There is no such thing as 'Lorentz ether theory'. It's a myth. A pseudoscientific myth.
'LET' cannot be a scientific theory. It has exactly the same formulas, exactly the same mathematical model as Special Relativity does.
So effectively it is equal to the Special Relativity theory. Any numerical prediction 'LET' could give would also be given by SR. (Converse is not true: SR gives some general predictions that 'LET' fails to give, but does not conflict with, and those predictions hold.)
By the criteria of scientific theories, it cannot pass as a separate theory. So no experimentum crucis is possible to distinguish between them.And what is more, Lorentz has nothing to do with this 'theory'. He has never formulated it. He has worked with ether, yes, and he has done some contribution to Special Relativity, while thinking he is talking about ether. But his results were particular and did not make a consistent theory by themselves, they were made consistent only when they were included into the body of the Special Relativity theory. That was done by Poincare and independently by Einstein.
So, 'LET' cannot be attributed to Lorentz, it is attributed to some pseudoscience ether freaks of the end of 20th century, who fashioned it out of nothing and started to advertise. Just don't believe them, and ignore their claims.
'Ether' is dead for ages and will never return.Also, a name 'Lorentz theory', when met in a trusted context, does not refer to the Special Relativity theory or some ether theory. It refers to the 'Lorentz electron theory', meaning the theory of electricity in substances, conductivity, polarisation, optical properties and so on. All these phenomena, by this theory, are due to electrons. As you see, there is nothing freakish here. Such views are entirely supported by the modern science, except some numerical calculations modified by quantum theory of solid state. Also, Lorentz was trying to build the model of electron itself, as small but not point-like particle, alongside with many other theorists of the time: Poincare, Abraham, Langevin. And this attempt failed. Electron had to wait until quantum mechanics and quantum electrodynamics for the valid model, until Heisenberg, Schrodinger, Pauli and Dirac. All this story has nothing to do with ether.
-- 04.09.2012 17:12:28 --How about Mickelson-Morley experiments? (I hope i wrote they names correctly).
Michelson–Morley. Михельсон, да-да :-)
Bun i doubt that somebody can gave you links to experiments supporting S.R.
http://math.ucr.edu/home/baez/physics/R ... ments.html