Relativistic Particles And The Cosmological Constant

TL;DR

This paper explores a relativistic particle model incorporating Hamiltonian constraints to investigate how a cosmological constant and short-distance gravity weakening suggest the existence of gravitational dipoles, offering insights into quantum gravity phenomena.

Contribution

It introduces a toy model linking Hamiltonian constraints with gravitational dipoles, providing a novel interpretation of the cosmological constant and short-distance gravity effects.

Findings

Non-zero cosmological constant linked to gravitational dipoles.

Short-distance gravity weakening may indicate gravitational dipoles.

Model offers a new perspective on quantum gravity phenomena.

Abstract

We study a general relativistic particle action obtained by incorporating the Hamiltonian constraints into the formalism as a toy model for general relativity and string theory. We show how a non-vanishing cosmological constant and a weakening of gravity at short distances may be interpreted as evidences for the existence of gravitational dipoles.