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We propose a unified description of the known forces. We formulate a quantum relativistic spacetime as a (directed) graph of causal arrows with indefinite Hilbert metric, whose physical meaning is given. The simplest graph whose quantum relativity supports conservation of energy-momentum also supports a semidirect product of the cyclic groups2 and3 and the four-group2 2. We call these lattice degrees of freedom (permutational) twain, trine, and spin. Quantized2 2 becomes LorentzSpin(4). Gauged, the energy-momentum and spin groups lead to gravity and torsion, and twain and trine lead toSU 2 andSU 3. We infer that color is actually trine, and thez component of isospin is twain.
- Finkelstein, D. (1968). Matter, space and logic, inBoston Studies in the Philosophy of Science, Vol. 5, R. S. Cohen and M. W. Wartofsky, eds., pp. 199–215.
- Finkelstein, D. (1972). Space-time code III,Physical Review D,5, 2922.
- Finkelstein, D. (1988). ‘Superconducting’ causal nets,International Journal of Theoretical Physics,27, 473.
- Finkelstein, D. (1994).Quantum Relativity, Springer-Verlag, Berlin.
- Golomb, S. W. (1982).American Scientist,70, 257–259.
- Rubik, E., Varga, T., Keri, G., Marx, G., and Vekerdy, T. (1987).Rubik's Cubic Compendium, Oxford University Press, Oxford.
- Sudarshan, E. C. G. (1990). The quantum envelope of a classical system, inFrom Symmetries to Strings: Forty Years of Rochester Conferences. A Symposium to Honor Susumu Okubo in his 60th Year, Rochester, New York, May 4–5, 1990.
- Quantum relativity
International Journal of Theoretical Physics
Volume 32, Issue 10 , pp 1801-1813
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