Not a problem. Schrödinger was deeply sceptical of quantum physics. He invented his thought experiment about his quantum cat as a means to show how paradoxical quantum mechanics was. Perversely Heisenberg’s Matrix Mechanics shows very clearly the nature of reality and that position and momentum are derivatives of the quantum matrix object.
Yeah, he was deeply sceptical and they couldn't stand each other. But If I am not mistaken (and I can be...), Dirac showed the equivalence between Wave QM and Matrix QM. But I should check.
Yes I think it was Dirac as well. My real concern is that the moment the wave particle meme took hold many people stopped thinking about the Matrix Mechanic approach ( It is much tougher to visualise as it is so abstract). I just have an intuition /suspicion that with matrices appearing in networks /maps and their application to both human and artificial intelligence we may have taken a wrong turn. We will get there in the end no doubt, but it's a shame we took the route that seemed most familier rather than the more abstract one.
It has always interested me that Heisenberg’s Matrix Mechanics was so quickly sidelined by Schrodinger’s wave mechanics. Heisenbergs matrix math is still useful to QM but Schodinger’s wave equation is far less abstract and seems to have captured the momentum. I find this disappointing because matrices also form central roles in AI and describing the graphs that model the connections in associative networks in like our own which seems like a big hint from nature. But matrix mechanics is conceptually hard to grasp and so wave / particle duality has guided our understanding.
That's very interesting, and I think you're right, Steve. Certainly Schodinger's equation did not convince even Schodinger himself. Sorry for the slow reply, but I'm having trouble with notifications.
Fascinating read! The interplay between quantum mechanics and classical theories like relativity continues to challenge our perceptions of reality. It's impressive how you've distilled such complex ideas into something digestible yet thought-provoking. Thanks for sharing your insights on the EPR paradox and its implications on our understanding of the universe!
Not a problem. Schrödinger was deeply sceptical of quantum physics. He invented his thought experiment about his quantum cat as a means to show how paradoxical quantum mechanics was. Perversely Heisenberg’s Matrix Mechanics shows very clearly the nature of reality and that position and momentum are derivatives of the quantum matrix object.
Yeah, he was deeply sceptical and they couldn't stand each other. But If I am not mistaken (and I can be...), Dirac showed the equivalence between Wave QM and Matrix QM. But I should check.
Yes I think it was Dirac as well. My real concern is that the moment the wave particle meme took hold many people stopped thinking about the Matrix Mechanic approach ( It is much tougher to visualise as it is so abstract). I just have an intuition /suspicion that with matrices appearing in networks /maps and their application to both human and artificial intelligence we may have taken a wrong turn. We will get there in the end no doubt, but it's a shame we took the route that seemed most familier rather than the more abstract one.
Ah, okay, now I really see what you mean, and, you're absolutely right.
It has always interested me that Heisenberg’s Matrix Mechanics was so quickly sidelined by Schrodinger’s wave mechanics. Heisenbergs matrix math is still useful to QM but Schodinger’s wave equation is far less abstract and seems to have captured the momentum. I find this disappointing because matrices also form central roles in AI and describing the graphs that model the connections in associative networks in like our own which seems like a big hint from nature. But matrix mechanics is conceptually hard to grasp and so wave / particle duality has guided our understanding.
That's very interesting, and I think you're right, Steve. Certainly Schodinger's equation did not convince even Schodinger himself. Sorry for the slow reply, but I'm having trouble with notifications.
Fascinating read! The interplay between quantum mechanics and classical theories like relativity continues to challenge our perceptions of reality. It's impressive how you've distilled such complex ideas into something digestible yet thought-provoking. Thanks for sharing your insights on the EPR paradox and its implications on our understanding of the universe!
I love these topics and it's thrilling for me to share them. Glad it's understandable. Thank you for commenting and thank you for reading.