Motti Intermediate Physics — HAL: Quasinormal Mode Frequency Shift — Prediction and Comparison with GW250114

The HAL (Hyper-Anisotropic Luminal Physics) framework predicts an effective gravitational constant G_eff = G_N/C0, where C0 = 1 + alpha_em = 1.007297. Since quasinormal mode (QNM) frequencies scale as 1/(G M), this implies a universal fractional shift delta_f/f = alpha_em = +0.7297% relative to general relativity. For the remnant black hole of GW250114 (M_f = 58 M_sol, a_f = 0.77, SNR = 76), the HAL prediction for the dominant (2,2,0) mode is f_220^HAL = 334.3 Hz versus the GR value of 331.9 Hz, a shift of 2.4 Hz. The LVK analysis constrains deviations to within a few percent, leaving the HAL prediction compatible with current data. Detection requires SNR ~ 420, achievable with the Einstein Telescope. Combined with the spin-memory correction epsilon = +alpha_em derived in prior work, the HAL framework now carries two independent, universal, parameter-free gravitational predictions both equal to alpha_em = +0.7297%. Simultaneous measurement of both constitutes a definitive test.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-06-26
DOI
https://doi.org/10.5281/zenodo.20930940
Primary Topic
Pulsars and Gravitational Waves Research
Type
preprint
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preprint

Motti Intermediate Physics — HAL: Quasinormal Mode Frequency Shift — Prediction and Comparison with GW250114

Mordecai Gavila Alvarez
Zenodo (CERN European Organization for Nuclear Research)
Pulsars and Gravitational Waves Research
preprint

Motti Intermediate Physics — HAL: Quasinormal Mode Frequency Shift — Prediction and Comparison with GW250114

Mordecai Gavila Alvarez
preprint en

Abstract

The HAL (Hyper-Anisotropic Luminal Physics) framework predicts an effective gravitational constant G_eff = G_N/C0, where C0 = 1 + alpha_em = 1.007297. Since quasinormal mode (QNM) frequencies scale as 1/(G M), this implies a universal fractional shift delta_f/f = alpha_em = +0.7297% relative to general relativity. For the remnant black hole of GW250114 (M_f = 58 M_sol, a_f = 0.77, SNR = 76), the HAL prediction for the dominant (2,2,0) mode is f_220^HAL = 334.3 Hz versus the GR value of 331.9 Hz, a shift of 2.4 Hz. The LVK analysis constrains deviations to within a few percent, leaving the HAL prediction compatible with current data. Detection requires SNR ~ 420, achievable with the Einstein Telescope. Combined with the spin-memory correction epsilon = +alpha_em derived in prior work, the HAL framework now carries two independent, universal, parameter-free gravitational predictions both equal to alpha_em = +0.7297%. Simultaneous measurement of both constitutes a definitive test.

Zenodo (CERN European Organization for Nuclear Research)
Valencia Catholic University Saint Vincent Martyr (ES)
Pulsars and Gravitational Waves Research
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