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Apr
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comment Does Quantum Mechanics assume space and time are continuous?
Thanks David. Lubos has mentioned that "the theories of discrete space and time have only reinforced the conclusion that such theories are inevitably inconsistent". Could you point me to some articles/theories where people look at discrete space and time models? I am asking this just for my own curiosity. The problem I see in the continuous space time approach is that at some stage people need to hit the concept of uncountability which I do not know how people can view it in physics. Is Heisenberg uncertainty principle a manifestation of this uncountability? Sorry for being vague & imprecise.
Apr
25
comment Does Quantum Mechanics assume space and time are continuous?
@Qmechanic: My question is if quantum mechanics or any of the theories of physics like string theory, quantum gravity theory, etc "assume" discrete space-time.
Apr
25
asked Does Quantum Mechanics assume space and time are continuous?
Mar
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comment Physics for mathematicians
@Jaime: I tend to disagree with V.I.Arnold. By no means is mathematics a part of physics. Mathematical models are used to explain physics. Mathematics exists as an art in its own form. It may or may not have anything to do with Reality.
Feb
28
comment Physics for mathematicians
Thanks. I am currently reviewing Classical Mechanics now and want to move on to General Relativity some time later.
Feb
27
comment Physics for mathematicians
@Marek: Currently I am revisiting Classical Mechanics from a rigorous mathematical stand point. I am learning this for no specific reason just out of academic interest.
Feb
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asked Physics for mathematicians
Nov
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comment Is the world $C^\infty$?
@Sklivvz: Yes. Though, I am absolutely fine with these infinitesimal, infinities and a hierarchy of infinities. These seem to make perfect "sense" when the world I talk of is dictated by my brain (or) in the "platonic world". However in the world dictated by my other "senses" eye, ears, touch, feel or in the "physical world", I am not totally convinced with these infinitesimal and uncountability. However, we can never know which world is the "true/absolute" world if it were to exist.
Nov
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comment Is the world $C^\infty$?
Well to begin with the concept of all these waves and etc assume continuity. The wave equation we use is when we assume the world is continuous. This is the case with all PDE's, Integrals etc.
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