Eduard Prugovecki
Forfatter af Quantum Mechanics in Hilbert Space: Second Edition (Dover Books on Physics)
Værker af Eduard Prugovecki
Dawn of the New Man: A Futuristic Novel of Social Change 2 eksemplarer
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This should give people pause for thought each time we make pretentious pronouncements about the state of the world and its imminent demise; Just because we are not able to accurately measure a physical event (and in most cases, mathematically, or even mentally, conceptualize such events) doesn't mean they are not there.
Simply put, if the universe really is infinite then there must also be an infinite number of dimensions to define the infinite number of unique physical events that comprise such a universe. Even if the universe eventually proves to be somewhat less than infinite there is still much room for improvement in our understanding if we are to be true to scientific ideals.
I still find this area of science to be extremely refreshing in an age that seems to be increasingly rewarding nihilism, forced conformity to entirely moot theory, and a reactionary attitude in the general population (both left and right!).
Of course, the problem with my statement 'so long as we abandon our rather Panglossian obsession with what we currently "know to be true"' - is what's the action item? We have no choice. You can imagine anything you want, but until you can devise a test for it, and ideally fit it into a theoretical framework which must ALSO explain all existing observations, it's just pure guesswork. And by the way, why must an infinite universe have an infinite number of dimensions? I should point out that as the number of dimensions grows, there is less and less "room" inside a typical shape in that dimension. I can show this mathematically if you like, though I suspect you already know that :)
NB: I’ve mentioned Hilbert Space above. Just to make things clear, I’m presuming you’re aware that the (complex) Hilbert Space of solutions to Schrodinger's Equation, and its extensions, is infinite dimensional. It has a countably infinite basis and so in some sense there is only one Hilbert Space. The range, space-time of 4 or 10 dimensions, does not have to be infinite dimensional. Prugovecki makes this abundantly clear.… (mere)