@georgeob1,
georgeob1 wrote:Chaos is a word that does indeed imply randomness as you say.
Really, think again. In science and mathematics
chaos means 1. Randomness, a lack of intelligible pattern or combination (for further details search in Wiki: Chaos); 2. Chaos theory - a branch of mathematics and physics that deals with the behaviour of certain non-linear dynamic systems; 3. Polynomial chaos - an expansion in probability theory, invented by Norbert Wiener.
As it is obviously not the case of expanded probability, it is either the lack of intelligible patterns or non-linearity of dynamic systems.
O.K. suppose it is the case of non-linearity. What is the physical interpretation of increasing non-linearity of the Universe with the time to infinity ... and how much linear has been the Universe onto the time of the Big Bang ... and does Infinite Gravity, Infinite Temperature, and out of Nowhere sound to you like 'linear model'?
georgeob1 wrote:But even random variables exhibit some order.
... like for example the function of probability distribution - what is the function of probability distribution of the Singularity, for example, in the present day Universe?
georgeob1 wrote:Not every random occurrence is chaotic
Before talking about random and non-random occurrence, a not entirely bad idea is to prove that the Big Bang can occur at all.
georgeob1 wrote:The "Big Bang Theory" describes a model for the very early stages of the evolution of our universe
What Evolution of Universe - you have less than one Plank time (5.39106 x10exp-44 sec) to create and to assemble everything - launching of the Time, the 'occurrence' of the Singularity, supply of the Energy, and the appearance of the Infinite Temperature (without a heat carrier ... that is no comment).
That 10exp-44 sec seems much more like total collapse (of all sciences at the Big Bang) than Evolution ... of whatever.
Where and when have you proved in a lab that a 0D space can evolve into 3D space ... within one Plank time?
georgeob1 wrote:... that fits in very well with (1) the laws of physics as we know them now;
What about the law of conservation of energy, the second law of thermodynamics, and the law of Boyle-Mariotte at time zero, for example?
georgeob1 wrote:... and (2) observations made by astronomers about the movements of stars and galaxies.
1. You don't know what you are observing - your observations are quadruple integral in 3D space & Time; 2. The red shift in the light spectrum is not an evidence of expanding Universe ... with acceleration ... only, for there are other possible interpretations of that observation as well; 3. The CMB is not 'another evidence' for it is absolutely correlated to the EM spectrum and to the light respectively. Where have you proved that the CBM is not reflected and diffused light from the edges (if any) of the Universe.
georgeob1 wrote:Moreover predictions of associated phemomena based on this model and the laws of physics as we understand them have indeed been subsequently verified by observation.
All the predictions (so far there are any of the kind) are within the Quantum Mechanics ... and the Quantum Mechanics and the Big Bang 'theory' are parallel universes.
georgeob1 wrote:The model is not fully complete
Or sooner it cannot be launched at all, for it is missing the plausible explanations at time zero.
georgeob1 wrote: ... and there are indeed elements in our understanding of it and the laws governing physical reality about which most scientists regard as not yet fully understood
... and that will hardly be ever understood in the way the evidences are viewed and misinterpreted - we have a 'theory' of reinforced concrete, and "if the data do not match the theory - so much worse to the data" (G.W.F.Hegel)