Symmetry Supporting a Transition to Zero Cosmological Constant State

TL;DR

This paper shows that the Two Measures Field Theory (TMT) has an intrinsic symmetry in the zero cosmological constant state, providing a natural solution to the old CC problem without fine tuning, consistent with general relativity and inflation.

Contribution

The paper reveals an intrinsic symmetry in TMT that supports a transition to a zero CC state, avoiding fine tuning and aligning with observational tests.

Findings

TMT possesses a symmetry in the zero CC ground state.

This symmetry involves metric reflection $g_{\mu\nu} \to -g_{\mu\nu}$.

The approach avoids fine tuning issues present in other models.

Abstract

In a number of previous publications we demonstrated that the Two Measures Field Theory (TMT) enables to resolve the old cosmological constant (CC) problem avoiding the Weinberg's no-go CC theorem and together with this TMT agrees with all tests of the Einstein's general relativity and allows inflationary scenarios. Analysis performed in the present paper shows that there exists an intrinsic symmetry of TMT which emerges in the $\Lambda =0$ ground state. This symmetry contains a subgroup of reflections of the metric $g_{\mu\nu}\to -g_{\mu\nu}$ studied recently by a number of authors as the symmetry imposing zero CC. We show that realization of this idea in TMT is free of fine tuning and has no problems typical to other approaches.