Hi martillo,
Of what? A law that is variant with respect to a transformation into a rotating frame? Just take either classical or relativistic mechanics. An object with no external forces acting upon it doesn't even obey Newton's first law in a rotating frame (see
Coriolis effect).
They "detect an absolute state of rotation" and you think this is irrelevant?
As far as special relativity is concerned, yes (I don't really feel like defending a theory like GR that I don't understand).
They determine very special frames of reference!
They don't contradict Lorentz invariance, and therefore don't contradict special relativity. Relativity only denies absolute
linear velocity. It says nothing about absolute
angular velocity. The two are completely independent.
When I say that an absolute frame can be determined by gyroscopes directions and the center at the center of the Universe I'mnot defining "absolute frames" but just giving a way to determine them.
You have to show that the "absolute frame" you are determining is the same type of "absolute frame" relativity claims is undetectable. Otherwise, you don't have a case against relativity.
Of course I propose that some laws are non-invariant. I present DE Broglie law as an example in part B of page cited at the head post.
The
de Broglie relations can be expressed as:
$$\vec{p} = \hbar \vec{k}$$
where $$\vec{p}$$ and $$\vec{k}$$ are the
four-momentum and the wavenumber, respectively (the timelike component of $$\vec{k}$$ is related to the frequency of the wave, which the above equation links to the particle's energy). Since $$\vec{k}$$ is proportional to $$\vec{p}$$, it, like the four-momentum, is a
four-vector (meaning it transforms by the Lorentz transformation).
The equation of a (real) wave can be expressed as:
$$\Psi = A \cos(\vec{k} \cdot \vec{x} + \varphi)$$
where $$\vec{x}$$ is the four-position, and $$\vec{k} \cdot \vec{x} = - k^0 x^0 + k^1 x^1 + k^2 x^2 + k^3 x^3$$ is the
Minkowski inner product of $$\vec{k}$$ and $$\vec{x}$$. The Minkowski inner product of any two four-vectors is a
Lorentz scalar (ie. invariant). To anyone familiar with the Minkowski formalism, this ends the discussion on the Lorentz invariance of the relativistic de Broglie relations.
I posted the correct, general transformations for the wavelength ($$\lambda' = \gamma \lambda$$ is only a special case) and period of a wave [POST=1364865]here[/POST], following a derivation [POST=1364576]here[/POST]. I suggest you reread these posts - then we can discuss any specific points you don't find convincing.
There are some things that are not frame dependent. If I has a long bear I will have it in any frame of reference that I could be observed. Age is an intrinsic property of living individuals that cannot be frame dependent anyway.
If I have a theory that claims that the existence of your long beard is frame dependent, my theory clearly would not fit observation and experience, but it could well be internally consistent.
You cannot observe that something have happened in a frame of observation while not happening just changing the frame of observation.
This is the way things
happen to be and what human intuition has evolved to expect. It is
not a logical necessity.
Of course I can, just look at Lorentz transformation for time!
Staring at an equation and deriving something based on physical measurements are not the same thing. How would your two twins
measure their relative ageing rates?