Hardly anyone knows about the block universe idea from modern
physics. In the block universe, the past, present and future are all
equally real. So the future is already "out there" and the past never
went away. And we are moving through the block universe in a way that
is similar to being moved through the Haunted Mansion ride.
This is easy to understand but it is also hard to accept
because virtually everyone believes in presentism. Below is a collection
of quotes and links to sources that support the block universe idea.
Most of these physicists and philosophers do not take the next step
and use the idea as a proof for God or proof for a human soul, however,
some do. Doing so, is, of course, politically incorrect, only materialism
is allowed.
If you're new to the block universe idea you need
some definitions that are used in this essay. In physics, the block
universe can also appear as the
blockworld. You mainly
find the term blockworld used in the context of the relational
blockworld interpretation of quantum mechanics. The block universe
idea originated in 1908 with Hermann Minkowski, one of Einstein's
teachers who looked at what Einstein did with special relativity
and realized the consequences. (See, for instance, chapter 2 of
MinkowskiFreemiumMIP2012.pdf. But you should probably read chapter 1
first.) There would no longer be space and time, instead there would be
four-dimensional
spacetime, three dimensions of space and one of
time fused together. In physics, the time dimension is almost exactly
like a space dimension, but there is a slight difference.
In philosophy,
the block universe idea is called
eternalism and it can be traced
back to the Greek philosopher, Parmenides of Elea. In philosophy,
it is also the B-theory of time.
In modern physics there is also the subject of quantum mechanics.
Quantum mechanics deals with the movement of atomic-size and sub-atomic
size particles. They behave very strangely but physicists have the
equations that describe how they behave. In quantum mechanics, there
is the term, superdeterminism, that I believe is equivalent to,
or almost equivalent to, the block universe, although I've seen at least
one person say they are different.
The block universe idea is much different than the understanding of
the universe almost everyone has. In philosophy, the alternative to
eternalism is called presentism or the A-theory of time. In
presentism, only the present exists, the past is gone and the future
is not out there yet. In presentism you have a Big Bang that
creates particles and they go flying through space. In the
presentism idea, there are three dimensions of space and something
called time.
I've discovered that when you present people with the block universe idea
they often reject it in favor of the Big Bang idea. The Big Bang
idea is enormously popular because everyone else believes it. An
awful lot of what we believe, we believe because lots of other
people believe it too. The Big Bang idea came from general
relativity. But general relativity and special relativity both
support the block universe idea. With the Big Bang
a whole lot of particles formed in the Big Bang and they
are moving around. And the Big Bang is long gone. In the block
universe, everything across all of space AND TIME appeared and
everything is frozen in place - forever. Nothing is moving around.
Instead, our consciousness is moving through the block universe and this
gives us the appearance that things are moving around. The Big Bang
is still back there at the beginning of our time. It was fairly
easy for people to accept the Big Bang because it fit in nicely with
the 19th century idea that there are all these particles flying
around, the past is gone, only the present exists and the future is not
``out there" yet. The block universe has been more difficult for people to
accept because it radically alters our understanding of the
universe. But both ideas came from the same scientific theory,
they both came from general relativity.
Quotes, Links and Comments
Early on in his book, on pages 26 and 27, he writes about how, when he first
encountered the idea, he could not accept it. In the quote, below Petkov talks
about it as Minkowski's view of the world:
Let me assure you that I am perfectly aware of how difficult it is
to accept and especially to adopt Minkowski's totally
counter-intuitive view of the world. When I first realized its huge
implications for virtually all areas of our life ... my reaction was
perhaps similar to the reaction of a lot of you - the world could
not be that idiotic ... . However, instead of throwing out all my
books on relativity and hoping that my refusal to accept that view
would make it wrong, I chose to follow the path of the scientific
method. As like anyone else in the scientific field, I also
recognize the experimental evidence as the ultimate judge and the
only authority in science, I started to analyze the experiments
which confirmed the relativistic effects with the firm intention to
disprove Minkowski's view (i.e., the spacetime view of the world).
But the analysis did not produce the results I was sure they would
produce. Quite the opposite - it turned out that those experiments
would be impossible if Minkowski's view were wrong, i.e., if the
world were three-dimensional. After repeating those analyses,
finally I asked myself - If the world is indeed a four-dimensional
block ('frozen') universe, what should I do? Deny Minkowski's view
(which is proved by the experimental evidence) simply because I do
not like it?
