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Estimations of Neutrino and Graviton Masses by a Phenomenological Mass Relation for Stable Particles

机译:稳定粒子的现象学质量关系估计中微子和引力子质量

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The ratio between the proton and electron masses was shown to be close to the ratio between the shortest lifetimes of particles, decaying by the electromagnetic and strong interactions. The inherent property of each fundamental interaction is defined, namely the Minimal Lifetime of the Interaction (MLTI). The rest mass of the Lightest Free Massive Stable Particle (LFMSP), acted upon by a particular interaction, is shown to be inversely proportional to MLTI. The found mass relation unifies the masses of four stable particles of completely different kinds (proton,electron, electron neutrino and graviton) and covers an extremely wide range of values, exceeding 40 orders of magnitude. On the basis of this mass relation, the electron neutrino and graviton masses have been approximately estimated to 6.5x10~(-4) eV and ?H/c2 ≈ 1.5x10-33 eV, respectively. Besides,the last value has been obtained independently by dimensional analysis by means of three fundamental constants, namely the speed of light in vacuum (c), reduced Planck constant (?) and Hubble constant (H). The presence of an exceptionally small, yet nonzero mass of the graviton implies Yukawa potential of the gravitational field and a finite range of the gravity close to the Hubble distance cH-1 Therefore, the graviton mass determines a finite size of gravitationally connected (observable) universe for an arbitrary observer. It was shown that the rest energy of LFMSP, acted upon by a particular interaction, is close to Breit-Wigner's energy width of the shortest living state, decaying by the respective interaction.
机译:质子和电子质量之间的比率已显示出接近粒子最短寿命之间的比率,并由于电磁作用和强相互作用而衰减。定义了每个基本交互的固有属性,即交互的最小生存时间(MLTI)。最轻的自由质量稳定粒子(LFMSP)的剩余质量受特定相互作用的影响,与MLTI成反比。所发现的质量关系统一了四个完全不同种类(质子,电子,电子中微子和引力子)的稳定粒子的质量,涵盖了范围非常广的值,超过了40个数量级。根据该质量关系,电子中微子和引力子质量分别约为6.5x10〜(-4)eV和ΔH/ c2≈1.5x10-33 eV。此外,通过三个基本常数,即真空中的光速(c),降低的普朗克常数(η)和哈勃常数(H),通过尺寸分析独立地获得了最后一个值。引力子的质量非常小,但非零,这意味着重力场的汤河势和接近哈勃距离cH-1的引力有限范围。因此,引力子质量确定了引力连接的有限大小(可观察到)任意观察者的宇宙。结果表明,LFMSP的剩余能量受特定的相互作用作用,接近最短生命状态的Breit-Wigner能量宽度,并因各自的相互作用而衰减。

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