/sci/ - Science & Math

>>15250089
Then this pic is about the ultra violet catastrophe itself.
>Max Planck solved this problem around the beginning of the last century.
What Planck proposed was that for each mode, there is a minimum energy that is proportional to the frequency, with a universal constant of proportionality that he introduced. Only integer multiples of the minimum energy can be added to a given mode. This means that given a unit of energy to add to the system, there are only a finite number of places it can be put - modes with energies too high cannot be "excited." Given the integer-multiple constraint, there are in fact only a finite number of way to divide up the given unit of energy to add it to the system.

>>15046072
In the case of space, it's a resolution for spacetime at which point if you don't postulate discreteness absurdities in predictions arise, just as in the case of the ultraviolet catastrophe which led planck to invent quantum physics. picrel. Everything physical is discrete. By the way, another reason infinite resolution can never be verified by the players immersed in the simulation
>At the scale of Planck length, it is meaningless to try to distinguish two points (positions) apart based on the calculation according to the uncertainty principle. Moreover, on the empirical level, if we attempt to investigate any distance smaller than one Planck length with physical experiments, i.e., sending a photon to the space to be studied, a black hole would form due to the high energy/mass (of the aforementioned photon) in comparison to the limitedness of the space we try to confine it in. Thus, no information can ever be revealed if we attempt to investigate any shorter distance than a Planck length

>>15033402
part 2
paper
https://people.csail.mit.edu/nhm/looking-at-nature.pdf