Saturday, December 28, 2013

Completeness of probability measure and abstract 3-body problem (memorandum)

NOTICE
  • DO NOT TRUST THE FOLLOWING
multi-body system and probability
  • what is probabilistic system?
  • deriving virtual one-body approximation of multi-body system with probability
  • or collapsing into one wave function
  • complete measure turns many-body into one-body "falling" into incomparably large "ground"
  • Lagrangian of the system make definite description for virtual one-body
future and incomplete probability measure
  • sum of contributions from possible Feynman diagrams (no a priori completeness assured)
  • estimating contributions from indistinguishable states as zero
  • ignoring experimentally unobserved states
  • completeness of cases might change over history and environment
  • (added) e.g. solar neutrino density and probabilities of beta-decay or other phenomena involving weak forth
  • expectation or Knightian uncertainty (tail risk that should be hedged only with longer-than-the-longest bond)
  • abstract 3-body problem or game with indefinite sum
gravity or entropic force
  • uncertain quantum entropy, indefinite radius of the universe
  • Baysian gravity?
  • is gravitational constant really constant?
TODO
  • understand path integral, S-matrix and Wheeler-DeWitt theory
  • relate them with gravity model of trade and transportation

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