Newtonian and special-relativistic probability densities for a low-speed system

Shiuan Ni Liang, Boon Leong Lan

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    Abstract

    The Newtonian and special-relativistic predictions for the position and momentum probability densities of a model low-speed (i.e., much less than the speed light) dynamical system are compared. The Newtonian and special-relativistic probability densities, which are initially the same Gaussian, are calculated using an ensemble of trajectories. Contrary to expectation, we show that the predictions of the two theories can rapidly disagree completely. This surprising result raises an important fundamental question: Which prediction is empirically correct?.

    Original languageEnglish
    Title of host publication5th International Conference on Chaotic Modeling and Simulation, CHAOS 2012
    Pages295-300
    Number of pages6
    Publication statusPublished - 2012
    EventInternational Conference on Chaotic Modeling, Simulation and Applications (CHAOS) 2012 - Athens, Greece
    Duration: 12 Jun 201215 Jun 2012
    Conference number: 5th
    http://www.cmsim.org/chaos2012proceedings.html

    Conference

    ConferenceInternational Conference on Chaotic Modeling, Simulation and Applications (CHAOS) 2012
    Abbreviated titleCHAOS 2012
    CountryGreece
    CityAthens
    Period12/06/1215/06/12
    Internet address

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