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<p>Investigations into quantum-corrected Schwarzschild spacetimes have revealed a tension between local effective field theory (EFT) and non-perturbative approaches regarding spectral stability and horizon locality. We propose a framework of frequency-dependent effective decoupling (FDED) wherein this tension is resolved <i>operationally</i> at the level of the effective dispersion relation. In this framework, the “identity crisis" of quantum-corrected metrics is <i>recast</i> as a spectral phase transition: low-frequency perturbations perceive a classical event horizon consistent with General Relativity, while high-frequency probes resolve a reflective, traversable throat. We demonstrate that the disparate mathematical solutions found in the literature can be understood as limiting cases of a single, consistent effective action. This synthesis, grounded in UV/IR mixing, reinterprets conflicting results as distinct spectral phases of a single quantum object. By treating the horizon as a multi-phasic scattering interface rather than a fixed geometric boundary, we provide a covariant phenomenological model that accommodates both local and non-local frameworks and serves as a concrete example of how non-local field-theory techniques can operationally unify disparate quantum-gravity calculations. The contribution to theoretical physics, viewed broadly, is twofold: a covariant, ghost-free non-local effective operator with established causal consistency, and a dispersive framework that unifies the local and non-local quantum-gravity descriptions within a single effective action. It thereby demonstrates that kinematic incompatibilities between quantum-gravity approximation schemes can be resolved within a single dispersive framework, offering a template for unifying results across hitherto independent approaches.</p>

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Non-Local Framework for Quantum Horizons: Spectral Phase Transitions and Causality

  • 期刊论文

  • 发表日期：

    2026年6月29日

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  • Leonardo P. G. De Assis

摘要

Investigations into quantum-corrected Schwarzschild spacetimes have revealed a tension between local effective field theory (EFT) and non-perturbative approaches regarding spectral stability and horizon locality. We propose a framework of frequency-dependent effective decoupling (FDED) wherein this tension is resolved operationally at the level of the effective dispersion relation. In this framework, the “identity crisis" of quantum-corrected metrics is recast as a spectral phase transition: low-frequency perturbations perceive a classical event horizon consistent with General Relativity, while high-frequency probes resolve a reflective, traversable throat. We demonstrate that the disparate mathematical solutions found in the literature can be understood as limiting cases of a single, consistent effective action. This synthesis, grounded in UV/IR mixing, reinterprets conflicting results as distinct spectral phases of a single quantum object. By treating the horizon as a multi-phasic scattering interface rather than a fixed geometric boundary, we provide a covariant phenomenological model that accommodates both local and non-local frameworks and serves as a concrete example of how non-local field-theory techniques can operationally unify disparate quantum-gravity calculations. The contribution to theoretical physics, viewed broadly, is twofold: a covariant, ghost-free non-local effective operator with established causal consistency, and a dispersive framework that unifies the local and non-local quantum-gravity descriptions within a single effective action. It thereby demonstrates that kinematic incompatibilities between quantum-gravity approximation schemes can be resolved within a single dispersive framework, offering a template for unifying results across hitherto independent approaches.