Johannes Kepler:
Laws of Planetary motion without Gravity
Kepler
spent
ten years trying to find a mathematically precise solution for
the Martian orbit. He tested his calculations against Tycho Brahe's
observations. Kepler's solution showed that Mars moved in
an ellipse, with the sun at one foci. A planet speeds up when it is
closest to the sun according to his second law. His third law, ( T1 /T2)2 = ( R1 / R2)3 showed a
correlations between orbital period (T in years) and radius (R -
distance in AU). Kepler did not imagine that gravity
attracted the planets to the sun. Instead he thought
there was an "anima motrix" - rays like light - coming from the sun
that pushed the planets. Far planets intersected fewer rays and so
moved slower. If
an invisible string of rays held a planet to the sun, it would have to
move in a circle, not an ellipse. Kepler proposed that magnetic fields
interacted with the "anima motrix" to modify circular orbits into
ellipses. According to
his idea, Mars would have a stronger magnetic field than earth because
its orbit is more
eccentric. Today we know that Mars has no present global magnetic field.
Isaac Newton explained that all objects are affected by
gravity. He unified
astronomy and mechanics by showing that a falling object is reacting
to the same force as the
orbiting moon.
Newton wrote that, “Gravity must be caused by an agent acting
constantly according to certain laws.” He arrived at these laws of
motion because he took "time" as the independent variable. Newton
wrote, “Absolute,
true and mathematical time, of itself, and from its own nature, flows
equably without
relation to
anything external.” His absolute space and time successfully
predicted planet motions and apples falling from trees. Newton's
concept of
time, allowed him to invent the force of gravity. Newton studied in
Western Europe, the
only place on earth where clocks ticked with equally sounding seconds.
No other people in history
had ever imagined that time always moved at the same speed. Their
histories mentioned how
the earliest people lived in the great time, the time of Kronos.
Everyone observed that daylight was shorter in winter and longer in
summer. Ancient people varied the
amount of water in a water clock so that the durations of "time" slowed
down or sped up to fit the varying length of a day. Claudius Ptolemy
sometimes measured astronomical events in “equal hours.” Equal hours
were simply
angles (time) measured along the equator instead of the ecliptic. He
did not
imagine that equal hours were really equal chunks of time. Why not? The
sun and moon
move at different speeds against the background stars at different
times
of the year. Three thousand years ago every village idiot knew that
time ran
slower in the past and that it was always
speeding up.
Gravity seemed to fit Newton's concept of
linear
time. However, Newtons gravity uses circular
reasoning. Gravity supposedly emanates from all mass. He assumed that
mass is unchanging,
since matter was not supposed to change its properties as it ages. To
measure an unchanging force, one must assume an unchanging time. To
measure an unchanging time, one must assume that the properties of
matter are not emergent. We cannot in the long term measure a precise
velocity or acceleration without a assuming linear time and
an unchanging mass. As Einstein
pointed out, "The weakness of the principle of inertia lies
in this, that it involves an argument in a circle: a mass moves
without acceleration if it is sufficiently far from other bodies; we
know that it is sufficiently far from other bodies only by the fact
that it moves without acceleration." Gravity is the force that comes
from mass. It
is also the force that moves it. Wait a minute, you say. We measured
the mass repeatedly and
it always accelerated the same way. How can you say this is circular
reasoning? The assumption that time is unchanging is essential to
reasoning about
gravity and even measuring it.
Yet no
clock ever isolated any time
or
precisely compared a past
second
to a modern one.
Newton's gravity revolutionized science and
philosophy. One man's ideas
introduced a rigorous mechanical view of the universe.
Einstein
n: Relative Time and
Gravity Fields
At the
beginning of
the 20th
Century, everyone accepted Newton's gravity.
However, Einstein questioned the assumptions about
absolute
space and time. In Einstein's universe, each observer has his own clock
and his
own ruler, but all observers measure the speed of light equally in
every reference
frame. Einstein extended Galileo's relativity to include relativity of
space
and time.
In 1915, Einstein produced his General
Theory
of Relativity. In Einstein's thinking, gravity is not a force pulling
us
towards some
distant mass but rather the evidence of space-time curvature. All
straight
lines are
bent by the presence of massive objects because space and
time are
intertwined. Time is slowed down by mass, supposedly because mass warps
space-time.
Einstein could
explain the acceleration of
gravity without the use of an attractive
force. Clocks in the vicinity of massive objects slow down. The greater
the mass
the more all clocks slow down. Apples fall
from trees
because clocks run a tiny bit faster on the branch than on the ground.
Space-time is
much harder
to visualize than Newton's gravity. The mathematics of gravity is also
much
simpler than the mathematics of space-time. No one uses complex fields
and
partial derivatives to compute an orbit when the assumption of gravity
is so
much simpler.
Experiments, however, showed that clocks
really
do slow down in the vicinity of massive objects.
Einstein, like Newton, used an
operational definition of time. He said,
“Time is
what clocks
measure.” An operational definition is not concerned with the actuality
of time. Einstein just assumed that time is real because he defined it
with clocks.
