astro
02-12-2006, 11:47 AM
http://groups.google.com/group/sci.physics/browse_frm/thread/09dd153303769410/c545ed2c247202ab?hl=en#c545ed2c247202ab
http://physicsmathforums.com/
Godel's Block Universe Paradox Resolved
In 1949 Godel published a paper showing that within the theory of
relativity, time as we understand it, does not exist. Einstein
recognized Godel's paper as "an important contribution to the general
theory of relativity," and since then physicists have not been able to
find any logical shortcomings in Godel's work, and nobody has been able
to account for the existence of time. But the Theory of Moving
Dimensions accounts for time as we know it by showing that it is an
emergent property of the underlying dimension's intrinsic relative
movement.
Godel wrote, "By making a round trip on a rocket ship in a sufficiently
wide course, it is possible in these worlds to travel into any region
of the past, present, and future, and back again, exactly as it is
possible in other worlds to travel to distant parts of space. This
state of affairs seems to imply an absurdity. For it enables one to
travel into the near past of those places where he himself lived. There
he would find a person who would be himself at some earlier period of
life. Now he could do something to this person, which, by his memory,
he knows has not happened to him."
Kaku writes, "Kurt Godel's essay constitutes, in my opinion, an
important contribution to the general theory of relativity, especially
to the analysis of the concept of time. The problem here involved
disturbed me already at the time of the building up of the general
theory of relativity, without my having succeeded in clarifying it...
The distinction "earlier-later" is abandoned for world-points which lie
far apart in a cosmological sense, and those paradoxes, regarding the
direction of the causal connection, arise, of which Mr. Godel has
spoken. . . It will be interesting to weigh whether these are not to be
excluded on physical grounds." -Michio Kaku
The mistake Einstein made in his formulation was confusing time itself
with the fourth dimension. Time is an emergent property that we witness
because of the fourth dimension expanding relative to the three spatial
dimensions, and because it thus inherits properties of a dimension, it
is all too tempting for physicists to refer to time as a dimension.
Time travel is impossible both in reality and Moving Dimensions theory,
though I encourage prominent physicists to keep on writing books about
time machines and bookstores to stock them in the science-fiction
sections.
Time arises from the interaction of the expanding fourth dimension with
the three spatial dimensions, but many physicists mistakenly labeled
the fourth dimension as the time dimension.
A lot of confusion has arisen by from this mislabeling coupled with the
physicists' tendency to over-extend metaphors. As soon as physicists
mistakenly labeled the fourth dimension the time dimension, they were
eager to see it as an entity analogous to the three spatial dimensions,
where one can get from any point to any other point.
But time is an emergent property deriving from the expansion of a
single spatial dimension relative to the three other stationary spatial
dimensions. The fourth dimension expands in units of the Planck length
at the rate of c, so in a sense the fourth dimension is only ever
Planck's length deep to all macroscopic objects. Only a photon can
exist in this dimension, orthogonal to the three dimensions, and at
that point a photon is matter surfing the expanding dimension. Huygen's
principle demonstrates that every point along a spherically symmetric
wavefront is the source of a spherically symmetric wave, and so it is
with a photon. This is because every point in space-time is the source
of a spherically symmetric expansion of the fourth dimension relative
to the three stationary dimensions.
Time travel to any significant degree is impossible because the time
dimension never reaches deeper than Planck's length. You could only go
back in time by Planck's time, which wouldn't be very useful!
Physicists enjoy viewing the time dimension on equal footing with the
spatial dimensions. After all, they say it is just another a
"dimension" that just happens to have a minus sign infront of it in the
space-time metric. But they never seek to explain the minus sign.
Instead they rush straight ahead into all their ridiculous notions of
time travel, stating that just as we can get from any point A to any
point B in space, we can get from any point A to any point B in time.
But time travel has never been accomplished, nor will it ever be.
Physicists were right in recognizing that time is a dimension, but they
fell short in recognizing that it was different from the three spatial
dimensions in that it is expanding at the rate of c relative to the
three spatial dimensions.
The notion of past, present, and future is more related to the change
of energy than it is to the actual existence of a physical past, a
physical present, and a physical future. Only the present ever exists,
and the past is what is recorded in our minds-it exists nowhere else.
