No Gravitational-Wave Echoes of Type-B Traversable Singularities Found in LIGO O3/O4b Data — Systematic Exclusion of 16 Theoretical Morphologies and Time-Slide Tests

Abstract

The Order Parameter Spacetime Theory reinterprets the black hole event horizon as a Type-B traversable singularity, predicting equally spaced gravitational-wave echoes after the merger. In this paper, we systematically test this prediction using LIGO O3 and O4b data, based on the Information–Einstein equations. We exhaustively enumerate 16 theoretically possible morphologies of the echoes and perform 1000 time-slide tests for each morphology on three representative events (GW200224_105234, GW200311_115853, GW200316_215756). The results show that S1 (decaying pulse train), S2 (high-Q comb), S3 (chirping cavity), S8 (FM), and S13 (FM + hysteresis hybrid) have zero raw matching scores and are excluded; S4, S5, S6, S9, S10, S11, S12, S15, and S16 fail with 100% time-slide passage rates across all three events, confirming they are intrinsic LIGO detector noise; S7 and S14 are inconsistent across events, passing only for a single event, thus failing the universality requirement of the Type-B singularity theory. Injection tests validate the search pipeline; supplementary analysis of the 0–5 ms window confirms that the signal in this window is ringdown residual rather than echoes. Conclusion: No gravitational-wave echo signals predicted by the Type-B traversable singularity are found in LIGO O3/O4b data. All 16 theoretically possible morphologies are systematically excluded. The strongest 0.99 ms candidate is confirmed to be an intrinsic, stationary noise feature of the LIGO detector by the time-slide test.