物理学中的负质量和虚质量问题

Negative-mass and Imaginary-mass Problems in Physics

由引力论中“负质量佯谬”的讨论可导致牛顿引力定律推广到有反物质和反引力的情形,使理论对m→(-m)变换具有不变性。由质量的解析延拓mo→ims看出超光速粒子的存在,进而为超光速中微子建立一个“三味振荡”的最小模型,它可能解释最近发表的太阳中微子等实验结果。这两种对称性反映了物理中引入i的必要以及i与(-i)的对称性。最后对中微子在天体物理研究中的地位也作了一些猜测性的讨论。

A discussion on the 'negative-mass paradox' in the theory of gravity leads to a generalization of Newton's gravitational law,showing the existence of antigravity.The theory is invariant under the transformation of m→( - m) .An analytical continuation mo→ims unveils the existence of superluminal particle (tachyon) .Then a minimal model for three-flavor oscillation of superluminal neutrino can be proposed to explain the recent data of solar neutrino experiment etc.The above two symmetries reflect the necessity to introduce i to physics as well as the symmetry between i and ( - i). Finally ,some tentative discussions on the role of neutrino in the research of astrophysics are presented.