Mathematics is a powerful tool in physics describing everything from the shapes of planetary orbits.to the properties of atoms.math was used to predict the existence of the planet Neptune.math was used to predict the existence of the planet Neptune radio waves,math was used to predict the existence of the planet Neptune radio waves and higgs boson.
数学在物理中应用十分广泛 既能描述行星轨道 也能描述原子的性质 数学预测了海王星 数学预测了海王星 无线电波 数学预测了海王星 无线电波希格斯玻色子的存在
Some think it means nothing profound,or that math is something we've made up to be useful,others think it means there's something fundamentally mathematical about nature,and the most extreme possibility is that our universe is completely mathematical in a sense that it has no properties except mathematical properties.
有些人认为这些成果没什么意义 数学不过是人类发明的有用工具而已 其他人认为这意味着自然本身有着数学特征 最极端的假设是宇宙是纯数学的 这意味着宇宙只有数学特征
But at first glance,our universe doesn't seem very mathematical at all,A sheep has properties such as cuteness and fluffiness,Not mathematical properties!Yet we know that this sheep and everything else in our universe is ultimately made up of elementary particles.such as electrons and quarks.
但是宇宙给我们的的第一印象完全没有数学特征 一只羊有可爱和软软的特征 而不是数学特征！然而我们知道羊和世间万物是由基本粒子构成 比如电子和夸克.
And what properties does an electron have?Smell?Smell? Color? Smell? Color? Texture? No!Only properties like minus one,one half and one!We physicists call these properties electric charge spin and lepton number,but the electron doesn't care what we call them!The fundamental properties that an electron has are just numbers!Mathematical properties,And as far as we know,all elementary particles,the building blocks of everything around,are purely mathematical objects in a sense they don't have any properties except for mathematical properties.
而电子有什么特征呢？味道 味道？颜色？ 味道？颜色？质地？才没有呢？电子只有诸如负一，二分之一，一的属性！物理学家将这些属性称为电荷 自旋 轻子数 但是电子才不在乎我们怎么命名！电子拥有的最基本属性就是数字----数学属性 我们所知的所有基本粒子 也就是组成万物的零件 都是纯数学的个体 也就是说他们除了数学属性之外没有任何属性.
The same goes for the space that these particles are in,For example,it has the property of three,the number of dimensions,If space is mathematical and everything in space is also mathematical,then,yeah,the idea that everything is mathematical doesn't sound as crazy any more,Quantum mechanics and string theory introduce even more mathematical structure,with nerdy names like Hilber Space,Linear Operators,and Calabi-Yau Manifold,And we physicists still haven't found ANY properties of nature that we can prove are non-mathematical which is why some of us,including me think that perhaps there are just isn't anything else out there.Other than math And that thought makes me one positively awe-struck mathematical object!
这些粒子栖身的空间也是一样 比方说，空间有着“3”的属性 也就是三维 如果空间是纯数学的 而空间中的一切也是如此 那“万物皆数学”听起来就没那么扯淡了 数学在量子力学和弦论中的使用更是有过之而无不及 还都有不明觉厉的名字.希尔伯特空间 线性映射卡拉比-丘流形 之类的 而物理学家到现在也没有找到非数学的自然属性 所以有些物理学家----我也在内 认为其实自然中什么都没有 只有数学 这种观点让我这个纯数学的个体虎躯一震！