Quantum Big-Bounce as a phenomenology of RQM in the Mini-superspace
arXiv:2404.02802 · doi:10.1016/j.physletb.2024.138983
Abstract
We investigate the emergence of a quantum Big-Bounce in the context of an isotropic Universe, filled by a self-interacting scalar field, which plays the role of a physical clock. The bouncing cosmology is the result of a scattering process, driven by the scalar field potential, which presence breaks down the frequency separation of the Wheeler-DeWitt equation, treated in strict analogy to a relativistic quantum system. Differently from previous analyses, we consider a really perturbative self-interaction potential, affecting the dynamics in a finite range of the time labeled by the scalar clock (and in particular we remove the divergent character previously allowed). The main result of the present analysis is that, when the Relativistic Quantum Mechanics formalism is properly implemented in the Mini-superspace analogy, the probability amplitude for the bounce is, both in the standard and polymerized case, characterized by a maximum in correspondence of the quasi-classical condition of a Universe minimum volume.
arXiv comment8 pages, 2 figures
References in corpus (29)
- Discreteness of area and volume in quantum gravity
- Loop Quantum Cosmology: A Status Report
- Quantum Nature of the Big Bang: Improved dynamics
- Quantum Nature of the Big Bang
- Cosmic Evolution in a Cyclic Universe
- A Cyclic Model of the Universe
- Ekpyrotic and Cyclic Cosmology
- New Ekpyrotic Cosmology
- Loop quantum cosmology of k=1 FRW models
- Polymer Quantum Mechanics and its Continuum Limit
- Semi-classical States, Effective Dynamics and Classical Emergence in Loop Quantum Cosmology
- Casting Loop Quantum Cosmology in the Spin Foam Paradigm
- Loop Quantum Cosmology and Spin Foams
- The Bianchi IX model in Loop Quantum Cosmology
- A Proposal for Solving the ``Problem of Time" in Canonical Quantum Gravity
- Hamiltonian and physical Hilbert space in polymer quantum mechanics
- Generalized effective description of loop quantum cosmology
- Applications of a New Proposal for Solving the "Problem of Time" to Some Simple Quantum Cosmological Models
- An Overview on the Nature of the Bounce in LQC and PQM
- Implications of the gauge-fixing in Loop Quantum Cosmology
- A critical analysis of the cosmological implementation of Loop Quantum Gravity
- Polymer Quantum Dynamics of the Taub Universe
- Effective Field Theory of Loop Quantum Cosmology
- Polymer dynamics of isotropic universe in Ashtekar and in volume variables
- Non-bouncing solutions in loop quantum cosmology
- Quantum Big Bounce of the isotropic Universe via a relational time
- Semiclassical solutions of generalized Wheeler-DeWitt cosmology
- Loop Quantum Cosmology of non-diagonal Bianchi models
- Is the diagonal case a general picture for Loop Quantum Cosmology?