Skip to main content
Log in

A Logical Approach to Entanglement

  • Published:
International Journal of Theoretical Physics Aims and scope Submit manuscript

Abstract

In this paper we innovate a logical approach to develop an intuition regarding the phenomenon of quantum entanglement. In the vein of the logic introduced we substantiate that particles that were entangled in the past will be entangled in perpetuity and thereby abide a rule that restricts them to act otherwise. We also introduce a game and by virtue of the concept of Nash equilibrium we have been able to show that entangled particles will mutually correspond to an experiment that is performed on any one of the particle.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Einstein, A., Podolsky, B., Rosen, N.: Can Quantum-Mechanical description of physical reality be considered complete?. Phys. Rev. 47(10), 777–780 (1935)

    Article  ADS  MATH  Google Scholar 

  2. Arulsamy, A.D.: Einstein-podolsky-rosen paradox, non-commuting operator, complete wavefunction and entanglement. Pramana-J. Phys. 82(3), 477–488 (2014)

    Article  ADS  Google Scholar 

  3. Bohr, N.: Phys. Rev. 48, 696 (1935)

    Article  ADS  Google Scholar 

  4. Bohm, D.: Phys. Rev. 85, 180 (1952)

    Article  ADS  Google Scholar 

  5. Schrodinger, E., Born, M.: Discussion of probability relations between separated systems. Math. Proc. Camb. Philos. Soc. 31(4), 555–563 (1935)

    Article  ADS  MATH  Google Scholar 

  6. Schrodinger, E., Dirac, P.A.M.: Probability relations between separated systems. Math. Proc. Camb. Philos. Soc. 32(3), 446–452 (1936)

    Article  ADS  MATH  Google Scholar 

  7. Arndt, M., Nairz, O., Vos-Andreae, J., Keller, C., van der Zouw, G., Zeilinger, A.: Waveparticle duality of c60 molecules. Nature 14 (1999)

  8. Nairz, O., Arndt, M., Zeilinger, A.: Quantum interference experiments with large molecules. Am. J. Phys. 71, 319–325 (2003)

    Article  ADS  Google Scholar 

  9. Lee, K.C., Sprague, M.R., Sussman, B.J., Nunn, J., Langford, N.K., Jin, X.M., Champion, T., Michelberger, P., Reim, K.F., England, D., Jaksch, D., Walmsley, I.A.: Entangling macroscopic diamonds at room temperature. Science 334(6060), 12531256 (2011)

    Article  Google Scholar 

  10. Corda, C.: Time dependent Schrodinger equation for black hole evaporation: No information loss. Ann. Phys. 353, 71 (2015)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  11. Milnor, J.: Analytic proofs of the ”hairy ball theorem” and the Brouwer fixed-point theorem. Amer. Math. Monthly 85(7), 521–524 (1978). MR MR505523 (80m:55001)

    Article  MathSciNet  MATH  Google Scholar 

  12. Penrose, R.: Combinatorial mathematics and its applications. Academic Press (1971)

  13. Snyder, H.S.: Phys. Rev. 72, 68–71 (1947)

    Article  ADS  Google Scholar 

  14. Snyder, H.S. Phys. Rev. 71, 38–41 (1947)

    Article  ADS  Google Scholar 

  15. Sidharth, B.G.: The Thermodynamic Universe. World Scientific, Singapore (2008)

    Book  MATH  Google Scholar 

  16. Sidharth, B.G.: The universe of fluctuations, the architechture of space-time and the universe. Springer, Dordrecht (2005)

    Book  Google Scholar 

  17. Glinka, L.A.: ÆTHEREAL MULTIVERSE, arXiv:1102.5002v2 [physics.gen-ph] (2011)

  18. Nash, J.: Non-cooperative games. Ann. Math. Second Ser. 54(2), 286–295 (1951)

    Article  MathSciNet  MATH  Google Scholar 

Download references

Acknowledgments

The author is expressly indebted to Dr. B.G. Sidharth (B.M. Birla Science Centre, Hyderabad, India, email - birlasc@gmail.com) for his suggestions and useful comments.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Abhishek Das.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Das, A. A Logical Approach to Entanglement. Int J Theor Phys 55, 4286–4291 (2016). https://doi.org/10.1007/s10773-016-3053-4

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10773-016-3053-4

Keywords

Navigation