Quantum Feed-Forward Diverter Loop

Quantum Feed-Forward Diverter Loop — Versions 27–29

This series develops a unified quantum-temporal computational model combining A–B entanglement, A-controlled photon path diversion, temporal wavepackets, effective negative delay, density-matrix analysis, and branch-separation testing.

V27 introduces density-matrix, trace-distance, and mutual-information tests, confirming the no-signalling constraint within the computational model.

V28 extends the framework toward quantum branch structure, testing correlated path histories while maintaining causal consistency.

V29 quantitatively tests branch separation using temporal wavepacket overlap and trace distance. Increasing the effective temporal separation reduces the overlap between Path-1 and Path-2 states, producing effectively distinguishable quantum branches while preserving the no-signalling baseline.

These versions provide a theoretical/computational framework for studying path-dependent quantum histories and temporal wavepacket evolution. The model does not claim experimental proof of parallel universes, literal backward time propagation, or retrocausal signalling.

Keywords: Quantum Entanglement, Quantum Feed-Forward, Temporal Wavepacket, Negative Group Delay, Density Matrix, Branch Separation, Decoherence, No-Signalling, Quantum Foundations, Many-Worlds Interpretation.

Version 30 extends the Quantum Feed-Forward Diverter Loop computational framework into a proposed quantum-router application model. The simulation combines entanglement-assisted path control, an A-controlled quantum diverter, path-dependent temporal wavepackets, effective negative temporal delay, branch distinguishability, routing fidelity, decoherence stress testing, and no-signalling analysis.

A 100,000-shot simulation produced a routing fidelity of approximately 99.504%, with an approximately balanced unconditional path distribution. The decoherence stress test shows decreasing modeled routing fidelity as the phenomenological decoherence level increases.

The future-measurement test gives P(Path=0 | B=Z) = 0.500090 and P(Path=0 | B=X) = 0.500891, with an absolute difference of 0.000801 and mutual information of approximately 4.6 × 10⁻⁷ bits.

These results support the proposed architecture as a computational model for entanglement-assisted quantum routing and motivate further investigation for potential quantum-network and photonic-routing applications.

The results are theoretical/computational and do not constitute experimental validation, proof of secure quantum communication, physical creation of parallel worlds, literal backward-time propagation, or retrocausal signalling.

Update (Version 31 - Multi-Node Network Routing Test): Expanded the framework from a single router application into a global multi-node quantum network level test (incorporating source, channel loss, detector inefficiency, and decoherence). Verified via 100,000 Monte Carlo shots that the observed end-to-end success rate (88.12%) perfectly aligns with the theoretical bound (88.00%), confirming that multi-node distribution channels strictly preserve global no-signaling conditions (Absolute Difference = 0.003125, Mutual Information = 0.00000704 bits).

Version 32 — Quantum Network Multi-Parametric Stress Test

This version performs a computational robustness and parameter-sensitivity analysis of the proposed Quantum Feed-Forward Diverter Loop and multi-node quantum-network architecture.

The study evaluates router fidelity, channel transmission, decoherence, randomized parameter scenarios, and repeated future-measurement no-signalling tests. A total of 5,000 randomized parameter scenarios were evaluated.

The randomized simulations produced a mean end-to-end success rate of 72.77%, with a range of 51.78% to 97.26%. The results show that network performance is strongly dependent on channel transmission and decoherence, while the tested routing architecture remains computationally stable across the parameter ranges.

Repeated no-signalling tests produced a mean marginal deviation of 0.00248340 and mean mutual information of approximately 6.53 × 10⁻⁶ bits. These finite-shot fluctuations did not demonstrate controllable retrocausal signalling.

Conclusion: The results support the computational robustness of the proposed architecture under the tested parameter variations and provide a basis for further theoretical and experimental investigation.

Scientific status: This is a theoretical/computational study. It does not constitute experimental proof of parallel worlds, negative time, retrocausality, or secure quantum communication.

Version 33 translates the computational framework developed in Versions 27–32 into a proposed laboratory-test protocol. It identifies experimentally measurable aspects of the model, including entanglement-assisted photon routing, temporal wavepacket shifts, branch distinguishability, decoherence dependence, and future-measurement no-signalling tests.

The protocol is designed to distinguish experimentally measurable optical effects from stronger theoretical interpretations involving negative time, retrocausality, and Many-Worlds. It does not claim experimental demonstration of these phenomena.

This version provides a proposed experimental architecture, measurable quantities, control experiments, and statistical decision criteria for future laboratory investigation.