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The
History of Hyperspace
For those who believed in God, there must be a fourth dimension
.
.The fourth dimension was obviously time. Space and time are part of an integrated whole-what we call the "space-time" continuum." God is Spirit and spirit is fundamentally different from matter. Beyond our amazing physical world is yet another realm where different laws apply and where time flows at a different pace. Our knowledge and understanding of the physical world comes through the scientific method, which is based both on observations and on mathematical models that can be tested and verified by measurements and experiments. The spiritual world is something we know about by personal revelation from our God.
Physics and the
Bible
by
Lambert Dolphin
Lambert
Dolphin, Physicist Website
Born into this world with two eyes, two
ears, two arms, two legs and a wonderful data-crunching computer system in both
halves of our brains, we humans develop a perception of space as small infants.
We do not have to be told that the world we
live in has three dimensions: length, width, and height. It is almost
intuitively obvious.
The Greek philosopher Euclid (330-275 B.C.)
put this down in a mathematical format we now call plane geometry-which ruled
the world for the next 2000 years-almost like a religion!
In grade school we all learned that the
angles of a triangle must add up to 180 degrees, and that a straight line is
the shortest distance between two points.
A line had one dimension, a square had two,
and a cube, three. Beyond that it was, for centuries, thought impossible for
more dimensions to exist.
Aristotle and Ptolemy added their weight to
Euclid by "proving" that any more than three dimensions was
"impossible."
But of course for those who believed in
God, there must be a fourth dimension.
God would surely live there, thus He could
watch everything that was happening in our 3-D world.
Medieval art even accommodated this
orthodoxy-paintings were flattened and two dimensional so the viewer could
(sort of) see the world as God sees it.
Until the middle of the last century there
was not much talk of a possible Fourth Dimension.
But a sickly, brilliant mathematician-the
second of six children born to a poor Lutheran pastor-Bernhard Riemann
(1826-1866) blew the world apart when he proved mathematically that more than
three dimensions were not only possible but also highly likely.
In a brilliant lecture on June 10, 1854
this shy, mentally unstable young man toppled the Euclidean world order once
and for all.
The
Math of Hyperspace
Riemann had discovered what we now called
"field theory," which connects forces in the universe with the
geometry of space.
The Pythagorean Theorem from the Greeks had
shown that in a two-dimensional world where a and b are the short sides of a
triangle and c is the hypotenuse, then a2 + b2 = c2.
For a cube which had sides a, b, and c, the
diagonal, d, inside the cube, crossing from one corner to another was given by
a2 + b2 + c2 = d2.
Well, it did not stop there, because from
purely mathematical considerations Riemann could imagine an N-dimensional cube
whose diagonal, z, was simply given by a formula with N terms on the left side,
a2 + b2 + c2 + .... = z2.
The math was easy, the implications were
world-shaking.
As originally conceived, the "fourth
dimension" was an additional spatial dimension, and not the fourth
dimension now called "time."
It was Einstein who stumbled upon Riemann's
pioneering work and in 1905 put 3 plus 1 together and realized that material
objects not only have length, width, and height, but they also endure in time.
The fourth dimension was obviously time!
Newton's physics had imagined an absolute
clock somewhere in the universe that kept the time for all bodies large and
small, whether at rest or in motion.
So strongly embedded were the old views
that the average person on the street has not yet grasped the radical nature of
Einstein's revolution.
But now it is clear that space and time are
part of an integrated whole-what we call the "space-time"
continuum."
Time as well as space can be bent, shrunk
or expanded-as can the other three dimensions of the world we live.
But if few ordinary people grasp what Einstein
had to tell us, Riemann's revolution has had an even greater, lasting effect on
physics.
However, to talk about time as the fourth
dimension is to jump over 50 years of fascinating history before 1905, when the
obscure little man in the Swiss patent office changed the known world all over
again.
Riemann's 1854 lecture was an instant
success. The world was not flat and it was not necessarily even limited to
three dimensions-there might be four-or even more!
God was now crowded up into the higher
levels of newly discovered "hyperspace."
Riemann had been friends with Wilhelm
Weber, who was experimenting with electric sparks, magnets and flowing
currents-so Faraday and then Maxwell were ready to apply Riemann's work to what
became the very successful model we now call "electromagnetic
theory."
James Clerk Maxwell, for instance, showed
that moving electric charges constitute what we call current flow and flowing
currents produce magnetic fields.
Light waves, radio waves, and x-rays all
"obey" Maxwell's elegant equations: (Diagram 1)
The first equation says that electric lines
of force begin and end on charges (such as electrons).
The third equation tells us that there are
(apparently) no magnetic monopoles-magnetic lines are closed loops.
The second and fourth equations are vector
equations actually representing three equations each, and they tell us how
electric and magnetic fields are related to one another.
Maxwell's four equations are actually
eight.
However if one adopts the mathematics of
Riemann space, all eight equations can be written in the following form, called
"tensor notation":
Fv = Av - vA
Fv = jv
The second equation says it all!
It is this ability of Riemann geometry to
simplify physics that is so appealing to scientists who always prefer elegance,
beauty, symmetry and simplicity when attempting to explain the physical world.
