+ All Categories
Home > Documents > AlbertAlbert s’s Cow and Special Relativity: Cow ... -...

AlbertAlbert s’s Cow and Special Relativity: Cow ... -...

Date post: 02-Aug-2018
Category:
Upload: lynhu
View: 226 times
Download: 0 times
Share this document with a friend
45
Alberts Cow and Special Relativity: Albert s Cow and Special Relativity: A Layman’s Introduction (Almost) Without Mathematics by Dani Censor This is a popular introduction to SR, for laymen, motivated by being exposed to too many bogus TV programs about the wonders of modern physics without too many bogus TV programs about the wonders of modern physics, without any attempt to explain any of these wonders. The presentation does not go beyond high school junior class physics and mechanics, and mathematics involving two simple equations with two unknowns. The motivation comes f li t i t l t lk b t i bj t d th t t from listening to popular talks about various subjects, and the constant questioning: “and what were you doing before you retired?” At this stage I usually start to wave my arms energetically, and comment how radio waves are important to cellular telephony. Many images and some explanations found on the internet are used. Trying to get approval from all these sources would take years. So here is a collective “thank you”, and an apology for not giving detailed credit, but this humble presentation is not for publication anyhow. The explanations are honest, although not all the details are meticulously explained. So there are here lies of the kind “suppressio veri” but not “suggestio falsi “. My apologies. 1
Transcript
Page 1: AlbertAlbert s’s Cow and Special Relativity: Cow ... - BGUcensor/presentations-directory/special... · AlbertAlbert s’s Cow and Special Relativity: Cow and Special Relativity:

Albert’s Cow and Special Relativity:Albert s Cow and Special Relativity:A Layman’s Introduction (Almost) Without Mathematics

by

Dani Censor This is a popular introduction to SR, for laymen, motivated by being exposed to too many bogus TV programs about the wonders of modern physics withouttoo many bogus TV programs about the wonders of modern physics, without any attempt to explain any of these wonders. The presentation does not go beyond high school junior class physics and mechanics, and mathematics involving two simple equations with two unknowns. The motivation comes f li t i t l t lk b t i bj t d th t tfrom listening to popular talks about various subjects, and the constant questioning: “and what were you doing before you retired?” At this stage I usually start to wave my arms energetically, and comment how radio waves are important to cellular telephony.

Many images and some explanations found on the internet are used. Trying to get approval from all these sources would take years. So here is a collective “thank you”, and an apology for not giving detailed credit, but this humble presentation is not for publication anyhow.

The explanations are honest, although not all the details are meticulouslyexplained. So there are here lies of the kind “suppressio veri” but not “suggestio falsi “. My apologies.

1

Page 2: AlbertAlbert s’s Cow and Special Relativity: Cow ... - BGUcensor/presentations-directory/special... · AlbertAlbert s’s Cow and Special Relativity: Cow and Special Relativity:

2

Page 3: AlbertAlbert s’s Cow and Special Relativity: Cow ... - BGUcensor/presentations-directory/special... · AlbertAlbert s’s Cow and Special Relativity: Cow and Special Relativity:

3

Page 4: AlbertAlbert s’s Cow and Special Relativity: Cow ... - BGUcensor/presentations-directory/special... · AlbertAlbert s’s Cow and Special Relativity: Cow and Special Relativity:

4

Page 5: AlbertAlbert s’s Cow and Special Relativity: Cow ... - BGUcensor/presentations-directory/special... · AlbertAlbert s’s Cow and Special Relativity: Cow and Special Relativity:

5

Page 6: AlbertAlbert s’s Cow and Special Relativity: Cow ... - BGUcensor/presentations-directory/special... · AlbertAlbert s’s Cow and Special Relativity: Cow and Special Relativity:

6

Page 7: AlbertAlbert s’s Cow and Special Relativity: Cow ... - BGUcensor/presentations-directory/special... · AlbertAlbert s’s Cow and Special Relativity: Cow and Special Relativity:

7

Page 8: AlbertAlbert s’s Cow and Special Relativity: Cow ... - BGUcensor/presentations-directory/special... · AlbertAlbert s’s Cow and Special Relativity: Cow and Special Relativity:

8

Page 9: AlbertAlbert s’s Cow and Special Relativity: Cow ... - BGUcensor/presentations-directory/special... · AlbertAlbert s’s Cow and Special Relativity: Cow and Special Relativity:

