If you take the multiverse explanation there is one possibility. In the multiverse view, the observer also proliferates along with the rest of reality as the present diverges into multiple futures and so the "collapse" is really just a clarification - the observer finding more precisely among possible observers which one they are. If this is the case, consciousness is part of the wave function and thus certain thoughts might influence the future wave function as holding particular thoughts bar certain futures from happening. This already occurs indirectly as the scientist consciously decides to run a slit experiment instead of something else, which has definite impact as thought cascades into action. More directly Universities and research groups are doing studies along these lines with random number generators and consciousness. http://noosphere.princeton.edu/ It is less mysterious as it sounds once you realize consciousness is a derived property of molecular/electro chemical structure or "shape" of the quantum fields and as such part of the quantum waveform.
If you take the multiverse explanation there is one possibility. In the multiverse view, the observer also proliferates along with the rest of reality as the present diverges into multiple futures and so the "collapse" is really just a clarification - the observer finding more precisely among possible observers which one they are. If this is the case, consciousness is part of the wave function and thus certain thoughts might influence the future wave function as holding particular thoughts bar certain futures from happening. This already occurs indirectly as the scientist consciously decides to run a slit experiment instead of something else, which has definite impact as thought cascades into action. More directly Universities and research groups are doing studies along these lines with random number generators and consciousness. http://noosphere.princeton.edu/ It is less mysterious as it sounds once you realize consciousness is a derived property of molecular/electro chemical structure or "shape" of the quantum fields and as such part of the quantum waveform.