Yes, the neutrino has a mass, and now we will try to predict it quite accurately.

For this we need to remember a little chemistry. For further explanation, we quote.

“It is more interesting to consider what happens to an electron in a region with linear dimensions smaller than the Compton wavelength of an electron. According to Heisenberg uncertainty in this area, we have a quantum mechanical uncertainty in the momentum of at least m*c and a quantum mechanical uncertainty in the energy of at least me*c^2 :

Δp ≥ mе*c and ΔE ≥ me*c^2

which is sufficient for the production of virtual electron-positron pairs. Therefore, in such a region the electron can no longer be regarded as a "point object", since it (an electron) spends part of its time in the state "electron + pair (positron + electron)". As a result of the

above, an electron at distances smaller than the Compton length is a system with an infinite number of degrees of freedom and its interaction should be described within the framework

of quantum field theory. Most importantly, the transition to the intermediate state "electron + pair (positron + electron)" carried per time ~ λc.е./c

Δt = λc.е./c = 2.4263*10^(-12)/(3*10^8) = 8.1*10^(-20) s

Now we will try to use all the above-mentioned to describe the chemical bond using Einstein's theory of relativity and Heisenberg's uncertainty principle.

To do this, let's make one assumption: suppose that the wavelength of an electron on a Bohr orbit (the hydrogen atom) is the same Compton wavelength of an electron, but in another frame of reference, and as a result there is a 137-times greater Compton wavelength (due to the effects of relativity theory):

λc.е. = h/(me*c) = 2.4263*10^(-12) m

λb. = h/(me*v) = 2*π*R = 3.324 Å

λb./λc.е. = 137

where R = 0.529 Å, the Bohr radius.

Since the De Broglie wavelength in a hydrogen atom (according to Bohr) is 137 times larger than the Compton wavelength of an electron, it is quite logical to assume that the energy interactions will be 137 times weaker (the longer the photon wavelength, the lower the frequency, and hence the energy). We note that 1/137.036 is a fine structure constant, the fundamental physical constant characterizing the force of electromagnetic interaction was introduced into science in 1916 year by the German physicist Arnold Sommerfeld as a measure of relativistic corrections in describing atomic spectra within the framework of the model of the N. Bohr atom (therefore it is also called the constant of Sommerfeld) [78, 79].” See more pp. 99 - 103 http://vixra.org/pdf/1710.0326v4.pdf (Review. Benzene on the Basis of the Three-Electron Bond. (The Pauli Exclusion Principle, Heisenberg's Uncertainty Principle and Chemical Bond)).

And now let us recall such a wonderful discovery as relic radiation. But suppose that the CMB is simply the spectrum of our Universe, and not the “echo” of the Big Bang. CMB is just the spectrum of our Universe, that is, it is the “macro-imprint” of the fundamental quantum world of the entire Universe. The fact that the CMB is the spectrum of our Universe strictly follows from the Interfering Model of the Universe, that is, the model in which each elementary particle fills the entire Universe in the literal sense. See pp. 51 - 52 http://vixra.org/pdf/1710.0326v4.pdf and Volodymyr Bezverkhniy's answer to What is quantum entanglement?

Naturally, if we present the Universe as an interferential picture of all elementary particles, then such a Universe will have a certain spectrum. Moreover, in such a spectrum, the maximum will be determined by elementary particles, of which there will be more. It is clear that in our Universe most of all is neutrinos, let us recall the well-known fact that in a few seconds 10^14 neutrinos fly through our body without obstacles.

The maximum of the CMB is 1.8725 * 10^(-3) meters. (“The CMB has a thermal black body spectrum at a temperature of 2.72548±0.00057 K.[4] The spectral radiance dEν/dν peaks at 160.23 GHz, in the microwave range of frequencies, corresponding to a photon energy of about 6.626 × 10−4 eV”, see Wikipedia Cosmic microwave background - Wikipedia ).

E = 6.626 × 10−4 eV from this follows λmax = 1.8725 * 10^(-3) m.

E = mc^2, λ = h/(mc), h = 6,626 * 10^(−34) J*s

Therefore, if we again assume that this is the Compton wavelength of the neutrino (since the maximum), but only 137 times more due to the effects of the theory of relativity, as in the case of the de Broglie wave in the N. Bohr model, see above. The determination of the neutrino mass is not difficult:

λmax = λc.n. * 137 = (h*137)/(m*c)= 1.8725 * 10^(-3) m

m(n) = (h * 137)/(λmax * c) = (h * 137)/(1.8725 * 10^(-3) * 3 * 10^8) = 1.616 * 10^(-37) kg.

m(n) = 1.616 * 10^(-37) kg, or 9.065 * 10^(-2) eV

where λc.n. - Compton wavelength neutrino,

λmax - maximum cosmic microwave background wavelength,

m (n) - neutrino mass, c - the speed of light.

Thus, we obtained a theoretical neutrino mass value of 1.616 * 10^(-37) kg or 9.065 * 10^(-2) eV, which is consistent with the earlier made boundary predictions. But, our prediction is accurate. Therefore, we are waiting for experimental confirmation :).

25.08.2019. Hooray!!! The prediction was confirmed. “But Grace did it: the supercomputer returned a mass for the lightest of the three neutrons of 0.086 electron volts (with a lower limit of zero), or around 1.5 × 10^(-37) kilograms. The team also calculated a combined mass for the three neutrinos - 0.26 electron volts. Both these results have a confidence interval of 95 percent”. See link Scientists Just Used The Cosmos to Measure The Mass of a Ghost Particle As predicted: m = 1.616 * 10 ^ (- 37) kg. This is an average neutrino. In terms of mass difference, there will be approximately the following alignment: m (1) = 1.5 * 10 ^ (- 37) kg, m (2) = 1.616 * 10 ^ (- 37) kg, m (3) = 1.7 * 10 ^ ( -37) kg. The netrinos mass m = 1.616 * 10 ^ (- 37) kg must be taken as average, this is the most correct approach, since neutrinos pass into each other.

P.S. The question of why the Compton wave in both the electron and the neutrino in the “world of chemical bonds” is 137 times larger than its normal value needs further research. But, now we can definitely say that this is due to the passage of time in various reference systems. More precisely, it can be said that this is due to the lack of time at the quantum level (in the Compton wavelength region), and with a certain dependence of the formation of the “arrow of time” in the “world of chemical bonds” and in our world. In more detail about how the arrow of time is formed you can read here pp. 24 - 28 http://vixra.org/pdf/1904.0124v1.pdf (Quantum Theory of the Development of Science, Economic and Society).

Bezverkhniy Volodymyr (viXra): Bezverkhniy Volodymyr Dmytrovych

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