静止质量不为零的中微子与等效原理
Neutrinos of non-zero rest mass and the equivalence principle
摘要：
假设静止质量不为零的中微子主导宇宙中的质量密度，也主导星系团尺度上的质量密度，我们得到它们质量的上限m < 20 eV/c^2，与H_0和q_0的值无关，下限m > 5 eV/c^2，与q_0无关，几乎与H_0无关。如果它们在双星星系和小星系群的尺度上不占主导地位，那么m必须< 14 eV/c2，与q 0无关，几乎与H 0无关。更进一步，我们允许中微子具有不同的引力质量和惯性质量，使得r =引力质量/惯性质量。然后用m表示惯性质量，我们得到m. r ^14> 5 eV/c^2，m.r^（14）< 14 eV/c^2，m.r < 20 eV/c^2，这意味着r < 6.3。对于一个特定的值，比如12 eV/c^2，对于m，我们有0.03 < r < 1.7。关键词：中微子，静止质量，等效原理。
英文摘要：
Assuming that neutrinos of non-zero rest mass dominate the mass density in the universe, and also the mass density on the scale of clusters of galaxies, one obtains the upper limit m < 20 eV/c^2 on their mass, independent of the values of H_0 and q_0, and the lower limit m > 5 eV/c^2 independent of q_0 and almost independent of H_0. If they are not to dominate the mass density on the scale of binary galaxies and small groups of galaxies, one must have m < 14 eV/c2 independent of q0 and almost independent of H0. Going one step further, we allow neutrinos to have different gravitational and inertial masses so that r = gravitational / inertial mass. Then using m for the inertial mass, we have m.r^1/4 > 5 eV/c^2, m.r^(1/4) < 14 eV/c^2 and m.r < 20 eV/c^2, which together imply r < 6.3. For a specific value, say, 12 eV/c^2, for m, we have 0.03 < r < 1.7. Keywords: Neutrinos, rest mass, equivalence principle.
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