Besides his fine explanation of the block universe, he agrees
with me on a number of important issues. If you don't think I am
credible by proposing these ideas then listen to him and the people
he quotes! First up is the existence of a Creator. Petkov says
this on page 129:
The presentist view of the world pictures it as an evolving universe
which, according to science, does not need a creator. On the
spacetime view, however, the world is a block universe - the entire
history of the world is given at once (as a whole - en bloc)
since all moments of time exist as the "points" of the fourth
dimension of the world (exactly as all points of any of the three
spatial dimensions exist at once). It may not be seen immediately,
but a block universe implies that it was created.
Petkov goes on to explain why the block universe must have a Creator and the
reasoning is obvious: the universe is just too complicated for it to have
happened by chance. Here is what he had to say:
To see the challenge more clearly, consider the life of a single person, e.g. a
very creative and productive movie script writer. Her entire life, with the
smallest and even insignificant details, is given at once in the block
universe. I doubt that anyone would be able to argue seriously that the
'script' of her life - her four-dimensional worldtube containing all events in
her life (coordinated with the events of other people's lives), including the
elaborated ideas of her fantastic movie scripts - occurred spontaneously.
First, nothing can occur or happen in a block universe since time is entirely
given there. Second, it looks utterly inexplicable how the enormous complexity
captured even in a single person's worldtube can come into existence
spontaneously. I think just one element of the movie script writer's life is
sufficient to rule out the idea that her entire life occurred spontaneously -
the very existence of intentions in her actions (although not all intentions
are realized) revealed at later events of her worldtube. That is, how can a
worldtube occur spontaneously given the fact that each part of the worldtube
(corresponding to a given moment of time) contains intentions about its parts
corresponding to later moments? It appears logical to assume that the gigantic
'world script' (the entire history of the universe) must be created. Perhaps
taking seriously this assumption fully reveals what a challenge the spacetime
view of the world is. I think it is sufficient to mention only two questions -
who created it and how can a block universe be created given the fact that all
moments of time are given at once. It is true that, formally, a block universe
can be created in a second time. As the existing experimental evidence does
not provide even the slightest hint of another time, I prefer to stop here.
Then, notice something else Petkov said in that quote:
Perhaps taking seriously this assumption fully reveals what a
challenge the spacetime view of the world is. I think it is
sufficient to mention only two questions - who created it and how
can the block universe be created given the fact that all moments of
time are given at once. It is true that formally, a block universe
can be created in a second time. As the existing experimental
evidence does not provide even the slightest hint of another time, I
prefer to stop here.
In my analysis of Genesis chapter 1
I showed how the text could be interpreted to mean that each "day"
of creation took place in a second dimension of time. I asked
Petkov in an email where the idea that the block universe could have
been created along a second dimension of time came from. This is what he
said:
The idea that a block universe can be created in a second time came
about more than ten years ago in some of the classes on the
foundations of spacetime physics - students always asked whether
there is a way out of the fatalism of a block universe.
By fatalism, he means that there is no free will. You can't change your fate
any more than a character in a book of fiction can change their fate.
Because the entire block universe (with the future) has been fixed
in advance, Petkov and others have concluded that we have no free
will. Instead, we are simply passive observers of what is going on
in the world. I have to disagree with this. Consciousness is from
our soul and while the block universe of matter is fixed, it does
not mean that our soul is not free. Of course, in order for God to
build the block universe with free will, God would have to know what
we were deciding out there in the future. Of course, basic
Christian thinking is that God does know everything, including what
we will be thinking and deciding (have decided) in the future.
In his book,
The Fabric of the Cosmos: Space, Time and the Texture of Reality,
physicist Brian Greene, doesn't use the term
block universe, instead he compares the block universe to a loaf of bread:
...then reality encompasses all the events in spacetime. The
total loaf exists. Just as we envision all of space as
really being out there, as
really existing, we should
envision all of time as
really being out there, as
really existing too. Past, present, and future certainly
appear to be distinct entities. But, as Einstein once said
"For we convinced physicists the distinction between past, present,
and future is only an illusion however persistent."
1
Greene continues on and says this:
In this way of thinking, events, regardless of when they happen from
any particular perspective, just
are. They all exist. They
eternally occupy their point in spacetime. There is no flow. If
you were having a great time at the stroke of midnight on New Year's
Eve, 1999, you still are, since that is just one immutable location
in spacetime. It is tough to accept this description, since our
world view so forcefully distinguishes between past, present, and
future. But if we stare intently at this familiar temporal scheme
and confront it with the cold, hard facts of modern physics, its
only place of refuge seems to lie within the human mind.
