Recent content by mitchell porter
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Graduate Quaternionic Rays instead of Complex
https://www.maths.usyd.edu.au/u/athomas/FunctionalAnalysis/daners-functional-analysis-2017.pdf Corollary 18.7 btw I tested the ubiquity of this result by googling "functional analysis textbook" and looking for it in the textbooks that had online copies. I found it in the third online textbook...- mitchell porter
- Post #41
- Forum: Beyond the Standard Models
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Graduate Seiberg Duality (or dualities)
There are some recommendations here https://imaginarypotential.wordpress.com/2008/03/19/susy-qcdseiberg-duality-reading-list/ I used to rely on the start of Strassler for the basics. Seiberg-Witten theory is a whole different thing! Seiberg duality is to a large extent about anomaly...- mitchell porter
- Post #2
- Forum: Beyond the Standard Models
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Graduate Quaternionic Rays instead of Complex
It's in the textbooks that all infinite-dimensional separable Hilbert spaces are isomorphic. They have the same countable infinity of dimensions, and that's it. You have to add extra structure, like singling out a specific family of automorphisms of the Hilbert space, to get a representation of...- mitchell porter
- Post #25
- Forum: Beyond the Standard Models
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Graduate Quaternionic Rays instead of Complex
Are you familiar with how quantum field theory is developed in textbooks? In a classical field theory, a field has a value at every point in space, and there is also a conjugate field momentum (rate of change of the field) at every point in space. In a quantum theory, via the correspondence...- mitchell porter
- Post #21
- Forum: Beyond the Standard Models
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Graduate Quaternionic Rays instead of Complex
I have understood a small part of what Trifonov is doing, and I'll describe it here so people can see how weird or imaginative it is. In ordinary quantum mechanics, you have a Hilbert space in which everything is complex-valued, and the physical states correspond to the "rays" in Hilbert space...- mitchell porter
- Post #14
- Forum: Beyond the Standard Models
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Graduate Quaternionic Rays instead of Complex
Can he use this new formalism to describe black holes, the hydrogen atom, anything real?- mitchell porter
- Post #7
- Forum: Beyond the Standard Models
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Undergrad Is Gravi-GUT a candidate theory of everything?
The theorem is a statement about the S-matrix of a QFT with interactions. One interpretation is that if you have hybrid symmetries, you can't have interactions. See the last two comments in this thread...- mitchell porter
- Post #15
- Forum: Beyond the Standard Models
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Graduate Why Does the Standard Model Use Six Dimensions for Probability Calculations?
"Gravity and electroweak sector from symmetry breaking of an SO(3,3) BF theory" (Wesley, Singh, Isidro) It seems the authors have developed the idea as an offshoot of Tejinder Singh's theory of everything, but this paper does also stand alone. My own comments on this concept are in #5 of this...- mitchell porter
- Post #22
- Forum: Beyond the Standard Models
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Graduate What is new with Koide sum rules?
I am very short of time so I will just briefly note "Generating the fermion mass hierarchy at the TeV scale" (Arkani-Hamed et al) I can't think of another paper by Arkani-Hamed that tries to explain the distribution of fermion masses (as opposed to e.g. the origin of the Fermi scale as a...- mitchell porter
- Post #319
- Forum: Beyond the Standard Models
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Graduate "GR from RG" (dynamical gravity from renormalization group flow)
There's a paper from Iran making a startling claim that at least survives initial scrutiny: "GR from RG: Gravity Is Induced From Renormalization Group Flow In The Infrared" (Sheikh-Jabbari, Taghiloo) There is an old idea due to Sakharov, called induced gravity, according to which there might...- mitchell porter
- Thread
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- Forum: Beyond the Standard Models
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Graduate What is new with Koide sum rules?
"A Z3-symmetric Quantum Chromodynamics" by Richard Kerner, a French physicist now in his 80s who has published in almost every area of fundamental physics. Here he is writing down a generalized Dirac equation in which a quark color triplet (red, green, blue states) is described by a 12-component...- mitchell porter
- Post #317
- Forum: Beyond the Standard Models
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Graduate The wrong turn of string theory: our world is SUSY at low energies
1) "Unified analysis of screening masses for vector and axial-vector mesons and their diquark partners in the Contact Interaction model" discusses masses of constituent quarks (page 4, Table II), mesons (Tables III-VII), and diquarks (page 13, Table VIII). The constituent masses are described as...- mitchell porter
- Post #349
- Forum: Beyond the Standard Models
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Graduate What is new with Koide sum rules?
There's a paper from Shandong University in China which I think will be my approach to the neutrino masses going forwards, at least when thinking within the framework of the waterfall. "Further study on the lepton mass spectra and flavor mixing with S_3L x S_3R flavor symmetry" (Hu, Li, Liang...- mitchell porter
- Post #316
- Forum: Beyond the Standard Models
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Graduate Dasgupta et al., What is the alternative to a unique dS vacua?
It turns out that the 500-page paper had a forerunner in 2000 that's just 100 pages, so it might be easier to read. :-) "de Sitter Space as a Glauber-Sudarshan State" (Brahma, Dasgupta, Tatar) This paper starts with a review of the De Sitter debate in quantum gravity and string theory. The...- mitchell porter
- Post #2
- Forum: Beyond the Standard Models
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Undergrad Strings 2025 Conference: Insights, Criticisms, and Key Highlights
An anonymous string theorist ("Stringmaster") showed up at Peter Woit's blog to state an abbreviated version of what they think this century's progress in string theory has been about: https://www.math.columbia.edu/~woit/wordpress/?p=15348#comment-252759 To me, the prose looks like it's been...- mitchell porter
- Post #30
- Forum: Beyond the Standard Models