Machian strings as an alternative to dark matter

TL;DR

This paper proposes a Machian string model as an alternative explanation for dark matter effects, successfully reproducing galaxy rotation curves and MOND phenomenology without invoking dark matter particles.

Contribution

It introduces a simple interaction model of Machian strings that accounts for gravitational anomalies at galactic scales while avoiding dark matter in the Solar System.

Findings

Reproduces galaxy rotation curves consistent with MOND

Explains absence of dark matter effects in the Solar System

Provides a unified Machian string framework for gravitational phenomena

Abstract

Dark matter effects may be attributed to interactions between the Machian strings connecting every pair of elementary particles in the observable Universe. A simple model for the interaction between Machian strings is proposed. In the early Universe, the Machian strings of a density perturbation had a spherically symmetric distribution and the interaction with the Machian strings of a test particle is found to give a multiple of the Newtonian gravitational acceleration. In a strong gravitational field, the interaction between Machian strings tends to a constant limit in order to ensure the absence of dark matter effects in the Solar System. Dark matter effects on a galactic scale may be attributed to a change in the distribution of the Machian strings around a galaxy during the process of galaxy formation. The interaction between the Machian strings of a test mass and the Machian strings of a galaxy is considered in detail and the MOND phenomenology for galaxy rotation curves is obtained.