Topological Causality Violation and the Butterfly Effect: An Algorithmic Resolution to the Time-Travel Paradox in QGEFT

Abstract

The QGEFT spacetime has been shown to resolve causal paradoxes through the Novikov Self-Consistency Principle once the time jump is performed correctly. Under the "Tri-State Causality Violation Protocol" on an $N=512$ vacuum graph, restoring the full microstate of the past (graph and RNG noise stream together) reveals that a forced time-traveler injection at Sweep 50 does not tear the spacetime (Connected Components remains 1, rejecting Many-Worlds) and is actively deleted by the vacuum (the traveler's edges survive at 0%, and the timeline returns to 98.00% overlap with the original present, with the no-injection control at exactly 100%). The originally reported 55.48% divergence was a methodological artifact of an incomplete time jump (the RNG state was not restored); a no-injection control under the original protocol reproduces 55.64% overlap, proving that the divergence was statistical noise rather than a causal response.