Nonlinear, nonrelative wavefunction

[Loren Booda]

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?

 

[Chronos]

That is a hot topic. The one that comes to mind to me is this
http://arxiv.org/abs/quant-ph/0406195

 

[Loren Booda]

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.

 

[QuantumClue]

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

\Psi \ne P: \frac{\psi}{2}?