Branch Dynamics: A Theoretical Interpretation of Natural Phenomena

ABSTRACT

The mechanism of natural branching is explored, which is characterized by branch dynamics, where interior dynamics and exterior dynamics reveal the unified mechanism of physical and biological phenomena. While interior dynamics is characterized by gene-interaction, gene-interchange and gene-interpretation via the quaternion mathematical processes of Cayley-Dickson branching, Grassman branching and Euclidian branching, exterior dynamics is characterized by multi-vector physical unification. Everything in the world is linked by branches, and the dynamic mechanism of the branching phenomena is approached by branch dynamics.

Cite this paper

F. Ye, "Branch Dynamics: A Theoretical Interpretation of Natural Phenomena,"*International Journal of Modern Nonlinear Theory and Application*, Vol. 2 No. 1, 2013, pp. 74-77. doi: 10.4236/ijmnta.2013.21A009.

F. Ye, "Branch Dynamics: A Theoretical Interpretation of Natural Phenomena,"

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[2] J. C. Baez, “The Octonions,” 2004.

[3] D. Hestenes and G. Sobczyck, “Geometric Algebra to Geometric Calculus,” Reidel, Boston, 1984. doi:10.1007/978-94-009-6292-7

[4] C. J. L. Doran and A. N. Lasenby, “Geometric Algebra for Physicists,” Cambridge University Press, Cambridge, 2003. doi:10.1017/CBO9780511807497

[5] A. Lasenby, C. Doran and S. Gull, “Gravity, Gauge Theories and Geometric Algebra,” Philosophical Transactions of the Royal Society of London A, Vol. 356, No. 1737, 1998, pp. 487-582.

[6] A. Sudbery, “Quaternionic Analysis,” Mathematical Proceedings of the Cambridge Philosophical Society, Vol. 85, 1979, pp. 199-225. doi:10.1017/S0305004100055638

[7] C. A. Deavours, “The Quaternion Calculus,” The American Mathematical Monthly, Vol. 80, No. 9, 1973, pp. 995-1008. doi:10.2307/2318774

[8] K. Morita, “Quaternions, Lorentz Group and the Dirac Theory,” Progress of Theoretical Physics, Vol. 117, No. 3, 2007, pp. 501-532. doi:10.1143/PTP.117.501

[9] S. De Leo, “Quaternions for GUTs,” International Journal of Theoretical Physics, Vol. 35, No. 9, 1996, pp. 1821-1837. doi:10.1007/BF02302418

[10] S. L. Alder, “Quarternionic Quantum Field Theory,” Communications in Mathematical Physics, Vol. 104, No. 4, 1986, pp. 611-656. doi:10.1007/BF01211069

[11] F. Y. Ye, “A Clifford-Finslerian Physical Unification and Fractal Dynamics,” Chaos, Solitons and Fractals, Vol. 41, No. 5, 2009, pp. 2301-2305. doi:10.1016/j.chaos.2008.09.004

[12] A. Connes, “Noncommutative Geometry and Reality,” Journal of Mathematical Physics, Vol. 36, No. 11, 1995, pp. 6194-6231. doi:10.1063/1.531241