Symmetry Supporting a Transition to Zero Cosmological Constant State

Understand

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.