Schiller MotionMountain-Vol6

8/6/2019 Schiller MotionMountain-Vol6

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Chrsph Schller

MOTION MOUNTAINthe adventure of physics vol.vi

a speculation on unification

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Motion Mountain

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PREFACE

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M, 27 A 2011.

MotionMountainTheAdventureofPhysics

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eofchargeatwww.motionmountain.net

CopyrightChristophSchillerNovember1997April2011
http://www.motionmountain.net/http://www.motionmountain.net/http://www.motionmountain.net/http://www.motionmountain.net/http://www.motionmountain.net/http://www.motionmountain.net/http://www.motionmountain.net/http://www.motionmountain.net/http://www.motionmountain.net/http://www.motionmountain.net/http://www.motionmountain.net/http://www.motionmountain.net/http://www.motionmountain.net/http://www.motionmountain.net/http://www.motionmountain.net/http://www.motionmountain.net/http://www.motionmountain.net/http://www.motionmountain.net/http://www.motionmountain.net/http://www.motionmountain.net/http://www.motionmountain.net/http://www.motionmountain.net/http://www.motionmountain.net/http://www.motionmountain.net/http://www.motionmountain.net/http://www.motionmountain.net/http://www.motionmountain.net/http://www.motionmountain.net/http://www.motionmountain.net/http://www.motionmountain.net/http://www.motionmountain.net/http://www.motionmountain.net/http://www.motionmountain.net/http://www.motionmountain.net/http://www.motionmountain.net/http://www.motionmountain.net/http://www.motionmountain.net/http://www.motionmountain.net/http://www.motionmountain.net/http://www.motionmountain.net/http://www.motionmountain.net/http://www.motionmountain.net/http://www.motionmountain.net/http://www.motionmountain.net/http://www.motionmountain.net/http://www.motionmountain.net/http://www.motionmountain.net/http://www.motionmountain.net/http://www.motionmountain.net/http://www.motionmountain.net/http://www.motionmountain.net/http://www.motionmountain.net/http://www.motionmountain.net/http://www.motionmountain.net/http://www.motionmountain.net/http://www.motionmountain.net/http://www.motionmountain.net/http://www.motionmountain.net/http://www.motionmountain.net/http://www.motionmountain.net/http://www.motionmountain.net/http://www.motionmountain.net/http://www.motionmountain.net/http://www.motionmountain.net/http://www.motionmountain.net/http://www.motionmountain.net/http://www.motionmountain.net/http://www.motionmountain.net/http://www.motionmountain.net/http://www.motionmountain.net/http://www.motionmountain.net/http://www.motionmountain.net/http://www.motionmountain.net/http://www.motionmountain.net/http://www.motionmountain.net/http://www.motionmountain.net/http://www.motionmountain.net/http://www.motionmountain.net/http://www.motionmountain.net/http://www.motionmountain.net/http://www.motionmountain.net/http://www.motionmountain.net/http://www.motionmountain.net/http://www.motionmountain.net/http://www.motionmountain.net/http://www.motionmountain.net/http://www.motionmountain.net/http://www.motionmountain.net/http://www.motionmountain.net/http://www.motionmountain.net/http://www.motionmountain.net/http://www.motionmountain.net/http://www.motionmountain.net/http://www.motionmountain.net/http://www.motionmountain.net/http://www.motionmountain.net/http://www.motionmountain.net/http://www.motionmountain.net/http://www.motionmountain.net/http://www.motionmountain.net/http://www.motionmountain.net/http://www.motionmountain.net/http://www.motionmountain.net/http://www.motionmountain.net/http://www.motionmountain.net/http://www.motionmountain.net/http://www.motionmountain.net/http://www.motionmountain.net/http://www.motionmountain.net/http://www.motionmountain.net/http://www.motionmountain.net/http://www.motionmountain.net/http://www.motionmountain.net/http://www.motionmountain.net/http://www.motionmountain.net/http://www.motionmountain.net/http://www.motionmountain.net/http://www.motionmountain.net/http://www.motionmountain.net/http://www.motionmountain.net/http://www.motionmountain.net/http://www.motionmountain.net/http://www.motionmountain.net/http://www.motionmountain.net/http://www.motionmountain.net/http://www.motionmountain.net/http://www.motionmountain.net/http://www.motionmountain.net/http://www.motionmountain.net/http://www.motionmountain.net/http://www.motionmountain.net/http://www.motionmountain.net/http://www.motionmountain.net/http://www.motionmountain.net/http://www.motionmountain.net/http://www.motionmountain.net/http://www.motionmountain.net/http://www.motionmountain.net/


