Can Instruments Alter Wave Functions Across Global Distances?

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Discussion Overview

The discussion revolves around the potential for instruments to affect the wave function of objects across global distances, exploring the implications of locality in quantum mechanics and the nature of wave functions. Participants question the feasibility of such experiments and the theoretical underpinnings of wave function manipulation.

Discussion Character

  • Exploratory
  • Debate/contested
  • Conceptual clarification

Main Points Raised

  • One participant questions what instruments could affect the wave function of an object, suggesting that if wave functions lack locality, it should be possible to alter them from a distance.
  • Another participant argues that the wave function is an abstract mathematical object, implying that the notion of an instrument affecting it is meaningless, comparing it to manipulating a mathematical equation.
  • A different participant raises a question about the collapse of the Singlet state, suggesting that the correlation between measurements is what is "caused" by such a collapse.
  • One participant reiterates the initial question about instruments affecting wave functions and discusses the limited influence a distant object might have on a measuring device, noting that such effects could be negligible or cancel out.
  • This participant also mentions that if a detection were made, it would imply that the photon was not detected elsewhere, highlighting the complexity of overlapping probabilities in quantum mechanics.

Areas of Agreement / Disagreement

Participants express differing views on the nature of wave functions and the possibility of influencing them from a distance. There is no consensus on the feasibility of such experiments or the implications of locality in quantum mechanics.

Contextual Notes

The discussion touches on the abstract nature of wave functions and the mathematical formalism of quantum mechanics, which may limit the applicability of certain experimental concepts. The implications of locality and the nature of measurement in quantum mechanics remain unresolved.

bluecap
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What instrument can affect wave function of object?
If wave function doesn't have any locality. Then why can't an instrument here able to access and alter the wave function of any object in the world (and detectable in the other side of the planet)? How do you make such experiments. And what could possibility prevent the possibility of this experiment?
 
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bluecap said:
What instrument can affect wave function of object?
In the mathematical formalism of quantum mechanics, the wave function is an abstract mathematical object (it's the solution to a particular differential equation) so the idea of an instrument affecting it is meaningless. It's like asking what instrument can affect the equation ##a(b+c)=ab+ac##.
 
I wonder a bit about this too. If we have a collapse of the Singlet state, what is "caused" is the correlation between the measurements, right?
 
bluecap said:
What instrument can affect wave function of object?
If wave function doesn't have any locality. Then why can't an instrument here able to access and alter the wave function of any object in the world (and detectable in the other side of the planet)? How do you make such experiments. And what could possibility prevent the possibility of this experiment?

In a limited (and somewhat semantic) sense, it can. Clearly the influence of a distant object on a measuring device here (perhaps a photon detector) would be vanishingly small. And in fact in many cases would likely cancel out entirely and you would see nothing - ever.

If you did detect something (in some rare case), that would in fact mean that the photon was not detected elsewhere. But you would have no good way to know that. In effect, many small particle (wave) probabilities are overlapping at all times.
 

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