Richard Hachel

2022-01-06 12:09:07 UTC

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PermalinkExplaining to the housewife that she has to bring back carrots, potatoes,

and two red peppers from the market is very easy.

And she will understand it easily. Explaining the theory of relativity is

more difficult, even if the equations are trivial.

The point is, it's jam-packed with counterintuitive phenomena and little

pitfalls.

One of the most famous pitfalls in the history of this theory has been the

confusion that all scientists have made between the notion of chronotropy

and the notion of measuring time by a given watch.

It's not the same thing.

If one thinks that it is the same thing, a paradox, that is to say a pure

absurdity, will immediately appear. We call this paradox that no one has

ever been able to solve (except by shouting from the rooftops that it has

been solved without having solved anything at all) the real paradox of

Langevin.

Indeed, to say that time passes less quickly for the two twins is absurd.

This is FACTLY absurd. The error stems from the confusion between

measurements taken by watches and the chronotropy of watches.

I want the chronotropy to be reciprocally lower on the other watch: To'=

To/sqrt(1-v²/c²) and that this phenomenon is constant and invariable

with the direction of movement of the observers.

But it is not the same with the time that these watches are going to note.

We must not forget that chronotropy is not the only measure to take into

account, but that the universal anisotropy must also be taken into

account: crossing space is not ONLY moving away in space is also crossing

time, it is also really moving away in the past of the other. Let t'=

t.(1+cosµ.v/c)

The real equation therefore becomes:

t'= t (1+cosµ.v/c)/sqrt(1-v²/c²)

There is no longer any paradox.

Although the watches have a chronotropy which makes the other watch really

beat and reciprocally less quickly, in the end, the effect on the times

themselves is not reciprocal, which would be, it is true, totally absurd.

, and the road open to all the critics of the world's cranks. And we could

only agree with them.

R.H.