instein's special theory of relativity
combines space and time into one dynamic
unified entity
space-time but if time is connected to
space
can the universe be anything but
deterministic
and does that mean that the future is
predestined
we saw that we could
think of the unified space-time
in terms of the block universe an
a-temporal
entity that sort of just exists in a
block universe of einstein's relativity
there's no way to clearly define the
present and so
no way to cleanly separate the future
from the past
the notion of the present is relative to
us it looks like a particular slice
through the block universe but different
observers will slice the block at
different angles
that depend on their velocities that
means that for every observer it's
possible to imagine another observer
who lives in their definition of the
present
but for whom your future is already the
past
or for whom your past is their future
but how does this give us a
deterministic universe
well if we accept a unique reality
for those other observers in our present
and we accept that their perception of
the present
is as valid as ours then all of the
future is defined
that seems to support the philosophical
stance of eternalism
the idea that all space and time exist
from a sort of
god's eye view from outside of both
space and time
and it suggests a deterministic universe
where every slice through the block
universe
is completely determined by every other
slice
either behind it or ahead of it they are
connected
by the unalterable laws of physics so
here's the big question
given that relativity is definitely a
good description of space and time
what would it take for our future to
remain
undefined it seems we have two options
either the entire block universe is
defined past present and future
or everything outside our past light
cone is undefined
including other observers and the room
around you in what you would normally
think of as the present
and the only aspect of the present that
exists
is a vanishingly small patch of
space-time
around your own brain in order to even
try addressing which of these options is
right
we need to take into account something
we've totally ignored so far
where relativity is the key to
understanding the universe of the large
and the very fast
we also need to understand the universe
of the very tiny
we need to see what quantum mechanics
says about
determinism and how it plays with
relativity and the block universe
according to quantum mechanics physical
systems parts of the universe
evolve as way functions not as
well-defined reality
but rather as distributions of
probability that describe all possible
states that that chunk of the universe
could be in
if it were to be observed the wave
function
can be thought of as a state in which
all physically possible realities
intermingle
countless extremely precise and
frequently replicated
experiments tell us that the universe
really does exist in this
indeterminate state in certain
circumstances
the wave function is real the big
question
is what causes the transition from this
world of quantum indeterminacy
to the solid singular reality of the
macroscopic world
we've talked about this profound
weirdness in many episodes
including how to interpret it now
exploring those interpretations again
may help us understand the state of the
universe beyond our immediate selves
and the immediate moment one of the
earliest and still most accepted
interpretations of all this weirdness
is the so-called copenhagen
interpretation which states that a
quantum system is literally in a state
of
undefinedness until observed
at which point the wave function
collapses into a defined state
all particles take on defined properties
and
one actual reality is chosen from the
many possible ones
at least as far as the heisenberg
uncertainty principle allows
the copenhagen interpretation gives us a
non-deterministic universe
the wave function evolves in a precise
way perfectly defined by the equations
of quantum mechanics
but at the moment of measurement a
single reality is randomly selected
from the distribution of possible
realities the dice are thrown
when the wave function collapses that
means it's fundamentally impossible
to predict the state of a system after
observation
another popular interpretation of
quantum mechanics is the many world's
interpretation
which simply states that the wave
function never collapses
instead all possible states of the
quantum system continue to exist
rather than choosing one reality out of
many when we observe a quantum system
we sort of just become part of one of
the realities and lose track of the
others
the many world's interpretation gives us
a deterministic universe
or rather a deterministic multiverse the
way function never collapses
it evolves deterministically forever the
illusion of randomness is
that we find ourselves in the one branch
of the wave function corresponding
to the reality we perceive but we aren't
randomly placed in that branch
we just are a part of that branch so how
do these interpretations
connect with what relativity tells us
about
past future and present let's start with
copenhagen
it's tempting to equate everything
outside our past
light cone with the unobserved wave
function
you can imagine that light cone sort of
just plowing
through the undefined universal wave
function
collapsing it as it goes or at least the
parts of that wave function for which
signals actually reach our awareness
that leaves your future light cone
undefined a
non-deterministic void with room for
your non-determined
choices but now let's say we believe
that other observers in the universe can
also
collapse the same universal wave
function with their observations
well no problem so far you can imagine
this fleet of observers collapsing the
universe
all the way up to what you perceive as
the present your future is
intact but wait we saw
last episode that your impression of the
present is
relative a fast-moving observer defines
the present very differently to you
in fact any part of space-time not in
your future light cone
is potentially the past for another
observer
in your present and that observer can
imagine a
third observer on their different
present for whom
your future light cone is in their past
light cone
so it should have already been collapsed
the upshot is that with no way to define
an absolute definition of the past and
if we believe in other observers
there's no way to keep the wave function
of your future
from being collapsed before you get
there
now there are subtleties in this
wavefunction function collapse idea
copenhagen doesn't specify what causes
the collapse
it could be observers as in the von
neumann wigner interpretation
that's the hardest to gel with a
non-deterministic universe
unless you're the only observer in the
universe more physicists prefer the idea
of a non-conscious interaction causing
the collapse
in that case uncollapsed wave functions
tend to exist only in microscopic
pockets or in very special circumstances
but that doesn't help uncollapse your
future
no the only totally coherent way for a
non-deterministic wave function collapse
interpretation
like copenhagen to give you an
uncollapsed future
is if you're the only being doing the
wave function collapsing
let's move on to many worlds this
interpretation sits a bit
better with the relativity of past
present and future
your light cone sweeps through the
global wave function but it doesn't
collapse that wave function
rather it selects from it sometimes the
quantum multiverse of many worlds is
depicted as this branching tree
in which the realities multiply as time
progresses
in the block universe picture it's
