

Target Ψ*: 0.339 · Born rule P(s,t) = |Ψ|²

⟨Ψ⟩ (Expectation)

Classical limit

σ² (Variance)

Quantum spread

P_collapse

Collapse probability

α (Measurement)

Weak strength

Ψ-W Wavefunction Parameters

ħ_E

Entropic Planck Constant

0.10

m_E

Entropic Inertia

1.00

ω_E

Natural Frequency

2.00

κ_E

Uncertainty Constant

0.10

📐 Entropic Uncertainty Principle

QuantityValueBound

ΔΨ (Precision)--≥ --

ΔM (Disturbance)--≥ --

Product ΔΨ·ΔM--≥ 0.05

Optimal α*--α* = 1/(2-P_c)

🤫 Silent Observer Protocol Phases

P_collapse < 0.05🟢 AMBIENT — α = 0.8 (Strong measurement)

0.05 ≤ P_collapse < 0.30🟡 ADVISORY — α = 0.3 (Weak measurement)

0.30 ≤ P_collapse < 0.90🟠 SILENT WATCH — α = α* (Adaptive)

P_collapse ≥ 0.90🔴 CONTROLLED COLLAPSE — α → 0 (Isolate)

🔗 Informational Entanglement E_ij

Node PairEntanglement E_ijInterpretation

Node 0 - Node 1----

Node 0 - Node 2----

Node 1 - Node 2----

Entanglement Entropy--S_ent = -Tr[ρ_A log ρ_A]