A Machian Solution of the Hierarchy Problem

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.

The version accepted by Eur. Phys. J. C

References in corpus (3)

• The fundamental constants and their variation: observational status and theoretical motivations
• Scales of Gravity
• Scale-Invariant Gravity: Particle Dynamics

Cited by in corpus (11)

• Machian Origin of the Entropic Gravity and Cosmic Acceleration
• Thermodynamic Gravity and the Schrodinger Equation
• 'Universal' FitzGerald Contractions
• Information-Probabilistic description of the Universe
• Cosmological parameters from the thermodynamic model of gravity
• A New interpretation of MOND based on Mach principle and an Unruh like effect
• Towards an information description of space-time
• Probing the Information-Probabilistic Description
• Cosmological Constant from the Entropy Balance Condition
• The Klein-Gordon equation in Machian model
• The bimetric model with an informational metric tensor