The Geometrical Theory of Science

Affiliation(s)

Department of Physics and Mathematics, Federal University of Technology, Owerri, Nigeria.

Department of Physics and Mathematics, Federal University of Technology, Owerri, Nigeria.

ABSTRACT

Classical mechanics and quantum mechanics are the two cornerstones of science. As is well known, classical mechanics, the theory that describes the macrophysical world, has grown and flowered both in experimentation and theorization. The same is not true of quantum mechanics, the theory that describes the microphysical world. While experimentation has shown giant strides, theorization has been essentially static, having not moved appreciably beyond the great achievements of the 1920s. The reason is not difficult to fathom: while theoretical progress in classical mechanics has been intellect-driven, that in quantum mechanics, on the other hand, has been machine-driven! In this paper we describe both classical and quantum systems in an absolute and a common language (geometry). Indeed, we construct the whole of science on the basis of just three numbers, namely, 1, 2, and 3.

Classical mechanics and quantum mechanics are the two cornerstones of science. As is well known, classical mechanics, the theory that describes the macrophysical world, has grown and flowered both in experimentation and theorization. The same is not true of quantum mechanics, the theory that describes the microphysical world. While experimentation has shown giant strides, theorization has been essentially static, having not moved appreciably beyond the great achievements of the 1920s. The reason is not difficult to fathom: while theoretical progress in classical mechanics has been intellect-driven, that in quantum mechanics, on the other hand, has been machine-driven! In this paper we describe both classical and quantum systems in an absolute and a common language (geometry). Indeed, we construct the whole of science on the basis of just three numbers, namely, 1, 2, and 3.

Cite this paper

A. Nduka, "The Geometrical Theory of Science,"*Applied Mathematics*, Vol. 3 No. 11, 2012, pp. 1598-1600. doi: 10.4236/am.2012.311220.

A. Nduka, "The Geometrical Theory of Science,"

References

[1] H. Goldstein, “Classical Mechanics,” Addison-Wesley Publishing Company, Inc., Boston, 1959.

[2] K. R. Symon, “Mechanics,” 2nd Edition. Addison-Wesley Publishing Company, Inc., Reading, 1964.

[3] J. D. Jackson, “Classical Electrodynamics,” 3rd Edition, John Wiley and Sons, Ltd., Chichester, 1998.

[4] L. D. Landau and E. M. Lifshitz, “The Classical Theory of Fields,” 3rd Edition, Pergamon Press, Oxford, 1971.

[5] V. B. Berestetskii, E. M. Lifshitz and L.P. Pithaevskii, “Relativistic Quantum Theory,” Pergamon Press, Oxford, 1971.

[1] H. Goldstein, “Classical Mechanics,” Addison-Wesley Publishing Company, Inc., Boston, 1959.

[2] K. R. Symon, “Mechanics,” 2nd Edition. Addison-Wesley Publishing Company, Inc., Reading, 1964.

[3] J. D. Jackson, “Classical Electrodynamics,” 3rd Edition, John Wiley and Sons, Ltd., Chichester, 1998.

[4] L. D. Landau and E. M. Lifshitz, “The Classical Theory of Fields,” 3rd Edition, Pergamon Press, Oxford, 1971.

[5] V. B. Berestetskii, E. M. Lifshitz and L.P. Pithaevskii, “Relativistic Quantum Theory,” Pergamon Press, Oxford, 1971.