But because time is a dimension, physicists were seduced into believing
one could travel anywhere within it. But in reality we never get any
further than Planck's length deep in time, and it is at that depth
that photons surf through the universe, while electrons oscillate, and
out bodies maintain their average position firmly in the three spatial
dimensions as the time dimension expands relentlessly about us in units
of Planck's length.
"For Godel, if there is time travel, there isn't time. The goal of the
great logician was not to make room in physics for one's favorite
episode of Star Trek, but rather to demonstrate that if one follows the
logic of relativity further even than its father was willing to
venture, the results will not just illuminate but eliminate the reality
of time." -A World Without Time, Palle Yourgrau
Unification of QM and Relativity
Relativity becomes increasingly exact at long-length scales but fails
at short ones because space-time itself is quantized, as the time
dimension is expanding in units of the Planck length. The concept of
general relativity's smooth geometry, at large scales, disappears on
short-distance scales-this has been a problem to string theorists, but
only because they were never bold enough to recognize that's the way it
is because that's the way it is-GR does not break down at distances
smaller than the Planck length because such distances do not exist with
any degree of certainty. The fourth dimension is expanding relative to
the three spatial dimensions in units of the Planck length, and thus
distances smaller than the Planck length cannot be measured nor
defined.
In An Elegant Universe, Brian Greene writes, "Recall that the problem
in merging general relativity and quantum mechanics turns up when the
central tenet of the former-that space and time constitute a smoothly
curving geometrical structure-confronts the essential feature of the
latter-that everything in the universe, including the fabric of space
and time, undergoes quantum fluctuations that become increasingly
turbulent when probed on smaller and smaller distance scales. On
sub-Planck-scale distances, the quantum undulations are so violent that
they destroy the notion of a smoothly curving geometrical space; this
means that general relativity breaks down."
But general relativity does not break down. It works perfectly well,
holding the planets in their orbits, curving space and time about
massive objects, bending light just so, in accordance with Einstein's
equations.
General relativity does not break down at sub-Planck-scale distances
because such distances do not exist. The fourth dimension is expanding
relative to the three spatial dimensions in units of the Planck length,
and thus all physical measurements and physical definitions are larger
than the Planck length. General relativity need have no fear of ever
breaking down at distances smaller than the Planck length, because such
distances do not exist in the physical world!!
http://physicsmathforums.com/
http://physicsmathforums.com/
Godel's Block Universe Paradox Resolved
In 1949 Godel published a paper showing that within the theory of
relativity, time as we understand it, does not exist. Einstein
recognized Godel's paper as "an important contribution to the general
theory of relativity," and since then physicists have not been able to
find any logical shortcomings in Godel's work, and nobody has been able
to account for the existence of time. But the Theory of Moving
Dimensions accounts for time as we know it by showing that it is an
emergent property of the underlying dimension's intrinsic relative
movement.
Godel wrote, "By making a round trip on a rocket ship in a sufficiently
wide course, it is possible in these worlds to travel into any region
of the past, present, and future, and back again, exactly as it is
possible in other worlds to travel to distant parts of space. This
state of affairs seems to imply an absurdity. For it enables one to
travel into the near past of those places where he himself lived. There
he would find a person who would be himself at some earlier period of
life. Now he could do something to this person, which, by his memory,
he knows has not happened to him."
Kaku writes, "Kurt Godel's essay constitutes, in my opinion, an
important contribution to the general theory of relativity, especially
to the analysis of the concept of time. The problem here involved
disturbed me already at the time of the building up of the general
theory of relativity, without my having succeeded in clarifying it...
The distinction "earlier-later" is abandoned for world-points which lie
far apart in a cosmological sense, and those paradoxes, regarding the
direction of the causal connection, arise, of which Mr. Godel has
spoken. . . It will be interesting to weigh whether these are not to be
excluded on physical grounds." -Michio Kaku
The mistake Einstein made in his formulation was confusing time itself
with the fourth dimension. Time is an emergent property that we witness
because of the fourth dimension expanding relative to the three spatial
dimensions, and because it thus inherits properties of a dimension, it
is all too tempting for physicists to refer to time as a dimension.
Time travel is impossible both in reality and Moving Dimensions theory,
though I encourage prominent physicists to keep on writing books about
time machines and bookstores to stock them in the science-fiction
sections.
Time arises from the interaction of the expanding fourth dimension with
the three spatial dimensions, but many physicists mistakenly labeled
the fourth dimension as the time dimension.
