David Deutsch suggested something like this I (that individual universes are 
discrete, but the multiverse as a whole is continuous).

“within each universe all observable quantities are discrete, but the 
multiverse as a whole is a continuum. When the equations of quantum theory 
describe a continuous but not-directly-observable transition between two values 
of a discrete quantity, what they are telling us is that the transition does 
not take place entirely within one universe. So perhaps the price of continuous 
motion is not an infinity of consecutive actions, but an infinity of concurrent 
actions taking place across the multiverse.” January, 2001 The Discrete and the 
Continuous

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