Information Theory



Adami, Chris, N. J. Cerf. "What Information Theory Can Tell Us about Quantum Reality." arXiv (6/14/98).
http://xxx.lanl.gov/abs/quant-ph/9806047
Represents the Ithaca interpretation of quantum mechanics: Quantum reality is complete, but appears incomplete from the observer's point of view for fundamental reasons arising from the quantum information theory of measurement. Quantum information theory tells us that only correlations, not the correlata, are physically accessible.

Bossard, David C. "Information and Order in the Universe: How Much Is There?" IBRI research reports No. 10.
http://www.ibri.org/10information.htm

Cahill, Reginald T., Christopher M. Klinger, Kirsty Kitto. "Process Physics: Modelling Reality as Self-organising Information." arXiv (9/8/00)
http://xxx.lanl.gov/abs/gr-qc/0009023
The new Process Physics models reality as self-organising relational information and takes account of the limitations of logic, discovered by Gödel and extended by Chaitin, by using the concept of self-referential noise. Space and quantum physics are emergent and unified, and described by a Quantum Homotopic Field Theory of fractal topological defects embedded in a three dimensional fractal process-space.

Cahill, Reginald T., Christopher M. Klinger. "Self-referential Noise as a Fundamental Aspect of Reality." arXiv (5/21/99).
http://xxx.lanl.gov/abs/gr-qc/9905082
Generalising results from Gödel and Chaitin in mathematics suggests that systems that are sufficiently rich that self-referencing is possible contain intrinsic randomness. The authors argue that this is relevant to modelling the universe, even though it is by definition a closed system.

Orthuber, Wolfgang. "To the Finite Information Content of the Physically Existing Reality." arXiv (8/28/01).
http://xxx.lanl.gov/abs/quant-ph/0108121
The thesis that, in the physical reality, only a finite information quantity can be processed within a finite time interval. For mathematical models whose representation requires a processing of an infinite quantity of information, for example irrational numbers, no (exact) equivalent exists in the physical reality. So mathematical calculations, which have an equivalent in physical reality, can include only rational (finitely many elementary) combinations of rational numbers.