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Yes. "We discuss a recursive algorithm for the computation of multivariate intersection numbers and provide three different approaches for a direct decompositio
by T-A 6y ago
Yes. "We discuss a recursive algorithm for the computation of multivariate intersection numbers and provide three different approaches for a direct decomposition of Feynman integrals" [1] pretty much says it all.
I'm surprised to see such a technical subject being covered in a popsci article. It's pretty much as far as you can get from the usual fare of big-picture speculation about the interpretation of QM etc. The very last sentence ("it may even foreshadow a new perspective on reality") almost seems like an afterthought, added at the last moment to appease the audience.
[1] https://arxiv.org/abs/2008.04823 https://arxiv.org/abs/2008.04823
- carterschonwald 6y agoIndeed! It’s super cool from a computer algebra perspective along with allowing deeper theoretical physics with computational aids.
- deleted 6y ago[deleted]
- 8bitsrule 6y agoQuotes to show the basic problem and what's been discovered: "Physicists have algorithms to compute the probabilities of no-loop and one-loop scenarios, but many two-loop collisions bring computers to their knees.... "Researchers use computers to essentially guess at millions of relationships and laboriously extract the combinations of integrals that matter.... "[With new cohomology methods] When researchers compute the weights, they see that scenarios with the longest-lasting virtual particles — that is, cases in which the particles become essentially real — shape the outcome the most. ... "Last week Mizera, Mastrolia and colleagues published another preprint showing that the technique has matured enough to handle real-world two-loop diagrams." I've been hoping for a long time that math'ers would make more sense of QM. Fingers crossed.