2
And of course, the reason it looks like things are moving around is
because our consciousness is moving through the block universe. And
Greene thinks so too. In the following where he says "our conscious
experience seems to sweep through the slices", he could just as well
have said "as our consciousness moves through the block universe":
Undeniably, our conscious experience seems to sweep through the
slices. It is as though our minds provide the projector light
referred to earlier, so that moments of time come to life when they
are illuminated by the power of consciousness.
3
Of course I will say that it is our soul that is moving through the
block universe. So we have proof for a human soul. This projector
light idea is also referred to as the moving spotlight theory.
Also in Greene's book, there is this helpful, if mind-boggling
example, that shows that the past, present and future are all out
there at once. Greene takes the case of a being named Chewie, in a
galaxy far, far away, in fact 10 billion light years away. If
Chewie is not moving relative to the Earth, Chewie will see what is
happening "now" on the Earth, although it will take 10 billion years
for the light to reach him. But if Chewie is moving away from the
Earth at 10 miles per hour (Greene says he has a big stride) Chewie
will see what happened 150 years ago. If Chewie is moving toward
the Earth at 10 miles per hour he will see what will happen 150
years in the future. Notice that if Chewie first moves toward the Earth
and then moves away from the Earth, Chewie will see our future and then
see our past. For us, that's in the ``wrong" order!
Next, there is a physicist in the UK, Edgar Andrews, who has written a
very nice, very entertaining, down-to-earth book called Who Made
God?: Searching for a Theory of Everything. In chapter 8 he
says this:
This implies, of course, the intriguing concept that all time still
exists. In the three dimensions of space, I can travel from
London to Manchester and onwards to Glasgow. In terms of my
experience, once I reach Manchester, London lies in the past
and Glasgow in the future. But this doesn't mean that London has
stopped existing or that Glasgow is still a green-field site. So
with time. The fact that we are confined to 'now' and can visit
neither yesterday nor tomorrow, doesn't mean that yesterday has
ceased to exist or tomorrow doesn't yet exist. It is, in fact, one
of the inevitable conclusions of relativity theory that the
whole of space-time must have a real and continuing existence
- regardless of our perception of time as being divided into past,
present and future. If you doubt my word, physicist Brian Greene
sets out detailed arguments to prove this and concludes: 'Just as
we envision all of space as
really existing, we should also
envision all of time as
really being out there, as
really existing, too' (his italics). The biblical idea that
God surveys all time is therefore predictive of what has only
recently become apparent to science.
4
I would say, however, that this result has been apparent to science
for around 100 years, so it is not really recent. But of course it
has only recently started to get the attention that it deserves.
Notice that his trip around the UK is the equivalent of my Haunted
Mansion ride.
Next up, here is a quote by Professor James
Woodward in his online article, "Killing Time" where he quotes a
physicist, Hermann Weyl:
... one is led from the absence of absolute simultaneity to the
view, that in Weyl's [1949] words, "Reality simply is, it does not
happen" That is, the past, present, and future all
objectively exist. It is all fixed.
5
Woodward is quoting Weyl from Weyl's book:
Philosophy of Mathematics and Natural
Science.
6
Here are a couple more quotes from Hermann Weyl, first from:
Philosophy of Mathematics and Natural Science
(Princeton University Press, Princeton 2009) p. 116:
The objective world simply is , it does not happen. Only to the
gaze of my consciousness, crawling upward along the life line of
my body, does a section of this world come to life as a fleeting
image in space which continuously changes in time.
This is saying your consciousness is moving through the block
universe.
Then from Mind and Nature: Selected Writings on Philosophy,
Mathematics, and Physics (Princeton University Press, Princeton
2009) p. 135, there is this:
The objective world merely exists, it does not happen; as a whole it
has no history. Only before the eye of the consciousness climbing
up in the world line of my body, a section of this world "comes to
life" and moves past it as a spatial image engaged in temporal
transformation.
Here is a quote from A. S. Eddington, in Space, Time and
Gravitation: An Outline of the General Relativity Theory
(Cambridge University Press, Cambridge 1920), p. 51:
In a perfectly determinate scheme the past and future may be
regarded as lying mapped out - as much available to present
exploration as the distant parts of space. Events do not happen;
they are just there, and we come across them.