V

x c t 0x 0x

Ax V t Ax x x

x x x x V t Ax x x x V t

Axx c t x x c t V t c t Vc

2

xt t Vc

c

2

x x V txt t V

2c

( )x x V t

2

( )

( )

x x V txt t Vc

2

2

1

1 V

9

c 2c

Page 10: AlbertAlbert s’s Cow and Special Relativity: Cow ... - BGUcensor/presentations-directory/special... · AlbertAlbert s’s Cow and Special Relativity: Cow and Special Relativity:

10

Page 11: AlbertAlbert s’s Cow and Special Relativity: Cow ... - BGUcensor/presentations-directory/special... · AlbertAlbert s’s Cow and Special Relativity: Cow and Special Relativity:

11

Page 12: AlbertAlbert s’s Cow and Special Relativity: Cow ... - BGUcensor/presentations-directory/special... · AlbertAlbert s’s Cow and Special Relativity: Cow and Special Relativity:

( )x x V tx

2( )xt t Vc

2

2

1

1 Vc

2

( ) 0

( ) ( ) (1 )

x x V t x x V tx V t Vt t V t t V t t

2 2 2

2

2

( ) ( ) (1 )

1

t t V t t V t tc c c

Vt tc

2V 2 3 3 1 1 1V21 0

0

Vt t V t tc

V c t

2

3 3 1 1 114 4 4 4 2

0.5

Vct t

0.5t t12

Page 13: AlbertAlbert s’s Cow and Special Relativity: Cow ... - BGUcensor/presentations-directory/special... · AlbertAlbert s’s Cow and Special Relativity: Cow and Special Relativity:

Ali f ll d th h ft i th ti h hAlice falls down the shaft… is the time she sees when moving towards the clock…

13

Page 14: AlbertAlbert s’s Cow and Special Relativity: Cow ... - BGUcensor/presentations-directory/special... · AlbertAlbert s’s Cow and Special Relativity: Cow and Special Relativity:

… the same as the time she would see at the clock if she stopped falling?

14

Page 15: AlbertAlbert s’s Cow and Special Relativity: Cow ... - BGUcensor/presentations-directory/special... · AlbertAlbert s’s Cow and Special Relativity: Cow and Special Relativity:

th ti h h f lli…or the time she sees when falling awayfrom the clock?

15

Page 16: AlbertAlbert s’s Cow and Special Relativity: Cow ... - BGUcensor/presentations-directory/special... · AlbertAlbert s’s Cow and Special Relativity: Cow and Special Relativity:

16

Page 17: AlbertAlbert s’s Cow and Special Relativity: Cow ... - BGUcensor/presentations-directory/special... · AlbertAlbert s’s Cow and Special Relativity: Cow and Special Relativity:

( )x x V t

2( )xt t Vc

2

2

1

1 V

21c

2 2( ) 0x xt t V t t Vc c

2 2

2 2( ) (1 ) 1V Vx x V t x x x xc c

common origin: 0 0 0 0c c

x x t t

17

Page 18: AlbertAlbert s’s Cow and Special Relativity: Cow ... - BGUcensor/presentations-directory/special... · AlbertAlbert s’s Cow and Special Relativity: Cow and Special Relativity:

18

Page 19: AlbertAlbert s’s Cow and Special Relativity: Cow ... - BGUcensor/presentations-directory/special... · AlbertAlbert s’s Cow and Special Relativity: Cow and Special Relativity:

19

Page 20: AlbertAlbert s’s Cow and Special Relativity: Cow ... - BGUcensor/presentations-directory/special... · AlbertAlbert s’s Cow and Special Relativity: Cow and Special Relativity:

20

Page 21: AlbertAlbert s’s Cow and Special Relativity: Cow ... - BGUcensor/presentations-directory/special... · AlbertAlbert s’s Cow and Special Relativity: Cow and Special Relativity:

u u V Vu

x( )

( )

x Vx x V t x V t tx x xt t V t V V

2 2

2

( )1

t V t V Vc c t

cV V

1 VV

2 21 1

u V u Vu uV u V uc c

2 2

1

1 1

c V cu c cV c V cc c

21

c c c c

Page 22: AlbertAlbert s’s Cow and Special Relativity: Cow ... - BGUcensor/presentations-directory/special... · AlbertAlbert s’s Cow and Special Relativity: Cow and Special Relativity:

