Placeholder Image

字幕表 動画を再生する

  • Some people ask the question of what good is mathWhat is the relationship between

  • math and physicsWell, sometimes math leadsSometimes physics leadsSometimes they

  • come together because, of course, there’s a use for the mathematicsFor example,

  • in the 1600s Isaac Newton asked a simple question: if an apple falls then does the moon also

  • fallThat is perhaps one of the greatest questions ever asked by a member of Homo sapiens

  • since the six million years since we parted ways with the apesIf an apple falls, does

  • the moon also fallIsaac Newton said yes, the moon falls because

  • of the Inverse Square LawSo does an appleHe had a unified theory of the heavens, but

  • he didn't have the mathematics to solve the falling moon problemSo what did he do

  • He invented calculusSo calculus is a direct consequence of solving the falling moon problem

  • In fact, when you learn calculus for the first time, what is the first thing you doThe

  • first thing you do with calculus is you calculate the motion of falling bodies, which is exactly

  • how Newton calculated the falling moon, which opened up celestial mechanics.

  • So here is a situation where math and physics were almost conjoined like Siamese twins,

  • born together for a very practical question, how do you calculate the motion of celestial

  • bodiesThen here comes Einstein asking a different question and that is, what is

  • the nature and origin of gravityEinstein said that gravity is nothing but the byproduct

  • of curved spaceSo why am I sitting in this chair?  A normal person would say I'm

  • sitting in this chair because gravity pulls me to the ground, but Einstein said no, no,

  • no, there is no such thing as gravitational pull; the earth has curved the space over

  • my head and around my body, so space is pushing me into my chairSo to summarize Einstein's

  • theory, gravity does not pull; space pushesBut, you see, the pushing of the fabric of

  • space and time requires differential calculusThat is the language of curved surfaces, differential

  • calculus, which you learn in fourth year calculus. So again, here is a situation where math and

  • physics were very closely combined, but this time math came firstThe theory of curved

  • surfaces came firstEinstein took that theory of curved surfaces and then imported

  • it into physics. Now we have string theoryIt turns out

  • that 100 years ago math and physics parted waysIn fact, when Einstein proposed special

  • relativity in 1905, that was also around the time of the birth of topology, the topology

  • of hyper-dimensional objects, spheres in 10, 11, 12, 26, whatever dimension you want, so

  • physics and mathematics parted waysMath went into hyperspace and mathematicians said

  • to themselves, aha, finally we have found an area of mathematics that has no physical

  • application whatsoeverMathematicians pride themselves on being uselessThey love being

  • uselessIt's a badge of courage being useless, and they said the most useless thing of all

  • is a theory of differential topology and higher dimensions.

  • Well, physics plotted along for many decadesWe worked out atomic bombsWe worked out

  • starsWe worked out laser beams, but recently we discovered string theory, and string theory

  • exists in 10 and 11 dimensional hyperspaceNot only that, but these dimensions are super

  • They're super symmetric.  A new kind of numbers that mathematicians never talked about evolved

  • within string theoryThat's how we call itsuper string theory.”  Well, the

  • mathematicians were flooredThey were shocked because all of a sudden out of physics came

  • new mathematics, super numbers, super topology, super differential geometry

  • All of a sudden we had super symmetric theories coming out of physics that then revolutionized

  • mathematics, and so the goal of physics we believe is to find an equation perhaps no

  • more than one inch long which will allow us to unify all the forces of nature and allow

  • us to read the mind of GodAnd what is the key to that one inch equationSuper

  • symmetry, a symmetry that comes out of physics, not mathematics, and has shocked the world

  • of mathematicsBut you see, all this is pure mathematics and so the final resolution

  • could be that God is a mathematicianAnd when you read the mind of God, we actually

  • have a candidate for the mind of GodThe mind of God we believe is cosmic music, the

  • music of strings resonating through 11 dimensional hyperspaceThat is the mind of God.

Some people ask the question of what good is mathWhat is the relationship between

字幕と単語

ワンタップで英和辞典検索 単語をクリックすると、意味が表示されます

B1 中級

郭道夫:神は数学者なのか? (Michio Kaku: Is God a Mathematician?)

  • 62 13
    ykk に公開 2021 年 01 月 14 日
動画の中の単語