Mathematics – Probability
Scientific paper
Oct 1984
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984nciml..41..305h&link_type=abstract
Nuovo Cimento, Lettere, Serie 2, vol. 41, Oct. 27, 1984, p. 305-310. Research supported by the Southeastern Massachusetts Univer
Mathematics
Probability
2
Cosmology, Fuzzy Sets, Heisenberg Theory, Probability Theory, Quantum Mechanics, Quantum Theory, Coordinates, Momentum Theory, Particle Theory, Scaling Laws, Universe, Wave Functions
Scientific paper
The ultimate physical implications of the thorough and complete probability concept of quantum mechanics are investigated analytically. Thg requirement that all wave functions be normalizable and hence subject to elementary-probability interpretation is imposed, and a 'fuzzy' model of the universe is proposed by analogy to the fuzzy sets of Zadeh (1965). This model is characterized by fuzzy points and a finite extension, corresponding to limits on coordinate and momentum measurements of 10 to the -19th cm and 10 to the 10th light years, and implies evolution of the fundamental laws of physics as the cosmos expands.
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