Then there is a paper by physicists J. Brian Pitts and W. C.
Schieve. Recall that to say that the universe is a block universe
is to say that the whole universe, past, present and
future simply exists, it simply is. Or you can say that the whole
universe is superdetermined. So here is what the authors
have to say about superdeterminism:
One also knows that the experiments violating the Bell inequalities
are compatible with the orthodox relativity if one is prepared to
embrace "superdeterminism" ... .
However, this view's demanding philosophical underpinnings, such as
its denial of (libertarian) free will and evident need for an
all-determining Agent to correlate the initial conditions of the
world, might limit its appeal ...
7
That "all-determining Agent" would be God and as they say, this view
"might limit its appeal". :-) They also say:
On the other hand, the 3 major monotheistic traditions all have
(or had) strands that affirm theological determinism: Pharisaic
Judaism [55], Reformed/Calvinist Christianity, and Islam. That
there might be a natural affinity here is suggested by the language
(e.g., ([47]) about events being "already 'written in a book'." The
resemblance to Psalm 139:16 (NASB) cannot be accidental:
2
Thine eyes have seen my unformed substance;
And in Thy book they were all written,
The days that were ordained for me,
When as yet there was not one of them.
8
Here is a quote of physicist Robert Geroch on the blockworld taken
from the paper "Reconciling Spacetime and the Quantum: Relational
Blockworld and the Quantum Liar Paradox", by physicists Stuckey,
Silberstein and Cifone:
There is no dynamics within space-time itself: nothing ever moves
therein; nothing happens; nothing changes. In particular, one does
not think of particles as moving through space-time, or as following
along their world-lines. Rather, particles are just in space-time,
once and for all, and the world-line represents, all at once, the
complete life history of the particle.
9
In that paper, the authors go on to say this:
When Geroch says that "there is no dynamics within space-time
itself," he is not denying that the mosaic of the blockworld
possesses patterns that can be described with dynamical laws. Nor is
he denying the predictive and explanatory value of such laws.
Rather, given the reality of all events in a blockworld, dynamics
are not "event factories" that bring heretofore non-existent events
(such as measurement outcomes) into being. Dynamical laws are not
brute unexplained explainers that "produce" events. Geroch is
advocating for what philosophers call Humeanism about laws. Namely,
the claim is that dynamical laws are descriptions of regularities
and not the brute explanation for such regularities. His point is
that in a blockworld, Humeanism about laws is an obvious position to
take because everything is just "there" from a "God's eye"
(Archimedean) point of view. That is, all events past, present and
future are equally "real" in a blockworld.
10
There is another mind-boggling subject in modern physics called
quantum mechanics. It appears to be even more crazy than special
relativity and physicists have come up with many different ways to
interpret what is going on. A very recent one is called the
relational blockworld interpretation of quantum mechanics
(RBW). It is radical in that it starts with the block universe concept.
A description of this interpretation can be found in some rather
advanced physics papers. These papers do, however, include
"islands" of fairly plain English that ordinary science-minded
people can understand.
31.
11
Thus, in the dynamical universe, the initial conditions plus the
dynamical laws explain everything else going exclusively forward in
time. In cosmology, for example, the initial conditions reside in
the Big Bang and the dynamical law is supplied by general
relativity. Accordingly, the present state of the universe is
explained exclusively by its past. This book offers a completely new
paradigm (called Relational Blockworld), whereby the past, present
and future co-determine each other via "adynamical global
constraints," such as the least action principle. Accordingly, the
future is just as important for explaining the present as is the
past. Most of the book is devoted to showing how Relational
Blockworld resolves many of the current conundrums of both
theoretical physics and foundations of physics, including the
mystery of time as experienced and how that experience relates to
the block universe.
The proponents of the relational blockworld
interpretation of quantum mechanics and the book,
Beyond the
Dynamical Universe have a series of 10 short videos on the
subject. Here is the first of them:
Beyond the
Dynamical Universe. Episode 1: Mermin Over Smolin: Quantum Mechanics
is Right. For more at youtube, just type in "Beyond the
Dynamical Universe". And they have a website for their book:
RBW - Relational
Blockworld. BTW, these guys avoid all mention of religion, so
you can't accuse them of being religious zealots. But when you
understand their stuff, you can figure out the consequences.
One of the physicists behind the relational blockworld
interpretation of quantum mechanics is Mark Stuckey and at Oxford
University Press, they have this little page,
Ascending
to the god's-eye view of reality where he urges physicists to
adopt the block universe view. (It's there to promote the book,
mentioned above, that he co-authored.)