A lot of confusion has arisen by from this mislabeling coupled with the
physicists' tendency to over-extend metaphors. As soon as physicists
mistakenly labeled the fourth dimension the time dimension, they were
eager to see it as an entity analogous to the three spatial dimensions,
where one can get from any point to any other point.
But time is an emergent property deriving from the expansion of a
single spatial dimension relative to the three other stationary spatial
dimensions. The fourth dimension expands in units of the Planck length
at the rate of c, so in a sense the fourth dimension is only ever
Planck's length deep to all macroscopic objects. Only a photon can
exist in this dimension, orthogonal to the three dimensions, and at
that point a photon is matter surfing the expanding dimension. Huygen's
principle demonstrates that every point along a spherically symmetric
wavefront is the source of a spherically symmetric wave, and so it is
with a photon. This is because every point in space-time is the source
of a spherically symmetric expansion of the fourth dimension relative
to the three stationary dimensions.
Time travel to any significant degree is impossible because the time
dimension never reaches deeper than Planck's length. You could only go
back in time by Planck's time, which wouldn't be very useful!
Physicists enjoy viewing the time dimension on equal footing with the
spatial dimensions. After all, they say it is just another a
"dimension" that just happens to have a minus sign infront of it in the
space-time metric. But they never seek to explain the minus sign.
Instead they rush straight ahead into all their ridiculous notions of
time travel, stating that just as we can get from any point A to any
point B in space, we can get from any point A to any point B in time.
But time travel has never been accomplished, nor will it ever be.
Physicists were right in recognizing that time is a dimension, but they
fell short in recognizing that it was different from the three spatial
dimensions in that it is expanding at the rate of c relative to the
three spatial dimensions.
The notion of past, present, and future is more related to the change
of energy than it is to the actual existence of a physical past, a
physical present, and a physical future. Only the present ever exists,
and the past is what is recorded in our minds-it exists nowhere else.
But because time is a dimension, physicists were seduced into believing
one could travel anywhere within it. But in reality we never get any
further than Planck's length deep in time, and it is at that depth
that photons surf through the universe, while electrons oscillate, and
out bodies maintain their average position firmly in the three spatial
dimensions as the time dimension expands relentlessly about us in units
of Planck's length.
"For Godel, if there is time travel, there isn't time. The goal of the
great logician was not to make room in physics for one's favorite
episode of Star Trek, but rather to demonstrate that if one follows the
logic of relativity further even than its father was willing to
venture, the results will not just illuminate but eliminate the reality
of time." -A World Without Time, Palle Yourgrau
Unification of QM and Relativity
Relativity becomes increasingly exact at long-length scales but fails
at short ones because space-time itself is quantized, as the time
dimension is expanding in units of the Planck length. The concept of
general relativity's smooth geometry, at large scales, disappears on
short-distance scales-this has been a problem to string theorists, but
only because they were never bold enough to recognize that's the way it
is because that's the way it is-GR does not break down at distances
smaller than the Planck length because such distances do not exist with
any degree of certainty. The fourth dimension is expanding relative to
the three spatial dimensions in units of the Planck length, and thus
distances smaller than the Planck length cannot be measured nor
defined.
In An Elegant Universe, Brian Greene writes, "Recall that the problem
in merging general relativity and quantum mechanics turns up when the
central tenet of the former-that space and time constitute a smoothly
curving geometrical structure-confronts the essential feature of the
latter-that everything in the universe, including the fabric of space
and time, undergoes quantum fluctuations that become increasingly
turbulent when probed on smaller and smaller distance scales. On
sub-Planck-scale distances, the quantum undulations are so violent that
they destroy the notion of a smoothly curving geometrical space; this
means that general relativity breaks down."
But general relativity does not break down. It works perfectly well,
holding the planets in their orbits, curving space and time about
massive objects, bending light just so, in accordance with Einstein's
equations.
General relativity does not break down at sub-Planck-scale distances
because such distances do not exist. The fourth dimension is expanding
relative to the three spatial dimensions in units of the Planck length,
and thus all physical measurements and physical definitions are larger
than the Planck length. General relativity need have no fear of ever
breaking down at distances smaller than the Planck length, because such
distances do not exist in the physical world!!
http://physicsmathforums.com/