Introducing more dimensions, even though
they can not be seen or directly measured, improves our ability to understand
how the world works.
Georg Bernhard Riemann took ordinary
"flat" geometry and crumpled it up, making spherical space which was
positively curved, or saddle-shaped space with negative curvature.
All this could now be beautifully described
in the new short hand of tensors.
Whole systems of simultaneous differential
equations involving many dimensions could be written down and manipulated with
ease.
Riemann showed that spaces could be
multiply connected, as shown below.
A small bug living in the flat world of the
top sheet of paper could hypothetically encounter a "Riemann slit" in
the fabric of his known world and inadvertently cross over into a
"parallel" universe.
A strange cast of characters seized upon
Riemann's ideas soon after his famous lecture.
American psychic Henry Slade achieved
notoriety in 1877 when Leipzig physics professor Johann Zollner rushed to the
former's defense of magic parlor tricks and ghosts by claiming that what was
impossible in our ordinary three-dimensional world was readily possible if a
fourth dimension were added.
Unfortunately, the ensuing uproar led more
to popular turn-of-the-century science fiction, and an impetus for ESP and
psychic research which continues to this day-more than to legitimate
applications in physics.
The greatest applications of Riemann's new
geometry to physics had to wait half a century for Einstein and his successors.
"Flatland"
In 1884 the Christian headmaster of the
City of London School, Edwin Abbott, wrote a wonderful novel about creatures
who lived in an imaginary world called "Flatland."
It was now immediately easy for ordinary
people like you and me to imagine what it would be like living in a two
dimensional world-on a flat sheet of paper-with occasional intrusions of
"beings" from a higher three-dimensional "hyperspace."
Even more fantastic science fiction now
unfolded into being overnight and by the turn of the century the common man's
perception of his world would never be the same.
If four dimensions are not only possible,
but now certain, why not 5 or 10 or 26 dimensions?
Indeed, if we jump from Einstein to the
present time, that is precisely what has happened in modern physics.
All this has taken place because
introducing (mathematically) additional dimensions to the physical world
"unifies" the laws, forces and fields of physics, and leads (usually)
to simpler and more "elegant" ways of looking at the universe in
which we live.
Discussion of hyperspace rapidly became
very complex after Einstein-we must save that for another article. But let us
note several things: It is indeed quite likely that the physical, material
world we live in has many more than four dimensions.
Ten is a reasonable number to make our
physics simple.
Discussion of hyperspace still leaves the
issue of where God now lives, since he was long ago excluded from the
"fourth" dimension.
Unfortunately some modern Christian
apologists have implied that God is merely a higher-dimensional being, a cosmic
giant who pokes his fingers into our world from time to time, alarming us with
visions or miracles which we cannot fully understand.
Is God a super being from another
dimension?
I don't mean to imply that miracles,
visions and UFO intrusions from higher dimensions do not occur!
They most certainly occur and I believe
they are all real extra-dimensional happenings.
The point is: God is not made of matter, He
is Spirit and spirit is something fundamentally different from matter.
There is an
all-important point to keep in mind in our discussions of modern physics and
that is that "God is a Spirit and
those who worship Him must worship Him in spirit and in truth." (John 4:24)
Spirit is not the same thing as matter!
We can talk endlessly about matter/energy,
space and time in the created material world, but that still leaves a higher
realm of God and his angels.
Who are they and where do they live?
What are the unseen worlds they inhabit?
Beyond our amazing physical world is yet
another realm where different laws apply and where time flows at a different
pace.
To talk first of matter and now of spirit
is also to go beyond the scope of this short introductory article.
Suffice it to say, our knowledge and
understanding of the physical world comes through the scientific method, which
is based both on observations and on mathematical models that can be tested and
verified by measurements and experiments.
The spiritual world is something we know
about by personal revelation from our God.
Most marvelous of all, God has created man
to live simultaneously in the material and in the spiritual world.
He wants us to be at home in two worlds-he
wants us in His training program designed to prepare us for an amazing greater
world which is to come.
The opening of doors for us to enter into
other worlds was accomplished by the sacrificial work of Jesus Christ on the
Cross-we live in a moral universe, and much more than physics is involved in
the superhyperspace the Bible calls the "heavens."
"Since we have the same spirit of faith as he had
who wrote, 'I believed, and so I spoke,' we too believe, and so we speak,
knowing that he who raised the Lord Jesus will raise us also with Jesus and
bring us with you into his presence.
“For it is all for your sake, so that as grace extends
to more and more people it may increase thanksgiving, to the glory of God. So
we do not lose heart. Though our outer nature is wasting away, our inner nature
is being renewed every day.
“For this slight momentary affliction is preparing for
us an eternal weight of glory beyond all comparison, because we look not to the
things that are seen but to the things that are unseen; for the things that are
seen are transient, but the things that are unseen are eternal." - 2 Corinthians
4:13-18
Lambert Dolphin's Place
From time to time I write, and rewrite,
short studies based on my understanding of the Bible. These thoughts are not
the last word on a subject, but often just working papers that are incomplete
or sketchy. You are welcome to quote from, or use, these essays--but please
reference the source. Your email is most welcome. The Library is where most
everything is located.
https://www.khouse.org/articles/1997/29/
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