Coherent states of quantum spacetimes for black holes and de Sitter spacetime

• Autores: Cirilo, Diego Julio; Sanchez, Norma G.
• Año de publicación: 2023
• Idioma: inglés
• Tipo de recurso: artículo
• Materia: COHERENT STATES; QUANTUM GRAVITY; COSMOLOGY; ASTROPHYSICS
• Institución: Consejo Nacional de Investigaciones Científicas y Técnicas

We provide a group theory approach to coherent states describing quantum space-time and its properties. This provides a relativistic framework for the metric of a Riemmanian space with bosonic and fermionic coordinates, its continuum and discrete states, and a kind of "quantum optics"for the space-time. New results of this paper are: (i) The space-time is described as a physical coherent state of the complete covering of the SL(2C) group, e.g., the metaplectic group Mp(n). (ii) (The discrete structure arises from its two irreducible even (2n) and odd (2n+1) representations, (n=1,2,3...), spanning the complete Hilbert space H=Hodd Heven. Such a global or complete covering guarantees the CPT symmetry and unitarity. Large n yields the classical and continuum manifold, as it must be. (iii) The coherent and squeezed states and Wigner functions of quantum-space-time for black holes and de Sitter, and (iv) for the quantum space-imaginary time (instantons), black holes in particular. They encompass the semiclassical space-time behavior plus high quantum phase oscillations, and notably account for the classical-quantum gravity duality and trans-Planckian domain. The Planck scale consistently corresponds to the coherent state eigenvalue α=0 (and to the n=0 level in the discrete representation). It is remarkable the power of coherent states in describing both continuum and discrete space-time. The quantum space-time description is regular, there is no any space-time singularity here, as it must be.
Fil: Cirilo, Diego Julio. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Física del Plasma. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Física del Plasma; Argentina
Fil: Sanchez, Norma G.. Sorbonne University; Francia