The block universe concept is simply another way of treating time as a
dimension - or, of course, of merging space and time into a 4D continuum,
as in special relativity. All the arguments against it I've seen (so far)
rely on mischaracterising it (in ways that are fairly obvious when you stop
and think about them). Einstein was quite happy with the idea, so anyone
who wants to "prove Einstein wrong" had better have something that isn't
just an obviously mistaken attack on a straw man view that no physicist
would subscribe to before they start, or they risk looking a bit stupid.
For example the above quoted paper apparently states that "*This view is
however based on time-reversible microphysical laws and does not represent
macro-physical behaviour and the development of emergent complex systems,
including life, which do indeed exist in the real universe" *- which is
just rubbish; the BU concept is simply what you get if space-time is a
continuum. The author has obviously simply got some incorrect view of the
whole concept, written a paper around it (and probably been laughed at by
the vast majority of physicists).

The simplest way to think about a block universe is to look at an event in
the past. An important decision, say. If you can't now change it, what
evidence do you have that you could have changed it at the time? What does
that concept even mean?

Note that the multiverse doesn't change this view, it just broadens it.
Especially since QM is deterministic for a multiverse.

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