AI 中文总结
本文提出一种马赫式MOND，将$a_0$设为受局域外质量影响的变量，通过平方反比场提升解决星系团质量差异，并开始推广至非球对称情形。
AI 中文摘要
修正牛顿动力学（MOND）通过引入单一的新加速度常数$a_0$，通常可解决星系旋转曲线对暗物质的需求问题。众所周知，将$a_0$提高数倍可缓解MOND在星系团中留下的残余质量差异。在MOND的无参数马赫式诠释中，$a_0\tilde{}GM_u/R_u^2$源于宇宙中平方反比距离引力质量贡献的标量和，我们在球对称情形下将$a_0$提升为受局域封闭区域外质量影响的变量。与EMOND中基于引力势提升$a_0$不同，我们表明，基于这种无方向平方反比场的提升，大致相当于MOND适配星系团质量差异所需的提升。我们最后开始将所提公式推广到球对称之外的情形。
英文摘要
Modified Newtonian Dynamics (MOND) generally resolves the need for dark matter in galaxy rotation curves introducing a single new constant of acceleration $a_0$. It is well known that increasing $a_0$ by a factor of a few can alleviate the residual mass discrepancies that MOND leaves in galaxy clusters. Within a parameter-free Machian interpretation of MOND, in which $a_0\sim GM_u/R_u^2$ arises from the scalar sum of inverse-square distance gravitational mass contributions in the universe, we promote $a_0$ to a variable influenced by mass external to a locally enclosed region in the spherically symmetric case. Instead of a boost of $a_0$ in terms of gravitational potentials as in EMOND, we show that a boost in terms of this directionless inverse-square field roughly amounts to the boost needed to accommodate the mass discrepancies of MOND in galaxy clusters. We conclude by beginning to generalize the proposed formulation beyond spherical symmetry.
Comments18 pages, 2 figures, 4 graphs, 4 tables, published version in International Journal of Modern Physics D
Journal refInt.J.Mod.Phys.D (2026) S0218271826500434
