IDEAS home Printed from https://ideas.repec.org/h/spr/sprchp/978-3-319-94015-1_13.html

Life in the Rindler Reference Frame: Does a Uniformly Accelerated Charge Radiate? Is There a Bell ‘Paradox’? Is Unruh Effect Real?

In: Advances in Mathematics and Applications

Author

Listed:
  • Waldyr A. Rodrigues Jr.

    (University of Campinas, Institute of Mathematics, Statistics and Scientific Computing)

  • Jayme Vaz Jr.

    (University of Campinas, Institute of Mathematics, Statistics and Scientific Computing)

Abstract

The determination of the electromagnetic field generated by a charge in hyperbolic motion is a classical problem for which the majority view is that the Liénard-Wiechert solution which implies that the charge radiates is the correct one. However we analyze in this paper a less known solution due to Turakulov that differs from the Liénard-Wiechert one and which according to him does not radiate. We prove his conclusion to be wrong. We analyze the implications of both solutions concerning the validity of the Equivalence Principle. We analyze also two other issues related to hyperbolic motion, the so-called Bell’s “paradox” which is as yet source of misunderstandings and the Unruh effect, which according to its standard derivation in the majority of the texts is a correct prediction of quantum field theory. We recall that the standard derivation of the Unruh effect does not resist any tentative of any rigorous mathematical investigation, in particular the one based in the algebraic approach to field theory which we also recall. These results make us to align with some researchers who also conclude that the Unruh effect does not exist.

Suggested Citation

  • Waldyr A. Rodrigues Jr. & Jayme Vaz Jr., 2018. "Life in the Rindler Reference Frame: Does a Uniformly Accelerated Charge Radiate? Is There a Bell ‘Paradox’? Is Unruh Effect Real?," Springer Books, in: Carlile Lavor & Francisco A. M. Gomes (ed.), Advances in Mathematics and Applications, pages 301-348, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-94015-1_13
    DOI: 10.1007/978-3-319-94015-1_13
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a
    for a similarly titled item that would be available.

    More about this item

    Statistics

    Access and download statistics

    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:spr:sprchp:978-3-319-94015-1_13. 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.

    We have no bibliographic references for this item. You can help adding them by using 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.