Tuesday 8 October 2019

Feynman's 'Sum Over Histories' Through Systemic Functional Linguistics

Hawking (1988: 59-60):
A nice way of visualising the wave/particle duality is the so-called sum over histories introduced by the American scientist Richard Feynman. In this approach the particle is not supposed to have a single history or path in space-time, as it would in a classical, non-quantum theory. Instead it is supposed to go from A to B by every possible path. With each path there are associated a couple of numbers: one represents the size of a wave and the other represents the position in the cycle (i.e., whether it is at a crest or a trough). The probability of going from A to B is found by adding up the waves for all the paths.

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From the perspective of Systemic Functional Linguistic theory, Feynman's 'sum over histories' approach — taking into account of every possible trajectory — is the reconstrual of experience as quantum system potential, which is quantified as probability.  The actual paths taken by particles are instances of that potential, whose different frequencies instantiate the different system probabilities.

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