Time is passing now, here on Earth, at a DIFFERENT rate than
it is passing on the surface of the Moon! Not a lot, but certainly by
several parts in a billion. That is about 1/95 of a
second every year.The assumption of absoluteness in the rate of passage of time
is not actually true!Since 2006, I have tried to get NASA or the ESA to include a Cesium clock in a soft-landing on the Moon. In 2018, the Japan
Space Agency (JAXA) intends to launch another soft-lander to the surface
of the Moon. Such a simple experiment, where identical Cesium clocks on the
Earth and Moon might be continuously compared, will prove once and for all
whether Einstein was right about his Equivalency Principle and therefore
General Relativity. My calculations, based on Einstein,
indicate that the Earth clock should count about 10,976 extra ticks every
hour than the identical clock on the Moon, entirely due to the difference in
our gravitational fields on the surface of the Earth and Moon, and on
Einstein's General Relativity and his Equivalency Principle of gravitation
and acceleration. Such a simple and
inexpensive experiment would instantly confirm that Einstein was right and it
would also demonstrate the logical flaws in the popular assumptions regarding
Time Dilation, the Hafele-Keating experiment, the Twins Paradox, alleged
Time Travel, wormholes, and other fields of modern Physics.
Since 2006, I have tried to get NASA or the ESA to include a Cesium
clock in a soft-landing on the Moon. |

This presentation was first placed on the Internet in January 2009.

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Special Relativity refers to the situation where an object is traveling at a CONSTANT VELOCITY relative to an observer. We have long known that it is real and that it has the time dilation effects that Einstein had calculated for it. We mentioned above that one of the first such experiments (around 1941) involved cosmic rays hitting molecules near the very top of the Earth's atmosphere at incredibly high impact force. The impact shatters the molecules into a lot of smaller pieces, some of which are muons or also called muons. We know in a laboratory how long a muon exists before it then again disintegrates into yet other particles. All scientists knew that even at the speed of light, a muon could not quite travel half a mile before disappearing as it decayed into other particles.

**The proof of time dilation was that laboratories on the surface of the
Earth, many miles below, were detecting those muons!** That should have
been impossible! A muon was created maybe 50 miles high in the
atmosphere, and it was known to not be able to even go
half a mile before decaying. So there was NO chance whatever that any
muon could possibly get down to Earth-based labs to be detected.
**Time dilation was the ONLY possible explanation!** From OUR point-of-view,
the muon's rate of time passage was far slower than ours, where
it was able to make that longer distance before decaying. From the muon's
point-of-view, the thickness of the Earth's atmosphere was less than
0.28 mile, so there is no problem of getting all the way through it
before decaying (even though time seemed to pass at normal speed
for the muon!)

But the far more interesting subject is that regarding General Relativity. Where Special Relativity dealt with CONSTANT VELOCITY, in other words, NO ACCELERATION, General Relativity is about the many situations where accelerations occur.

One specific example of Einstein became very well known. In a pair of
thought experiments, he proposed either two elevators or two rocket ships.
In the elevators, he had one elevator carriage out in deep
space where there was no gravitation applying, while for the other
elevator, he cut the cables supporting the elevator carriage
which was in the Earth's gravitational field,
where the elevator then fell downward with ever increasing velocity,
but with constant acceleration. He noted that an occupant of that
falling elevator would be floating in the elevator, along with everything
else there (at least if air friction was not considered and
until it hit the bottom!) and that he would not be
able to do any experiment to find any difference from if he was in the
other elevator carriage floating free in deep space. Relativity.
In the one case, there was
no net acceleration because there were two effects, one of the
Earth's gravitational field and the other from the acceleration of the
free fall, which totaled exactly zero, just like is true in outer space.
**Einstein concluded that meant that an acceleration due to motion
must be exactly interchangeable with an acceleration due to the gravity
of a planet.**

**Time Passes Faster Here on Earth than on the Moon**

**Einstein's rocket thought experiment showed a little more.** His
experiment was to have two identical rockets. One is (forever) sitting on
a launch pad, being subjected to the 32 ft/sec^{2} effect of
the **gravitational field of the Earth**. The other space
ship would be in deep space, far away from any planet's gravitation,
but **accelerating due to ever-running rocket engines at exactly 32
ft/sec ^{2}**. He noted here as well that the two occupants
could never do any experiment to tell which situation was really their
case. Again,

As it turns out, the equations for General Relativity are astoundingly
complex, and after 100 years NO ONE has yet fully solved them! **But
virtually all Physicists agree that there MUST be some sort of effect
regarding some modification of the rate of time passage which must exist
in General Relativity.** Unfortunately, being unable to actually
solve the equations, **they all ASSUMED that the time-effect was the
SAME as for Special Relativity, which turns out to be exactly
OPPOSITE of what is certainly true.**

Around 1960, a few years after Einstein's death, some Physicists applied some (wrong) simplifications to the set of ten (insoluble) Tensor Calculus equations that Einstein presented as describing General Relativity. Even then, all Physicists realized that in applying such modifications to the equations in order to be able to solve them, there was a good chance that the real precision of the original GR equations might have been lost. But there was immediately nearly universal adoption of the modifications.

