Local effects of global gravitation

TL;DR

This paper explores how the global gravitational field's properties influence local physics, linking cosmological expansion and curvature effects to quantum phenomena like Casimir energy.

Contribution

It provides a novel analysis of how global gravitational features affect local spacetime and entropy, connecting classical and quantum perspectives.

Findings

Global expansion influences local spacetime curvature.

Entropy growth is linked to the universe's global gravitational state.

Calculated energy density matches quantum Casimir energy results.

Abstract

In what respect does terrestrial physics reflect the two unique features of the global gravitational field: its infinite range and its equivalence to spacetime curvature? We quote the evidence that true irreversibility, i.e the growth of the Boltzmann entropy of any finite system, is the consequence of the global state of the gravitation dominated and expanding universe. Moreover, as another example, we calculate the effect of global expansion and of the gravitational potential observed in our Local Group on spacetime metric in terms of curvature. Surprisingly, we find an energy density which is in numerical agreement with the purely quantum theoretical result for the Casimir energy density containing Planck's constant.