Research Article of International Journal of Natural Science and Reviews
A Vortex Formulation of Quantum Physics Setting Discrete Quantum States into Continuous Space-time
Fred Y. Ye 1, 2*
1 School of Information Management, Nanjing University, Nanjing 210023, CHINA
2 International Joint Informatics Laboratory (IJIL), UI-NU, Champaign-Nanjing
Any quantum state can be described by a vortex, which is mathematically a multi-vector and physically a united-measure. When the vortex formulation of quantum physics is introduced, Hamilton principle keeps its core position in physical analysis. While the global characteristics are described by Lagranrian function for dynamics and double complex core function for stable states, Schrödinger equation and gauge symmetries reveal local characteristics. The vortex-based physics provides a new unified understanding of wave-particle duality and uncertainty, quantum entanglement and teleportation, as well as quantum information and computation, with setting discrete quantum states into continuous space-time for keeping concordance of methodology in processing micro-particle and macro-galaxy. Two fundamental experiments are suggested to correct and verify the physical formulation.
Keywords: Vortex; vortex formulation; quantum mechanism; quantum state; quantum physics; space-time
How to cite this article:
Fred Y. Ye. A Vortex Formulation of Quantum Physics Setting Discrete Quantum States into Continuous Space-time. International Journal of Natural Science and Reviews, 2017; 1:4.
1. Styer, D. F.; Balkin, M. S.; Becker, K. M. et al., Nine formulations of quantum mechanics. American Journal of Physics, 70 (3), 288-297 (2002)
2. Schrödinger, E. Probability relations between separated systems. Mathematical Proceedings of the Cambridge Philosophical Society, 32 (3), 446–452 (1936)
3. Dirac, P.A.M. The Principles of Quantum Mechanics (4th ed.), Oxford: Oxford University Press (1958)
4. Feynman, R. P. & Hibbs, A. R. Quantum Mechanics and Path Integrals. New York: McGraw-Hill (1965)
5. Hestenes, D. Spacetime physics with geometric algebra. American Journal of Physics, 71, 691-714 (2003)
6. Doran, C. J. L. & Lasenby, A. N. Geometric Algebra for Physicists. Cambridge University Press (2003)
7. Ye, F. Y. The Linked-measure and linked-field for linking micro-particles to macro-cosmos with dispelling dark matter and dark energy. Physical Journal, 1, 89-96 (2015)
8. Ye, F.Y. The physical linked-measure works as vortex with linking to turbulence. Physical Journal, 1, 209-215 (2015)
9. Ye, F.Y. A vortex mechanism linking micro-particle to macro-galaxy without supersymmetry. in Fred Y. Ye. Scientific Metrics: towards analytical and quantitative sciences. Springer & Science Press, 57-72 (2017)
10. Penrose, R. The Road to Reality: a complete guide to the laws of the universe. London: Jonathan Cape (2004)
11. Patrignani, C. et al. (Particle Data Group). Review of Particle Physics. Chinese Physics C, 40, 100001 (2016)
12. Einstein, A.; Podolsky, B. & Rosen, N. Can quantum-mechanical description of physical reality be considered complete? Physical Review, 47 (10), 777–780 (1935).
13. Bennett, C.H. et al. Teleporting an unknown quantum state via dual classical Einstein–Podolsky–Rosen channels. Physical Review Letters, 70, 1895–1899 (1993)
14. Bennett, C.H. & Di Vincenzo, D.P. Quantum information and computation. Nature, 404, 247 (2000)
15. Bennett, C.H. & Shor, P. W. Quantum information theory. IEEE Transactions on Information Theory, 44, 2724-2742 (1998)
16. Zhong, Z-Z. Generation of new solutions of the stationary axisymmetric Einstein equations by a double complex function method. Journal of Mathematical Physics, 26(10): 2589-2595 (1985).
17. Shannon, C.E. (1948). A mathematical theory of communication. The Bell System Technical Journal, 27(3-4): 379-423, 623-656
18.Shor, P.W. Equivalence of additivity questions on quantum information theory. Communications in Mathematical Physics, 246, 4334-4340 (2004)
19. Dominici, L. et al. Vortex and half-vortex dynamics in a nonlinear spinor quantum fluid. Science Advances, 1(11), e1500807 (2015)
20. Kwiat, P. G. et al. New high-intensity source of polarization-entangled photon pairs. Physical Review Letters, 75, 4337–4341 (1995)
21. Zhao, Z. et al. Experimental demonstration of five-photon entanglement and open-destination teleportation. Nature, 430, 54–58 (2004)
22. Lu, C.-Y. et al. Experimental entanglement of six photons in graph states. Nature Physics, 3, 91–95 (2007)
23. Yao, X.-C. et al. Observation of eight-photon entanglement. Nature Photonics, 6, 225–228 (2012)
24. Yin, J. et al. Satellite-based entanglement distribution over 1200 kilometers. Science, 356, 1140–1144 (2017)
25. Zhang, Y. D. Principles of Quantum Information Physics (Chinese). Beijing: Science Press (2006).
26. Zhang, J. et al. Observation of a discrete time crystal. Nature, 543, 217–220 (2017).
27. Laudauer, R. Information is physical. Physics Today, 44, 5-23 (1991).
28. Ye, F. Y. Measuring knowledge: a quantitative approach to knowledge theory. International Journal of Data Science and Analysis, 2(2), 32-35 (2016).