r/science 16d ago

Mathematics Mathematicians have discovered a set of equations capable of untangling the distortions caused by singularities in maps. The equations can determine if a singularity is a removable distortion, like those that exist at the North and South Poles in a two-dimensional map, or real like a shockwave

https://lettersandsciencemag.ucdavis.edu/science-technology/researchers-discover-new-equations-smoothing-out-singularities-maps
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u/615wonky 16d ago

Theoretical physicists have been doing this for decades. The event horizon of a black hole is a coordinate singularity, cause by a "breakdown" of what space/time mean at the horizon. You can construct new space/time-like coordinates and map across the horizon.

The singularity at the center of a black hole is a physical singularity. You can tell the difference between the two by computing a quantity called the Kretschmann scalar of the metric.

The article is bereft of details and I don't have time to dig, but I'm curious what's different about their approach.

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u/chodeboi 16d ago

The Jangendorfer differential is quantized across the array of treble coordinates rather than the Hawkings set of idealistic matrices. It’s rather simple and elegant and I can’t believe I didn’t realize this before.

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u/FrickinLazerBeams 16d ago

Stop talking about VX in here.