Nonlinear, nonrelative wavefunction

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    Nonlinear Wavefunction
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Discussion Overview

The discussion revolves around the concept of nonlinear wavefunctions in the context of quantum mechanics and their relationship with general relativity. Participants explore the implications of nonlinearity and relativism for wavefunctions, questioning whether a successful theory exists that explains wavefunctions as nonlinear without necessarily being relative.

Discussion Character

  • Debate/contested
  • Conceptual clarification

Main Points Raised

  • Some participants argue that the unification of general relativity and quantum mechanics requires a consideration of both relativism and nonlinearity in wavefunctions.
  • One participant references a specific paper, questioning its relevance to the topic of nonlinear wavefunctions.
  • A later post reiterates the initial question about the nature of nonlinear wavefunctions and proposes a hypothetical form for such a wavefunction.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the existence of a successful theory for nonlinear wavefunctions, and the discussion remains unresolved with multiple competing views presented.

Contextual Notes

Some limitations include the lack of clarity on how nonlinearity specifically relates to relativistic wavefunctions and the absence of definitions or assumptions regarding the proposed nonlinear wavefunction.

Loren Booda
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Denying the unification of general relativity and quantum mechanics seem to be the simultaneous requirements of relativism and nonlinearity for the wavefunction. Wavefunction linearity and relativity are seamlessly incorporated under the physics of Fermi. Has there yet been a successful theory explaining the wavefunction as nonlinear, not necessarily relative?
 
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Chronos,

How does this link you suggested above relate to the nonlinearity of (relativistic) wavefunctions? I searched its nine pages for the term "nonlinear" and got no results; searching for "wave-function" (sic) obtained only two results.
 
Loren Booda said:
Denying the unification of general relativity and quantum mechanics seem to be the simultaneous requirements of relativism and nonlinearity for the wavefunction. Wavefunction linearity and relativity are seamlessly incorporated under the physics of Fermi. Has there yet been a successful theory explaining the wavefunction as nonlinear, not necessarily relative?

What would a nonlinear wave function look like? Would it have an appearance like

[tex]\Psi \ne P: \frac{\psi}{2}[/tex]?
 

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