tempting to depict this as the entire
block multiplying with every quantum
event
but that's not quite right a division in
the block universe can only propagate as
quickly as the result of that quantum
event
can become known that can happen at the
speed of light
so we can also think of the splitting as
proceeding in advancing light cones
really what's happening here is that
parts of the universe become entangled
with each other
correlated at a quantum level so we have
these spreading webs of entanglement
each such web defines a set of
properties of the universe
correlated with some prior quantum
decision with
an independent web existing for all
different possible decisions
here we're bringing in the concept of
decoherence and quantum darwinism which
we've covered before
decoherence is an explanation for how
the world can become
separate from each other when you shift
from simple systems like an atom to
complex systems like a cat
according to the decoherence explanation
the quantum multiverse isn't a
cleanly divided set of alternate
realities
rather it's a tangled network of
alternate sub-realities
nonetheless as your light cone moves
forward in time
you encounter these entanglement
networks and you have to choose between
them
your reality is the particular set of
entanglement networks that you interact
with
and there are other realities with
different networks that contain
different versions of you
i should add that the light cone picture
isn't ideal here
because entanglement can travel faster
than light however
light speed signaling is the surest way
to transfer quantum correlations
so this is still a useful picture so
what does all of this say
about determinism and the reality of
your past and future
well interesting things actually the
evolution of the wave function
is deterministic that means all future
branching of the wave function of your
present
by which i mean the entanglement network
that you currently belong to
is predefined what isn't defined
is your own experience of that future
branching
you will be the thread of conscious
experience that travels one of those
branches
you'll also travel the others but each
version of you will only
feel like you travelled one of them this
interpretation
many worlds plus decoherence perhaps
gives us the most concrete notion of an
objectively existing present
it's that part of the global weight
function that you're connected to via
entanglement
and that shares your timestamp of now
but the notion of now remains relative
there
are still other observers in your slice
of reality for whom you're now
is their past or future copenhagen and
many worlds aren't the only
interpretations of quantum mechanics in
town
we should make an honorable mention to
the de broglie bone pilot wave theory
this is an entirely deterministic
interpretation that doesn't have
multiple realities just a wave function
that guides particles in a perfectly
determined way
defined by bohmian mechanics of course
we've talked about
all of this before the universe of pilot
wave theory is
really a block universe but
unfortunately
no one has convincingly figured out how
to make bohmian mechanics
work properly with special relativity so
it's a very
simple block universe and it's not a
good representation of ours
there are other interpretations that
deserve mention
but we're out of time so does the future
already exist according to quantum
theory
the answer depends on your favorite
flavor of quantum interpretation
perhaps we ride the dice of copenhagen
into an unknown future
or surf the splitting quantum multiverse
into all futures of which you will
become just one
of course we still haven't got to why
time needs to progress in one direction
at all or how time even arises in the
first place
but we'll have plenty more time for time
another time
on space time hey everyone last week we
introduced the idea of the relativity of
simultaneity and
the block universe and what this might
tell us about the reality of the past
and future
at least i think it was last week the
whole time things very muddled in my
head these days
but let's see what you had to say
anonymous makes some important points
i'll summarize in einstein's relativity
the definition
of simultaneous events is well relative
it depends on relative velocities so
does that mean that the idea of a
now slice through the block universe is
meaningless well
maybe but two observers can certainly
construct a map of events across the
universe
that they would define as happening
simultaneously at a given instant in
time
their slice of now and compare those
maps even though they have to wait
until the light reaches them to do so
so the now slice has a precise meaning
what it does not have is the property of
clearly and currently
existing to the exclusion of other
slices in the block universe
and that's where the relativity of
simultaneity connects to eternalism
if you can ascribe actual existence to
one slice of the block universe
to one observer's definition of the
present then you should ascribe
existence to the slice of the present as
defined by any potential observer on
that first slice
and that fills the block universe past
and future the alternative seems to be
to not ascribe reality to any observers
present
but then what exists just the one
observer at any rate
the relativity of simultaneity doesn't
prove eternalism
rather it shows that presentism or the
idea of the growing block
interpretations are incoherent
and speaking of presentism carl stanlin
raises a point that highlights another
objection that i have to the concept
if only the incident exists what is that
instant
is it a very short stretch of time like
one plank unit of time
or is it a truly instantaneous stretch
of zero seconds
as much as physicists hate to talk about
consciousness
i think it's relevant to bring up here
our conscious experience
exists in fact it's the only thing we
can observe directly
but that experience almost certainly is
emergent from the action of our neurons
and those neurons take time to fire and
communicate across the brain
so something that currently exists our
consciousness
is smeared out over at least 100
milliseconds of time at least
that length of the present should be
thought of as real you might argue that
our conscious experience
rides the leading edge of the brain's
action emerging in a true instant
synthesizing prior brain activity but
for that to be a true zero time instant
then it would need to be the
instantaneous state of the brain the
momentary spatial configuration of its
particles
at that instant that gives rise to our
conscious experience
so then does a frozen brain just
experience the current incident
eternally
most probably not rather consciousness
surely requires dynamical processes
a flow of information that means
that at least a short chunk of the block
universe has a real current existence
much larger than the planck time and if
that much
time can exist then why not all of it
guillermo makasani takes issue with my
characterization of einstein as the
smartest man in the block universe
dude i said block universe not universes
rick is the smartest man in the
multiverse also i'm pretty sure einstein
was another renegade from the citadel of
rix
the resemblance can't be a coincidence
and for those uninitiated into rick and
morty there are other funny pop culture
references
in the comments drake gives a nice
douglas adams quote time is an illusion
lunchtime doubly so grandpa's place
reminds us of doctor who's experience of
time as
a big ball of wibbly wobbly tommy
womey's stuff
but really you should also just go and
watch rick and morty think of it as a
co-requisite study course to pbs space
time
wobble dub dub
you