1997/04/30 by Max Tegmark · 5 citations
Earth and Planetary Sciences · Physics and Astronomy · #Earth Systems and Cosmic Evolution #Quantum Mechanics and Applications #Statistical Mechanics and Entropy #gr-qc
paper · pdf · doi:10.1006/aphy.1998.5855
published as Annals Phys.270:1-51,1998 · 29 pages, revised to match version published in Annals of Physics. The New Scientist article and color figures are available at http://www.sns.ias.edu/~max/toe_frames.html or from [email protected]
openalex publication_date 1998/11/01 · arxiv created 1998/12/01 · arxiv updated 2013/03/11 · openalex created_date 2019/06/27 · openalex updated_date 2026/07/29
We discuss some physical consequences of what might be called ``the ultimate ensemble theory'', where not only worlds corresponding to say different sets of initial data or different physical constants are considered equally real, but also worlds ruled by altogether different equations. The only postulate in this theory is that all structures that exist mathematically exist also physically, by which we mean that in those complex enough to contain self-aware substructures (SASs), these SASs will subjectively perceive themselves as existing in a physically ``real'' world. We find that it is far from clear that this simple theory, which has no free parameters whatsoever, is observationally ruled out. The predictions of the theory take the form of probability distributions for the outcome of experiments, which makes it testable. In addition, it may be possible to rule it out by comparing its a priori predictions for the observable attributes of nature (the particle masses, the dimensionality of spacetime, etc) with what is observed.