Dear Peter,
I am pursuing the truth wrt inertial frames and the speed of light. In fact, I bought a green laser on Ebay so that I can run some experiments. I asked you about
[math]c = \lambda f[/math]
for a reason. Your response was,"Of course the equation is correct, and if you believe that 'Reflection' supports the theory that there's another universe behund each mirror, then it "upholds" length contraction. "
On the contrary, it proves everything. It proves that all observers see the same velocity for light no matter where it comes from and no matter how fast one is moving.
The photon is a remarkable object because its frequency conserves energy via
[math]E = hf[/math]
and its wavelength conserves momentum through
[math]p = \frac{h}{\lambda}[/math]
The photon is the connection between momentum and energy. That is part of the reason why I favor the photon as that which implements the laws of physics, together with the wave function.
Water is not the right medium to describe photon. The medium has to be a froth of wave functions. Wave functions are "the group of possible solutions" to the Hamiltonian (Schrodinger) differential equation.
Water does not fit the bill. Wave functions are, inherently, waveguides for photons and for other fundamental particles. Wave functions have conservation of energy and momentum built into them. Wave functions explain why two slit diffraction experiments work. Wave functions are the reason why QM bats 1.000 (100%).
Wave functions allow you to build energy levels which can provide for gravity wells. Since wave functions only provide the framework; photons have to do the heavy lifting. When they climb these gravity energy wells, they redshift. That is why atomic clocks slow down inside gravity wells. That is why GPS satellite systems really do prove that relativity works.
This froth of wave functions is called the Higgs field. In its absence, relativity doesn't work.
Don't be light Stephen Hawking who has to destroy physics (the conservation laws) in order to brainwash his congregation of misguided physicists.