The OT comes off as wanting to discuss magic beliefs, specifically of religion, rather than science. Say, "existence": all we see is existence, so "non-existence" would be an extraordinary claim without any evidence whatsoever. I think those are questions for MagicForums.
However, there is a legit question here:
omegabeta said:
It seems to me that singularities are taken for granted as existing, otherwise there couldn't be a big bang.
No, that is backwards. It was the behavior of general relativity applied to the universe that gave the idea of an initial singularity.
"In 1927, the Belgian Catholic priest Georges Lemaître proposed an expanding model for the universe to explain the observed redshifts of spiral nebulae, and forecast the Hubble law. He based his theory on the work of Einstein and De Sitter, and independently derived Friedmann's equations for an expanding universe. Also, the red shifts themselves were not constant, but varied in such manner as to lead to the conclusion that there was a definite relationship between amount of red-shift of nebulae, and their distance from observers."
"In 1931, Lemaître proposed in his "hypothèse de l'atome primitif" (hypothesis of the primeval atom) that the universe began with the "explosion" of the "primeval atom" — what was later called the Big Bang. "
[
http://en.wikipedia.org/wiki/History_of_the_Big_Bang_theory ; warning: the article is bad, lacking in references. But it ought to be roughly correct re the timeline.]
It was always a hypothesis without a test (but see below how we can claim it has failed, sort of). It's popularity stems AFAIK from among other reasons that a singularity can generate an infinite set of parameters, and also bind the all to certain values. Exactly what you want for a singular [sic!] Theory Of Everything.
But it was a bad idea. You can't derive a singularity from the semi-classical physics we use so far.* (But see more below on the next question.) And since the LCDM cosmology we have since 2004 is semi-classical, there is no compelling reason to think there is an initial singularity around the time of the Hot Big Bang. The preceding inflationary theory may well have singularities, but it is an open question.
"
The notion that the Universe started with a Big Bang, and that this Big Bang started from a singularity — a point in space and/or a moment in time where the universe was infinitely hot and dense — is not that different, really, from assuming humans begin their lives as infinitely small eggs. It’s about over-extrapolating into the past."
"Moreover, there’s a point of logic here. How could we possibly know what happened at the very beginning of the universe? No experiment can yet probe such an early time, and none of the available equations are powerful enough or usable enough to allow us to come to clear and unique conclusions.
The modern Big Bang Theory really starts after this period of ignorance, with a burst of inflation that creates a large expanding universe, and the end of inflation which allows for the creation of the heat of the Hot Big Bang. The equations for the theory, as it currently stands, can be used to make predictions even though we don’t know the precise nature of our universe’s birth.
Yes, a singularity often turns up in our equations when we extend them as far as they can go in the past; but a singularity of this sort is far from likely to be an aspect of nature, and instead should be interpreted as a sign of what we don’t yet understand."
[
http://profmattstrassler.com/2014/03/21/did-the-universe-begin-with-a-singularity/ ; my bold ]
Here is what we know (and suspect):
[
http://profmattstrassler.com/2014/03/26/which-parts-of-the-big-bang-theory-are-reliable/ ]
Note that the Hot Big Bang, the classical idea of Big Bang, has no singularity and the preceding era of Cold Inflation, is an exponential expansion so indefinite in time. In so much as old ideas placed a potential singularity with superexponential expansion there, they failed the test. Of course, you can always try again. ;)
omegabeta said:
It does this at a rate determined by GRT and the basic pattern is that as the wavelength shortens the gravitational radius increases. Are you saying GRT has nothing to say about a point of convergence?
Semiclassical physics predict such convergences - they are called "black holes". [
http://en.wikipedia.org/wiki/Black_hole ]
Note that the event horizon, where our ability to predict semiclassical continuation stops, (the so called firewall problem;
http://en.wikipedia.org/wiki/Firewall_(physics)) are as far away from the Planck scale as you want by taking large enough black holes (AFAIU).
There is also a semiclassical convergence for wordlines going back in an expanding universe. But what happens there, or for small black holes, "should be interpreted as a sign of what we don’t yet understand".
*Semiclassical physics is, AFAIU, relativistic quantum fields on a background of weak (roughly linear) gravity.