| _version_ | 1866901490384240640 |
|---|---|
| author | Capanda, Gregory |
| author_facet | Capanda, Gregory |
| contents | <p>We introduce the Quantum Convergence Threshold (QCT) Framework, a new formalism addressing the quantum measurement problem by modeling wavefunction collapse as an internal convergence process rather than an externally triggered event. At the core of QCT is the Remembrance Operator R(t)—a non-Hermitian, time-evolving operator acting within Hilbert space that encodes a system’s informational coherence history.</p> <p> </p> <p>Unlike observer-dependent interpretations, QCT posits that collapse occurs when R(t) reaches a critical internal registration threshold, signaling that the system’s state has become sufficiently coherent across time to resolve ambiguity. This threshold condition—⟨ψ(t)|R(t)|ψ(t)⟩ ≥ Θ_C—marks a transition from superposition to definiteness based purely on internal informational dynamics.</p> <p> </p> <p>The QCT model offers a unified collapse mechanism that integrates delayed-choice interference, informational phase shifts, and memory-biased collapse events. By coupling quantum evolution to temporal coherence density, QCT introduces a falsifiable, operator-driven alternative to conventional interpretations of quantum mechanics. It predicts non-unitary deviations in interferometry, history-dependent collapse behavior in entangled systems, and measurable consequences in memory-preserving quantum devices.</p> <p> </p> <p>QCT reframes collapse not as an observation-induced event, but as an inevitable consequence of quantum convergence.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_15459290 |
| institution | Zenodo |
| language | |
| publishDate | 2025 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | From ARC to Quantum Convergence Threshold: The Remembrance Operator and the Evolving QCT Framework Capanda, Gregory <p>We introduce the Quantum Convergence Threshold (QCT) Framework, a new formalism addressing the quantum measurement problem by modeling wavefunction collapse as an internal convergence process rather than an externally triggered event. At the core of QCT is the Remembrance Operator R(t)—a non-Hermitian, time-evolving operator acting within Hilbert space that encodes a system’s informational coherence history.</p> <p> </p> <p>Unlike observer-dependent interpretations, QCT posits that collapse occurs when R(t) reaches a critical internal registration threshold, signaling that the system’s state has become sufficiently coherent across time to resolve ambiguity. This threshold condition—⟨ψ(t)|R(t)|ψ(t)⟩ ≥ Θ_C—marks a transition from superposition to definiteness based purely on internal informational dynamics.</p> <p> </p> <p>The QCT model offers a unified collapse mechanism that integrates delayed-choice interference, informational phase shifts, and memory-biased collapse events. By coupling quantum evolution to temporal coherence density, QCT introduces a falsifiable, operator-driven alternative to conventional interpretations of quantum mechanics. It predicts non-unitary deviations in interferometry, history-dependent collapse behavior in entangled systems, and measurable consequences in memory-preserving quantum devices.</p> <p> </p> <p>QCT reframes collapse not as an observation-induced event, but as an inevitable consequence of quantum convergence.</p> |
| title | From ARC to Quantum Convergence Threshold: The Remembrance Operator and the Evolving QCT Framework |
| url | https://doi.org/10.5281/zenodo.15459290 |