A Machian Solution of the Hierarchy Problem

TL;DR

This paper proposes a Machian interpretation of mass that, within an alternative gravitational model, explains the hierarchy problem by linking the Planck and electroweak scales to the universe's gravitating particles, potentially leading to observable cosmological effects.

Contribution

It introduces a novel Machian gravitational model where the universe's influence reduces the Planck scale to the electroweak scale, addressing the hierarchy problem.

Findings

The model links the hierarchy to the number of gravitating particles within the horizon.

It predicts observable effects at cosmological distances.

It suggests a new interpretation of mass based on Mach's principle.

Abstract

The new interpretation of Mach's principle of mass of a particle being a measure of the interactions of this particle with all other gravitating particles inside its causal spheres is introduced. It is shown that within some alternative model of gravitation that incorporates this principle, the Machian influence of the universe can reduce Planck's scale to the electro-weak scale and the large number that is needed to explain the hierarchy between the scales is the amount of gravitating particles inside the universe horizon. Our model can lead to new observable effects at cosmological distances and close to the sources of a strong gravitational field.