IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v609y2023ics0378437122008925.html
   My bibliography  Save this article

A note on the mechanics emerged from systems with a stochastic process of the time variable

Author

Listed:
  • Shushi, Tomer

Abstract

Stochastic mechanics is an attempt to build a well-defined probabilistic formulation of quantum theory. This formulation proposes a deeper origin for the (non-relativistic) Schrödinger equation using a hypothesis that a massive particle with mass m is influenced by a Brownian motion having a diffusion coefficient of ħ/2m and no friction. However, the hypothetical ether (as suggested by Nelson) that causes such a Brownian motion remains uncleared. While most of the literature on stochastic mechanics follows the original interpretation given by Nelson, we present an alternative interpretation of stochastic mechanics, where the stochasticity of time, and not space, is responsible for the emergence of the quantum particle. In particular, we show that stochastic mechanics (in one dimension) can be deduced by assuming that time is a stochastic process of a universal absolute time. This replaces the proposed ether with a new notion of time for particles in the quantum regime.

Suggested Citation

  • Shushi, Tomer, 2023. "A note on the mechanics emerged from systems with a stochastic process of the time variable," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 609(C).
    • Handle: RePEc:eee:phsmap:v:609:y:2023:i:c:s0378437122008925
    DOI: 10.1016/j.physa.2022.128334
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437122008925
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
    File URL: https://libkey.io/10.1016/j.physa.2022.128334?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. E. A. Burt & J. D. Prestage & R. L. Tjoelker & D. G. Enzer & D. Kuang & D. W. Murphy & D. E. Robison & J. M. Seubert & R. T. Wang & T. A. Ely, 2021. "Demonstration of a trapped-ion atomic clock in space," Nature, Nature, vol. 595(7865), pages 43-47, July.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Joonhyuk Kwon & William J. Setzer & Michael Gehl & Nicholas Karl & Jay Van Der Wall & Ryan Law & Matthew G. Blain & Daniel Stick & Hayden J. McGuinness, 2024. "Multi-site integrated optical addressing of trapped ions," Nature Communications, Nature, vol. 15(1), pages 1-9, December.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:phsmap:v:609:y:2023:i:c:s0378437122008925. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.