The Holographic Entropy Bound and Local Quantum Field Theory
arXiv:gr-qc/0303023 · doi:10.1103/PhysRevLett.91.041302
Abstract
The maximum entropy that can be stored in a bounded region of space is in dispute: it goes as volume, implies (non-gravitational) microphysics; it goes as the surface area, asserts the "holographic principle." Here I show how the holographic bound can be derived from elementary flat-spacetime quantum field theory when the total energy of Fock states is constrained gravitationally. This energy constraint makes the Fock space dimension (whose logarithm is the maximum entropy) finite for both Bosons and Fermions. Despite the elementary nature of my analysis, it results in an upper limit on entropy in remarkable agreement with the holographic bound.
5 pages, RevTeX, 1 eps figure
References in corpus (1)
Cited by in corpus (23)
- Quantum-enhanced measurements: beating the standard quantum limit
- Entropy, entanglement, and area: analytical results for harmonic lattice systems
- Black Hole Thermodynamics
- Minimal Length in Quantum Gravity, Equivalence Principle and Holographic Entropy Bound
- Gravitational decoherence
- Quantum fields, non-locality and quantum group symmetries
- Black-hole entropy and minimal diffusion
- Entropy bound of local quantum field theory with generalized uncertainty principle
- Scalar Field Contribution to Rotating Black Hole Entropy
- The Entropy Bound for Local Quantum Field Theory
- Entropy, holography and the second law
- Holographic entropy bound from gravitational Fock space truncation
- Accelerated horizons and Planck-scale kinematics
- Hyperentropic systems and the generalized second law of thermodynamics
- Violation of the Holographic Principle in the Loop Quantum Gravity
- New views on the low-energy side of gravity
- Entropy Bound with Generalized Uncertainty Principle in General Dimensions
- How Low Can Vacuum Energy Go When Your Fields Are Finite-Dimensional?
- Entanglement Induced Fluctuations of Cold Bosons
- Holographic phenomenology via overlapping degrees of freedom
- On the Quantum Mechanics for One Photon
- Entropy and Area in Loop Quantum Gravity
- Codimension-2 surfaces and their Hilbert spaces: low-energy clues for holography from general covariance