153
Views
16
CrossRef citations to date
0
Altmetric
Articles

The double-slit experiment with Physarum polycephalum and p-adic valued probabilities and fuzziness

&
Pages 392-408 | Received 11 Oct 2014, Accepted 27 Nov 2014, Published online: 27 Jan 2015

References

  • Aczel, P. 1988. Non-Well-Founded Sets, Stanford: Stanford University Press.
  • Adamatzky, A. 2009. “Developing Proximity Graphs by Physarum Polycephalum: Does the Plasmodium Follow the Toussaint Hierarcy?” Parallel Processing Letters 19 (105): 105–128.
  • Adamatzky, A. 2010. Physarum Machines: Computers from Slime Mould (World Scientific Series on Nonlinear Science. Series A). Singapore: World Scientific Publishing.
  • Baaz, M., Ch. Fermüller, and R. Zach. “Systematic Construction of Natural Deduction Systems for Many-valued Logics.” In 23rd International Symposium on Multiple Valued Logic. Sacramento, CA. May 1993. Proceedings, 208-213. Los Alamitos: IEEE Press.
  • Bartell, L. S. 1980. “Complementarity in the Double-slit Experiment: On Simple Realizable Systems for Observing Intermediate Particle-wave Behaviour.” Physical Review D 21 (6): 1698–1699.
  • Greenberger, D., and A. Yasin. 1988. “Simultaneous Wave and Particle Knowledge in a Neutron Interferometer.” Physics Letters A 128: 391–394.
  • Khrennikov, A. 1991. “p-Adic Quantum Mechanics with p-adic Valued Functions.” Journal of Mathematical Physics 32 (4): 932–937.
  • Khrennikov, A. 1997. Non-Archimedean Analysis: Quantum Paradoxes, Dynamical Systems and Biological Models. Dordrecht: Springer-Verlag.
  • Khrennikov, A., and A. Schumann. 2006. “Logical Approach to p-Adic Probabilities.” Bulletin of the Section of Logic 35 (1): 49–57.
  • Khrennikov, A., and A. Schumann. 2009a. “p-Adic Physics, Non-well-Founded Reality and Unconventional Computing.” p-Adic Numbers, Ultrametric Analysis, and Applications 1 (4): 297–306.
  • Koblitz, N. 1984. p-Adic Numbers, p-Adic Analysis and Zeta Functions. 2nd ed. Dordrecht: Springer-Verlag.
  • Möllenstedt, G., and C. Jönsson. 1959. “Elektronen-Mehrfachinterferenzen an Regelmaessig Hergestellten Feinspalten.” Zeitschrift Fuer Physik A 155 (4): 472–474.
  • Nakagaki, T., H. Yamada, and A. Toth. 2000. “Maze-solving by an Amoeboid Organism.” Nature 407: 470–470.
  • Nakagaki, T., H. Yamada, and A. Toth. 2001. “Path Finding by Tube Morphogenesis in an Amoeboid Organism.” Biophysical Chemistry 92: 47–52.
  • Nakagaki, T., M. Iima, T. Ueda, Y. Nishiura, T. Saigusa, A. Tero, R. Kobayashi, and K. Showalter. 2007. “Minimum-risk Path Finding by an Adaptive Amoeba Network.” Physical Review Letters 99: 68–104.
  • Ozasa, K., M. Aono, M. Maeda, and M. Hara. 2010. “Simulation of Neurocomputing Based on the Photophobic Reactions of Euglena with Optical Feedback Stimulation.” BioSystems 100 (2): 101–107.
  • Rauch, H., and H. Kurz. 1969. “Beugung Thermischer Neutronen an Einem Strichgitter.” Zeitschrift Fuer Physik A 220 (5): 419–426.
  • Shirakawa, T., Y.-P. Gunji, and Y. Miyake. 2011. “An Associative Learning Experiment Using the Plasmodium of Physarum Polycephalum.” Nano Communication Networks 2: 99–105.
  • Schumann, A. 2008a. “Non-Archimedean Fuzzy and Probability Logic.” Journal of Applied Non-classical Logics 18 (1): 29–48.
  • Schumann, A. 2008b. “Non-well-Founded Probabilities on Streams.” In Soft Methods for Handling Variability and Imprecision, Advances in Soft Computing, edited by D. Dubois, Vol. 48. 59–65. Dordrecht: Springer-Verlag.
  • Schumann, A., and A. Adamatzky. 2011. “Physarum Spatial Logic.” New Mathematics and Natural Computation 7 (3): 483–498.
  • Schumann, A., and L. Akimova. 2013. “Simulating of Schistosomatidae (Trematoda: Digenea) Behavior by Physarum Spatial Logic.” In Annals of Computer Science and Information Systems. Proceedings of the 2013 Federated Conference on Computer Science and Information Systems, Vol. 1. 225–230. Krakow: IEEE Xplore.
  • Schumann, A., and K. Pancerz. 2013. “Towards an Object-oriented Programming Language for Physarum Polycephalum Computing.” In Proceedings of the Workshop on Concurrency, Specification and Programming (CS &P’2013), edited by M. Szczuka, L. Czaja, and M. Kacprzak, 389–397. Warsaw.
  • Shull, C. G. 1969. “Single-slit Difraction of Neutrons.” Physical Review 179 (3): 752–754.
  • Sun, T, S. Tsuda, K. P. Zauner, and H. Morgan. 2009. “Single Cell Imaging Using Electrical Impedance Tomography.” In NEMS ’09: Proceedings of the 2009 4th IEEE International Conference, on Nano/Micro Engineered and Molecular Systems, 858–863. Beijing.
  • Tsuda, S., M. Aono, and Y. P. Gunji. 2004. “Robust and Emergent Physarum-computing.” BioSystems 73: 45–55.
  • Tsuda, S., J. Jones, A. Adamatzky, and J. Mills. 2011. “Routing Physarum with Electrical Flow/Current.” International Journal of Nanotechnology and Molecular Computation 3 (2): 56–70.
  • Vladimirov, V. S., and I. V. Volovich. 1989. “p-Adic Quantum Mechanics.” Communications in Mathematical Physics 123: 659–676.
  • Volovich, I. V. 1987. “Number Theory as the Ultimate Theory.” CERN preprint CERN-TH.4791/87.
  • Zadeh, L. 1965. “Fuzzy Sets.” Information and Control 8: 338–353.
  • Zeilinger, A., R. Gähler, C. G. Shull, W. Treimer, and W. Mampe. 1988. “Single- and Double-slit Difraction of Neutrons.” Reviews of Modern Physics 60: 1067–1073.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.