Despite how impossible the integral looks, it's actually extremely useful in Quantum Field Theory.
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Feynman's Path Integral Formulation is a reformulation of QM. It states that a particles probability of going from (x₀,t₀) to (x,t) is the integral over 𝒂𝒍𝒍 𝒕𝒓𝒂𝒋𝒆𝒄𝒕𝒐𝒓𝒊𝒆𝒔 x(t) connecting those points, weighted by the exponential of the classical action over ℏ.pic.twitter.com/eCkEdZy9gp
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This is often-times what people mean when they sloppily say "a quantum particle 'tests' all possible paths"
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It’s certainly not countable, and it depends on what you mean by “matters”
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Yea yea now define the measure rigorously!
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no thanks ;)
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very neat! I didn't know that
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Luck with that integral
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Don't forget the i, that's what makes the quantum weirdness.
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