Einstein's
system also depends on assumptions.
No one ever directly
detected any space-time or even isolated any time. If we deny the
existence of time, nothing in the universe would change, therefore we
have a right to claim that time is a synthetic idea. Like Newton's
gravity, space-time involves
perpetual motion without the expenditure of "energy." No one ever
detected bends in the vacuum of space as space-time forces the huge
earth to continually accelerate into following the bend in the vacuum.
What is
gravity?
Gravity, like
time, is illusive. You think you understand it until you try to explain
it. In
Einstein's thinking, gravity cannot be divorced from time. Every
attempt to isolate any space-time, gravity waves or gravitons has ended
in failure. Can we prove Einstein
is right?
We can prove his theory is more accurate, if we accept the assumptions
and
operational definitions upon which his gravity theory depends.
Newton and Einstein's concepts of gravity result in different
predictions. Einstein's mathematics correlates more accurately with
angular changes in
Mercury's orbit better than Newton's gravity. The bending
of starlight in the vicinity of the Sun is more accurately predicted by
space-time
than by gravity. Clocks carried in aircraft or rockets compared to
identical clocks
that remained “stationary” show the blue shift and red
shift of clocks as Einstein predicted.
How do we know that
gravity does not change throughout history? How do we know that
the
gravitational constant is really a constant?
Does
gravit
y
change?
Robert
Dicke.
The physicist,
Robert H. Dicke, tried to determine if gravity
changes over time. Gravity is the weakest interaction known.
Dicke used the effect of
the sun on test masses suspended on a quartz fiber in a vacuum chamber.
His experiment was designed to test his Scalar-Tensor theory of
gravitation. In this
theory subatomic mass ratios, electrical charges, and the gravitational
constant
may all vary togehter. Dicke ran his apparatus for nine months and
concluded that
there is very little room for a change in electron charge.
Dicke's apparatus used a small test mass and a short experiment. It
also relied on the basic assumption of science - the scientific first
principle.
To test the long term stability of gravity - one
could use large objects over long durations. One should not use
clocks in such a test, since clocks and gravity seem to be related. Why
can't we use radar or laser ranging? If relational change exists, it
would affect both clocks and gravity. A test for the stability of
gravity could use optical parallax of large bodies over lengthy
durations, or the visible way galactic orbits change over cosmic
history.
What is
gravity?
Is it a real
force, or is it the effect of space-time?
The reader may
think, we measure the force of
gravity with instruments, therefore it must
exist in reality. Not necessarily! Pseudo
forces
exist. Scientists measure Coriolis with precision accelerometers. If you
fire a rocket north in the northern hemisphere, Coriolis
appears to veer the rocker to the right. The same rocket fired in the
same
direction in
the southern hemisphere appears to veer to the left. Why? We measure a
Coriolis force because we are turning, moving as the earth spins.
What
about plants that wind around a pole in the opposite direction in
the
northern hemisphere than the southern? Aren't they reacting to the
Coriolis force?
No! The plant is growing on a moving earth. We invent a
Coriolis
force to correct for a “rotating earth based co-ordinate system.” We
are justified
in saying Coriolis is a pseudo force because
a
co-ordinate
system
exists
in
which
the
Coriolis
force
disappears.
Centrifugal force is also a pseudo force. If
you speed
around a corner in your car, you will feel a force pushing you
towards the outside of the turning circle. Your body is trying to go
straight while the
car is veering
off. The force is not a real force, even though
instruments can
measure it. The pseudo force comes from the acceleration of the
reference
frame that
contains the instruments. A reference frame can be imagined where the
force
vanishes, so it is unlikely to be a fundamental physical force.
Is gravity a pseudo force? Pseudo forces, like centrifugal force, are
always proportional to the 'weight' of the object that experienced the
'force' (e.g. the proof-mass in an electromechanical accelerometer).
The 'force' of gravity is also proportional to 'mass.' We measure
'mass' circularly with (1) the amount of force needed to accelerate it
and (2) the assumption that mass is an intrinsic and unchanging
property of matter. If the properties of matter are emerging, changing
as matter ages, we would still measure an constant force of gravity and
clock-like orbits with clocks. However, using angles, solar system
orbits would continue to spiral outwards because angles are not tied to
the assumption that the properties of matter are fixed.
Sir James
Jeans: “The theory of relativity shows that
if motions are attributed to forces, these forces will be differently
estimated, as
regards both quantity and quality, by observers who happen to be moving
at
different speeds, and furthermore that all their estimates have an
equal claim to be
considered right. Thus the supposed
forces cannot have a real objective
existence;
they are seen to be mere mental constructs which we make for ourselves
in our
effort to understand the workings of nature.” 8 “When
Newton
had
found
laws
of
motions
of
a
mechanical
system
which
were true
(apart from the minor refinements of the theory of relativity), he put
science on a
wrong track for two centuries by interpreting them in terms of forces
and absolute
space and time. It was much the same with the supposed force of
gravitation.” 9
Forces
and inertia are not necessary to make sense
out of the
universe. Harvard professor Owen Gingrich derived Kepler's laws
without the
concept of force for his History of Science class. He uses conservation
of
momentum and energy as axioms in his formulas. This demonstrates that
the
concept of force and inertia are not essential to an understanding of
the universe.
