Timeline for From a quant-info perspective why are the reals indexing irreps of the Lorentz group less suspect than continuousness in space-time and general QM?
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Jul 6, 2022 at 18:03 | history | bounty ended | CommunityBot | ||
Jun 29, 2022 at 11:45 | comment | added | East | Thanks for the answer and it is interesting to hear that closer attention to distributions can also potentially remove UV infinities. I do think however that the core of this question (though I accept I motivated it by QFT) is really about the use of the reals in the Lorentz irreps and how this relates to the info perspective. I also think that the 'information' perspective is misunderstood here. The universe doesn't need to be a computer for us to find that an infinite amount of information, which is physical and must be encoded in physical systems, in finite space is suspect. | |
Jun 28, 2022 at 18:28 | comment | added | Valter Moretti | No, I agree with you! I am saying with you that they are not the problem, just a complicated way to approach the problem…I wrote my comment in support to your answer…+1 | |
Jun 28, 2022 at 18:02 | history | edited | Mozibur Ullah | CC BY-SA 4.0 |
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Jun 28, 2022 at 17:59 | comment | added | Mozibur Ullah | @Valter Moretti: Are you saying that I think that UV infinities are the problem when I manifestly said they weren't? | |
Jun 28, 2022 at 17:43 | comment | added | Mozibur Ullah | @Valter Moretti: Why are you quoting back my answer to me? I already said that "the UV infinities ... come from the indiscriminate use of distributions". I find this baffling. Did you read my post? | |
Jun 28, 2022 at 16:50 | comment | added | Valter Moretti | In fact, infinities are not the problem, the problem is that the use of local interactions gives rise to ambiguously defined operations with distributions. These ambiguities are the finite renormalization terms. It is not necessary going to infinity and coming back to finite to get them. | |
Jun 28, 2022 at 16:42 | history | answered | Mozibur Ullah | CC BY-SA 4.0 |