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  • 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, radio waves and the Higgs Boson. Some think it means nothing profound, or

  • that math is simply something we've made up to be useful. Others think it means that

  • there's something fundamentally mathematical about natureThe most extreme possibility

  • is that our universe is completely mathematical, in the sense that it has no properties except

  • mathematical properties

  • But at first glance, our universe doesn't seem very mathematical at all. A sheep has

  • properties such as cuteness and fluffinessnot mathematical properties. Yet we know

  • that this sheep - and everything else in our universeis ultimately made of elementary

  • particles such as electrons and quarks. And what properties does an electron haveSmellColor?

  • Texture? No, only properties like -1, ½ and 1! 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. As far as we know, all elementary

  • particles, the building blocks of everything around, are purely mathematical objects in the sense

  • that they don't have any properties except for mathematical properties. The same goes

  • for the space that these particles are in - for example, it has the property 3, the number

  • of dimensions. If space is mathematical and everything in space is also mathematical,

  • then the idea that everything is mathematical doesn't sound as crazy anymore

  • Quantum mechanics and string theory introduce even more mathematical structures, with nerdy

  • names like Hilbert space, linear operators and Calabi-Yau manifoldsWe physicists

  • still haven't found any properties of nature that we can prove are non-mathematicalwhich

  • is why some of us - including me - think that perhaps there just isn't anything else out

  • there, other than mathAnd that thought makes me one positively awestruck

  • mathematical object.

Mathematics is a powerful tool in physics, describing everything from the shapes of planetary

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B2 中高級

宇宙完全是數學的嗎?Feat.Max TegmarkMax Tegmark (Is the Universe Entirely Mathematical? Feat. Max Tegmark)

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    林宜悉 發佈於 2021 年 01 月 14 日
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