Pi is dimensionless (it's the ratio of a circle's circumference to its diameter), whereas T/L has dimensions, those of 1/velocity. So pi can't be equal to a quantity that has dimensions. Seismic wave propagation will provide such a relation, as is well known from solving the wave equation in a compact space, that's nothing new.

Furthermore, there's nothing special about the Earth, or its radius.

Mr. Einstein used constant speed of light (flashlight ) for his formula, he did not use natural sunlight that has massive frequencies, wavelength, visible/invisible character with different speed. Simply Einstein perception of light has no scientific value same as yours,

On the other hand, earth physical body has no elation for a universe with billions of galaxies, where each galaxy hold billions solar systems and earth like with different sizes.

Pi, is just one-dimension calculation and it does not present three-dimension of nature.

Dear Stam Nicolis , thank you very much for giving your opinion on this Topic.

It is correct that contemporary physics treats pi as dimensionless ratio (Meter Circumference / Meter Diameter).

My finding is, that pi in fact must be treated as dimensioned ratio (Unit for circumference / unit for Diameter = Time / Length)

What is special about earth is, that we relate all measurements of length (triangulation) to the surface of earth (and therefore its diameter).

Dear Javad Fardaei ,

But isn't it the case that Einstein formulated his postulate for all types of light? Which doesn't mean that his postulate is correct.

You say that pi is a one-dimensional calculation. I see it differently. On the one hand, pi describes the ratio of circumference to diameter, which would already be two-dimensional. On the other hand, I claim that pi is three-dimensional, i.e. it links three different dimensions together.

- the diameter (I call it length L)

- the circumference (I call it full angle T)

- the area (I call it area L^2)

of a circle.

Physics today implicitly assumes that defining the unit for a length also defines an area, because multiplying one length by another length (length * width) results in an area.

Geometrically, however, the prerequisite for such a view is that a 90° angle can be measured between the two lengths.

And this angle or the measurement rule for it is not defined anywhere. I have worked out that the speed of light (in the sense of a straight line) is the definition of a 90° angle.

Dear M.U.E. Pohl ,

Being a geological engineer, my answer to this question is very simple:

Because the Earth's volume is not constant: and has not spherical shape... (Look on the (next photo)

Regards,

Laszlo

For many years now I was thinking of the consequences o apparent arbitrary choice of the current units of measure.

The one 100% arbitrary was the 1/86400 th part of Earth's rotation period for the second.

The magnitude of meter could be less asrbitrary. In early days, there was a concept of the base length unit be based on the length on one second pendulum. In such case the gravitational acceleration would exactly be g=π^2=9.86960440108...m/s^2

However, the proposal failed because g varies across the globe, but the 1/10000000 of one quarter of the meridian going through Paris came out pretty close to one second pendulum. The difference between a 1 meter and the length of 1 second pendulum in a standard location is around 0.64%. Hard to say if this was deliberate, because 1/10000000 is pretty round number and the actual length was surveyd with platinum rods to Dunkerque in the north to Barcelona along the Paris meridian between 1792 and 1799 by French geodesists Delambre and Méchain.

Some Italian researches tried to find evidence of deliberate correlation of meter and second but could not find any.

Whether deliberate or not, one meter is pretty close to average one second pendulum length (within 0.64%) so this is likely the partial cause of some numerical coinidences.

Now, the earth has no diameter as it is a geoid approximated by an ellipsoid which is not always touching the Earth'surface so you would have to make a choice if you want the semi major or semi minor axis.

Earth Mass is used as a standard in astrophysics, but better still for astromomical calulation GM is used rather than M alone, because the product of the two is more accurate than the product of published M and G separately.

The funny thing is you could play with physics based on units convention.

You could assume one second pendulum is the length of one meter, and you wish the gravitational acceletation be π^2 m/s^2

You do not need any measurements to estimate the GM assuming spherical earth and the circumference of 40 000 000m, You will get:

GM=4x10^14 m^3/s^2.

The most accurate measured value of GM is:3.986 004 418×10^14m^3/s^2. which give 0.3% error of our estimate without moving from the chair. NASA and other organisations must have spent millions to do these measurements :)

Andrew Wutke Thanks a lot for the detailed answer and informations which are very interesting.

Of course the diameter of earth i refer to is something "mean" to represent the EM Field of earth.

What i found is that whenever we define a unit for time, we define at the same time a unit for length. (as Length / Time = constant). And when we define a unit for length , at the same time we define a unit for time.

As we defined both (time and space) seperate, we do work now with two different "units" for spacetime, one unit for the atomic scale and one for the astronomical scale.