Analogy of space-time as an elastic medium, estimation creep coefficient of space from MOND theory, gravitational lensing and via time data from the GPS effect, discussion of the results for dark matter and Einstein's field equation

TL;DR

This paper models space-time as an elastic medium, using MOND theory, gravitational lensing, and GPS data to estimate a creep coefficient of space, offering a potential alternative to dark matter explanations for gravitational anomalies.

Contribution

It introduces a novel approach linking space-time elasticity and creep coefficients to explain galactic rotation curves and lensing without dark matter, based on MOND and observational data.

Findings

Creep coefficients vary between 0.2 and 9 for galaxies.

Creep coefficient for galaxy clusters ranges from 0.66 to 4.

Proposes a granular space fabric as an alternative to dark matter.

Abstract

After recalling the principles that allow space-time to be considered by analogy as an elastic medium, we show how the modified gravity according to the MOND theory concerning the anomaly of the velocities of stars at the periphery of galaxies can be seen as a creep of space acting on the radius of galaxies that gives a creep coefficient of Phi(space) = ((a0/a) x (Ro local/ Ro mean) -1). The values vary between 0.2 and 9 depending on the type of galaxy and density distribution. Considering the gravitational lensing effect of the ball cluster we obtain a creep coefficient Phi (space) = (1-pv)/pv. With pv the percentage of visible matter and pDM the percentage of Dark matter from the global mass (pv + pDM =1). The values vary between 0.66 and 4 for this cluster. This paper therefore raises the question, via these creep coefficients, of the possible granular nature of the vacuum and therefore of space fabric on the one hand and proposes another dark matter-free approach based on the creep of the texture of space to explain gravitational anomalies on the other hand.