"Relativity in binary systems as root of quantum mechanics and space-time" (hep-th/0408116)
Chris Weed
interest in the main topic of this forum should read this paper:
"Inspired by Bohr's dictum that 'physical phenomena are observed
relative to different experimental setups', this article investigates
the notion of relativity in Bohr's sense, starting from a set of
binary elements. The most general form of information coding within
such sets requires a description by four-component states. By using
Bohr's dictum as a guideline a quantum mechanical description of the
set is obtained in the form of a SO(3,2) based spin network. For large
(macroscopic) sub-networks a flat-space approximation of
SO(3,2) leads to a Poincare symmetrical Hilbert space. The concept of
a position of four-component spinors relative to macroscopic
sub-networks then delivers the description of 'free' massive spin-1/2
particles with a Poincare symmetrical Hilbert space. Hence Minkowskian
space-time, equipped with spin-1/2 particles, is obtained as an
inherent property of a system of binary elements when individual
elements are described relative to macroscopic sub-systems."
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Also see this equally interesting companion paper:
http://www.arxiv.org/abs/hep-th/0403137