- #1
Killtech
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- TL;DR Summary
- Why can't Quantum Physics be modeled in classical probability theory (i.e. classical Kolmogorovs definition of probability)?
Because I do have a background in the latter it was originally very difficult for me to understand some aspects of QP (quantum physics) when I initially learned it. More specifically whenever probabilities were involved I couldn’t really make full sense of it while I never had any problems understanding the actual math (i.e. the deterministic part). Basically I had big troubles of anything involving the QP interpretations and it took me a while to learn that QP uses a different concept of probability simply not compatible with PT (probability theory). I found there are rigorous formulations of this like under the keyword of quantum probability and it helped me a great deal in finding a way how to view and interpret these calculations.
But this does not answer another question: why even go this way and sway away from Kolmogorovs PT? For one I do not know of any experiment that exhibits any weird nature that would pose a problem for modelling within classic PT (non-locality isn’t an issue as PT is inherently non-local i.e. it doesn’t even have a concept of the underlying physical space and therefore its metric). That however would be a key to comprehend the core nature of QM for me. Without this it leaves a big gap in my understanding as to why it is necessary to model QP the way it is/ what necessitates such modelling. I did not find much to read on this particular topic hence this post and question.
But this does not answer another question: why even go this way and sway away from Kolmogorovs PT? For one I do not know of any experiment that exhibits any weird nature that would pose a problem for modelling within classic PT (non-locality isn’t an issue as PT is inherently non-local i.e. it doesn’t even have a concept of the underlying physical space and therefore its metric). That however would be a key to comprehend the core nature of QM for me. Without this it leaves a big gap in my understanding as to why it is necessary to model QP the way it is/ what necessitates such modelling. I did not find much to read on this particular topic hence this post and question.