Schrodinger equation in gravitational field

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Discussion Overview

The discussion revolves around the application of the Schrödinger equation in a gravitational field, particularly in relation to the principle of equivalence and the implications for quantum gravity. Participants explore theoretical aspects, references to specific articles, and the relationship between quantum mechanics and general relativity.

Discussion Character

  • Exploratory, Debate/contested, Conceptual clarification

Main Points Raised

  • One participant references an article that describes the Schrödinger equation in a gravitational field and mentions a contradiction with the principle of equivalence.
  • Another participant requests clarification on the source of the article mentioned, noting the lack of author or journal reference.
  • A different participant suggests that the article may be authored by Kiefer.
  • One participant argues that gravity does not present anything "special" when included in the potential term of the Schrödinger equation, asserting that quantum effects of gravity have been observed.
  • Another participant expresses understanding that the discussion is not about quantum gravity but highlights a specific Schrödinger equation formulation involving a homogeneous gravitational field that raises questions about the equivalence principle.
  • This participant emphasizes their interest in the disagreements between quantum theory and general relativity rather than seeking solutions.

Areas of Agreement / Disagreement

Participants express differing views on the implications of the Schrödinger equation in a gravitational context, particularly regarding its compatibility with the principle of equivalence. The discussion remains unresolved, with multiple competing perspectives presented.

Contextual Notes

Participants reference specific articles and concepts without fully resolving the assumptions or definitions involved, particularly concerning the application of the Schrödinger equation in gravitational fields.

exponent137
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I read article http://www.oup.co.uk/pdf/0-19-850687-2.pdf
There is described Schrödinger equation in gravitational field (1.10) and COW experiment.
But once I found article, where it is shown that this Schrödinger equation is in direct contradiction with principle of equivalence.
Can someone know this article or why it is this contradiction?
Best regards
 
Last edited by a moderator:
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exponent137 said:
I read article http://www.oup.co.uk/pdf/0-19-850687-2.pdf
Can you tell us the source? There's no author or journal reference in the paper.
 
Last edited by a moderator:
Maybe Kiefer. Once I found this article with the name.
 
Look, there's really nothing "special" about gravity IF you simply want to use that in the potential term of a Schrödinger equation. Honest! The quantum effects of gravity has been observed![1]

What is currently the issue is the QFT description of gravity. This is different than "Schrödinger equation in a gravitational field".

Zz.

[1] V.V. Nesvizhevsky et al. Nature v.415, p.297 (2002).
 
Zapper, I understand this, I know that this is not quantum gravity.

But once I saw Schrödinger equation with homogenic gravitational field.
Bellow It was explanation that mi is in denominator and mg is above in equation and this is not in accoradance with equivalence principle.
I wish to remember, how precisely is this.

I am interested in disagreements of quantum theory and general relativity, not in solvatition of this.

Regards
 

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