Guest guest Posted September 23, 1999 Report Share Posted September 23, 1999 We had an interesting exchange of ideas about how science seems to be talking the language of spirituality. I enclose part of the discourse - some members of this list may like to add to it: (Some may find it heavy going - sorry!) jay >From Swaminathan Venkatraman> >I have read "Shadows of the mind" by Roger Penrose, only a part of it >actually. He lost me in the part where he delved into the proof of Godell's >theorem. Can you direct me to some source where this theorem is proved in a >slightly less rigorous manner i.e. a more "popular" version of the proof? Kurt Godel's incompleteness theorem is quite dramatic - it denies us the possibility of constructing a complete consistent mathematical description of reality. The proof is not that difficult to explain it uses infinite sets and one-to-one correspondence. The conclusions are:- Mathematics proves that mathematics is not adequate enough as a tool to explain 'REALITY' in total. (The system will be either consistent or complete - cannot be both). >can I paraphrase the theorem to mean that no system of logic can be both >"sufficient" and "complete" at the same time? If so, doesn't this have >drastic implications for how much science can understand of nature? Yes - the implications are that mathematics itself can never be enough to get a complete picture. (This proof pops out of mathematics itself! This is the greatness of mathematics - it shows its own limitations) >Also, I thought that chaos theory was a very respected field even within the >"establishment". However all that I understand of chaos is the very famous >example about a butterfly flapping its wings in the Amazon forest causing a >storm in Asia. Chaos theory is respectable to the extent that it talks about everything connected to everything else in a non-linear fashion. (The classical physics had a habit of connecting things in a linear manner). The result of non-linear relationship allows for dramatic things to happen which defies linear physics - hence the use of the word Chaos. When the Chaos theory talks of some 'underlying unity which connects everything to everything else in the universe instantaneously -- then the 'Science establishment' is not too keen. >Has the scientific establishment pronounced the last word on Aspect's >experiment? i.e. have they come up with a "causal" explanation for the >observation? >thanks and regards >Swami > EPR thought experiment was set up by Einstein to get away from the uncertainty theorem of quantum mechanics. He was sure that at a deeper level there is no uncertainty in the universe - just hidden variables which we have yet to be discovered. He thought that once we find these we can have complete picture of the universe (this is normal reductionist approach of classical physics). The Thought experiment became a real possibility in 1981. The idea behind this experiment was that if uncertainty principle holds then it may be possible to send information at speeds faster than light. This would throw a spanner in the works because in science we do not mess about with the law of causality. If information can travel at speeds faster than light 'the law of causality would be the victim'. Quite dramatic. The Aspect experiment uses pairs of entangled photons emitted in opposite directions to a distance of 12 meter separation. The direction in which to make the measurements of polarisation of the photons at each end is done while the photons are in flight -hence the photons do not have that information - yet the results at both ends "seem to show a spontaneous exchange" of information between the two photons! How did this information travel? - and it seems to have travelled at speeds faster than light! These result excited lot of interest from the 'new-age type scientists'. But the more established scientists say -- the key word is "seem to show spontaneous exchange" -- nothing more. You cannot use this experiment to do anything more than say devise a system of passing coded information between two people (the code that no one can ever break -- that is the best possible use, - there is nothing more - it cannot do anything to violate law of causality!). Hence we are back to square one. regards jay Quote Link to comment Share on other sites More sharing options...
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