On really small scales, some of the familiar rules of physics don't apply, in particular, everyday Newtonian mechanics break down, and forces that are normally negligible become powerful.

在很小尺度上，一些熟悉定律并不适用，尤其是日常顿力学不再有效，平常可忽略作用力变得强而有效。

To quote him, he said that, " In this Hopi view, time disappears and space is altered, so that it is no longer the homogenous and instantaneous timeless space of our supposed intuitions or of classical Newtonian mechanics."

引用他话，他说，“在霍皮族人看来，时间消失了，空间也被改变了，所以并没有质和瞬时永恒空间，而这一思想完全不于我们假定直觉和经典顿力学。

If economics was physics, macro would be cosmology and relativity while microeconomics would be Newtonian mechanics.

如果经济学是，宏观经济学是宇宙论和相对论，而微观经济学是顿力学。

Now let's go back to Newtonian mechanics.

现在让我们顿力学。

The original aim of the hypothesis was to explain why the velocities  of stars in galaxies were observed to be larger than expected based on Newtonian mechanics.

该假设最初目是解释为什么根据顿力学预期，星系中恒星速度被观测比预期大。

Newtonian mechanics allow you to coast without too much trouble from Earth to the Didymos system, but hitting the target requires active guidance.

顿力学让你可以轻松地从地球滑行 Didymos 系统，但击中目标需要主动引导。

And then later, Euler and Lagrange reformulated Newtonian mechanics in a totally different way.

后来，欧拉和拉格朗日以完全不方式重新表述了顿力学。

So I discussed briefly when I talked about the connection between Newtonian mechanics and the Euler-Lagrange reformulation of the Newtonian mechanics and interpretation of this Euler-Lagrange formalism in terms of the paths that the particle take.

因此，当我谈顿力学与欧拉-拉格朗日对顿力学重新表述之间联系，以及从粒子所采取路径角度来解读这一欧拉-拉格朗日形式体系时，我简要地讨论了这一点。

Now, we talked about Newtonian mechanics, leading all through different Lagrangian, Hamiltonian mechanics.

现在，我们讨论了顿力学，贯穿了不拉格朗日力学和哈密顿力学。