Mathematical universe hypothesis

According to the hypothesis, our external physical reality is a mathematical structure . That is, the physical world is mathematical in a certain sense, and “ those worlds are complex enough to hold self-conscious substructures that will subjectively perceive themselves as existing in the physically" real "world " ^{[3] [4]} . The hypothesis suggests that worlds corresponding to different sets of initial states , physical constants , or completely different equations can be considered as equally real. Tegmark develops the GMWs within the Calculated Universe Hypothesis (GWV), which states that all the mathematical structures that can be calculated exist

Tegmark argues that the hypothesis does not have free parameters and is possibly experimental. Thus, he gives it a high priority relative to other "theories of everything" on the principle of economy . He believes that conscious experience will take the form of mathematical "self-conscious substructures" that exist in the physically "real" world.

The theory can be seen as:

• kind of Pythagorism or Platonism , because it claims the existence of mathematical objects;
• a kind of mathematical monism , because it denies the existence of anything other than mathematical objects;
• formal expression of ontic structural realism .

The hypothesis is connected with the anthropic principle and categorization of Tegmark about the four levels of the multiverse ^[5] .
The hypothesis suggests a solution to the paradox of infinite regression .

Andreas Albrecht from Imperial College London called the theory a “provocative” solution to one of the central problems facing physics. Despite the fact that he “would not dare” to go so far as to say what he believes in, he noted that “in fact, it is rather difficult to build a theory where everything that we see is everything that is” ^{[6 ]} .

In a review article, Jeremy Butterfield (Prof. Cambridge University ) strongly opposes the constructions of M. Tegmark.

• Cosmology
• Digital physics
• Impossible world
• Modal realism
• Multiverse
• Ontology
• String theory
• Multi world interpretation

• Tegmark, Max . Our Mathematical Universe: My Quest for the Ultimate Nature of Reality (2014), ISBN 978-0-307-59980-3

Additional

• Jürgen Schmidhuber . "The Computer Scientist's View of Life, the Universe, and Everything " in C. Freksa, ed., Foundations of Computer Science: Potential - Theory - Cognition . Lecture Notes in Computer Science. Springer : 201-08. (1997)
• Tegmark, Max. Is the 'theory of everything' merely the ultimate ensemble theory? (English) // Annals of Physics : journal. - 1998. - Vol. 270 - P. 1-51 . - DOI : 10.1006 / aphy.1998.5855 . - . - arXiv : gr-qc / 9704009 .
• Tegmark, Max . " The Mathematical Universe ", Foundations of Physics 38 : 101-50. (2008)

• Jürgen Schmidhuber . Computable Universes & Algorithmic Theory of Everything: The Computational Multiverse (Computed Universes and Algorithmic Theory of Everything) // idsia.ch, 2010 (eng.)
• Welcome to my crazy Universes - "The Universes of Max Tegmark" (Eng.)
• Is the Universe Actually Made of Math? Cosmologist Max Tegmark, create reality (Is the Universe built on mathematics?) // discovermagazine.com, June 16, 2008 (eng.)