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Ideas Behind Kolmogorov Complexity and Related Kolmogorov's Ideas about The Physical Impossibility of Large Integers: How Their Formalization Can Help in Foundations of Physics

2001/05/13 by Isaak A. Kunin, Владик Крейнович, Vladik Kreinovich +5
Computer Science · Mathematics · Physics and Astronomy · #Computability, Logic, AI Algorithms #FOS: Physical sciences #General Physics (physics.gen-ph) #Mathematical and Theoretical Analysis #Numerical Methods and Algorithms #physics.gen-ph

paper · pdf · doi:10.48550/arxiv.physics/0105038

arxiv created 2001/05/13 · openalex publication_date 2001/05/13 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In addition to the equations, physicists use the following additional difficult-to-formalize property: that the initial conditions and the value of the parameters must not be abnormal. We will describe a natural formalization of this property, and show that this formalization in good accordance with theoretical physics. At present, this formalization has been mainly applied to the foundations of physics. However, potentially, more practical applications are possible.

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