Quantum black holes as classical space factories
arXiv:2308.15519 · doi:10.1142/S0218271823500633
Abstract
Space and matter may both be manifestations of a single fundamental quantum dynamics, as it may become evident during black-hole evaporation. Inspired by the fact that quantum electrodynamics underlies the classical theory of elasticity, that in turn has a natural and well-known geometric description in terms of curvature and torsion, related to topological defects, here we move some necessary steps to find the map from such fundamental quantum level to the emergent level of classical space and quantum matter. We proceed by adapting the boson transformation method of standard quantum field theory to the quantum gravity fundamental scenario and successfully obtain the emergence of curvature and torsion, our main focus here. In doing so, we have been able to overcome difficult issues of interpretation, related to the Goldstone modes for rotational symmetry. In fact, we have been able to apply the boson transformation method to disclinations, to relate them to the spin structure and to give an heuristic derivation of the matter field equation on curved space. We also improve results of previous work on the emergence of geometric tensors from elasticity theory, as the non-Abelian contributions to the torsion and curvature tensors, postulated in those papers, here emerge naturally. More work is necessary to identify the type of gravity theories one can obtain in this way.
References in corpus (50)
- Thermodynamics of Spacetime: The Einstein Equation of State
- On the Origin of Gravity and the Laws of Newton
- Thermodynamical Aspects of Gravity: New insights
- Quantum Time Crystals
- The soft mode in the Sachdev-Ye-Kitaev model and its gravity dual
- Non-equilibrium Thermodynamics of Spacetime
- Absence of Quantum Time Crystals
- Spectroscopy of the quantum black hole
- Quantum Gravity from Causal Dynamical Triangulations: A Review
- Entanglement Equilibrium and the Einstein Equation
- Group Field Theory: An overview
- Spontaneously Broken Spacetime Symmetries and Goldstone's Theorem
- General Properties of Noncommutative Field Theories
- Uncertainty Relation on World Crystal and its Applications to Micro Black Holes
- Spontaneous Symmetry Breaking and Nambu-Goldstone Bosons in Quantum Many-Body Systems
- On the number of Nambu-Goldstone bosons and its relation to charge densities
- Redundancies in Nambu-Goldstone Bosons
- Quantum field theory in curved graphene spacetimes, Lobachevsky geometry, Weyl symmetry, Hawking effect, and all that
- Non-equilibrium Thermodynamics of Spacetime: the Role of Gravitational Dissipation
- Generalized Uncertainty Principle and Corpuscular Gravity
- The Hawking-Unruh phenomenon on graphene
- Counting Rules of Nambu-Goldstone Modes
- Weyl-Gauge Symmetry of Graphene
- Conservative entropic forces
- Spontaneous breaking of continuous translational invariance
- Curved Spacetimes and Curved Graphene: a status report of the Weyl-symmetry approach
- Annihilation of colliding Bogoliubov quasiparticles reveals their Majorana nature
- Classical Limit of Black Hole Quantum N-Portrait and BMS Symmetry
- Revisiting the gauge fields of strained graphene
- Spinor Gravity
- The Hilbert Space of Quantum Gravity Is Locally Finite-Dimensional
- Squeezed Neutrino Oscillations in Quantum Field Theory
- On the Space-Time Symmetries of Non-Commutative Gauge Theories
- Flavour Condensates in Brane Models and Dark Energy
- (Anti-)de Sitter, Poincaré, Super symmetries, and the two Dirac points of graphene
- Torsion in quantum field theory through time-loops on Dirac materials
- Dynamical generation of field mixing via flavor vacuum condensate
- Comment on "Noncommutative gauge theories and Lorentz symmetry, Phys. Rev. D {\bf 70}, 125004 (2004) by R.Banerjee, B.Chakraborty and K.Kumar"
- Hunting Quantum Gravity with Analogs: the case of graphene
- Bekenstein bound from the Pauli principle
- New perspective on thermodynamics of spacetime: The emergence of unimodular gravity and the equivalence of entropies
- On the implications of the Bekenstein bound for black hole evaporation
- Some non-trivial aspects of Poincaré and CPT invariance of flavor vacuum
- Condensate Structure of D-particle Induced Flavour Vacuum
- Deconfining the rotational Goldstone mode: the superconducting nematic liquid crystal in 2+1D
- Topological defects as inhomogeneous condensates in Quantum Field Theory: Kinks in (1+1) dimensional $\la ψ^4$ theory
- Analog spacetimes from nonrelativistic Goldstone modes in spinor condensates
- Time dependent Entanglement Entropy in SYK models and Page Curve
- Two arguments for more fundamental building blocks
- Quantum black holes, partition of integers and self-similarity