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Hi,

I was thinking about the wavefunction when I intercepted an interesting thought experiment that I couldn't quite formulate the answer to:

Say that we imagine a small particle that is small enough so that it is about the size of an electron (the particle having no charge). Let's say that we want to "explore" the inside of the wavefunction with this particle by inserting it into the probability cloud that surrounds the nucleus of the hydrogen atom. By signaling off another particle when struck by another electron, this particle should reveal whether or not it has come in contact with an electron. If we insert the particle in atinybit of the probability sphere, and if for instance, we receive no signal, then we can identify that the electron was not in the same place that our particle entered.

Given that the absence of a signal is information about the electron, the wavefunction should effectively collapse intwoperspectives: one belonging to us, the observers, and one belonging to the electron itself. To us, we can identify that the electron was not in the same place as our detector particle, but because we have only tested a very small amount of probabilities in the cloud available for us to try, the electron should still be in a state of uncertainty relative to us. Whereas our knowledge of the electron improves very little, the electron itself has its own collapse, forming the other perspective. In this perspective, the electron has been collapsed to a path that was not testable in the observer's apparatus.

My question is this: after our first "measurement", does the probability still exist in the observer's perspective and in the electon's perspective? So, even though we have collected data about one are of the cloud, the other areas are still unknown, and that portion of the probability cloud should be in a state of uncertainty. But for the electron, it has collapsed itself, and has settled into an eigenstate, and has no more interference. Given these two scenarios, is there an effective paradox, what can we observers say about the probability cloud now? Thanks for any comments,

RT

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# Inside the Wavefunction

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