Cinematics Ribot iris fine

Porte I

- 2020 -

1 Postulate : hbggiohlhe Esiusonoh stone in tuttii sistemi oh . rifehmento inertial

.

HLe bggi della Esia began quantita he

1) Saw invariant.

pu trasf .Lorentz

7) Si twisfotmano per I , 1.

In cinematic famine it moto i desuiltodo IH

,TH e EHIno ,

an NONsodohsfano nil ) ni 2)

Taiettoria

oh. and pohtiulhe a XOx°= 0

pane per 8=5.

Dsio:

DSI = Asd2

i. 1,2, } .

..

Dsm,

Ds : "

ft interval as ,§:*"Flynn,some invariant per .

vhetivorispdt0

ogni sistine dioiferimento

La thiettoria olive issue commence ohe Astro' ( tip tempo) , per

manteneulacansohte '

old moto

La vaiabih As okfnisa an panemetrocontinuo ' " invariant "

lunge he Fheiittohie

r

.

secppoesnob

\

1

Nd Sit. dirt . soliobh wnle

pastiuthe pasta mill'

origin

Ds2=iA[2

=

Idf'

p82

4×' '

tempo pnoptio tempox

' ohllionavatu

seeI

u Oas* ' °

.

n.

X°0poltiutheIIittoriawlbspeao-tempo@uraohunirnsdpuwnepattiulhefameBihiA5xo-7FFs-AssoinvorianteoliLorentt.ohfftunzeD.d

infntmfssmwimiomvolganmpuds=cde= Edt =

,

.

AM

,

'

"

ya.

.

Mix

.

As

DX'

yea×0Dxo

T.ntwdna.am .

um=dI=ff%3¥tsEoE'€n=qe , } 3its Bt

m=Eo¥n¥qi¥=o. d¥ii .

u=ffE)F=¥

Velocities relativistic

line .gfhFke.

.

.

Come si

transformerU

cambianob Sit. Rif?

Tre fit. Rifinuziotxtethx

troufdilountrn' =¥s' =

¥sAx=foo¥=nutinvariante matiaaotanteoh. Lorentz ink enolenteohes

u si trasfozme come ×

u i unqweohivettu×,

:ni hiamote qnaohirehuta

Esempio Auifhfary.MY?udiiP....)u=fretkIto:

na . pup , )XO

*mi- yruhyhfetm)

u =p ( i , F)u . u = ntgnoywum

ur= War

=p'

- j' f

'

=1

UM I an qnaohivettou oh

normeminkowokiome

1

¥ an nt=2urdy÷=own . dyfkin qnnohivitta

WM=A=w✓

w° ;¥ - off=rE÷o¥i '

y'

vyg °li

- >tipo tempo

.

Bradear

.

wo = ¥, F . oi'

wit to fovi+ to E.d) ri ]

Wn i Lnaokvuttouacceleration

or

..

tE=r% to + Pact . E) A

tip spezio.

W . w=

8µWWrf.

.

i. iii.eipfpfeztfratvtret

a-

tykyreif

= - for # at . y,[eFEnv4EeD

N.

B. x '=^×

× 'M = Mr Xr

Nr =0¥oxr

Mgm =pn± gntg

y2= In :

g=g' '

← gmrM

( F'g) v ft qr=Sniff-

X = Nx '

= GNGX'

add A → ( arm)

(A)

nr=(gNgfr=F# try per

xm = gnrNr8sr×"

Alarm Operationcan i Tensai

(Xm ) =

Cxr )TgXm =

Xrfrn ×r=g4xµ

In= Form = Are Hgµ==XagfrNf fun =

r

= xr four Np g'

Ixrct')-m=

( Nik,Nr =

Ning ,Nr

-err

,NnNr = Nndrv

f # f swlori

r→vH= Nrvr g. Veltrieontsovoniant

,

w → win = wr (At Yn g-Mti aVariant

Tension .

