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Richard Feynman, 1918-1988 Welcome back to 8.033!

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Page 1: Welcome back to 8.033! · Image courtesy of Wikipedia. Image courtesy of Wikipedia. 122 nm 103 nm 97.3 nm 95.0 nm 93. 8 nm 656 nm 486 nm 434 nm 410 nm 1875 n m 1 2 82 nm 1094 nm Paschen

Richard Feynman, 1918-1988

Welcome back

to 8.033!

Page 2: Welcome back to 8.033! · Image courtesy of Wikipedia. Image courtesy of Wikipedia. 122 nm 103 nm 97.3 nm 95.0 nm 93. 8 nm 656 nm 486 nm 434 nm 410 nm 1875 n m 1 2 82 nm 1094 nm Paschen

Summary of last lecture:

• Atomic physics

• Nuclear physics

Image courtesy of Wikipedia.

Image courtesy of Wikipedia.

122 n

m 103 n

m 97.3

nm95.0 nm 93.8 nm

656 nm486 nm

434 nm410 nm

1875 nm

1282 nm

1094 nm Paschen series (infrared)

n = 5

n = 4

n = 3

n = 2

n = 1

n = 6

Lyman series (ultraviolet)

Balmer series (visible)

Figure by MIT OCW.

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E big -> λ small

Image courtesy of Wikipedia.

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MIT Course 8.033, Fall 2006, Lecture 13Max Tegmark

Today’s topics:• Particle physics

• The greatest unsolved problems in physics

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Particlephysics

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CERN particle accelerator

Image courtesy of Wikipedia.

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Lin

ear

part

icle

acc

eler

ator

(F

erm

ilab)

Image courtesy of Wikipedia.

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How derive curvature radius of particle tracks?

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Figure by MIT OCW.

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Courtesy of CPEP. Used with permission.

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WHY?

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The Standard Model Lagrangian

(From T.D. Gutierrez)

L=

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Cmbgg OmOlSt

anda

rd m

odel

par

amet

ers:

Cos

mol

ogy

Parti

cle

phys

ics

Required

Optional

C = h = G

= kb = q

e = 1−

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Cmbgg OmOl How measure?

Stan

dard

mod

el p

aram

eter

s:C

osm

olog

yPa

rticl

e ph

ysic

s

Required

Optional

Why these values?

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Cmbgg OmOl

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Cmbgg OmOl

Page 17: Welcome back to 8.033! · Image courtesy of Wikipedia. Image courtesy of Wikipedia. 122 nm 103 nm 97.3 nm 95.0 nm 93. 8 nm 656 nm 486 nm 434 nm 410 nm 1875 n m 1 2 82 nm 1094 nm Paschen
Page 18: Welcome back to 8.033! · Image courtesy of Wikipedia. Image courtesy of Wikipedia. 122 nm 103 nm 97.3 nm 95.0 nm 93. 8 nm 656 nm 486 nm 434 nm 410 nm 1875 n m 1 2 82 nm 1094 nm Paschen
Page 19: Welcome back to 8.033! · Image courtesy of Wikipedia. Image courtesy of Wikipedia. 122 nm 103 nm 97.3 nm 95.0 nm 93. 8 nm 656 nm 486 nm 434 nm 410 nm 1875 n m 1 2 82 nm 1094 nm Paschen
Page 20: Welcome back to 8.033! · Image courtesy of Wikipedia. Image courtesy of Wikipedia. 122 nm 103 nm 97.3 nm 95.0 nm 93. 8 nm 656 nm 486 nm 434 nm 410 nm 1875 n m 1 2 82 nm 1094 nm Paschen

More energy

Less energy

Page 21: Welcome back to 8.033! · Image courtesy of Wikipedia. Image courtesy of Wikipedia. 122 nm 103 nm 97.3 nm 95.0 nm 93. 8 nm 656 nm 486 nm 434 nm 410 nm 1875 n m 1 2 82 nm 1094 nm Paschen
Page 22: Welcome back to 8.033! · Image courtesy of Wikipedia. Image courtesy of Wikipedia. 122 nm 103 nm 97.3 nm 95.0 nm 93. 8 nm 656 nm 486 nm 434 nm 410 nm 1875 n m 1 2 82 nm 1094 nm Paschen

