What we know is that we use mathematical models based on the continuity of work, time and space (and on the discreteness of matter and electricity) and until now we have not seen any experiment where a discrepancy between predicted and measured values could be attributed to the falseness of the supposition that work, time and space are continuous.
Obviously this does not exclude the possibility that in the future some experiments where much higher energies per particle are used, allowing the testing of what happens at much smaller distances, might show evidence that there exists a discrete structure of time and space, like we know for matter.
However, that has not happened yet and there are no reasons to believe that it will happen soon. The theory about the existence of atoms is more than 2 millennia old, then it has been abandoned for lack of evidence, then it was revived at the beginning of the 19th century, due to accumulated evidence from chemistry, and it was eventually confirmed beyond doubt in 1865, when Johann Josef Loschmidt became the first who could count atoms and molecules, after determining their masses.
So the discreteness of matter had a very long history of accumulating evidence in favor of it.
Nothing similar applies to the discreteness of time and space, for which there has never been any kind of evidence. The only reason of the speculations about this is the analogy made with the fact that matter and electricity had been believed to be continuous, but eventually it has been discovered that they are discrete.
Such an analogy must make us keep an open mind about the possibility of work, time and space being discrete, but we should not waste time speculating about this when there are huge problems in physics that do not have a solution yet. In modern physics there are a huge amount of quantities that should be computable by theory, but in fact they cannot be computed and they must be measured experimentally. Therefore the existing theories are clearly not good enough.
That presentation is like all the research that has been published in this domain, i.e. it presents some ideas that might be used to build an alternative theory of space-time, but no such actual theories.
There are already several decades of such discussions, but no usable results.
Time and space are primitive quantities in any current theory of physics, i.e. quantities that are assumed to exist and have certain properties, and which are used to define derived quantities.
Any alternative theory must start by enumerating exactly which are its primitive quantities and which are their properties. Anything else is just gibberish, not better than Star Trek talk.
However, the units of measurement for time and length are not fundamental units a.k.a. base units, because it is impossible to make any physical system characterized by values of time or length that are stable enough and reproducible enough.
Because of that, the units of time and length are derived from fundamental units that are units of some derived quantities, currently from the units of work and velocity (i.e. the unit of work is the work required to transition a certain atom, currently cesium 133, from a certain state to a certain other state, i.e. which is equal to the difference between the energies of the 2 states, while the unit of velocity is the velocity of light in vacuum).
What we know is that we use mathematical models based on the continuity of work, time and space (and on the discreteness of matter and electricity) and until now we have not seen any experiment where a discrepancy between predicted and measured values could be attributed to the falseness of the supposition that work, time and space are continuous.
Obviously this does not exclude the possibility that in the future some experiments where much higher energies per particle are used, allowing the testing of what happens at much smaller distances, might show evidence that there exists a discrete structure of time and space, like we know for matter.
However, that has not happened yet and there are no reasons to believe that it will happen soon. The theory about the existence of atoms is more than 2 millennia old, then it has been abandoned for lack of evidence, then it was revived at the beginning of the 19th century, due to accumulated evidence from chemistry, and it was eventually confirmed beyond doubt in 1865, when Johann Josef Loschmidt became the first who could count atoms and molecules, after determining their masses.
So the discreteness of matter had a very long history of accumulating evidence in favor of it.
Nothing similar applies to the discreteness of time and space, for which there has never been any kind of evidence. The only reason of the speculations about this is the analogy made with the fact that matter and electricity had been believed to be continuous, but eventually it has been discovered that they are discrete.
Such an analogy must make us keep an open mind about the possibility of work, time and space being discrete, but we should not waste time speculating about this when there are huge problems in physics that do not have a solution yet. In modern physics there are a huge amount of quantities that should be computable by theory, but in fact they cannot be computed and they must be measured experimentally. Therefore the existing theories are clearly not good enough.
Umm SpaceTime is likely NOT to be fundamental or continuous
https://youtu.be/GL77oOnrPzY?si=nllkY_E8WotARwUM
Also Bells Therom implies no locality or non realism which to me furthers the nail on the coffin of spacetime
That presentation is like all the research that has been published in this domain, i.e. it presents some ideas that might be used to build an alternative theory of space-time, but no such actual theories.
There are already several decades of such discussions, but no usable results.
Time and space are primitive quantities in any current theory of physics, i.e. quantities that are assumed to exist and have certain properties, and which are used to define derived quantities.
Any alternative theory must start by enumerating exactly which are its primitive quantities and which are their properties. Anything else is just gibberish, not better than Star Trek talk.
However, the units of measurement for time and length are not fundamental units a.k.a. base units, because it is impossible to make any physical system characterized by values of time or length that are stable enough and reproducible enough.
Because of that, the units of time and length are derived from fundamental units that are units of some derived quantities, currently from the units of work and velocity (i.e. the unit of work is the work required to transition a certain atom, currently cesium 133, from a certain state to a certain other state, i.e. which is equal to the difference between the energies of the 2 states, while the unit of velocity is the velocity of light in vacuum).