The Mathematical Universe

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dc.creatorTegmark, Max
dc.date2007-04-05
dc.date2007-10-08
dc.date.accessioned2026-07-07T11:20:09Z
dc.date.available2026-07-07T11:20:09Z
dc.descriptionI explore physics implications of the External Reality Hypothesis (ERH) that there exists an external physical reality completely independent of us humans. I argue that with a sufficiently broad definition of mathematics, it implies the Mathematical Universe Hypothesis (MUH) that our physical world is an abstract mathematical structure. I discuss various implications of the ERH and MUH, ranging from standard physics topics like symmetries, irreducible representations, units, free parameters, randomness and initial conditions to broader issues like consciousness, parallel universes and Godel incompleteness. I hypothesize that only computable and decidable (in Godel's sense) structures exist, which alleviates the cosmological measure problem and help explain why our physical laws appear so simple. I also comment on the intimate relation between mathematical structures, computations, simulations and physical systems.
dc.descriptionReplaced to match accepted Found. Phys. version, 31 pages, 5 figs; more details at http://space.mit.edu/home/tegmark/toe.html
dc.identifierhttps://arxiv.org/abs/0704.0646
dc.identifierhttp://arxiv.org/abs/0704.0646
dc.identifierFound.Phys.38:101-150,2008
dc.identifierdoi:10.1007/s10701-007-9186-9
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/193874
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectAstrophysics
dc.subjectHigh Energy Physics - Theory
dc.titleThe Mathematical Universe
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