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This research aims to understand the role of the rapidity gap in modified inertia through a causal variational action framework.

August 10, 2026Open Access

A causal variational worldline action for modified inertia: the rapidity gap

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Randomized trial investigates the rapidity gap's role in modified inertia, indicating new insights into classical theories.

This research aims to understand the role of the rapidity gap in modified inertia through a causal variational action framework.
Analyzed the relationship between the rapidity gap and inertia in classical dynamics.
Developed mathematical models to assess memory time and anomalies in different gravitational regimes.
Verified mathematical consistency across various paper versions to ensure accuracy in findings.
Established that the anomaly scales as λ4 with a new kernel weight bound of N ≥ 2.1×10^6.
Demonstrated that the theory remains perturbatively stable in the strong MOND regime, providing crucial ground for future predictions.
Clarified that the proper-acceleration magnitude is supplied by the rapidity gap, highlighting its significance in worldline actions.

Carl P. Zimmerman (2026) studied this question.

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