Hi Russell and Bruno, I’ve been slowly reading “The Theory of Nothing” by Russell K. Standish and stumbled over the following sentence (that has Bruno’s discussion of the Movie Graph Argument and Maudlin’s Olympia and Klara in the context): “All physical processes occupying single predetermined world lines must be equivalent to a recording of the process.” pg. 144.
1) Does this statement not seem only consistent with a purely Newtonian definition of a process such that the “single predetermined world line”? How is the fact that our physical world is demonstrably only approximately Newtonian not require us to rethink this statement? I contend that there is a lot of rubbish ideas being taken seriously by serious thinkers in fundamental studies. One is that the Planck constant implies that Nature’s behaviors only exists in integer multiples of this constant. Such an assumption leads to nonsense such as the idea that space-time is granular at small size/high energy scales. This idea has observable consequences that have been observed to not be the case. Resent observations of ultra high energy gamma ray photons have shown that space-time is smooth even at those scales in direct violation of the nonsense’s predictions. Are we not using empirical evidence to guide our considerations? 2) How is there a difference between the information content in the recording and the information content implicit in the causal structure that is implicit in the phrase “single predetermined world line”? I worry that we are running roughshod over subtle arguments about why our physical world requires at least the Real numbers to be described faithfully. The conservation laws require, per Noether’s theorems, smooth analycity of the transformation of both spatial and temporal variables. http://en.wikipedia.org/wiki/Noether%27s_theorem How do we obtain this within integer combinatorics except as only approximations? Are we not making a category error in implicit claim that integer approximations of a Real or Complex number is equal to that real or complex number? 3) What requirements exist on the “recording of the process”? It seems to be that the computational complexity that might be required to generate the recording is neglected in this notion of “a recording of the process”. For example, the bit string that is encoded on a DVD of the movie Avatar is non-informative of the complete process that lead causally to the particular sequence of reflecting and non-reflecting pips on the metal foil of the DVD plastic disc. One could prove that there could exists a very large number of physical processes that are capable of generating that particular sequence! Additionally, given a complete set of strings that have the same bit length generated by a purely random process, there is at least one that is identical to that of the movie! 4) How is a “recoding” (as considered here) different from the output of a computation? (There a computation is one that follows the typical Turing Machine definition.) It seems to me that both are imaged to be identical N –> N maps. I keep going back to Wolfram’s discussion of how, paraphrasing, the best possible model of a physical system’s evolution is the actual evolution of that system. Wolfram’s claim seems to imply an equality between a notion of a “faithful” simulation A of a process A* and an actual physical process A such that if it can be shown that computational system X cannot generate A* then it cannot be considered to be able to implement A. I think that we might be overlooking something important in this! While it seems true that an N->N mapping process can be should to eventually span all integers that are arbitrarily close to all Real numbers, this process requires an infinity and we should be very cautious when invoking infinities within our attempted explanations of what we experience. I worry that we are playing fast and loose with our requirement of mathematical soundness for theories of physics. We are fallible and can make a serious mistake by projecting our crude and finitesimal approximations as objective 3p facts. Beware of White Rabbits! Onward! Stephen PS, The Theory of Nothing is the first book that actually takes Roy Frieden’s and Shun-ichi Amari’s work seriously! I have studied the research of both a while back and was very impressed by their ideas. -- You received this message because you are subscribed to the Google Groups "Everything List" group. To post to this group, send email to email@example.com. To unsubscribe from this group, send email to everything-list+unsubscr...@googlegroups.com. For more options, visit this group at http://groups.google.com/group/everything-list?hl=en.