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8 preace

Galilean physics, heat and electricityAdventures: sport, music, sailing, cooking,describing beauty and understanding its origin,

using electricity and computers,

understanding the brain and people.

Special relativityAdventures: light,magnetism, length

contraction, time

dilation and

E0 = mc2.

Quantum theoryAdventures: death,sexuality, biology,

enjoying art and

colours, all high-tech

business, medicine,

chemistry, evolution.

Quantumtheory with gravity Adventures: bouncing

neutrons, under-

standing treegrowth.

Unified description of motion Adventures: understanding

motion, intense joy with

thinking, catching aglimpse of bliss,

calculating

masses and

couplings.

G c h, e, k

PHYSICS:Describing motion with action.

Quantum field theoryAdventures: buildingaccelerators, under-

standing quarks, stars,

bombs and the basis of

life, matter, radiation.

How doeveryday,fast and largethings move?

How do smallthings move?What are things?

Why does motionoccur? What arespace, time and

quantum particles?

General relativityAdventures: thenight sky, measu-ring curved space,

exploring black

holes and the

universe, spaceand time.

Classical gravityAdventures:climbing, skiing,

space travel,

the wonders of

astronomy and

geology.

F IG UR E 1 A complete map of physics: the connections are defined by the speed of light c, thegravitational constant G, the Planck constant h, the Boltzmann constant k and the elementary charge e.

Using this ile

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preace

Feedback and support

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Contents

7 From millennium physics to uniicationA f W H f f

4 Physics in limit statements24 Simpliying physics as much as possible

C S 5 Q 6 T G 8 D D- T z A

33 Planck limits or all physical observablesP, 5 L , z 5 M

6 V f 6 C P

41 Cosmological limits or all physical observablesSz A S F, T C - 5 C T L 8 N

8 V : 8 M

50 Summary on limits in nature

General relativity versus quantum theory

T 5 T 5 T -: P 55 R 5 T 58 S 58

4 Does matter dier rom vacuum?F 5 F 6 T z 6 F - 6 F 66 F - 66 F -, 6 C - ? 68 A 6 F F A F M - 5 C P 6 C

8 S 8 S 8

What is the dierence between the universe and nothing?C 85 M 86 D f? 86 H ? 8 D ? 8 W ? 8 M I ? T ? 5 D ? 5 D ? 6 D


