Matti Pitkanen (matpitka@pcu.helsinki.fi)
Fri, 13 Aug 1999 13:34:16 +0300 (EET DST)
Hi all,
reading of Pratt's paper stimulated to ponder again old idea.
Theory of physics and cs should allow its own discovery.
This somehow corresponds to the idea that mental-->physical causation and
its inverse imply physical and mental laws.
The notion of self gives some hopes of this. There is infinite
hierarchy of selves. The subjective memories (=short term memories)
of selves in hierarchy have increasingly longer temporal durations.
Already our short term memories contain something like 10^40 quantum
jumps.
And at the top there is entire Universe, God, who subjectively remembers
everything about the infinitely many quantum jumps
already occurred and whose contents of consciousness is determined by
infinite series of abstractions provided by infinite number
of subselves providing symbolic representations for what is
there. Abstraction is wonderful thing: the sins of average
self are abstracted and averaged for so many times that God probably
cannot decide who did it. Selves at various levels can occasionally get
enlightened by entanglement, which perhaps makes possible communication
between various levels of the hierarchy.
The universe should be able to discover quantum
jump since the simulations provided by geometric time development
are not reliable. Expectations provided by geometric memory are
not identical with reality coded by subjective memory. Besides this
other selves behaving in unpredictable manner and having totally
different belief systems, are a continual nuisance for all
selves except God. Selves feel sad and disappointed but sooner or later
some self abstracts the notion of quantum jump (between quantum
histories).
Abstraction process involves estimation of frequencies for
quantum jumps made possible by long temporal series of quantum
jumps stored in subjective memory: pinary cutoff is crucial
in making this process possible since states sufficiently close to
each other are identified and statistics becomes possible. From
this it is not long route to unitary S-matrix. If self can
compare its subselves and quantum jumps in the subjective
memory, it sooner or later discovers the notion symmetries: certain
quantum jumps occur with same probabilities.
If some self somewhere manages to discover the Platonic Realm of
Ideas and that Infinite-Dimensional Consistency Implies Existence, the
Royal Road to Infinite-Dimensional Kahler Metric with
Infinite-Dimensional Spinor Structure uniquely determined by
Infinite-Dimensional Isometry Group is wide open(;-)!
Best,
MP
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