https://phys.org/news/2021-10-scientists-hint-sterile-neutrino.html?fbclid=IwAR3QesvJ874rclgYU2IxPaMPc8bu87NZhXQjT7_WL4LdZ3fsplZZXinLn70
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Lawrence, any guesses as to what Dark Matter could be? Nobody can find any evidence of WIMPS and now sterile neutrinos seems to have bit the dust. Would you bet your money on Axions, or some modification of General Relativity (teleparallel gravity perhaps) or none of the above?John K Clark==========
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On Thursday, October 28, 2021 at 9:08:55 PM UTC-5 johnk...@gmail.com wrote:
Lawrence, any guesses as to what Dark Matter could be? Nobody can find any evidence of WIMPS and now sterile neutrinos seems to have bit the dust. Would you bet your money on Axions, or some modification of General Relativity (teleparallel gravity perhaps) or none of the above?
John K Clark
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I have no commitment to any particular theory. Dark matter might turn out to be some new physics involving mass-energy in an entirely different form from what we traditionally know as particles or fields. Dark energy is most likely some sort of vacuum energy, where the big unknown is how the vacuum energy is so small compared to what QFT predicts.
This is a nonlocality to quantum gravitation that liberates us from the Wightman conditions on QFT amplitudes on spatial surfaces. Gravitation has a type of nonlocality, where p_μ = T_{μν}e^ν is a momentum and we might want to evaluate this with a Gauss-law ∮ p_μ dx^μ = ∫∫∇_ν p^μ dx^ν∧dx^μ. The covariant derivative will act on the basis vector e_ν in the definition of the 4-momentum and this will generate a connection term. This is a nonlocalization of momentum-energy in general relativity. Momentum-energy is generally specified only in a very local region that is nearly flat. In the case of Petrov type D solutions for black holes energy can be specified globally with an ADM mass. In general spacetimes though these conservation laws occur only when there is a Killing vector that defines a Noether theorem on symmetry and conserved quantity.
Quantum gravitation is then because of this nonlocalizability such that local operators or amplitudes cannot be as freely specified. Across an event horizon amplitudes on either side are complementary to each other, and this fixes any gauge freedom between them. These fields and the resulting Hilbert space cannot be partitioned across the horizon; this is a topological condition on the occurrence of fields.
LC
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But even if low energy SUSY is ruled out, isn't it possible that supersymmetric particles would exist but at much higher energies than the LHC can reach, and if so couldn't such particles still fill the role of WIMPs in dark matter theories? That's what I was saying about the landscape model in string theory, I thought that at least some advocates of the landscape believed in supersymmetry but saw no particular reason to believe it would be a low-energy version that would solve the hierarchy problem. For example, when I was looking for info on this I found this quote from p. 259 of the book Naturalness, String Landscape and Multiverse:"We should emphasise, however, that low-scale SUSY is certainly not a prediction of string theory. 10d stringy SUSY may be broken directly in the compactification process (e.g. through a non- Calabi–Yau compactification) or at any energy scale between KK-scale and weak scale."