OK, I guess I will have to accept idea of persistence and the fact that `expansion just got started' but it seems to be a model that has no physical basis or explanation of expansion other than it started, it continued and ties up with the Friedmann model at some later time.
I think you quoted me out of context. I was being somewhat rhetorical; I have no intention of just accepting expansion, or the idea of persistence, without some meaningful explanation, at least, in terms that make some sense to me.
Remember the k term in that one of the two Friedmann eqns.
Actually, I hadn’t forgotten about [k]. In the context of my simple model, I set k=0 in-line with a spatially flat universe. This did not cause my results to deviate in any appreciable ways from the cosmology calculators. Of course, [k] may not be zero, but if I use Friedmann’s equation, as you suggest, then curvature [k] can be defined in the form of an equivalent energy density:
\rho_k = \frac {3kc^2}{8 \pi Ga^2}
If you insert this terms in the calculator, it will increase as an inverse of the scale factor, but is still swamped by the effects of matter (1/a^3) and radiation (1/a^4) because the equation above is powered by (1/a^2). Therefore, within the obvious limitations of this model I don’t see how this particular definition of (k) can provide an answer to the questions being posed. So while the energy density model can be played backwards in time, it appears that the density components used by this model cannot explain the initial recession velocity associated with Hubble’s constant. Therefore, it doesn’t seem unreasonable to ask `
what’s missing`? I have stated from the outset that this was a learning process for me, i.e. an interest. Therefore, I accept the limitations of my understanding, but have endeavoured to analyse the model and read deeper into the issues, aided by help from this forum. So far, my reading suggests that inflation and baryogensis was over in the first 10^-35 of a second. The fundamental forces had unravelled in the first second and nucleosynthesis took place in the first 3 minutes. However, the issue of what drove inflation appears unanswered, especially if the pressure of the primordial plasma, i.e. radiation, only acted as a source of gravitation. However, the following quote is taken from Wikipedia may allude to a missing component:
In physical cosmology, cosmic inflation is the idea that the nascent universe passed through a phase of exponential expansion that was driven by a negative-pressure vacuum energy density.
I have no idea whether dark energy is a facet of vacuum energy, but dark energy's attribute of [w=-1] and its calculated energy density doesn’t seem capable of explaining the primordial expansion. As such I am assuming cosmology will need to become evermore dependent on quantum theory to provide a more rational hypothesis for the earliest phases of the cosmological model.
Persistence is explained by the equation. There is no better explanation.
I am sorry, this does not seem like an explanation, more of a definition where the
`limits of inference` are being exceeded and possibly, as you have indicated, we will just have to wait for a more verifiable theory that puts us on firmer ground. However, I think the article you referenced in #21 is an excellent introduction to some of the ideas, which might one day explain what is missing from the current model:
p.2 For, general relativity completely ignores quantum effects and, over the last century, we have learned that these effects become important in the physics of the small.
p.27: These are just the type of omens that foretell the arrival of a major paradigm shift to take us beyond the space-time continuum of Minkowski and Einstein.
As such, the answer may surprise us all. Thanks