They are simply Newton's way of explaining motion.
Assumptions:
the weakest link in the chain
of Knowledge
The scientific
fundamental assumption affects ideas about space, time and gravity.
A fundamental assumption is also known as a first principle. The
historical first principle of science is the idea that the properties
of matter
are not emergent. What would our universe look like if all substance is
continually changing itself?
Consider the
strange measurements of the ancient astronomers. They are the
only
measurements that have a long enough base line
to test our ideas of space, time, and gravity. The ancient astronomers
did not have our assumptions. They
made
two types of time
measurements. Interval
measurements are often accurate. The Babylonian planetary
synodic periods (in days and fractions of days) are very close to our
clock measured units. The
ancient space measurements,
the angles and distances, radically conflict with our computer models. Eclipses, their dates and locations, are
almost always in error when compared to our calculations.
Eclipses are extremely precise events. Three solar system
objects precisely align when an
eclipse occurs. Why do their eclipse
records disagree with our
computers?
Why did they consistently measure a smaller solar system and larger
planets diameters, as Ptolemy did? How could Ptolemy's errors
cancel so that
his system worked? Why did eminent astronomers like Cassini and
Flamsteed, using independent parallax methods, arrive at
a solar system 7% smaller than we do? What the ancients measured
suggests a continually expanding solar system.
The
simplest test of gravity is a visual
test. Primordial galaxies look like tiny seeds, often seen
in
equally spaced chains. Closer galaxies begin to eject little
globs packed with stars. At closer ranges we see how these stars
continually accelerate outward as they take up more space. In
spiral galaxies we see that the properties of matter change as the
stars and gas continually accelerate outward. We see with
sight that the atomic frequencies, the inertial properties and the
space matter takes up keeps on changing relationally. We see how
billions of spiral
galaxies grew, spread out,
changed into huge growth spirals. What is visible
violates every law of science because it violates the scientific creed
that the properties of matter are fixed - not emerging. This
is
a
tiny
primordial
galaxy
in
the
Hubble
Ultra
Deep
Field
just
beginning
to eject a string of equally spaced blue star clumps. Notice that the
ancient galactic arm is moving in the opposite direction of all the
laws of gravity and that the colors (light frequencies) are different
for the core of the galaxy than for the nascent appendage.
What could cause such a universe? The Bible clearly states that the
creation is in bondage to phthora - internal change. It even states,
in Greek, that gold is presently corrupting itself. Do the properties
of matter change as matter ages? We can see the past with our eyes. We
can see that the properties of matter always change. Every clock,
atomic and orbital, when compared to closer clocks, visibly
accelerates. The earliest primordial galaxies shine with atoms
that clocked 10% of the frequencies of modern atoms. Why then do we
measure clock-like orbits here in
the solar system? When matter changes its properties relationally, the
atomic clocks, the orbits of the Sun and Moon, the rotations and most
of
the scientific
measuring units are affected in
parallel.
The most
important assumption you can think about is the modern first
principle. It was invented by Aristotle about 2350 years ago. This idea
was adjusted by the Catholic scholastic to: the essence of all
substance
is
unchanging. If matter changes AS A
RELATIONSHIP, we
could not measure it locally since it would affect everything, our
measuring units and our instruments.
Yet we
can see the evidence with our eyes.
Look at the universe with
sight.
Observe the history of how galaxies
formed and you will get more knowledge about gravity than you will ever
find in a physics book. Look! The visible history of the
universe violates every idea about gravity. This is because it violates
the basic scientific assumption that the properties of matter are not
emerging continually.
1.
Mathematical
Principles of
Natural
Philosophy by Isaac Newton, Great Books of the Western
World Vol 34, page 372.
2. Metaphysics by Aristotle, Library of the Future 3rd
Edition,
1994 World Library Inc.
3. The Copernican Revolution by Thomas S. Kuhn, MJF Books 1957, page 98
4. Physics by Aristotle. Book 4, Chapter 13, Library of the
Future, 1994 World Library Inc.
5. Physics by Aristotle, Book 4, Chapter 14, Library of the Future,
1994 World Library Inc.
6. Mathematical Principles of Natural Philosophy, Isaac Newton, Great
Books of the Western
World 1952 Vol 34, page 8.
7. Mathematical Principles of Natural Philosophy, Isaac Newton, Great
Books of the Western
World, 1952 Vol 34 page 372.
8. Physics and Philosophy by Sir James Jeans, Dover Publications 1981,
page 14.
9. Physics and Philosophy by Sir James Jeans, Dover Publications 1981,
page 190.
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Last modified on January 8, 2010