Neutron Star-Black Hole Quantum Reconfiguration

1. Topological Initial State

The neutron star as a QFunity coherent state:

NS⟩ = ∫ 𝒟[ΩQF] e−StopQF
Stop = 12 ∫ Tr(ΩQF ∧ ⋆ΩQF)

2. Five-Phase Transition

Phase 1: Torsion Criticality

∇ × ΩQF > c3 ⇒ ∂μc1 = −κΩQFμνϵν

Phase 3: Hybrid State Lifetime

τ = ħ/ΔEQF = ħ|⟨ΩQF|δĝ|ΩQF⟩|

3. Wave Emission Spectrum

Wave Type QFunity Source Term Velocity
Gravitational QF, ∂ΩQF] vGW = c(1 − 10−43κ2)
Torsional ⋆dΩQF vT = c/√(1 + κρ)

4. QFunity Predictions vs GR

Standard GR
• Instantaneous collapse
• No precursor signals
• vGW = c exactly
QFunity Framework
• 5-phase transition (10−3s meta-stability)
• Torsion wave precursors
• vGW = c(1 − O(κ2))

5. Observational Tests

Δtecho2GMc3 (1 + κρ2)

Detectable with:

  • LISA: Torsion-induced GW dispersion (δv/c ~ 10−6 for κ=10−3)
  • Chandra: X-ray modulation at fQF = κc3/GM
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