For a discussion of the block universe and time and space generally by
philosophers, see the book
Time and Space
12
by Barry Dainton. Here is an interesting quote about the creation of
a block universe:
Imagine that I am a God-like being who has decided to design and
then create a logically consistent universe with laws of nature
similar to those that obtain in our universe...Since the universe
will be of the block-variety I will have to create it as a whole:
the beginning, middle and end will come into being together...Well,
assume that our universe is a static block, even if it never 'came
into being', it nonetheless exists (timelessly) as a coherent whole,
containing a globally consistent spread of events.
13
Physicist Max Tegmark talks about time in
this
little article from the Express. The article mentions
another physicist, Julian Barbour. Barbour has written a book
called
The End of Time that contains a similar idea.
Here is another scientist who backs the block universe concept. It
comes from the book, Hidden in Plain Sight 1 by Andrew
Thomas. I picked it up for 99 cents as an ebook at Amazon. Chapter 5
is entitled "The Block Universe". Here's a little quote:
...first it has to be stressed that accepting the reality of the
block universe is not an option. To disregard the implications of
the block universe is not only to ignore the conclusions of special
relativity, it is to ignore basic logic.
14
Inside the Andrew Thomas book he mentions how he:
first became aware of the full, extraordinary implications of the
block universe model in 2006 when I read a superb
Scientific
American article by Paul Davies entitled
That Mysterious Flow. I suspect that for a lot people - not
just me - the article was a revelation.
15
Presentism and eternalism are discussed in the context of Christian
theology in this series of three web pages:
In a little kindle ebook called
The Time Illusion by
astrophysicist John Gribbin, near location 379, Gribbin says:
The Universe does not change, but it exists, as a fixed block of
spacetime that contains all the things that have ever happened, and
all the things that ever will happen. The flow of time is an
illusion.
Here is a quirky 11 minute video I found that talks about the block
universe (without actually using the words, "block universe"):
The Andromeda
Paradox - When is "Now"?. The Andromeda Paradox comes from
well-known physicist, Roger Penrose.
The Critics
In science, we find paradigm shifts. These are major changes about
what we believe about the world. One paradigm shift was the idea
that the Earth went around the sun. The "old guard" believed the
Earth was the center of the universe and the sun moved around the
Earth. In time, the facts prevailed and we got a new idea about how
the sun and the Earth are related. Then it wasn't too long ago that
everyone thought that the continents were frozen in place. They did
not move. In time, the facts prevailed. In the beginning, the
establishment "old guard" resists. They think they understand
something pretty well and they could never be wrong because they are
so smart and so knowledgeable (this is pride). In the end, the
facts prevail. The "old guard" dies off. The new paradigm takes
its place, the old one is discarded. People then regard the new
paradigm as obviously true. Someone said,
``Physics advances one funeral at a time".
So it is not surprising that there are physicists who don't like the
block universe idea. So I have started a collection of articles by
the critics. In the following collection of articles, notice they
are desperate to cling to the old view of presentism. This is an
implicit acknowledgment that the block universe is the leading
model of the world.
As far as I can tell, Lee Smolin is a leading critic. I saw a video,
A New
Theory of Time - Lee Smolin, where he said he is committed to
philosophical "naturalism". This means he is only willing to accept
the existence of the physical world. No mental world. No spiritual
world. That is his starting point, so it is no suprise that he does not
like the block universe idea. Instead, he is trying to fix the
situation by putting together a new theory of time. I ran into a
little article on the net that mentions him and it is kind of nice,
see:
The Incredible Truth About Time by Robert Matthews. In it,
Matthews wrote:
Smolin is under no illusions about what he's taking on. "The
scientific case for time being an illusion is formidable," he says.
Note that word, FORMIDABLE. This means he knows that the block
universe has strong experimental evidence to support it.
Later on in the article, Matthews writes something about another
interesting result from modern physics that supports the idea of
time being an illusion:
In the mid-1960s, the American theorist John Wheeler and his
collaborator Bryce DeWitt decided to see what insights might emerge
from applying the most successful theory in all science - quantum
theory - to the cosmos. Most often applied to the sub-atomic world,
quantum theory can - in principle at least - be applied to
everything, even the large-scale workings of the Universe.
