Hi Ohad,

Thank you for your interest about my work. In this case or pdf are the same thing but here happens to be complex and the interpretation should be somewhat changed.

Marco

]]>in (8), the Kolmogorov (btw, how did you choose bwd/fwd?) is about the pdf. but you mention psi there. so, is that psi the wave function or its norm squared? ]]>

Big fan of this work. No words to tell how much.

Would love to cooperate in research with you. ]]>

I think that the primary utility of state vectors and spinors is that their mathematics is linear. That is, they’re advantageous for our representation of reality rather than (necessarily) being what most naturally represents reality. So I see them as a mathematical tool; the fundamental physics is in density matrix form. (Or propagators.)

One way of seeing that QM is inherently nonlinear is to note that tripling a wave function doesn’t create a model of a quantum state in any way different from the original one. This is in distinction to a truly linear theory like classical E&M where tripling the charges, currents, voltages, etc., creates a new state that represents a different physical state than the original.

]]>Dear Giulio,

Thank you a lot for your interest on my work. Please, note that there is a problem in the definition of the stochastic integral as it is given there. Sums like do not appear to converge for $0<\alpha<1$ and so the integral in the Riemann sense does not exist. So, I am in need for a proper definition of this integral to make all the argument consistent. I am open to whatever good proposal.

About the form of the Schroedinger equation you are right, there a term proportional to multiplied by the derivative of the wave function. This should be corrected using a potential that can remove it. It is interesting to note that, in 3 dimension, I would expect a gauge coupled equation to come out.

Regards,

Marco

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