https://doi.org/10.1140/epjc/s10052-008-0559-9
Regular Article - Theoretical Physics
A Machian solution of the hierarchy problem
1
Andronikashvili Institute of Physics, 6 Tamarashvili St., 0177, Tbilisi, Georgia
2
Javakhishvili State University, 3 Chavchavadze Avenue, 0128, Tbilisi, Georgia
* e-mail: gogber@gmail.com
Received:
26
November
2007
Revised:
3
February
2008
Published online:
11
March
2008
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.
© Springer-Verlag / Società Italiana di Fisica, 2008