Wheeler and DeWitt succeeded in producing a nightmarishly complex
equation that, according to quantum theory, captures the true nature
of the Universe. But the equation spawned a shocking insight. Of all
the quantities it contained, one that everyone expected it to
include had simply vanished: 't' for time. "According to the
Wheeler-DeWitt equation, the quantum state of the Universe is just
frozen," says Smolin. "The quantum Universe is a Universe without
change. It just simply is."
Farther on in the article, Matthews says this about physicist Julian
Barbour's approach:
Unlike Smolin, Barbour insists the Wheeler-DeWitt equation's
implication for time cannot be dismissed. He argues that the
Universe is really a vast, static array of 'nows', like frames on
some cosmic movie-reel. At any given moment, or 'now', time does not
need to be factored in to explanations of how the Universe works.
The sense of time passing comes from our minds processing each of
these frames - or 'time capsules', as Barbour calls them. Time
itself, however, doesn't exist.
Finally, towards the end of the article, Matthews says this about
Smolin's argument:
Smolin is thus suggesting that our very existence may be evidence
for cosmic evolution. And since evolution can only happen over time,
that in turn suggests time is real. It's an astonishing line of
argument for the reality of time - and one that doesn't convince
everyone. "I find these ideas very speculative - to say the least,"
says theorist Prof Claus Kiefer of the University of Cologne in
Germany. He doubts even the starting point for Smolin's argument for
the reality of time: "There is no evidence whatsoever that new
universes are born inside black holes."
Here is a report on a conference sponsored by an organization that
Smolin belongs to, the Perimeter Institute:
A Debate Over the Physics of Time
Several alternative models of time were presented but here is a nice
little quote from the article:
In the face of these competing models, many thinkers seem to have
stopped worrying and learned to love (or at least tolerate) the
block universe.
REFERENCES
1.
Brian Greene,
Vintage Books, 2004, p139.
The Fabric of the Cosmos: Space, Time and the Texture of Reality,
.
2.
Brian Greene,
Vintage Books, 2004, p139.
The Fabric of the Cosmos: Space, Time and the Texture of Reality,
.
3.
Brian Greene,
Vintage Books, 2004, p139.
The Fabric of the Cosmos: Space, Time and the Texture of Reality,
.
4.
Andrews, Edgar, Who Made God?: Searching for a Theory of
Everything, EP Books, Faverdale North, Darlington, DL30PH,
England, 2009.
(accessed November 22, 2016).
(I don't have a physical book so I can't give you a page number. In
a Kindle, look starting around location 1761.)
5.
Woodward, James,
"Killing Time",
Foundations of Physics Letters, VoL 9, No. 1, 1996, See also:
KILLING TIME, p3.
(accessed September 7, 2018)
6.
Weyl, H., Philosophy of Mathematics and Natural
Science, Princeton University Press, Princeton, 1949 and 2009,
http://www.amazon.com/Philosophy-Mathematics-Natural-Science-Hermann/dp/0691141207"
7.
Pitts, J. Brian, Schieve, W.C., February 5, 2008,
"Flat Spacetime Gravitation with a Preferred Foliation",
http://arxiv.org/pdf/gr-qc/0101099v1.pdf
(accessed November 6, 2016)
8.
Pitts, J. Brian, Schieve, W.C., February 5,2008,
"Flat Spacetime Gravitation with a Preferred Foliation",
http://arxiv.org/pdf/gr-qc/0101099v1.pdf
(accessed November 6, 2016)
9.
Geroch, Robert,
General Relativity from A to B,
University of Chicago Press,
1978.
http://www.amazon.com/General-Relativity-B-Robert-Geroch/dp/0226288641.
10.
Stuckey, W.M., Silberstein, Michael, Cifone, Michael, April 2008,
"Reconciling Spacetime and the Quantum: Relational Blockworld and
the Quantum Liar Paradox", Foundations of Physics, Springer,
Volume 38, Number 4, April, 2008, pp348-383,
http://philsci-archive.pitt.edu/3776/1/RBW_FoP_Final_Version_07.pdf,
p7.
(accessed November 6, 2016)
11.
"Deflating Quantum Mysteries Via the Relational Blockworld",
http://arxiv.org/pdf/quant-ph/0503065v3.pdf, by
Stucky, W.M., Silberstein, Michael, Cifone, Michael, October 28, 2005,
(accessed November 6, 2016).
REVERSING THE ARROW OF EXPLANATION IN THE RELATIONAL BLOCKWORLD:
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