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vol 7: Notes 2002
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... to restore theology to the mainstream of science
[Notebook Turkey, DB 55] [Sunday 27 January 2002 - Saturday 2 February 2002] [page 33] Sunday 27 January 2002Monday 28 January 2002The Tao of physics seems to spend most of its time tilting at paper tigers constructed by asserted misunderstandings of history. Capra. It seems that human intellectual development, properly understood, follows a pretty straight course. Most of the claims and counterclaims made by schools of thought are just eddies in the flow. There seems to have been enough coupling between east and west (and north and south, etc etc) (at least at the level of those wealthy enough to read, travel, etc) to keep the ideas of the world more or less in synch. Capra asserts that he and his kind are the vanguard of a new style of thought which is in fact thousands of years old. We call it rationalism, or idealism, trying to discern the structure of the world by reflecting on the structure of mind and knowledge. In the tradition I am following, Lonergan is one of the most recent examples of this, but his work is less enlightening than the mathematical modelling approach to knowledge which we are trying to capture with the transfinite network. Lonergan. It is becoming clearer that the next developments on my path will come from a closer study of [page 34] structures in Hilbert space. Here, by studying the structure and composition of transfinite Hilbert spaces we hope to arrive at a comprehensive metaphysics, that is a general heuristic structure for the whole universe, ie a model of god which, by determination of the actual structures that are realized, gives us a model of this world, at the same time as showing us the possibilities that might exist in other worlds. The relationship between non-relativistic QM and spacetime, which remains problematic in quantum field theory, may yield to this approach, showing that General Relativity exists at the complex, rather than at the simple end of the spectrum, ie while QM is countable, GR exists at the highest level of uncountability. ie can we construct QM on the basis of 'wavefunctions' whose domain and range are natural (rational) numbers, ie complex operators based on x + iy where x and y are rational rather than real? The current argument fir the divinity of the universe is based on cardinal numbers (Hilbert). The quantum field theory version must be based on ordinal numbers. Here Hilbert space comes into play in its ordinal rather than its cardinal structure. We are in the dark again. Tuesday 29 January 2002A hopeless feeling arises when one sees how fluffy the professionals seem to be. One gets the feeling of drug fucked Californian dreaming where one would like to see a more definite program of human development for peace and prosperity. Particularly upsetting is the claim for the absolute truth of mysticism, which lies at the root of the religious claim to the lives of its followers, rather than recognition that all human mental systems are merely adaptations to the environment, into which we are born, and something that must change if the environment (society) is to change as parts must change to adapt to changing wholes (and vice versa). [page 35] Perhaps what upsets me most about Capra is the weakness with which the case for holism is made, without recognizing the importance of superposition and entanglement (perhaps justifiably since quantum information theory did not take off till Deutsch 1984). Deutsch. These matters are still ignored in the afterword to the fourth edition, which is less excusable. This is the clue which we must follow up, and perhaps look for the link to special and general relativity in entanglement. When I get home I must go back to the theory of functions and Hilbert spaces while edging forward into the darkness that surrounds me. The challenge is not to pick holes in Capra but to do better, which means a continual shuffling of my feelings for the whole in order to find the parts than consistently go together to create it. The simplest Hilbert space is the complex plane, and the constitution of the whole comprises a union of an infinity of examples of this plane. Wednesday 30 January 2002Thursday 31 January 2002Rights without power are meaningless. Cyberalms.org: will it work? The first step is to establish the facility for entropy increase, and then see if it increases. How does the cyberalms.org facility relate to Caratheodory's theorem? Friday 1 February 2002Saturday 2 February 2002 |
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