Lorentz transformation


You move from S(x,y,z) to S'(x',y',z') by uniform linear motion (v) on x.


This is called Galilean transformation.


c is the speed of light.


This is S'.


You see that the speed of light should be stable, so S' is the same.


You know Galilean transformation.


∴

Then you see S.


∴

A=E




∴

You know Lorentz factor.









コメント

コメントを投稿

このブログの人気の投稿

The Sylvester-Gallai Theorem

イメージ
The deformation is the mathematical concept. The Sylvester-Gallai Theorem is that a finite set of points in the plane have the proper line through any two of them, and it passes through a third point of the set. Moreover, it must be on the same line. P is the the noncollinear finite set. S(P) is the set of connecting lines in P. p∈P, s∈S(P) p and s are perpendicular, so they are not the ordinary line. (s*,p*) is the smallest distance, and s* is in the ordinary line. l∩P={p} l must be the ordinary line. This is the contradiction. l∩S(P) There is the cyclically intersection points (p,x1). x1,・・・xk is on l. Moreover it crosses S. This must be ordinary. You also see the extra dimensions. i lines are determined by P.
続きを読む

The Quantum Rhythm of the Primes: The Montgomery-Dyson Confluence

The history of mathematics is often viewed as a progression of isolated starlight—brilliant individuals working in silos of abstraction. However, the most profound breakthroughs usually occur when two distant stars collide. The story of Hugh Montgomery and Freeman Dyson is the premier example of such a collision, revealing that the heart of number theory and the chaotic vibrations of the physical world beat to the exact same drum. ​The Abstract Search for Order ​To understand the magnitude of this discovery, one must first look at the prime numbers . Primes are the "atoms" of mathematics, yet they appear along the number line with a frustratingly unpredictable rhythm. In 1859, Bernhard Riemann proposed that the secret to their distribution lay in the zeros of the Riemann Zeta Function . ​Riemann’s Hypothesis suggested these zeros sit on a single critical line. But even if they were on that line, their specific spacing remained a mystery. Were they clumped together like s...
続きを読む

Montgomery's pair correlation conjecture

イメージ
Hybrid orbitals are the explanation of molecular geometry and atomic bonding. This is Montgomery's pair correlation conjecture, which is the pair correlation between pairs of zeros of the Riemann zeta function . γ and　γ' are imaginary. This is like piling prime numbers . Methane and hydrogen are gasses. C=C is carbon bonding which is in surface. Gasses move like ↑ ↑ ↓. This is called π bond.
続きを読む