- Quantum gravity I
- Quantum gravity II
- Relativistic quantum information
- Quantum computing
- Communication engineering
- Shannon sampling theory/data compression
- Mathematical biology
- Radar signal design for maximum information return
- The Casimir effect in layered superconductors
- Combinatorics in quantum field theory
- Further interests: Consciousness
How can general relativity and quantum theory be unified in one theory?
I showed that spacetime could be simultaneously continuous and discrete, in the same way that information can. This yields a new connection in between the fields of information theory and quantum gravity, and the emerging methods have the potential to be useful in both fields.
Watch the video of a talk I gave on this topic at the Santa Fe Institute in February 2011, and a short video-abstract on New Journal of Physics.
Read the "Spacetime could be simultaneously continuous and discrete, in the same way that information can be" short paper in Physical Review Letters (PDF), and the latest, longer paper in New Journal of Physics (PDF).
- A. Kempf, Spacetime could be simultaneously continuous and discrete, in the same way that information can be, New Journal of Physics, 12, 115001 (2010)
- A. Kempf, Information-theoretic natural ultraviolet cutoff for spacetime, Physical Review Letters 103, 231301 (2009), arXiv:0908.3061.
- A. Kempf, R.T. Martin, Information Theory, Spectral geometry and Quantum Gravity, Phys. Rev. Lett., 100, 021304 (2008)
- R.T. Martin, A. Kempf, Quantum Uncertainty and the Spectra of Symmetric Operators, Acta Appl. Math. 106, pp.349-358, (2009)