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I took an entire graduate course in QM and a quantized Universe does, in fact, seem pixelated. That's exactly how I explain it to people. There's simply a finite level to how closely you can zoom in.
isn’t the most recent explanation on planck’s length saying that we simply can’t observe further down, but it is hypothesised that smaller lengths actually exist?
Just searched a bit, looking into how the length came to be and found this from wikipedia. https://simple.m.wikipedia.org/wiki/Planck_length "The Planck length does not have any precise physical significance, and it is a common misconception that it is the inherent pixel size of the universe." What I found elsewhere was that it's the only length one can get out of the universal constans of G, c and h. So as far as I know with my limited know how is that the planck length is useful or more convenient than other lengths in quantum physics.
No. The math has the indivisibility built right into it, and our countless observations agree. There's no smaller length, because then the probability distributions between different particles start overlapping. There's a limit to how closely you can zoom in, and we can describe that limit mathematically. We don't know why it's there, but it's certainly there.
can you post a source for this?
I can't post a source for all of QM, no. I can share my class notes with you, but you might as well look into it. There are lots of quality online classes about it. You can go digging for info about Planck's constant, that's where it's "built into" the math.
Here's a good explanation from PBS Spacetime https://youtu.be/tQSbms5MDvY
but he’s not saying that the Planck’s length is the pixel size of our universe.
Reference: https://www.physicsforums.com/insights/hand-wavy-discussion-planck-length/
And neither was I. But what he IS saying is that there's a limit to how closely you can measure length in any dimension. Thinking of it like pixels is a useful metaphor because that's an indivisible unit, and it's what's behind Planck's constant. But a Planck length is really only relative to quantum gravity, not QM generally.