Non-integrability and Mach's principle in Induced Matter Theory
S. Jalalzadeh
TL;DR
This paper explores the implications of non-integrability and Mach's principle within Induced Matter Theory, redefining geodesic equations and analyzing the effects of extra forces on particle motion.
Contribution
It introduces a new perspective on the geodesic equation in induced matter theory and links non-integrability to Mach's principle.
Findings
Extra forces do not alter the four-impulse of massive particles.
The 4D space-time in this theory is non-integrable.
A relation between non-integrability and Mach's principle is established.
Abstract
The geodesic equation in induced matter theory is redefined. It is shown that the extra forces do not change the four-impulse of massive particles. We show that the 4D space-time is non-integrable and find the relation between non-integrability and the Mach's principal.
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