Kea said:
Hi Wallace
Did these varying c analyses you refer to properly take into account adjusted luminosities, or do they assume the same standard candles? Which theories have been so tested?
I'm not quite sure I understand what you mean. If SN1A are not standard candles then we'll have to simply throw them out as being useful cosmological probes entirely.
I'm not sure what you mean by 'adjusted luminosities'? The apparent luminosity you expected an (assumed standard) SN1A to have at a given redshift depends on the cosmological model, with dark energy parametrized by the equation of state
w. As I said, a varying
c theory will be degenerate with a given dark energy model (i.e. with the equation of state matched to achieve this degeneracy), in terms of the expected luminosity-redshift relation from SN1A observations.
To the question of which theories have been tested then, ALL varying
c theories are constrained through the current constraints of the dark energy equation of state, since they can be mapped to degenerate dark energy models. I don't know the specifics of which
c models exist, what there equivalent equation of state is and therefore which are ruled out and which are allowed.
Remember the the parameter(s)
w(z) are a mathematical convenience. If dark energy is a real exotic energy then it refers to the physical equation of state that it has. In other 'dark energy' theories, which by that I mean 'theories that explain the SN1A results' then the parameter(s)
w(z) don't have the same physical meaning, but the effect of the theory, be in modified gravity, varying speed of light etc, can be represented with these parameters.
I strongly encourage you to read the Linder & Jenkins paper I linked in my previous post. Not all of it, just the first 2 sections (less than 2 pages). That should explain in detail what I mean.
That all being said, varying speed of light theories fail to explain the observed cosmic structure, so there is a good reason they are disfavored. Plus the limits of variations to the fine structure constant pretty tightly constrain any variation in the speed of light.