Since no one has yet completely solved the set of ten tensor calculus equations
of General Relativity, no one actually has ever known what that effect
might actually be. Part of that is due to Einstein having to have
used Riemannian (curved space) Geometry instead of the usual Euclidean
(linear space) Geometry which we call Plane Geometry.
**There is a UNIVERSAL ASSUMPTION that a Time
Dilation effect must apply. There is absolutely NO actual basis for
making such an assumption!** I firmly believe that it is entirely
based on a flaw in the modifications done to the equations! In
fact, my research regarding analyzing
the alleged Twins Paradox and in studying those equations of
General Relativity, have established to me that the exact OPPOSITE
is actually true! During acceleration or when within a gravitational
field, that time passes FASTER than it would in deep space without
acceleration. I have given this the name of Time Speeding.

**Given the preambles above, an extremely obvious
experiment seem to be needed to be done! It is convincing and accurate.**

(I proposed this experiment early in 2006 to NASA)

A small un-manned rocket would take a set of several accurate atomic Cesium
clocks to a spot on the surface of the Moon and gently plop them down
on the surface there. Radio links would be required to be able to compare
those clocks' readings with the readings of an identical set of
atomic clocks here in a laboratory on Earth. **That's the entire experiment!**

Specifically, the precise known frequency of the Cesium atoms on earth-based atomic clocks is 9,192,631,770 cycles per second.

In the slightly weaker gravitational field of the Moon, I believe that
the Moon-based atomic clocks should have a frequency very slightly
slower, that is, around 9,192,631,767 cycles per second. This is only
slightly more than 3 cycles per second different, or **around 10,976
different numbers of ticks per hour**.

The difference is not much, only about 1/95 of a second slower per year on the surface of the Moon.

Actually, a long-held concept, called the Equivalence Principle, which
states that the effects of acceleration and the effects of a gravitational
field are indistinguishable, due to General Relativity, also has
long provided support for my research and my proposed experiment.
If any environment is subject to either a gravitational field or
an actual spatial acceleration, then that Equivalence Principle
states that General Relativity MUST cause
time to pass FASTER in a gravitational field by a factor which is
generally called the Equivalence Factor and is given as

1 + (a * d)/2 / c^{2}.

We know that the gravitational field on the surface of the Moon (a) is
around 1.62519 meter / sec^{2}. We know that the RADIUS of the
Moon (d) is around 1.738 * 10^{6}
meters. And we know that the speed of light is about 299,792.458
kilometers/sec. If we plug those numbers into the commonly accepted
Equivalency Principle factor above, we can see that the factor is
therefore 1.000 000 000 015 732 (note that this factor is more than
1.0000 and so there is a time-speeding factor as compared to open
deep space.

Over a period of one calendar year, that would imply that time passage on the surface of the Moon should have GAINED around 0.00049 second during that year, as compared to the rate of time passage in deep space. This is not a large interval of time, but to Physicists, it is huge!

We must now do the same math for the surface of the Earth.
We know that the gravitational field on the surface of the Earth (a) is
around 9.82 meter / sec^{2}. We know that the RADIUS of the Earth (d) is around 6 378 137
meters. We know that the speed of light is about 299 792.458
km/sec. If we plug those numbers into the commonly accepted
Equivalency Principle factor above, we can see that the factor is
1.000 000 000 348 445 (note that this factor is more than
1.000 000 and so there is a time-speeding factor on the surface of the Earth
as compared to open deep space.

Accepting that Earth-borne Cesium clocks run at 9,192,631,770 cycles per second, this would then be a rate for a deep space Cesium clock of 9,192,631,766.80 cycles per second.

