On Fields with Finite Information Density
arXiv:hep-th/0404103 · doi:10.1103/PhysRevD.69.124014
Abstract
The existence of a natural ultraviolet cutoff at the Planck scale is widely expected. In a previous Letter, it has been proposed to model this cutoff as an information density bound by utilizing suitably generalized methods from the mathematical theory of communication. Here, we prove the mathematical conjectures that were made in this Letter.
31 pages, to appear in Phys.Rev.D
References in corpus (2)
Cited by in corpus (10)
- The relativistic quantum channel of communication through field quanta
- Spacetime could be simultaneously continuous and discrete in the same way that information can
- Information-theoretic natural ultraviolet cutoff for spacetime
- Glimmers of a pre-geometric perspective
- Applications of M.G. Krein's Theory of Regular Symmetric Operators to Sampling Theory
- The class of n-entire operators
- Relativistic Klein-Gordon charge effects by information-theoretic measures
- Lorentz-covariant sampling theory for fields
- Quantum lattice models that preserve continuous translation symmetry
- Sampling in AdS/CFT