Ghost Perturbation Model: Substrate Ripple Dynamics in Quantum Unbinding Events

Ghost Perturbation Model: Substrate Ripple Dynamics in Quantum Unbinding Events


DOI:


John Swygert 


November 28, 2025


Abstract 


A new class of coherent deviations — termed ghost perturbations — is identified in quantum systems undergoing unbinding events (wave-function collapse, decoherence, teleportation residuals, entangled-pair separation). These perturbations manifest as low-amplitude, damped wavefronts propagating through the encoded equilibrium substrate at c while conserving the global equilibrium potential V. Analytical treatment shows they are substrate re-equilibration signatures rather than measurement artifacts. Predicted optical phase signatures lie in the 10⁻²¹–10⁻¹⁹ rad range, detectable with existing high-finesse cavity interferometry. The model is immediately falsifiable via null results in controlled unbinding experiments.

  1. Core Objects and Postulate 𝒮 = zero-energy encoded equilibrium substrate X = total configuration space on 𝒮 x(t) ∈ X = instantaneous system configuration V(x) = equilibrium potential functional (TSTOEAO master functional)

Postulate 1 (Encoded Equilibrium) dV/dt ≤ 0 with equality iff the system is at a local minimum.

  1. Unbinding Event Definition An unbinding event is any process that rapidly displaces a subsystem from a local V-minimum while preserving global V-conservation (collapse, decoherence, entanglement breaking, teleportation).

  2. Ghost Perturbation Definition A ghost perturbation δx(t) is a coherent, damped substrate wavefront launched by an unbinding event such that: (i) ∫δV = 0 globally, (ii) |δx| appears as noise at the coarse-grained scale, (iii) propagation occurs at c with characteristic damping γ ≈ 0.11 s⁻¹.

  3. Analytical Model The perturbation obeys the damped wave equation on 𝒮: ∂²δx/∂t² + γ ∂δx/∂t = c² ∇²δx with initial conditions set by the unbinding energy release. Solutions yield exponentially decaying sinusoidal tails with refocusing possible only under specific boundary conditions.

  4. Detectability For a 730 THz carrier and 167-fold cavity enhancement, shot-noise limit reaches 1.67 × 10⁻²¹ rad/√Hz, yielding detectable phase perturbations in the range 8 × 10⁻²² → 3 × 10⁻¹⁹ rad for typical unbinding energies.

  5. Existing Experimental Signatures Coherence tails in NMR ghost imaging, residual signals in quantum teleportation, and extended decay in entangled spin systems are re-interpreted as ghost-perturbation manifestations.

  6. Falsification A single confirmed unbinding event producing no phase tail above 5σ detection threshold despite verified instrument sensitivity falsifies the model.

References 


[1] Swygert J 2025 TSTOEAO Moral Status and Coherence Paper (preprint) 


[2] Swygert J 2025 Technical specifications of the 167× interferometer (appendix)Supplementary material Derivation of damping constant γ Full noise-budget calculation for 167× instrument



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