Quantum Feed-Forward Diverter Loop

This scientific proposal outlines a unique thought experiment combining ultra-cold Rubidium atomic clouds in a negative time dwell state with quantum entanglement triggers. The framework utilizes a quantum feed-forward mechanism to route incoming photon light pulses onto an alternate path, effectively presenting a theoretical layout to bypass temporal grandfather paradoxes without inducing a system-wide wavefunction collapse.

"Update (Version 2): Added Python (Qiskit) simulation script to verify quantum state routing logic."

Implemented a 4-Case Marginal Probability Matrix simulation (Z-basis, X-basis, No-measurement, and Random-basis) to rigorously verify that the system strictly obeys the No-Signaling Theorem and preserves causality under feed-forward routing conditions.

Update (Version 4): Integrated an advanced Time-Symmetric / Post-Selected Diverter Test framework. Successfully verified a 100% quantum state correlation conditioned on future measurement outcomes while strictly preserving the global No-Signaling theorem constraint.

Version 5 Update — Temporal Wavepacket and Effective Negative Group-Delay Model

This version extends the Quantum Feed-Forward Diverter Loop thought experiment by introducing a temporal wavepacket model for the photon and an effective frequency-domain transfer function representing positive and negative group delays.

The photon is modeled as a Gaussian temporal wavepacket. Two alternative pathways are assigned effective delays, with Path-1 represented by a positive delay and Path-2 by an effective negative group delay. The resulting temporal wavepackets are numerically propagated and compared to visualize the corresponding temporal shifts.

The quantum-routing component is then combined with an entangled A–B pair, photon–B interaction, and A-controlled quantum path diversion. The simulation evaluates both the unconditional photon-path distribution and the post-selected correlation between the earlier photon path and the later B measurement outcome.

Using 20,000 simulated shots, the unconditional path probabilities were approximately:

P(Path=0) = 0.5000
P(Path=1) = 0.5000

Post-selection produced perfect conditional correlations in this circuit model:

P(Path=0 | B=0) = 1.0000
P(Path=1 | B=1) = 1.0000

These results demonstrate temporal-wavepacket shifting and strong conditional quantum correlation within the computational model. The effective negative group delay is used as a mathematical transfer-function parameter and is not interpreted as literal backward propagation of a photon or proof of retrocausality.

This version is intended as a theoretical/computational extension of the proposed Quantum Feed-Forward Diverter Loop and does not constitute an experimental demonstration of negative time, retrocausal signalling, or violation of the quantum no-signalling principle.