Pulsating Vacuum States
Abstract
A function in projective space is introduced for describing matter states. Spacetime is explained by additions on elliptic curves and chaotic one-dimensional quadratic maps. The introduced vacuum state is like a paired superfluid state of a non-Hermitian Hamiltonian. Doubly-periodic stable orbits are investigated in a quadratic surrounding of nontrivial zeros of the zeta function. The relevant partition function indicates phase transitions and predicts various vacuum states in dependence on processing. Partition function zeros quadratic in two complex masses and two complex curvatures of spacetime are predicted phase transitions which are statistically dominating instead of being exceptional.
Fields of Study & Subjects
Quantum Mechanics and Non-Hermitian Physics
Quantum chaos and dynamical systems
Black Holes and Theoretical Physics
Publication details
- Journal / source
- Journal of High Energy Physics Gravitation and Cosmology
- Publisher
- Scientific Research Publishing, Inc.
- Volume
- 12
- Issue
- 03
- Pages
- 1409–1420
- Publication date
- 1 January 2026