Considerable progress in understanding of neutrino masses

Juno collaboration working in China has made very interesting progress in determination of neutrino masses. Google Gemini informs that the mass squared differences are unexpectedly small. The mass squared differences are reported to be Δm₂₁²=(7.50+/- 0.12)×10^-5 eV². Δm₃₁²= 2.509 ×10^-3 eV². Assuming .5 eV mass for electron neutrino,the mass differences would be about Δm₂₁=1.61× 10^-5 eV and Δm₃₁ =6.13×10^-4 eV.

In the TGD framework, p-adic thermodynamics predicts lepton masses (see this) apart from p-adic mass scale, which corresponds to a power of 2. In the TGD context the finding would mean that the p-adic length scales are the same for all 3 neutrinos. For charged fermion families (e,μ,τ) masses are predicted to differ also because they correspond to different genera g=(0,1,2). This also implies that the CKM mixing is very nearly maximal.

The first guess for p-adic mass scale would be k=167, which is the largest of the Gaussian Mersenne primes M_G,k =(1+i)^k-1, k = 151, 157, 163, 167 appearing in the length scale range 10 nm-2.5 μm assignable to the DNA. The mass of k=167 electronic neutrino is .49 eV in absence of CKM mixing. The mass for maximal mixing would be 1.285 eV, which is perhaps too large. For k=163 the mass would be scaled down to .255 eV. k=163 is a very special prime in that it also corresponds to an Eisensteinian Mersenne prime.

See for instance the article A refined view of the phenomenology of hadron physics and p-adic mass calculations or the chapter Massless states and Particle Massivation.