Are space and time really quantized?

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Is it really true that space and time are quantized or is it just a mathematical abstraction? If it is true, then what happens to this quantization under special relativity and general relativity? Is the minimum quantized distance different at the surface of a black hole than it is in the middle of deep space?
 
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The quantization of spacetime remains an open problem, both on the theoretical and experimental sides. Theoretically, there are several attempts to create consistent frameworks for quantum gravity (loop quantum gravity, string theory, ...), but there are still numerous difficulties. On the experimental side, the problem is accessibility of the scales where quantum gravitational effects become relevant. We simply lack the technology to access the Plank scale.
 
All successful physical theories today are based on the idea of space-time as a continuum, where space and time are not quantized. The idea that space and time are quantized is just an idea, and there are significant challenges to building a successful theory out of it, as Polyrhythmic said. What the future will hold is anybody's guess.
 
mrezatirgan said:
space and time is quantized. The quantum loop gravity is dealing with this subject. Moreover, according to H particle-paths hypothesis in website Hparticles.com/, the dark matter of SM configuration is converted by normal masses or particles continuously to right-handely expanding expandon of SNr configuration that is confined in an H hall package (i,e, unit of spatial medium) within spatial medium of path-length value 2hbar. It is along with contracton emission of left-handely SPl condiguration within mass medium of path-length value-2hbar

Most of this is pure gibberish, devoid of physical meaning.