Motti Intermediate Physics — HAL: Gravitational Coupling, Orbital Dynamics, and Consistency with Binary Pulsar Observations

The HAL framework introduces G_eff = G_N/C0 as the gravitational coupling. A naive Peters formula application predicts 1.4% deviation from GR in orbital period decay, in 28-sigma tension with the double pulsar PSR J0737-3039. We resolve this by identifying that the coherential field C contributes gravitational mass M_coh = alpha_em * M_ADM, ensuring G_eff * M_eff = G_N * M_ADM exactly. The Newtonian potential and orbital period decay are identical to GR. The gravitational wave amplitude is not similarly protected: h^HAL = C0 * h^GR, giving epsilon = +alpha_em = +0.7297%. HAL is fully consistent with all binary pulsar data while retaining three independent falsifiable predictions all equal to alpha_em.

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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.20931495
Primary Topic
Pulsars and Gravitational Waves Research
Type
preprint
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preprint

Motti Intermediate Physics — HAL: Gravitational Coupling, Orbital Dynamics, and Consistency with Binary Pulsar Observations

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

Motti Intermediate Physics — HAL: Gravitational Coupling, Orbital Dynamics, and Consistency with Binary Pulsar Observations

Mordecai Gavila Alvarez
preprint en

Abstract

The HAL framework introduces G_eff = G_N/C0 as the gravitational coupling. A naive Peters formula application predicts 1.4% deviation from GR in orbital period decay, in 28-sigma tension with the double pulsar PSR J0737-3039. We resolve this by identifying that the coherential field C contributes gravitational mass M_coh = alpha_em * M_ADM, ensuring G_eff * M_eff = G_N * M_ADM exactly. The Newtonian potential and orbital period decay are identical to GR. The gravitational wave amplitude is not similarly protected: h^HAL = C0 * h^GR, giving epsilon = +alpha_em = +0.7297%. HAL is fully consistent with all binary pulsar data while retaining three independent falsifiable predictions all equal to alpha_em.

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