Bruno, apologies for incorrect attribution and thank you for this insight. I will need time to understand "derive physics from a statistics on the natural number computable relations" as well as the shortcomings you illustrate regarding Tegmark and Schmidhuber; I'll begin by reading the SANE2004 paper. I happened to just now stumble upon "The Cognitive-Theoretic Model of the Universe: A New Kind of Reality Theory" by Christopher Michael Langan and was wondering if you had ever reviewed it? http://www.ctmu.net/
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