Submitted:
03 December 2021
Posted:
06 December 2021
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Abstract
Research for a theory of quantum gravity has recently led to the use of presheaf topos. Quantum uncertainty is linked to the truth values of intuitionistic logic. This paper proposes transposing this model into a classic probability context, that of conditional mathematical expectations. A simulation of Brownian motion is offered for illustrative purposes.
Keywords:
category
; topos
; presheaf
; probability
; validity
; truth
; conditional expectation
; measurement
; quantum mechanics
; information
; entropy
; reduction
; collapse
; projection
; logic
; algebra
; Wiener
; Bayes
; Boole
; Heyting
; Brownian motion
; filter
; crible
; capacity
; reservation
; context
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