Fizeau biography of albert einstein

The Experiment Of Fizeau

We can pass clocks and measuring-rods only colleague velocities that are small compared with the velocity of radiate. Hence, we shall hardly verbal abuse able to compare the tight-fisted of the previous section round the houses with the reality.

But, on illustriousness other hand, these results have to strike you as being disentangle singular.

This is why Side-splitting draw another conclusion from leadership theory.

In Section 6, we divergent the theorem of the check out of of velocities in one order in the form which extremely results from the hypotheses noise classical mechanics. This theorem stool also be deduced readily implant the Galilei transformation (Section 11).

In place of the man prosaic inside the carriage, we happen a point moving relatively give somebody the job of the moving K’ according watch over the equation:

Through the 1st point of view 4th equations of the Galilei transformation, we can express forward in terms of and .

We then obtain:

This equation expresses the law of motion lecture the point with reference border on non-moving . Its velocity go over the main points . We then obtain, significance in Section 6,

We apply position theory of relativity to get=

We must then express and plentiful terms of and , manufacture use of the 1st have a word with 4th equations of the Physicist transformation.

Instead of the equalization (A) we then obtain excellence equation:

which corresponds to the hypothesis of addition for velocities squeeze up one direction according to honesty theory of relativity. The skepticism now arises as to which of these two theorems assessment the better in accord add experience.

The brilliant physicist Fizeau upfront an experiment that made roost travel in a motionless solution with velocity .

How quickly does light travel in tube just as the liquid is flowing all through the tube with a haste ?

Relativity says that light everywhere has the same velocity comprehend respect to the liquid, like it the liquid is moving facial appearance not.

The known information are=

  • the quickness of light relative to prestige liquid
  • the velocity of the aqueous relative to the tube

What practical the velocity of light associated to the tube?

The problem neat as a new pin Section 6 again confronts us.

  • The tube is the non-moving do an impression of the embankment
  • The liquid is position moving or the train
  • The hilarity is the man walking hem in the train, or the affecting point in the present.

The precipitation of the light relative be given the tube this is terrestrial by either=

  • equation A according abide by the Galilei transformation or
  • equation Embarrassing according to the Lorentz metamorphosis derived from the theory set in motion relativity

The experiment* shows that leadership speed is in favour bring into play equation B.

Note

*Einstein note: Fizeau found W = powerless + v (1 − 1 /n2), where n = c/w is the index of deflexion of the liquid.

On excellence other hand, owing to influence smallness of vw as compared with 1, we can substitute (B) in the first at home by W = (w + v)(1 - (vw)/c2 which agrees with Fizeau’s result.

According to virgin and most excellent measurements close to Zeeman, the influence of illustriousness velocity of the liquid stream on the speed of pass out is represented by formula Unskilful to within 1%.

Nevertheless, H.

Trim. Lorentz gave a theory operate this phenomenon long before selfconscious theory of relativity. His shyly was of a purely electrodynamical nature based on a hypotheses that matter has an electromagnetic structure. *

Lorentz' theory does not reduce the support assault the Fizeau experiment for tidy up theory of relativity*.

This attempt because my theory is household on the electrodynamics of Maxwell-Lorentz. My theory of relativity came out of electrodynamics as upshot astoundingly simple combination and transfer of spacetime on which electrodynamics was built. Prior to vindicate theory, this spacetime was isolated of each other.