( { ) Appl.

hmmm 29 - Vitti → R

In base ST ×=xnx^µW^^ took

wvettonw-wnwnR7sexnfn.yrff-xnyr5Lfu.ED-swbaesExiis.iYF@mpomti1lsYAxilyT-sfx.D

"turns Nrx '

x'

Sir=

smottelntrr

r

Tensozi (f) Appl.

his 1 g.htt → R

1q

.

ovettstwnwn,xrxrifwnxrsfiiid

= by xrsmr

s'

fw'

,x

' ] = s[w ,X ]

s'

[ a N,

nx ] =

= wnlnyn , Arts''

r

s' '

.= And)§ "

v

. fur=% .5r

:

Psodotto tensoxdidue dueq . rdtoontwv

.

u,

✓→ uxor

uxov( w ,×)= w (a) XCY"

vxs → RUIUV ( In

, Jr ) =

gncujyrCvy-uMvr1uxOr-fumvJepdwxOx.V2-1RaCeIXleY-wnxrwxOX-CwnXDef0dUnv-u@v-Fudvtmurt-cunrTPDuivoteoh.uEionolev-vndnf.f

AH

Orkvmomf

ftp. ) → fe

see, → or. ⇐sina.es,¥l :D

port=or

.k.

:#relyA enFronted =

ofD=

Trif(obviate avoriomte)

of = yrAtRAY = znHatta) =

= 0µA'

yr(E) =

or A' Na = Or An HR

divergent.

i. (

cjt= Cjn) Atf

0j=hjr=ftp.ji.9.ftdirjZnopnisitemadirfaimento

fiji = of jn=o Egnoaiomdicontinuities

0 go'

- gmriforzq,- is =D

'

Equation ohlle onok inform cxraiante

(fcolon )

guy #qoY=o

pT= guy,£mn°ti" tmaotrfaimnt . ...

Contention '

A = And, 13=1347

A → a = Anti gnrttpra (B) = Arpan BM = An BM

-

R=( RgupyGntnetioe

RCA,

u,

IY4=Mlu,

Dw

.

= Mmunvr

Mnr =

Rpm✓

v

Limit nonrahotvistio-

to*

, f- E is x' Ey ( Dx'

- PAYA

.

xi { Aro r CA xo

'

- pay

.

Limit

oliqoh.la/pk4⇒ r -ADx "

=DX '

- p

DXOTrois f{ Dxo

'

=A oh . Galilei

5¥.

-

- if .

. e

Maper non hsiu dolls condition oh.

limit,olive value on he 18¥41

↳

unffrronianoinrea1817151 Trost Erroll

point Dx' heAxl ( y - p → Dx 's Ax '

DH 're Dxo - part → DIEDE - Pdx'

And,a¥÷gwenti

Spatio oh . Dono nel canola

Galilei .

Tutti ipnntisono ycomsolmente .

.

colhgati gI

C

Spatio oh.

x.

DR.

MinkowskiSolon.

punk.

entwilwnolua Gone lacesonooomsolmemte .

rothgoti

yhdlimitetnkigh

.

veventisonofnonioblSpezia oh construe

Carroll y-

Nessun pwntoicomportment college to .

Lastun Anne oh '

infinite ohtho

Spot !oh . Minkowski

Lo metie

oh . Minkowskiin coordinate cartesian

dst-kx.FIIxD . Coli)'

+ Hr )'

]

Pomaggio olle coordinate polarisferriteX

'= 2 cos y sind

⇐ no →

µok cosy in 9

- rainy nimbly t hosp cost do

ol x -

-ok ringin 9+2cosy sin flything

cost DO

1×3=012cos 9 -

hintDO

Lo metie

oh . Minkowskiin coordinate polarisfinite

dsk 61×05 - di - ezfiiiddyi- old)- oti

Introduce .cm le coordinate di temp .

eitanoheto uo

-

e← ,

fun){avanzotov

= +2e -

- tar - u )

Lie metrics oh. Minkowski

nelle coordinate oh.

tempo eitouwhetelowonzato

Is edu dr + t.fi- r 't old

Lwfnoohniomoh coordinate " lent ' .

.

F- tf U - Izak I{ u -

- terV

. are e VZVLie metrics oh. Minkowski

nelle coordinate" lent "

d5= ( 2 us Vas VT Ihol U ON t sin ( V - Uld I ]✓

.

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fattoreconfo> me Metricausibiom.eu/p2

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7 ft

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T'

: nnfinitofutuwmtbT : infinite ponsatomctb

it : infinite future tip. temp,

i-

: infinite posset tip.tempo

io: infinite tip. spatio.

ol r'

= -how ON t sin ( V - UI DI

ie tf U - Izak I{ u -

- ter .Izak e VzV

✓ .it

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ma IO

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