快光粒子可能的引力约束模型
A model of possible gravitational confinement of fast light particles
摘要：
根据狭义相对论和等效原理，两个具有相对论速度的粒子之间的牛顿引力随着速度的增加而显着增加，事实上当后者接近c时变得不受约束。因此，人们可以构建一个三个快速旋转的轻粒子的确定性模型，它使用引力作为吸引力，狭义相对论，弱等效原理，并引入角动量量子化，就像玻尔的H原子模型一样。该模型表明存在稳定的旋转状态对应于高度相对论粒子速度与半径在调频范围。当这三个轻粒子的静止质量在中微子的质量范围内（~0.1 eV/c^2）时，令人惊讶的是，我们发现这些转动态的静止质量和康普顿波长与重子的静止质量和康普顿波长相对应，而且实际上质量（~1 GeV/c^2）很好地再现了轻重子的质谱。有趣的是，该模型还预测了重子寿命的下限，这与它们的测量寿命一致，并对它们的磁矩产生了很好的近似。因此，这种确定性的玻尔型亚原子现象的方法，即一个经典的特殊相对论处理耦合的德布罗意波长表达式，以寻求符合量子力学，可能是一个有用的零阶模型，探讨一些量子引力问题。
英文摘要：
According to special relativity and the equivalence principle, the Newtonian gravitational force between two particles with relativistic velocities increases significantly with velocity and in fact becomes unbound as the latter approaches c. One may thus construct a deterministic model of three fast rotating light particles which uses gravitation as the attractive force, special relativity, the weak equivalence principle and introduces angular momentum quantization as in the Bohr model of the H atom. The model shows the existence of stable rotational states corresponding to highly relativistic particle velocities with radii in the fm range. When the rest masses of the three light particles is in the mass range of neutrinos (~0.1 eV/c^2), then surprisingly the rest masses and Compton wavelengths of these rotational states are found to correspond to those of baryons and in fact the masses (~1 GeV/c^2) reproduce quite well the light baryon mass spectrum. Interestingly the model also predicts a lower limit for the lifetime of the baryons which is consistent with their measured lifetimes and yields a good approximation for their magnetic moments. It thus appears that this deterministic Bohr-type approach to subatomic phenomena, i.e. a classical special relativistic treatment coupled with the de Broglie wavelength expression to seek conformity with quantum mechanics, may be a useful zeroth-order model to explore some quantum gravity problems.
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