( )x x V t ( ) ( ( ) ( ))x x V t T

2( )xt t Vc

2

( )( ) ( )( )xt t T Vc

T c

2( ), ( )V T T T Vc

1 11 1c T f c T fT T

22

Page 23: AlbertAlbert s’s Cow and Special Relativity: Cow ... - BGUcensor/presentations-directory/special... · AlbertAlbert s’s Cow and Special Relativity: Cow and Special Relativity:

( ) ( ) (1 )T VT T V T V T T

c T

2( ) ( ) (1 )

(1 ) (1 )

T T V T V T Tc c c

V Vf f fc c

f Tf T

f

u

23

Page 24: AlbertAlbert s’s Cow and Special Relativity: Cow ... - BGUcensor/presentations-directory/special... · AlbertAlbert s’s Cow and Special Relativity: Cow and Special Relativity:

24

Page 25: AlbertAlbert s’s Cow and Special Relativity: Cow ... - BGUcensor/presentations-directory/special... · AlbertAlbert s’s Cow and Special Relativity: Cow and Special Relativity:

25

Page 26: AlbertAlbert s’s Cow and Special Relativity: Cow ... - BGUcensor/presentations-directory/special... · AlbertAlbert s’s Cow and Special Relativity: Cow and Special Relativity:

26

Page 27: AlbertAlbert s’s Cow and Special Relativity: Cow ... - BGUcensor/presentations-directory/special... · AlbertAlbert s’s Cow and Special Relativity: Cow and Special Relativity:

( )x x V t ( )x x V t

2( )xt t Vc

2( )xt t Vc

27

Page 28: AlbertAlbert s’s Cow and Special Relativity: Cow ... - BGUcensor/presentations-directory/special... · AlbertAlbert s’s Cow and Special Relativity: Cow and Special Relativity:

28

Page 29: AlbertAlbert s’s Cow and Special Relativity: Cow ... - BGUcensor/presentations-directory/special... · AlbertAlbert s’s Cow and Special Relativity: Cow and Special Relativity:

Baron Munchausen - The Cannonball Ride29

Baron Munchausen The Cannonball Ride

Page 30: AlbertAlbert s’s Cow and Special Relativity: Cow ... - BGUcensor/presentations-directory/special... · AlbertAlbert s’s Cow and Special Relativity: Cow and Special Relativity:

  There was a young lady named Bright who traveled much faster than light.

She started one dayShe started one dayin the relative way,

and returned on the previous nightand returned on the previous night.

30

Page 31: AlbertAlbert s’s Cow and Special Relativity: Cow ... - BGUcensor/presentations-directory/special... · AlbertAlbert s’s Cow and Special Relativity: Cow and Special Relativity:

31

Page 32: AlbertAlbert s’s Cow and Special Relativity: Cow ... - BGUcensor/presentations-directory/special... · AlbertAlbert s’s Cow and Special Relativity: Cow and Special Relativity:

Karl Popper

32

Page 33: AlbertAlbert s’s Cow and Special Relativity: Cow ... - BGUcensor/presentations-directory/special... · AlbertAlbert s’s Cow and Special Relativity: Cow and Special Relativity:

Michelson-Morely

33

Page 34: AlbertAlbert s’s Cow and Special Relativity: Cow ... - BGUcensor/presentations-directory/special... · AlbertAlbert s’s Cow and Special Relativity: Cow and Special Relativity:

Kinematics=Space and Time relations

( )x x V t ( )

( )

x x V txt t V

2

2

1

1 V

2( )t t V

c 2c

All traced back to Einstein’s postulate: c constantAll traced back to Einstein’s postulate: c=constant Dynamics=Mechanics, Electromagnetic, etc. involving Material Objects Postulate needed: “Laws of nature are invariant (same for all observers)”Postulate needed: Laws of nature are invariant (same for all observers) BUT WHAT DOES “LAW OF NATURE” MEAN???

34

Page 35: AlbertAlbert s’s Cow and Special Relativity: Cow ... - BGUcensor/presentations-directory/special... · AlbertAlbert s’s Cow and Special Relativity: Cow and Special Relativity:

BUT WHAT DOES “LAW OF NATURE” MEAN???

Edict by Divine Inspiration???

