August 31, 2026 to September 4, 2026
Auditorio José Adem, Mexico
America/Mexico_City timezone

Emergence of a $1/r$ Gravitational Regime from a Corrected Relativistic Structure

Not scheduled
20m
Auditorio José Adem, Mexico

Auditorio José Adem, Mexico

Av Instituto Politécnico Nacional 2508, San Pedro Zacatenco, Gustavo A. Madero, 07360, Mexico-City, Mexico
Talk

Speaker

Frederic Lassiaille

Description

We present recent developments of a corrected relativistic framework based on a structural re-examination of the spacetime–energy coupling in General Relativity. The approach replaces the standard static description of matter with a fully dynamical representation of energy, leading to additional first-order structural contributions in the Einsteinian formulation.

A recent technical advance resolves non-commutativity issues associated with the composition of energy distributions in curved spacetime, providing a consistent framework in which the relativistic structure can be treated without ad hoc regularization procedures.

Within this formulation, a previously introduced “Surrounding” field emerges as a direct structural consequence of the modified spacetime–energy relation. The standard Einsteinian limit is recovered in configurations at scales below 15 kpc or in the presence of a constant Surrounding field, while systematic deviations appear in large-scale (>15 kpc) configurations with varying Surrounding.

A central result of the framework is the emergence of an effective long-range gravitational regime characterized by an asymptotic transition toward a $1/r$-like behaviour in large-scale systems dominated by a single central attractor. This behaviour arises as a structural large-scale limit of the theory.

In this context, the acceleration scale $a_0$ plays the role of a universal transition parameter between regimes. The associated scale $a_0/G$ defines an effective density scale governing equilibrium configurations, characterizing gravitational regimes within the framework.

The resulting effective dynamics exhibits MOND-like behaviour in large-scale systems dominated by a single central attractor, corresponding to the weak-field, low-acceleration regime of the theory. A full derivation of the Tully–Fisher relation is left for future work.

Author

Presentation materials

There are no materials yet.