影片心得1

作者: selfvalue (ime)   2022-01-06 07:37:38
※ 引述《lpbrother (LP哥(LP = Love & Peace))》之銘言
: 剛看到老高討論重力的影片
: 不知道哪些是對的哪些有爭議,
我以前有唸書時有輔修聲學,那時候順便惡補了一下物理,當時覺得老高那集怪怪的,但
是只是就呆呆的看下去,喝完酒就躺著到明天
其實維基百科有很清楚的解釋,看著順一下腦袋
https://en.wikipedia.org/wiki/Special_relativity
愛因斯坦認同Minkowski用洛倫茲變換說明空間本身的對稱性
Special relativity is restricted to the flat spacetime known as Minkowski space.
As long as the universe can be modeled as a pseudo-Riemannian manifold, a Loren
tz-invariant frame that abides by special relativity can be defined for a suffic
iently small neighborhood of each point in this curved spacetime.
In special relativity, however, the interweaving of spatial and temporal coordin
ates generates the concept of an invariant interval, denoted as
但是這裡可以發現一個非歐幾何空間的不變量
(Δs)2=c2(Δt)2 [(Δx)2+(Δy)2+(Δz)2
它是一個
1. 空間的旋轉矩陣
2. 距離本身不被座標轉動影響
https://upload.cc/i1/2022/01/06/3oDr65.jpg
https://upload.cc/i1/2022/01/06/NtunD2.jpg
Special relativity uses a flat 4-dimensional Minkowski space – an example of
a spacetime.
計算上,它比歐幾裡德空間多了一個維度如下
Minkowski spacetime appears to be very similar to the standard 3-di
mensional Euclidean space, but there is a crucial difference with respect to tim
e.
In 3D space, the differential of distance (line element) ds is defined by
{\displaystyle ds^{2}=d\mathbf {x} \cdot d\mathbf {x} =dx_{1}^{2}+dx_{2}^{2}+dx_
{3}^{2},} ds^2 = d\mathbf{x} \cdot d\mathbf{x} = dx_1^2 + dx_2^2 + dx_3^2,
where dx = (dx1, dx2, dx3) are the differentials of the three spatial dimensions
. In Minkowski geometry, there is an extra dimension with coordinate X0 derived
from time, such that the distance differential fulfills
{\displaystyle ds^{2}=-dX_{0}^{2}+dX_{1}^{2}+dX_{2}^{2}+dX_{3}^{2},}
where dX = (dX0, dX1, dX2, dX3) are the differentials of the four spacetime dime
nsions.
然後這些4維非歐不平直的空間,它對比我們日常經驗的歐幾里德空間,有什麼真實的意義
呢。愛因斯坦發現這是反映重力的表現,然後就繼續補他的
相對

老高可能沒看維基百科
作者: selfvalue (ime)   2022-01-06 07:49:00

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