35

Page 36: AlbertAlbert s’s Cow and Special Relativity: Cow ... - BGUcensor/presentations-directory/special... · AlbertAlbert s’s Cow and Special Relativity: Cow and Special Relativity:

Genesis 8:22 (Hebrew Bible) “ הארץכלעד וחרף:ימי וקיץ וחם וקר וקציר ולילהזרע --ויום ולילה,זרע וקציר וקר וחם וקיץ וחרף: ימי הארץ-כל,עד (Hebrew Bible)ויום ”לא ישבתו

Whil th th i th dti d h t(King James Version) While the earth remaineth, seedtime and harvest, and cold and heat, and summer and winter, and day and night shall not cease.

(Simple English) “As long as the earth exists, sowing and harvest, cold and heat, summer and winter, day and night, will never cease.”, , y g , (Turkish) “Sürece toprak kutsal sayılmaktadır. ekim ve hasat soğuk ve sıcağa yaz ve kış gece ve gündüz ateşkes asla ”sıcağa, yaz ve kış, gece ve gündüz ateşkes asla.

36

Page 37: AlbertAlbert s’s Cow and Special Relativity: Cow ... - BGUcensor/presentations-directory/special... · AlbertAlbert s’s Cow and Special Relativity: Cow and Special Relativity:

37

Page 38: AlbertAlbert s’s Cow and Special Relativity: Cow ... - BGUcensor/presentations-directory/special... · AlbertAlbert s’s Cow and Special Relativity: Cow and Special Relativity:

“Psst… 02

21

mmVc

38

c

Page 39: AlbertAlbert s’s Cow and Special Relativity: Cow ... - BGUcensor/presentations-directory/special... · AlbertAlbert s’s Cow and Special Relativity: Cow and Special Relativity:

“Psst…2 2 2 4

0( )E p c m c ”

39

Page 40: AlbertAlbert s’s Cow and Special Relativity: Cow ... - BGUcensor/presentations-directory/special... · AlbertAlbert s’s Cow and Special Relativity: Cow and Special Relativity:

“P P P P l !!!“Psst… Posst… Postu… Postulate!!!

40

Page 41: AlbertAlbert s’s Cow and Special Relativity: Cow ... - BGUcensor/presentations-directory/special... · AlbertAlbert s’s Cow and Special Relativity: Cow and Special Relativity:

Popperian falsificationism610

Newton: 1/ , 2

Censor: 1/ , 2.000...01

F r

F r

Ce so : / , . ...Anonymous: 1/ , 3

by everyday phenomena,RefutedF r

e.g., Kepler laws of planetary mo oti n.

Occam's (or Ockham's) razor, Latin:lex parsimoniae, law of parsimony.

41

Page 42: AlbertAlbert s’s Cow and Special Relativity: Cow ... - BGUcensor/presentations-directory/special... · AlbertAlbert s’s Cow and Special Relativity: Cow and Special Relativity:

“Psst… Postulate: 02

1

mmV

21c

l i l b 22

2 0m cMultiply by 2c , 2 02

21

m cmcVc

c

Approximate the denominator 2 2 21

Ahaa! I see the light2 2 2

0 01 ... (higher terms)2

mc m c m V

21Interpretation: 20

12

m V classical kinetic energy2E mc total energy 2E m c rest energy

42

E mc total energy, 0 0E m c rest energy.

Page 43: AlbertAlbert s’s Cow and Special Relativity: Cow ... - BGUcensor/presentations-directory/special... · AlbertAlbert s’s Cow and Special Relativity: Cow and Special Relativity:

Cockroft and Walton Experiment Converting Mass into EnergyConverting Mass into EnergyIn 1932, the English physicist John Cockroft and the Irish physicist Ernest Walton produced a nuclear disintegration by bombarding Lithium with artificially accelerated protons.

The following reaction took place:

This was the first artificial splitting of a nucleus. It was also the first transmutation using artificially accelerated particles. y p

Protons were accelerated and slammed into lithium atoms producing alpha-particles and energy. Thus the mass of the proton and lithium was converted into the mass of two alpha-particles and kinetic energy.kinetic energy.

This reaction was the first experimental proof of Einstein's E = mc^2

43

Page 44: AlbertAlbert s’s Cow and Special Relativity: Cow ... - BGUcensor/presentations-directory/special... · AlbertAlbert s’s Cow and Special Relativity: Cow and Special Relativity:

THIS IS ALL, FOLKS, THANK YOU

44

Page 45: AlbertAlbert s’s Cow and Special Relativity: Cow ... - BGUcensor/presentations-directory/special... · AlbertAlbert s’s Cow and Special Relativity: Cow and Special Relativity:

45


Recommended