Complementarity of Gravitation Collapse (II) XOB and the Damping Gravitational Waveform as Evidences

Ding-fang Zeng

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arXiv · 2505.14749

Complementarity of Gravitation Collapse (II) XOB and the Damping Gravitational Waveform as Evidences

Ding-fang Zeng

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Abstract

This is the second paper of our working series on the complementarity of gravitational collapse. In this paper we prove that dynamics of XOB (an eXact One-Body Method) under the weak-field-low-speed expansion matches with the post-newtonian series to all orders for the conservative part of binary dynamics in general relativity. Using XOB and an inner-structure modulated quadrupole formula, we generate gravitational waveforms for the black hole binary merger process agreeing with numeric relativity to 99\% degree. Basing on this agreement, we argue that black holes in numerical relativities have inner structures we propose in the complementarity of gravitational collapse.

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Ding-fang Zeng. 2026-06-27. Complementarity of Gravitation Collapse (II) XOB and the Damping Gravitational Waveform as Evidences. https://arxiv.org/abs/2505.14749

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