solar corona heating puzzle,” says Ishikawa. “This is a long-standing 
mystery concerning the mechanism by which the outermost atmosphere of 
the sun—its corona—is at a much higher temperature than the sun’s 
surface... Our work shows that the interaction between neutrinos and photons liberates energy that heats up the solar corona.”
  inversion symmetry breaking....a parity violating shift of the polarization direction of the photon,... the transition probability of a massive neutrino to a neutrino and photon that is derived from ...are not constrained by masses....
 The electroweak Hall Lagrangian shows a new interaction between a 
neutrino and photon in magnetized plasma. This causes an electroweak 
Hall effect between the photon and a pair of neutrinos with the same 
origin as the electronic Hall effect in the semiconductor. 
https://www.sciencedirect.com/science/article/pii/S266603262300039X 
 Topological interaction of neutrino with photon in a magnetic field — 
Electroweak Hall effect” by Kenzo Ishikawa and Yutaka Tobita, 12 August 
2023, Physics Open.
 French physicist Oliver Costa de Beauregard, Professor of Theoretical 
Physics at the Institut de Physique Theorique Henri Poincare (Faculty of
 Sciences, Paris) who is also Director of the Centre National de la 
Reserche Scientifique (C.N.R.S.). Costa de Beauregard suggests that such
 transmutations neither takes place through strong interactions, nor 
through electromagnetic forces, but through the weak interaction. This 
takes place through the neutral current of the intermediate vector 
boson, the so called Zo, particle recently discovered by particle physicists. Kervran's reaction for a biological transmutation from Potassium (K) to 
Calcium (Ca) in germinating oats is thus explained as being Initiated by
 neutrino capture (from cosmic rays) and the weak interaction follows 
mediated by the Z, neutral current (the Zo probably existing as a virtual particle):-
 http://www.levity.com/alchemy/kervran.html
 involving the absorption of photons of light from the sun, but also weak
 interactions that can effect the nuclear structure of matter, activated
 through the participation of cosmic energy in the form of neutrinos 
that stream down upon the earth from the depths of the universe. 
 
 neutrinos being the same "v" as in this equation:
https://www.researchgate.net/publication/350720414_Topological_interaction_of_neutrino_with_photon_in_the_magnetic_field_--_Electroweak_Hall_effect/link/606e750992851c8a7baf3d62/download
not invariant under three dimensional rotations and inversions.
it's a noncommutative Wick rotation!
 parity violating shift of the polarization direction of the photon, Farady
rotation. 
citing: 
https://www.nature.com/articles/ncomms2866
Quantum Faraday and Kerr rotations in graphene
https://oszkdk.oszk.hu/storage/00/00/80/26/dd/1/Biology_Can_Transmutate_the_Elements.pdf
Louis Kervran, "Biological evidence of low energy transmutations", Maloine, 1975
(See "Final Note" by Costa de Beauregard)

Ishikawa, K. (1985). Axial anomaly in three dimensions and planar fermions. Physical Review D, 31(6), 1432–1442. doi:10.1103/physrevd.31.1432
 




https://www.global.hokudai.ac.jp/blog/new-insights-into-neutrino-interactions/
We have revealed, however, how neutrinos and photons can be induced to 
interact in the uniform magnetic fields of the extremely large scale—as 
large as 103 km—found in the form of matter known as plasma, 
which occurs around stars.” Plasma is an ionized gas, meaning that all 
of its atoms have acquired either an excess or a deficiency of 
electrons, making them negatively or positively charged ions, rather 
than the neutral atoms that can occur under everyday conditions on 
Earth.
 https://jeanbel.math.gatech.edu/Publi/JMathPhys_35_5373.pdf
 the extra term arising out of the noncommutative
geometry is the direct result of the dark energy which thus also features in
the modified standard model Lagrangian.
 https://arxiv.org/pdf/0904.3639.pdf
 B.G. Sidharth on the noncommutative neutrino

 https://www.kerwa.ucr.ac.cr/bitstream/handle/10669/88509/Diotima.pdf?sequence=1
 Examples of noncommutative geometrical spaces
Joseph C. V´arilly
 https://www.degruyter.com/document/doi/10.1515/rams-2020-0032/html?lang=en
 
 
 
 
 
       The presence of negative indices of refraction in one-dimensional (1D) disordered metamaterials strongly sup-presses Anderson localization due to the lack of phase ac-cumulation during wave propagation, which thus weak-ens interference effects necessary for localization [14]. Asa consequence, an unusual behaviour of the localizationlengthξat long-wavelengthsλhas been observed [14–16]. This is unlike the well-known quadratic asymptoticbehaviourξ∼λ2for standard isotropic layers (see,e.g.[17]). It can be seen that the metamaterial configurationshave an effect on the magneto-optical transport propertiesof the electromagnetic waves.The presence of negative indices of refraction in one-dimensional (1D) disordered metamaterials strongly sup-presses Anderson localization due to the lack of phase ac-cumulation during wave propagation, which thus weak-ens interference effects necessary for localization [14]. Asa consequence, an unusual behaviour of the localizationlengthξat long-wavelengthsλhas been observed [14–16]. This is unlike the well-known quadratic asymptoticbehaviourξ∼λ2for standard isotropic layers (see,e.g.[17]). It can be seen that the metamaterial configurationshave an effect on the magneto-optical transport propertiesof the electromagnetic waves.