13  Dual Slit Revisited with λ-hopping                             Table of Contents     Previous    Next



The Probability of Probability





  1. 1.Getting to a more detailed picture of λ-hopping.
    Click on the picture above to see how standard quantum mechanics uses uncertainty and the Schrodinger wave equation to determine wave amplitudes and probabilities. Feynman used a sum over histories technique where every path the electron takes makes a contribution to a spot on the detector. This way of looking at the system tends to validate the probability interpretation of quantum mechanics. There is another way of using sum over history without the need for uncertainty.

    First notice that in the above diagram the electrons are diverging. This is a consequence of            1. repelling force of electrons and 2. the source inconsistency in producing electrons. To simplify the experiment let us use a single electron beam, meaning fire an electron and after a precise delay fire another electron. Each electron in this new beam is aimed precisely between the two slits. Will this new precisely aimed beam produce an interference pattern? The answer to this question depends upon one more variable, the λ-hop of each electron.

    If the λ-hops are not controlled and the electron’s last λ-hop before the screen is at different distances and speeds then an interference pattern will be produced at the detector. On the other hand if the λ-hops are precisely controlled each electron in the single file beam will arrive before the screen at the same distance and at the same velocity. In this instance no interference pattern will be produced and all the individual electrons will hit the detector at the same position. This position can be calculated via Feynman’s sum over histories technique. Note that no probabilities are involved. DWT believes Feynman’s technique works with or without the concept of uncertainty.  And an experiment can be performed. Controlling an electron could be difficult but using an uncharged massive particle like a Buckyball could make an experiment easier.

  2. 2.Virtual Photons: From Britannica Website:QED rests on the idea that charged particles (e.g., electrons and positrons) interact by emitting and absorbing photons, the particles that transmit electromagnetic forces. These photons are “virtual”; that is, they cannot be seen or detected in any way because their existence violates the conservation of energy and momentum.” This definition is very close to the concept of λ-hopping.  And there is no violation of conservation of energy and momentum, if you do your accounting over a complete wavelength with an emission and an absorption.

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