5 ms·
As I understand it, currently everything points to space and time (really, spacetime) not being discrete. I'm copying and pasting a previous reply I made the l
by lodi 7y ago
As I understand it, currently everything points to space and time (really, spacetime) not being discrete. I'm copying and pasting a previous reply I made the last time this came up.
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I'm no physicist, but the layman explanation I've heard is that the concepts of Planck length and Planck time do not imply that spacetime is discretized into little "voxels"; instead these quantities are just limits on the uncertainty of any possible measurement.
As I understand it there are two contributing facts:
a) the Heisenberg uncertainty principle states that there's a tradeoff between certainty in position vs momentum, so if you're more certain in a particle's position you're less certain of its momentum. (For photons, momentum is proportional to frequency, i.e. wavelength, and frequency is proportional to energy.)
b) By mass-energy equivalence, anything with energy has mass, therefore higher frequency photons are more "massive". A single photon of sufficiently high frequency would form a black hole.
Putting those two together, to measure distances accurately you need higher and higher frequency photons with shorter and shorter wavelengths. For example, radar creates blurry images at ~5cm wavelengths, while ordinary photographs can be razor sharp with wavelengths of only ~500nm. The Planck length is just the wavelength at which the photon would have so much energy that it would collapse into a black hole and break our current mathematical models. That's why it's nonsensical--with current models--to talk about lengths smaller than a Planck length, but it doesn't mean that space itself is quantized. Similar argument for time.
(Also, the same logic applies to other particles like electrons, protons, and even up to macroscopic items like baseballs; everything has a wavelength...)
- posix_compliant 7y agoSemi-related question: if photons can have various frequencies, does that mean protons can have various frequencies?
- skygazer 7y agoAKA temperatures?
- posix_compliant 7y agoI think temperature is a property based on the average kinetic energy of particles in a system. The frequency of a proton, I imagine, would be an intrinsic property.
- hcs 7y agoI think so: https://en.wikipedia.org/wiki/Matter_wave https://en.wikipedia.org/wiki/Matter_wave