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contents

? D ? 8 D -? I ? A C H T

D ? A - 5 E 5 I ? 6 S A 8

he shape o points extension in nature

110 Te size and shape o elementary particlesD ? C G ? T A f? C ? W ? I f? S f 5

115 Te shape o points in vacuumM 6 W f

? S 117 Te large, the small and their connection

I ? 8 Uf S

120 Does nature have parts?D ? A S

124 Te entropy o black holesS f 6

126 Exchanging space points or particles at Planck scalesS

127 Te meaning o spin

S 8128 Curiosities and un challenges about extensionG

130 Checks o extensionC S W - W : - T 5 S 6

7 he basis o the strand model

R f 8 I F V 6 O P

f 8 C 8 D ? T 5 A f? O -z f 5 W ? S 5 W ? T 55 F 5 S 58

Quantum theory o matter deduced rom strands

S, 5 T , / 6 A: 6 F, 6 B,


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contents

66 : 6 D - 6 6 D S M 6 P

Q D P - R 8 M - 8 M- 8 M 85 T - 85 O H 8 H KS 88 L

88 S : S -: D Vz D 5 Q . f A : G F 8 S - :

Gauge interactions deduced rom strands

I -

206 Electrodynamics and the frst Reidemeister moveS , f R 6 C ? E 8 C: W ? E f T L f U() U() T L QED F z M F QED 8 S QED

221 Te weak nuclear interaction and the second Reidemeister moveS, SU() W W

5 T L SU() 6 SU() 6 T L 8 T F F S

232 Te strong nuclear interaction and the third Reidemeister moveS , R F SU() O : F T

L C 8 P T L QCD Rz C- SU() S

243 Summary on millennium issues: gauge interactions

P Uf P f N - T

4 General relativity deduced rom strands

F , 6 C C Hz 5 I z? 5 E z 5 E z 5 , 55 B 56 C 5 T f 58 E


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4 contents

5 T H 5 G 6 O : I - 6 O 6 ,

6 P - 6

265 CosmologyT f 65 T 6 T - 6 T 6 O : A ? 6 T 6 P S :

7 Particles and their properties deduced rom strands

272 Particles and quantum numbers rom tanglesP U G 5 C 6 C S

P Q Q - 8 T 8 G 8 T C M I 8 S - 8 P- 8 L 8 O : F 86 T H 86 Q- 8 M M , f CP 5 O - 6 S - 6 6 B 6 O S F M S -

6 P LHC S 308 Te masses o the elementary particles

G 8 B Q L T -: P

O : S 5

316 Mixing angles

Q 6 A 8 CP- 8 N 8 CP- O : C S

321 Coupling constants and unifcationS f P - C z E f - 5 E f - 6 E f 6 T P T 8 C P 8 O : C- 8 S -


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contents 5

330 Te fnal summary on the millennium issues331 Experimental predictions o the strand model

4 he top o Motion Mountain334 Our path to the top

E : f R : f 5 Uf: f

338 New sightsT 8 C z? W ? Q C W ? M f T W ? 5

346 A return path: je rve, donc je suis348 What is motion?

Postace

a Kno t geom etr y

4 Challenge hints and solutions

Bibliography

7 CreditsA 8 F 8 I

Name index

Subject index


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A Speculation on

Uniication

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C h a p t e r 1

FROM MILLENNIUM PHYSICS TO

UNIFICATION

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A q f j physics. Ov , v v .W v , , , , vv, . W ; , v , ;

, - . P, the science o motion, .

A , allv . T z .

I , . A q . T : motion minimizes change.A , , - v v , v.Ref. 1, Ref. 3

I , v x , c. Tv x special relativity. A , qv, v.Ref. 2

I , v , P c4/G. Tv x general relativity. A , v v, v.Ref. 2

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8 rom millennium physics to uniication

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I , -z, v , q .T v v quantum theory. A , x , x j .Ref. 4

I , q . M ermions: x q, , .R bosons: , v . F v . T , . , q, x , -standard model o particle physics. A , x

, , .Ref. 4

T , millennium description o physics, v 2000 . T , ,, j, , , , v. O v . A x . W . A x . W v , .I : .

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, . I , v v, , . H ? W three , twelve , twelve three ? A -? T q f, .

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TA B LE 1 The millennium list: everything particle physics and general relativity cannot explain; thus, also

the list of the onlyexperimental data available to test the final, unified description of motion.

O b s e r va b l e P ro p e r t y u n e x p l a i n e d i n t h e y e a r 2 0 0 0

Local quantities, rom quantum feld theory: particle properties

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rom millennium physics to uniication

TA B LE 1 (Continued) Everything the standard model and general relativity cannot explain.

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Local mathematical structures, rom quantum feld theory

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Global mathematical structures, rom general relativity

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Against a inal theory

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