Apologies for me getting emotional about this matter.
There are two issues here:
1. Cyclic universe – completely ruled out by experimental data because our present universe can’t and will never collapse. Dark energy ensures that.
2. Avoidance of singularity – this has been a theoretical football for the past 92 years, ever since Hubble proved the expansion of the universe in 1925. That the universe may have begun as a singularity has been a theoretical possibility since then. Way back before that, by the year 1610 Kepler knew that the universe couldn’t be infinite in both time and space when he formulated what later became known as Olbers Paradox.
For me, the final proof that the universe began in a singularity was the proof that any disturbance on the surface of a Kerr black hole by an infalling mass created disturbances within that black hole that closed off the throat of the wormhole. This theoretical proof didn’t occur all at once but slowly in a series of three papers by three different authors over a period of about a decade. The first concluded that closure of the wormhole by gravitational waves was a possibility, the second that it was a high probability, the third that it couldn’t be avoided. I asked for clarification about this on the Physics Forum, and that’s what we unearthed.
Why a Kerr black hole – because conservation of angular momentum says that it’s a theoretical certainty that every black hole is a Kerr black hole.
Some theoretical physicists disagreed with this. One widely popularised one said that a Kerr black hole could be held open by exotic matter – matter with an inverse relationship between pressure and density – but it was agreed on the Physics Forum that exotic matter of this type could not exist (except as a metamaterial, and that isn’t any use here). A second widely popularised one was that dark energy could hold a Kerr black hole open. Again this can’t happen because it requires a type of dark energy that is completely ruled out by astronomical observation.
And now this new paper on avoidance of singularity. I’m not even going to read the technical article here because it has to rely on some unsubstantiated assumption.
So much for the theory. Now for the astronomical observations.
The maximum possible size for a singularity-avoiding big bang has shrunk remarkably, and is still shrinking. Even before the advent of cosmic inflation it had been proved by observation that the present observable universe was once shrunk into a volume smaller than that of a single subatomic particle. Now we have astronomical observations pushing back to a time 10 -36 seconds after the big bang singularity. One year after the big bang, the diameter of the present observable universe was 1 parsec, within spitting distance of the diameter of a black hole containing the same mass. 10 -6 seconds after the big bang the entire mass of the observable universe was jammed into a region 1 metre across.
The classical radius of an electron is 10 -16 metres. So experimental observations tell us that the entire mass of the observable universe after 10 -36 seconds was crammed into a ball whose diameter was a hundredth of a trillionth of the diameter of an electron.
Anyone who has the sheer unadulterated gall to simultaneously claim that the entire observational universe fitted into a ball a hundredth of a trillionth of the diameter of an electron and yet still misses a singularity is a candidate for a mental asylum. That’s 10,000,000,000,000,000,000,000,000,000,000,000,000,000,000 times closer to the singularity of a black hole than to its event horizon.