α β γ

Page 23: Welcome back to 8.033! · Image courtesy of Wikipedia. Image courtesy of Wikipedia. 122 nm 103 nm 97.3 nm 95.0 nm 93. 8 nm 656 nm 486 nm 434 nm 410 nm 1875 n m 1 2 82 nm 1094 nm Paschen
Page 24: Welcome back to 8.033! · Image courtesy of Wikipedia. Image courtesy of Wikipedia. 122 nm 103 nm 97.3 nm 95.0 nm 93. 8 nm 656 nm 486 nm 434 nm 410 nm 1875 n m 1 2 82 nm 1094 nm Paschen
Page 25: Welcome back to 8.033! · Image courtesy of Wikipedia. Image courtesy of Wikipedia. 122 nm 103 nm 97.3 nm 95.0 nm 93. 8 nm 656 nm 486 nm 434 nm 410 nm 1875 n m 1 2 82 nm 1094 nm Paschen

Over 22.6 meters, the gravitational redshift is only 5x10-15, but the Mössbauer effectwith the 14.4 keVgγ−ray from iron-57has a high enough resolution to detect that difference.

Harvard Tower Experiment(Pound & Rebka 1960)

Gamma photons launched upward

Gamma photons dropped

57Fe Source

57Fe Source

57Fe Detector

57Fe Detector

22.6 m 22.6 m

Figure by MIT OCW.

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Image courtesy of NASA and the ESA.

Page 27: Welcome back to 8.033! · Image courtesy of Wikipedia. Image courtesy of Wikipedia. 122 nm 103 nm 97.3 nm 95.0 nm 93. 8 nm 656 nm 486 nm 434 nm 410 nm 1875 n m 1 2 82 nm 1094 nm Paschen
Page 28: Welcome back to 8.033! · Image courtesy of Wikipedia. Image courtesy of Wikipedia. 122 nm 103 nm 97.3 nm 95.0 nm 93. 8 nm 656 nm 486 nm 434 nm 410 nm 1875 n m 1 2 82 nm 1094 nm Paschen

More energy

Less energy

Page 29: Welcome back to 8.033! · Image courtesy of Wikipedia. Image courtesy of Wikipedia. 122 nm 103 nm 97.3 nm 95.0 nm 93. 8 nm 656 nm 486 nm 434 nm 410 nm 1875 n m 1 2 82 nm 1094 nm Paschen

UNSOLVED

PROBLEMS

Page 30: Welcome back to 8.033! · Image courtesy of Wikipedia. Image courtesy of Wikipedia. 122 nm 103 nm 97.3 nm 95.0 nm 93. 8 nm 656 nm 486 nm 434 nm 410 nm 1875 n m 1 2 82 nm 1094 nm Paschen

• Where do the “constants” come from? Why 3+1 dimensions?

• Is there a quantum gravity TOE? (M-theory? Black hole evaporation?)

• Proton decay?

• SUSY?

• Higgs?

• Neutrino properties?

• Dark energy?

• Dark matter?

• Inflation?

UNSOLVED PROBLEMS:

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PREDICTINGPARAMETERS

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It's tough to make predictions, especially about the future.

Yogi Berra

Page 33: Welcome back to 8.033! · Image courtesy of Wikipedia. Image courtesy of Wikipedia. 122 nm 103 nm 97.3 nm 95.0 nm 93. 8 nm 656 nm 486 nm 434 nm 410 nm 1875 n m 1 2 82 nm 1094 nm Paschen

Mass of Earth 5.9742×1024 kg

Semimajor axis of Earth’s orbit

149,597,870,691 m

Mass of electron 9.10938188×10-31

kgBohr Radius of Hydrogen atom

5.29177x10-11 m

Parameter status?

