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Stability Analysis of the two-slit experiment with quantum particles

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  • El Naschie, M.S.

Abstract

Using Lagrange–Poincare stability analysis and some catastrophe theory classification of singularities, we analyze the two-slit experiments of quantum physics. It is shown that assuming micro-spacetime to be a Fuzzy Kähler-like manifold K(ε(∞)) with an inbuilt wave–particle duality, one of the two slits is always unstable. Consequently, the faintest interference with the experiment is sufficient to break the symmetry of “equilibrium” and leads to what is perceived on the other side of the quantum-classical interface as a wave collapse.

Suggested Citation

  • El Naschie, M.S., 2005. "Stability Analysis of the two-slit experiment with quantum particles," Chaos, Solitons & Fractals, Elsevier, vol. 26(2), pages 291-294.
    • Handle: RePEc:eee:chsofr:v:26:y:2005:i:2:p:291-294
    DOI: 10.1016/j.chaos.2005.03.003
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    References listed on IDEAS

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    1. El Naschie, M.S., 2005. "The two-slit experiment as the foundation of E-infinity of high energy physics," Chaos, Solitons & Fractals, Elsevier, vol. 25(3), pages 509-514.
    2. El Naschie, M.S., 2005. "A guide to the mathematics of E-infinity Cantorian spacetime theory," Chaos, Solitons & Fractals, Elsevier, vol. 25(5), pages 955-964.
    3. El Naschie, M.S., 2005. "A tale of two Kleins unified in strings and E-infinity theory," Chaos, Solitons & Fractals, Elsevier, vol. 26(1), pages 247-254.
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    Cited by:

    1. Falcón, Sergio & Plaza, Ángel, 2007. "On the Fibonacci k-numbers," Chaos, Solitons & Fractals, Elsevier, vol. 32(5), pages 1615-1624.
    2. Marek-Crnjac, L., 2006. "The golden mean in the topology of four-manifolds, in conformal field theory, in the mathematical probability theory and in Cantorian space-time," Chaos, Solitons & Fractals, Elsevier, vol. 28(5), pages 1113-1118.
    3. Falcón, Sergio & Plaza, Ángel, 2008. "The k-Fibonacci hyperbolic functions," Chaos, Solitons & Fractals, Elsevier, vol. 38(2), pages 409-420.
    4. Falcon, Sergio & Plaza, Ángel, 2009. "k-Fibonacci sequences modulo m," Chaos, Solitons & Fractals, Elsevier, vol. 41(1), pages 497-504.
    5. Falcón, Sergio & Plaza, Ángel, 2009. "The metallic ratios as limits of complex valued transformations," Chaos, Solitons & Fractals, Elsevier, vol. 41(1), pages 1-13.
    6. El Naschie, Mohamed Saladin, 2006. "The idealized quantum two-slit gedanken experiment revisited—Criticism and reinterpretation," Chaos, Solitons & Fractals, Elsevier, vol. 27(4), pages 843-849.
    7. Akbulak, Mehmet & Bozkurt, Durmuş, 2009. "On the order-m generalized Fibonacci k-numbers," Chaos, Solitons & Fractals, Elsevier, vol. 42(3), pages 1347-1355.
    8. Falcón, Sergio & Plaza, Ángel, 2007. "The k-Fibonacci sequence and the Pascal 2-triangle," Chaos, Solitons & Fractals, Elsevier, vol. 33(1), pages 38-49.
    9. Falcón, Sergio & Plaza, Ángel, 2008. "On the 3-dimensional k-Fibonacci spirals," Chaos, Solitons & Fractals, Elsevier, vol. 38(4), pages 993-1003.
    10. Gottlieb, I. & Agop, M. & Ciobanu, Gabriela & Stroe, Aurelia, 2006. "El Naschie’s ε(∞) space–time and new results in scale relativity theories," Chaos, Solitons & Fractals, Elsevier, vol. 30(2), pages 380-398.

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