ページ1:

SR
Special Relativity
Io
Laus
are
Sane
in lif megal frame
( = conse = 3×108 (25)
Def
4- position
Lorentz Transform: A=
^
events: where, when
2 Events measured in
Time I Dilution
rot = st
cf frames.
°
for 2 events
spacetime interul ={(coc) - (01) = unit.
(cot) = (al) == (³ort of cot
(rest frame between 2) the lease < moving clocks
eventy
use
-Ax fox
=
-x+x
"
st
ruh
slow
(Lot- Brox = feat - ar f
vat := rest (1-x). c = c(+16) (<) [01-802
Length Contraction
[2][
xox.
个
moving.
rese
E
time cloesn't muller)
rese
more
L
L
2L= cot
t = 2x=fat = ne
24+ v(acial) = c(sti+oti')
coti = L'+ vot,' → L'` = (C-V) at,'.
C2L8
cot₂ = L' - voty →Ĺ
&t=8 st.
IL
J 2
=
(tv) otź at
2.C
Poti toti = 1 + 1 =
C-V
L'→ 8L = L / L' => 8L = '<' =)
Lorentz Invariant: 1. A, XP's dot product.
W =
*[*[][][] P > 0 [mt]
=
=
1
+v
(8)
=
-=82
dr
JV
=
c ru a sus u
ari (It
20
==
些
兴

ページ2:

:
1. √ = 8" (c² u²) = (c²-u²) =c²
P. P² m²² = 8m² (c'-u³) = (inc) – (8mu) -
=(me, jm)
A. A = (arut 1/2) = (adut) == a² du³ ((~)²- 1) = - medus a² = - deb at
(E) m² ² + (mu) => (E.
E=me+ (8-1)me" = fmc"
↑
E²=m²c" = (P₁) c
m = 8m² (-8
(EP) P
mit (8) = (8m)
P₁ = mu
= ML² + (0-1) m²²
R.E
→ c² (F) =
P₁ = (du)³n mu
( )
E² = j' m²(+ = m²("= (8=-1) m² =
ot (in accelerated frame)
inertials first:
(x m²)
As = (cat)² - (al) = ("47"
as = √(ce) - ds = {C)=(all)
st=
Sds (integral form)
SN= dt.
[1,00)
Netes (ex-ev² de
=
d) (()21)
→ In all
inertial frames, between
2 events,
the least seperation of time is ot
(rest frame).
→>>
In search of
even less
J
explains
twin paradox.
(5)
Bam
we need to intabuve austrated fromes: SC Sile = 'tinental
J(v)
proper-time
proper-time.
just need to do experiments in its own frame
to know whether it is
inertial not.
(doesn't depend on anything else.)
(5')
(x-5).
Ladder
Simultaneity is
frame-dependent relative).
A and B
are
spucelike (as <)
=) not
casually
related
and
vrier ( before/simultanious/after) depends on
in S":
in
S =
in
5':
A happens before B.
Simultaneous
B happens before A.
frame of ref.