so says GR. not quantum mechanics.
what’s that line about “all we have are theories”, again? and that we’re inevitably going to learn more?
So we have two theories where the “interpretations” differ. General relativity has been established a long time ago and has not been shown incorrect - so far. It may not be able to explain the singularity, because in the singularity the laws of physics are fundamentally different. As you said, even quantum mechanics cannot explain the singularity, we shall need something new (quantum gravity) for that.
So, all we can say that according to the best theory so far, the time within a singularity is zero.
There is another thing. Time is very problematic in many respects, it is much less understood than many aspects of reality. The equations which use time as a variable would be correct if we substituted “t” with “minus t”, so, in theory time could go in the “other diection”. It does not, and no one knows why.
Also, according to some assumptions, time is not a continuous phenomenon, it moves in discrete values, and the smallest unit of time is the Planck’s constant. If that is true, then the time will actually go down zero before we need infinite mass and curvature.
It is possible that there will be a unified theory, which will incorporate GR as a subset, and which will enable us to understand the behavior of physics within a black hole, or the singularity.
Up until that happens, the best approximation is to say that within a black hole and the singularity the “time” goes to zero.
We can speculate as much as we want, but it is just that: speculation.
ok (with the caveat that our principled inability to observe the conditions proximate to the initial singularity doesn’t prevent us from acquiring knowedge about it).
The key word here is “knowledge”. We speak of knowledge when the mental model of reality correctly reflects reality, meaning that the model allows us to make predictions about reality, and when the measurements verify that our predictions were accurate. Knowledge is not possible without an information channel, which allows observations and measurements.
To our current knowledge there is no physical phenomenon which will espace a black hole. Therefore knowledge cannot be obtained from within a black hole. That may, of course change. There may be new theories, with measurable predictions which can be verified, and then we shall be obtain knowledge about the singularity or the black holes.
Up until then we are speculating, theorizing, which is a great way to spend time, but nothing more.