Relativity and Cosmology

Relativistic Planck-Scale Interaction Limit and Gravitational Wavefront Aggregation: a Novel Unified Hypothesis for Modified Newtonian Dynamics Within General Relativity

Authors: Richard Holland

We present a relativistic hypothesis based on a universal Planck-frequency interaction budget postulate that is fully compatible with general relativity. The observable cosmos, with �� ≈ 1090particles and cosmic age �� ≈ 4.35 × 10^17s, permits at most ∼10^151 interaction events at the Planck frequency ���� ≈ 1.85 × 10^43Hz. Full pairwise Newtonian gravity is combinatorially impossible if ���� imposes a limit, so gravitational influence aggregates into long, coherent wavefronts exhibiting cylindrical dilution ∼ 1/�� at large scales. Near localized masses these wavefronts undergo shear-induced breakup, recovering the Newtonian 1/��2 regime locally. In the weak-field, low-acceleration limit the model naturally recovers the deep-MOND relation �� ≈ √������0 without dark matter or auxiliary fields.

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[v1] 2026-04-12 16:51:53
[v2] 2026-04-12 18:13:40

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