A constructive algorithm yields NEC-obeying static spherical metrics with g_tt g_rr = -1, including a log-corrected Schwarzschild geometry that can mimic black holes.
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The Harmonic Background Paradigm is conjectured to extend to nonlinear gravity via a screening mechanism in which negative-energy gravitational clouds surround but never overcome positive-energy seeds, connected through a causal cone hierarchy.
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Energy conditions in static, spherically symmetric spacetimes and effective geometries
A constructive algorithm yields NEC-obeying static spherical metrics with g_tt g_rr = -1, including a log-corrected Schwarzschild geometry that can mimic black holes.
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Cone hierarchy and the screening of matter by gravity
The Harmonic Background Paradigm is conjectured to extend to nonlinear gravity via a screening mechanism in which negative-energy gravitational clouds surround but never overcome positive-energy seeds, connected through a causal cone hierarchy.