Page 34: Welcome back to 8.033! · Image courtesy of Wikipedia. Image courtesy of Wikipedia. 122 nm 103 nm 97.3 nm 95.0 nm 93. 8 nm 656 nm 486 nm 434 nm 410 nm 1875 n m 1 2 82 nm 1094 nm Paschen

Mass of Earth 5.9742×1024 kg

Semimajor axis of Earth’s orbit

149,597,870,691 m

Mass of electron 9.10938188×10-31

kgBohr Radius of Hydrogen atom

5.29177x10-11 m

Parameter status?

EnvironmentalEnvironmental

Fundamental?

Fundamental?

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Kepler, Newton

Classical Physics

Landscape + Inflation

Level IV Multiverse?

Effective Laws ("Bylaws", "Initial conditions")

Planets are sphericalOrbits are circular

Initial matter distribution (Aµ, Jµ, ψ, ....)

SU(3)xSU(2)xU(1) symmetryDimensionality of spaceConstants (α, ρ , ...)V

TOE equations

FUNDAMENTAL LAWS

Figure by MIT OCW.

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What are the 4 multiverse levels like?

1) Same effective laws of physics, different initial conditions

2) Same fundamental laws of physics, different effective laws

3) Nothing qualitatively new

4) Different fundamental laws of physics

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Three little numbers:

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R~ 1/mpαβ

M~ mp

Weisskopf 1975Carr & Rees 1979

Atom

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AsteroidR~ 1/α1/2β1/2mp

2

M~ α3/2β3/2 /mp2

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The Earth

R~1/mp2α1/2β

M~ α3/2 /mp2

Weisskopf 1975Carr & Rees 1979

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R~ 1/mp3/2α3/4β

M~ α3/4 /mp1/2

Carr & Rees 1979

Mt. Fuji

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M~ 1/mp2

Weisskopf 1975Carr & Rees 1979

Image courtesy of NASA.

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R~ α3β /mp3β3/2

M~ α5 /mp3β1/2

Carr & Rees 1979

Image courtesy of Wikipedia.

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R~ 1/mp5

M~ 1/mp5

Carr & Rees 1979

The known universe

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Cmbgg OmOl

Bas

ed o

n C

arr &

Ree

s 197

9,B

arro

w &

Tip

ler1

986

Inside

black

hole

Below quantum

limit

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Cmbgg OmOl

Bas

ed o

n C

arr &

Ree

s 197

9,B

arro

w &

Tip

ler1

986

Inside

black

hole

Below quantum

limit

Fine-tuning? NO!

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Figure 4 from Tegmark, “Is `the theory of everything' merely the ultimate ensemble theory?”http://arXiv.org/abs/gr-qc/9704009

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Most spectacular fine tunings known:

•Dark energy density

•Higgs VEV

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Cmbgg OmOl

Agr

awal

, Bar

r, D

onog

hue

& S

ecke

l199

8, P

RL, 8

0, 1

822

• v/v0<0.5: protons (uud) decay into neutrons (udd)•v/v0<0.8: diproton & dineutron• v/v0=1: we are here• v/v0>2: deuterium unstable• v/v0>5: neutrons (udd) unstable even in nuclei• v/v0>103: protons (uud) decay to Δ++ (uuu)

Effect of Higgs VEV v=246 GeV:

Courtesy of Physics Review Letters. Used with permission.

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α+ α →8Be8Be+ α →12C12C+ α →16O

Figure 1 from Oberhummer, Csoto & Schlattl, “Stellar production rates of carbon and its abundance in the universe.” http://arXiv.org/abs/astro-ph/0007178

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4 effective spatial dimensions: no stable orbits, no stable atoms(Ehrenfest 1917; Tangherlini 1963)

Figure 6 from Tegmark, “Is `the theory of everything' merely the ultimate ensemble theory?”http://arXiv.org/abs/gr-qc/9702052

Page 52: Welcome back to 8.033! · Image courtesy of Wikipedia. Image courtesy of Wikipedia. 122 nm 103 nm 97.3 nm 95.0 nm 93. 8 nm 656 nm 486 nm 434 nm 410 nm 1875 n m 1 2 82 nm 1094 nm Paschen

Figure 7 from Tegmark, “Is `the theory of everything' merely the ultimate ensemble theory?”http://arXiv.org/abs/gr-qc/9702052