And a Moon-based Cesium clock would run at 9,192,631,766.94 cycles per second. These figures indicate that an Earth-based Cesium clock should run 3.06 cycles per second faster than an identical Moon-based Cesium clock should run. In any hour, that would mean the two identical Cesium clocks would tick

**
So, if MY calculations turn out to be correct, then we on Earth
age around 0.011 second faster per year than if we had lived on the Moon's
surface. The important fact is that time passes faster here on Earth
than it does on the surface of the Moon, by a significant and
detectable amount.**

I am not sure that this tiny difference would ever be useful or important
for any experiment on Earth. But see that if the Moon and Earth clocks
were exactly synchronized on January first of some year, then **after an
entire year (of about 31 million seconds), the two clocks should be different
by about 0.011 second!** In Physics, that is a HUGE difference!

A (young) Physicist in California is researching even smaller effects
related to the Moon, which seem to me to be certain to fail for being
too small for any instrumentation to ever actually detect.
But he rather arrogantly simply blew MY Research off
as absolutely irrelevant, and he even told me to stop bothering him
(after a total of TWO brief communications)! The majority of Physicists
DO tend to be incredibly arrogant when around non-Physicists, but I was
amazed to be treated as being totally ignorant. I have no doubt that
he is absolutely wrong regarding MY Research, especially since he
made a clear point of NOT even more than scanning my information.
He also made some statements which show his understanding of the
accuracy and consistency of atomic clocks is sadly lacking!
I can only hope that he takes more care in the Research which HE is
being paid to do! He DID claim to totally accept the Equivalence
Principle, but it seemed clear that he had no idea of its
implications and consequences! **In a rather clear act of total disrespect
for me as a Physicist, he even chose to "teach me" the
difference between Special Relativity and General Relativity.**
I suppose I was lucky that he chose to explain it in words for a Fourth Grade
child, where I had a chance of understanding his explanation!.
I found that rather sad regarding how superficial he seemed to be.
And how self-centered he clearly behaved. MOST Physicists recognize
that people like me who received a Degree in Physics from the University
of Chicago, might actually even KNOW most of the letters of the
alphabet!

This Time Speeding effect certainly might be very significant near white dwarf stars or other extremely dense objects. Say that the gravitation there was 150,000,000 times what it is here (if that is possible), and that the object was 1000 kilometers in radius. My calculations indicate that time would pass there at around 2% faster than the rate that we measure it passing. Say that the gravitation there was 150,000,000,000 times what it is here (if that is possible), and that the object was also 1000 kilometers in radius.

Such a situation might change a lot of attitudes regarding what is happening in such bizarre environments. If we now believe that material is orbiting at virtually the speed of light, but if time was actually passing there at 45 times as fast as we realize, then the ACTUAL velocity there may only be 1/45th of what we think it is! In other words, we might MOT need to dream up bizarre ideas to explain relativistic rotational speeds, IF that is not even close to actually being the case!

Additionally, for Pulsars and Quasars and other objects which seem to us to be generating impossible amounts of radiation, this might provide an interesting new insight! If light from 16 actual seconds of radiation, all arrives here during one second, we would see it to be 16 times as BRIGHT as it actually is! Again, some of the bizarre ideas which have been presented to try to describe such observations might NOT actually be necessary at all!

Additionally, we believe that some such objects are rotating at astounding rates. If time is passing there at 16 times or 1000 times of what we experience and believe, then the ACTUAL rotation rate might only be 1/16th or 1/1000th of what we now think it is, and in many cases, that might put the object back into being less exotic than has been assumed.

There are other characteristics that we see in extremely distant objects which might be explained more logically than previous explanations have ever provided.

Most important of all, the fact that no one has yet been able to fully solve the full set of ten Tensor equations of General Relativity, means that no one has ever really known for sure about any effects on the rate of the passage of time. It was traditional to ASSUME that the same Time Dilation MUST occur during General Relativity (acceleration) as it certainly does during Special Relativity (constant velocity, no acceleration).

So such a experiment (on the Moon and on the Earth) is needed to demonstrate that GR has Time-rate speeding rather than Time Dilation, and that time passes MORE QUICKLY here on Earth than it does in deep space. The experiment would also show if my calculations are accurate or not. (No one else has ever even tried to GUESS at how fast their (alleged) time dilation occurred during acceleration! It is NOT Time Dilation at all and is actually Time Speeding during acceleration and deceleration. I even derived an equation there to give that Time Speeding factor for any situation!)

There is even the possibility that an aspect in the equations might cause even GREATER effects on the Moon and the Earth than calculated above. All this certainly makes experimentally confirming General Relativity to be very important!

The scientific community needs to know this simple bit of knowledge, of such simple and inexpensive experiments!

This presentation was first placed on the Internet in January 2009.

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C Johnson, Theoretical Physicist, Physics Degree from Univ of Chicago