Causal Evolution of Wave Function and Gravity

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SUMMARY

The discussion centers on the causal evolution of a particle's wavefunction in relation to gravitational effects. It asserts that while gravitational interactions exist, they do not significantly alter the environment or generate observable information, thus preventing wavefunction collapse. The need for a quantum theory that incorporates gravity is emphasized, particularly when gravitational effects become large enough to be observed. The text highlights that the weak nature of gravity means it does not impact the wavefunction unless it leads to observable changes.

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  • Understanding of quantum mechanics principles
  • Familiarity with wavefunction behavior in quantum systems
  • Knowledge of gravitational effects in physics
  • Basic concepts of quantum gravity theories
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  • Research quantum gravity theories and their implications
  • Explore the role of decoherence in quantum mechanics
  • Study the effects of gravitational interactions on quantum systems
  • Investigate the relationship between wavefunction collapse and information generation
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Physicists, quantum mechanics researchers, and students interested in the intersection of quantum theory and gravity.

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I read in my textbook that the wavefunction of a particle evolves causally when unobserved. but isn't it constantly being observed or detected in some sense by its gravitational effects?
 
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Well, this is one reason to believe that we also need a quantum theory that includes gravity (in other words, in which the gravitational effects are themselves quantized). In that case, until you observe the gravitational effects, no actual observation happens. Of course, the gravitational effects probably decohere the state anyway.

Of course, this problem only becomes an issue when the gravitational effects are large enough to be observed. But this is exactly the stage at which quantum gravity is expected to take over.
 
The gravitational effects of a particle on its environment are not sufficient to change the environment in an observable way. If they were, the wavefunction would indeed change. For example, if you put a gravity-based detector beyond a double slit, if the detector were sensitive enough to feel gravitational attraction from the particle, then there would be no interference pattern - the wavefunction would be collapsed. But since gravity is such a weak force, particles do not exert a significant gravitational force on their environment. There may be an interaction, but the interaction is so minute it doesn't alter the environment, and therefore doesn't create information, in any way. And the wavefunction collapse is not about interaciton, but about the generating of information. After all, you can pass photons through a lens or bounce them off a mirror and not collapse the wavefunction - even though the photons have significantly "interacted" with the glass molecules - indeed, in the case of a mirror, they've been entirely absorbed by the electrons and re-emitted. There's no wavefunction collapse, however, because the state of the glass is unchanged by the presence of the photons.
 
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