Son sorry for the delayed response but that is just life.
General Relativity is usually written in units where G(Newton's constant) and c(the speed of light) are set to 1. This is because their presence just clutters up intermediate calculations. They can always be restored at the end of a calculation when you want to compare results to experiment.
is a geometric factor and is usually kept since it cancels out factors coming from areas of circles. One could work in "circle units" where the equations wouldn't have this factor, but there isn't a need to, unlike the case with G and c.
I understand you could not present the field equation in a reasonable way because of all the deep calculations you are performing. I view your equivocations as an avoidance of omission.
Further more, which units one uses are irrelevant to this discussion as we are not talking about units.
That is an assumption on your part.
Of course, the interesting thing is that one of the terms introduced predicts an accelerating universe, which we then saw in 1998. Hence these papers from the 1970s contain predictions we saw later. There is nothing wrong with a piece of theory being written before observation of its predictions (in fact it's better isn't it?, a genuine prediction). Some people were expecting the accelerating universe observations before 1998 for this reason.
Yes one of the term predicts an accelerating universe, it also predicts an expanding version a static version and if stretched predicts a contracting version.
You said the new terms had no physical effects. I said they do, they effect the anisotropies of the CMB. Hence the terms predict physical consequences, refuting your claim.
They actually are observed in case you are wondering. Look at any papers dealing with the data from the WMAP studies of the Cosmic Microwave background to see this.
The CMB only shows what the value of the cosmological constant must take. It is interesting that NO values can be presented from Quantum field theory to match the prediction. If you us the contributions of say those found in the Casimir Effect the following value for the cosmological constant is infinity.
Theory is one thing proof is another.
You claimed that the values of the parameters
need to be adjusted constantly or tuned.
The values of alpha and beta are renormalization parameters. In your citation there is reference to solutions by the Bunch-Davis vacuum which some claim is not even relevant to the primordial universe. My point being that any solution you wish to examine is dependent on the evolutionary era of the Big Bang. Making matters even worse is that if the universe is non-local what can be said about these parameters, them being fixed as you claim.
I said they are not, their values are explicitly predicted by quantum field theory.
You miss the whole point these values fine tune the cosmological constant, the value of the constant is what is in question.
The full proof that this is true is given in the 2007 paper by the General Relativity group at Barcelona (Guillem Perez-Nadal, Albert Roura, Enric Verdaguer) in their paper:
"Stability of de Sitter spacetime under isotropic perturbations in semiclassical gravity"
I believe I have found the document and cannot deem it as support to your claims. If you have the exact URL please provide it.
under isotropic perturbations in semiclassical gravity = the effects of quantum matter, specifically the extra terms introduced by quantum matter.
The rest of your response is a nice little bloviation on CMB. Thanks for that.
It was once thought the cosmological constant was zero (things were nice), if vacuum energy is set to zero (or renormalized to zero) by just saying that the absolute value of energy density cannot be observed you cheat Einstein. Because all kinds of energy create curvature and there is no way you can take the huge quantum values (zero point energy) seriously.