I should also mention that directed cyclic NOR networks have been studied as generators of the dimensionless scaling constants by the Alternative Natural Philosophy Association <https://pdfs.semanticscholar.org/c0f7/fb0af4cda54d698f4b8afe6ab4158f39c00f.pdf>. In other words, there is reason to believe the dimensionless physical constants are an inevitable consequence of the logical property of distinguishability. Distinguishability is the basis of radical constructivism's utilization of G. S. Brown's Laws of Form <http://homepages.math.uic.edu/~kauffman/Laws.pdf>, an interpretation of which is directed cyclic NOR networks. Moreover, there is reason to believe complete physical laws are dimensionless proportionalities between ratios of similar dimensioned physical propeties. Quoting from "The Principle of Physical Proportions <https://www.ifi.unicamp.br/~assis/Annales-Fond-Louis-de-Broglie-V29-p149-171(2004).pdf>" Andre Assis:
ABSTRACT. We propose the principle of physical proportions, according to > which all laws of physics can depend only on the ratio of known quantities > of the same type. An alternative formulation is that no dimensional > constants should appear in the laws of physics; or that all “constants” of > physics (like the universal constant of gravitation, light velocity in > vacuum, Planck’s constant, Boltzmann’s constant etc.) must depend on > cosmological or microscopic properties of the universe. With this > generalization of Mach’s principle we advocate doing away > with all absolute quantities in physics. We present examples of laws > satisfying this principle and of others which do not. These last examples > suggest that the connected theories leading to these laws must be > incomplete. We present applications of this principle in some fundamental > equations of physics. Briefly, the Principle of Physical Proportions states that any "complete" physical law has a dimensionless canonical form: X1/X2 = c*Y1/Y2 Where the ratios are dimensionless and the constant 'c' is dimensionless. If one takes Randell Mills's "Grand Unified Theory of Classical Physics" seriously (and I do) he has, even *without* the above ansatz, has calculated an amazing array of physical properties <http://www.millsian.com/summarytables/SummaryTables022709S.pdf> from "fundamental constants only" and IIRC the number of such constants is smaller than in the Standard Model. I'll try to look up what that reduced set of constants is and provide it along with a formulary deriving other constants of the Standard Model. On Sun, Oct 6, 2019 at 10:07 AM James Bowery <jabow...@gmail.com> wrote: > Directed Cyclic NOR (or NAND) networks suffice as natural Turing machines. > > On Sun, Oct 6, 2019 at 2:00 AM Ben Goertzel <b...@goertzel.org> wrote: > >> Matt, >> >> > It probably takes a few hundred bits to describe the laws of physics. >> >> Hmm, that seems very few, just taking a look at the Standard Model and >> General Relativity right now... >> >> What sort of machine are you assuming is interpreting these bits? If >> it's some sort of standard Turing machine with a tape etc., or a >> standard modern Intel processor running e.g. standard Linux OS/tools >> with no special physics software, then I kinda think it's more than >> that... >> >> ben >> >> On Sat, Oct 5, 2019 at 5:01 PM Matt Mahoney <mattmahone...@gmail.com> >> wrote: >> > >> > >> > >> > On Sat, Oct 5, 2019, 8:00 AM John Rose <johnr...@polyplexic.com> wrote: >> >> >> >> On Friday, October 04, 2019, at 12:42 PM, Matt Mahoney wrote: >> >> >> >> Evolution is arguably simple, but it required 10^48 DNA copy >> operations on 10^37 bits to create human intelligence >> >> >> >> >> >> Simple programs that create apparent complexity are not full >> representations of that complexity since they don't contain the physical >> energy expenditure component in the expression. That's where the >> consciousness of an observer comes in to play (IMO). >> > >> > >> > The complexity of an object is the fewest number of symbols needed to >> describe it in some language. It has nothing to do with computation time, >> energy, or consciousness. It is only the simplicity of a theory that >> determines its power in making predictions in accordance with Occam's >> Razor. This holds in all branches of science. >> > >> > Simpler descriptions are usually slower. For example, the simplest >> description of pi is probably the Taylor series expansion of 4 x arctan(1) >> = 4 x (1 - 1/3 + 1/5 - 1/7 +...). But that converges very slowly. You need >> a million terms to get the first 6 decimal places. There are faster >> algorithms, but it is the simplest formula that determines how often pi >> turns up in various places. >> > >> > Likewise, a description of evolution would require a model of >> chemistry, which would require 10^90 (quantum) operations to model just the >> Earth, or 10^120 operations to model all 10^24 planets in the observable >> universe and their sun's, even if Earth is the only one containing life. >> The latter model requires 80 fewer bits to encode because it doesn't have >> to specify the planet. It allows for models in which the spontaneous >> formation of self replicating molecules is exceedingly rare, as it seems to >> be. >> > >> > It probably takes a few hundred bits to describe the laws of physics. >> But an even simpler model, requiring vastly more computation, is that all >> possible universes with all possible laws of physics exist, and we >> necessary observe one where it is possible for life to evolve. >> > >> > Artificial General Intelligence List / AGI / see discussions + >> participants + delivery options Permalink >> >> -- >> Ben Goertzel, PhD >> http://goertzel.org >> >> “The only people for me are the mad ones, the ones who are mad to >> live, mad to talk, mad to be saved, desirous of everything at the same >> time, the ones who never yawn or say a commonplace thing, but burn, >> burn, burn like fabulous yellow roman candles exploding like spiders >> across the stars.” -- Jack Kerouac ------------------------------------------ Artificial General Intelligence List: AGI Permalink: https://agi.topicbox.com/groups/agi/T8eabd59f2f06cc50-M5774929da2b8f8e8669d6445 Delivery options: https://agi.topicbox.com/groups/agi/subscription
