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. Space, time, and energy are all quantized, and maybe even gravity though we haven’t figured that one out yet.
Wikipedia’s description quotes Bernard Carr and Steven Giddings as saying that any attempt to investigate the possible existence of shorter distances [via particle accelerator] would result in black holes rather than smaller objects
You have probably heard of the Heisenberg uncertainty principle? It’s the one about how you can’t both know the position and the speed of an electron or photon, because the observation itself changes the outcome of the other.
Something similar exists for length. If we try to observe things at Plancks length, we introduce issues about whether the thing or space even exists there. The observation of infinitely small space requires infinitely large energy in this space causing a black hole or something. I’m not really sure I get it.
A finite level to how close you can zoom in is very different from pixels. Pixels (or voxels in this case) are indivisible elements of a larger whole that exist along an evenly spaced grid. The universe doesn’t have a Cartesian coordinate system measured in Planck lengths
Pixels (or voxels in this case) are indivisible elements of a larger whole that exist along an evenly spaced grid.
That’s exactly what a Planck unit of spacetime is. And yes, the Universe–like a screen–is divided into an evenly-spaced grid any time you choose a coordinate system.
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. Space, time, and energy are all quantized, and maybe even gravity though we haven’t figured that one out yet.
Why can’t you cut a Planck unit in half?
Wikipedia’s description quotes Bernard Carr and Steven Giddings as saying that any attempt to investigate the possible existence of shorter distances [via particle accelerator] would result in black holes rather than smaller objects
Why, though?
You have probably heard of the Heisenberg uncertainty principle? It’s the one about how you can’t both know the position and the speed of an electron or photon, because the observation itself changes the outcome of the other.
Something similar exists for length. If we try to observe things at Plancks length, we introduce issues about whether the thing or space even exists there. The observation of infinitely small space requires infinitely large energy in this space causing a black hole or something. I’m not really sure I get it.
There are several good YouTubes on it, but this video sort of made sense to me: https://youtu.be/snp-GvNgUt4
A finite level to how close you can zoom in is very different from pixels. Pixels (or voxels in this case) are indivisible elements of a larger whole that exist along an evenly spaced grid. The universe doesn’t have a Cartesian coordinate system measured in Planck lengths
That’s exactly what a Planck unit of spacetime is. And yes, the Universe–like a screen–is divided into an evenly-spaced grid any time you choose a coordinate system.