SciRePrints

Klein, Moshe and Shadmi, Doron (2008) ORGANIC MATHEMATICS. International Journal of Pure and Applied Mathematics, 49 (3). pp. 329-340. ISSN 1311-8080

[img]
Preview
PDF
138Kb

Abstract

David Hilbert, after introducing 23 Open Problems [7], finished his lecture at the ICM 1900 in Paris by explaining how Mathematics is an ”Organism” which needs to maintain the connection between its branches and keep them united in order to stay ”vital”. Unfortunately, he predicted that Mathematics might indeed break apart. This is already starting to happen. We offer a representation of this ”Unity Problem” of Mathematics, as stated by David Hilbert. According to our understanding, the solution for this problematic situation is connected to the 6-th Problem Hilbert suggested during that same lecture - involving the relationship between Mathematics and Physics.We shall test the Non-locality Principle in nature in light of the experiment that Alain Aspect conducted (in 1982) [1] as an answer to the EPR Thought Experiment [6]. We believe that establishing a new Mathematical language will possibly unite locality and non-locality General Relativity Theory [5] and Quantum Mechanics.

Item Type:Article
Uncontrolled Keywords:mathematics and physics, Klein bottle, locality, non-locality, education
Subjects:Q Science > QC Physics > QC00 Physics (General)
Q Science > QA Mathematics (General)
Q Science > QC Physics > QC01 Quantum mechanics
Divisions:University of Latvia > SR Science and Religion Dialogue. Interdisciplinary Group
References:
[1] Alain Aspect, Experimental tests of realistic local theories via Bell’s theorem, Phys. Rev. Lett., 47 (1981), 460.

[2] J.S. Bell, On the Einstein-Podolsky-Rosen paradox, Physics, 1, No. 195 (1964).

[3] David Bohm, A suggested interpretation of the quantum theory in terms of “hidden variables”, Physical Review, 85 (1952), 166-179.

[4] Albert Einstein, On the electrodynamics of moving bodies, Annalen der Physik, 17, No. 891 (June 30, 1905); English translation by W. Perrett, G.B. Jeffery.

[5] Albert Einstein, Die Feldgleichungen der Gravitation (The Field Equa- tions of Gravitation), Koniglich Preussische Akademie der Wissenschaften (1915), 844-847.

[6] Einstein, Podolsky, Rosen, Can quantum-mechanical description of physical reality be considered complete?, Phys. Rev., 47 (1935), 777-780.

[7] David Hilbert, The Foundations of Geometry, Second Edition. Chicago, Open Court (1899).

[8] David Hilbert, Mathematical problems, Bulletin of The American Mathe-matical Society, 37, No. 4, 407-436.

ID Code:121
Deposited By:Mr Doron Shadmi
Deposited On:02 Sep 2010 20:05
Last Modified:20 Sep 2010 11:21

Repository Staff Only: item control page