The Relativity and the atomic clocks

Enviado por Geraldo em qui, 01/24/2008 - 19:28.

 

The atomic clocks are controlled or compared by centrals through radio waves. NIST in United States, LPTF in France and PTB in Germany.

 

 

 

 

 

 

Two atomic clocks located in a building, one in the first floor and another in the last one, will have different orbital velocities due to the earth’s rotation, where:
v1 ® velocity of clock 1;
v2 ® velocity of clock 2;
D ® level difference between them;
R1 ® clock 1 in the last floor;
R2 ® clock 2 in the first floor;
v = v1 – v2 ® relative velocity between both clocks.

 

For Science

The clock R1 has a relative velocity v in relation to clock R2. Science affirms that the clock R1 works slower than the clock R2 due to the restrict relativity and this velocity v. The time measured by the radio wave that connects both clocks sourcing for comparing the time measured between them covers the trajectory of length D in a time:

- to, measured by clock R1;
- t, measured by clock R2;

And such times are related through the formula of time of relativity.

where the difference Dt

The Science affirms that such difference that is calculated as above will be equal to the difference that was read in practical between two clocks R1 and R2.
It will certainly happen when the atomic clocks are exactness because nowadays they are not yet.
Science also affirms that gravity influences on such difference Dt.

For Logical Deductions

Time is absolute.

The observer S would see that the radio wave is emitted by the clock R1 on the R’1 position and it reaches the clock R2 when this one is on R2 position.
In a time t, which is measured by the observer’s clock on earth or by the observer S, because both clocks are moving in the same way due to the time is absolute, he would see:

- The clock R1 goes from R’1 position to R1 traveling a distance E at velocity v
- The clock R2 goes from R’2 position to R2;
- The radio wave goes from R’1 to R2 traveling the trajectory L at velocity c;
When the radio waves arrives at R2 due the velocity v1 of such clock and the aberration effect it has its trajectory R’R2 modified as it had covered the direction R1 R2.

But if the earth did not have its rotation motion, the velocity v=0, the wave would have covered the trajectory R1 R2 of length D at velocity c in a time to.
If we solve the triangle R’1R1 R2 we will find the same formula of time of relativity:







where:

t = time that a electromagnetic wave of radio takes to travel the trajectory L at a light’s velocity c;

to = time that a electromagnetic wave of radio takes to travel the trajectory D at light’s velocity c.

being the difference Dt:

 

The difference between the actual physics and “Logical Deductions” is just the interpretation of facts.
When Logical Deductions deduced the formula above using only one clock, the one of the observer on earth or observer S in the space watching the rotation motion of earth, it has improved the relativity proving that it is right and also that it can be applied in all phenomena related to the dynamic of electromagnetic waves, as it has been applied. However, it gives different interpretations from those used by Science, eliminating absurd such as: time dilatation, contraction of spaces, fourth dimension and so on.
In the example of atomic clocks, t>to because the trajectory L traveled by wave when v¹0 is bigger than the trajectory D when v=0 nor because a clock works slower than another one as relativity affirms. Thus, if L>D we will have t>to.
Logical Deductions also affirms that gravity influences on Dt.
For Science the interpretation of the difference Dt between two atomic clocks is accumulative, because the clocks always move with different velocities. In the other hand, for Logical Deductions this difference is not accumulative, thus the atomic clocks located in different latitude and altitude set once, in relation to a universal pattern of time, will always be right. If it did not happen it would be impossible to have a pattern of time, because all clocks would move in different ways in function of their velocities which change according to latitude, altitudes and also the planet that they are located on.

Therefore, in a near future when many vehicles will have automatic pilots and rotes that will be exactly described in the interplanetary trips, physicists can be insouciant because they will have a precise pattern of time to guide their ships which would be very complicate if the relativity was right.

We can also apply the relativity in this case:

1º - We are comparing a time t0 if the earth is standing still at a time t, considering the earth’s rotation.
2º - We are using the formula of time um a right-angled triangle R`1R1 R2..
3º - It has a photon changing when we consider that clock R1 is standing still with velocity v.
4º - If we choose the interpretation of restrict relativity we would have to accept the time dilatation
5º - And if we choose the interpretation of its Logical Relativity we are accepting the Camila Effect which is much more acceptable.