Discovery of cosmic fractals

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1. Verfasser: Baryshev, Yurij (VerfasserIn)
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Veröffentlicht: River Edge, NJ [u.a.] World Scientific 2002
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_version_ 1819772083570212864
adam_text DISCOVERY^ COSMIC FRACTALS YURIJ BARYSHEV ASTRONOMICAL INSTITUTE ST. PETERSBURG UNIVERSITY RUSSIA PEKKA TEERIKORPI TUORLA OBSERVATORY UNIVERSITY OF TURKU FINLAND WORLD SCIENTIFIC NEW JERSEY * LONDON * SINGAPORE * HONG KONG CONTENTS FOREWORD BY BENOIT MANDELBROT XVII PREFACE XXV PROLOGUE XXIX PART I THE SCIENCE OF COSMIC ORDER 1 CHAPTER 1 THE BIRTH OF COSMOLOGICAL PRINCIPLES 3 1.1 THE SEEDS WERE SOWN - THE MYTH EXPLAINS THE WORLD 3 1.2 CELESTIAL WRITING ON THE BABYLONIAN SKY 5 1.3 THE IONIAN REVOLUTION 6 1.4 ANAXIMANDER SOLVES THE PARADOX OF UNFAILING EARTH . . . . . . 7 1.5 THE SKY BECOMES A SPHERE . . 8 1.6 ATOMISTS SEE A GLIMPSE OF THE MICROCOSM . 9 1.7 PLATO S MATHEMATICAL HEAVEN :* . 10 1.8 ARISTOTLE S SCIENTIFIC METHOD . 12 1.9 THE PRINCIPLE OF CIRCULAR MOTION . . . . . . . . . . . . . . . : . . 13 1.10 BUT WHAT IS ACTUALLY ROTATING? ..... . -. 15 1.11 TOWARDS THE PRINCIPLE OF NO CENTER 16 1.12 THE WISDOM OF ANTIQUITY WAS KEPT ALIVE . . . . . . . . . . . . 16 1.13 THE WORLD EDIFICE OF THE MIDDLE AGES . ... 18 CHAPTER 2 THE GATE INTO COSMIC ORDER 21 2.1 ROOTS OF DE REVOLUTIONIBUS .-..... . 21 VIII CONTENTS 2.2 NEW UNDERSTANDING ON MATTERS CELESTIAL . 22 2.3 THE YOUNG RHETICUS VISITS THE OLD COPERNICUS 24 2.4 BRUNO BREAKS THE STELLAR SPHERE , . . ,, 25 2.5 ...AND GALILEO OPENS THE GATE . . . . . . . . . . . . . . . . . . 27 2.6 THE BLURRED NEW VIEW THROUGH THE MAGNIFYING TUBE . . . . . . 28 2.7 KEPLER S LAWS OF COSMIC ORDER 29 2.8 NICHOLAS OF CUSA: THE CENTER IS EVERYWHERE 30 2.9 DIGGES, BRUNO, AND THE COPERNICAN PRINCIPLE 31 2.10 THE FIRST STEPS ON THE COSMIC DISTANCE LADDER 34 2.11 STARS ARE REMOTE SUNS 35 2.12 UNDERSTANDING THE NEW COSMIC ORDER . . 37 2.13 THE TRIUMPH OF NEWTON S UNIVERSAL/GRAVITY 39 2.14 JUST ADD ONE PARTICLE MORE... . ** ** 40 CHAPTER 3 THE PARADOXAL UNIVERSE OF SIR ISAAC 41 3.1 STRUCTURE OF THE HEAVENS . 41 3.2 NEWTON S COSMOLOGY IN A NUTSHELL 43 3:3 COSMQLOGICAL PARADOX . . . . . . . . . . 43 3.4 WHY DO WE NOT FEEL AN INFINITE GRAVITY FORCE? . . . . . . . . . 44 3.5 HOW TO TAME THE INFINITE GRAVITY? 45 3.6 IF, HOWEVER, A UNIFORM INFINITE CLOUD OF STARS EXISTS, WHY HAS IT NOT COLLAPSED? . 47 3.7 WHY IS THE NIGHT SKY SO DARK? 48 3.8 THE RIDDLE OF THE SHINING STARS :... . 50 3.9 WHAT HAS SAVED US FROM THE ULTIMATE HEAT DEATH? * 51 CHAPTER 4 THE DREAM OF A HIERARCHICAL WORLD: PROTOFRACTALS 53 4.1 STARS AND NEBULAE . . . . 53 4.2 EMANUEL SWEDENBORG . . . : . . . . . . . . . . . . . 54 4.3 CARTESIAN PHYSICS 56 4.4 THE SWEDENBORG SELF-SIMILAR UNIVERSE, 57 4.5 TOWARDS THE ORIGIN OF THE SOLAR SYSTEM 59 4.6 HIERARCHIES OF KANT AND LAMBERT 60 4.7 FINITE OR INFINITE? 62 *4.8 EMERGING PROTOFRACTALS . . 63 4.9 INWARDS AND OUTWARDS . . .. . 65 CONTENTS IX PART II COSMOLOGICAL PHYSICS FOR THE REALM OF GALAXIES 67 CHAPTER 5 THE NEW WORLD OF RELATIVITY AND QUANTUM FORCES 69 5.1 THE PRINCIPLE OF RELATIVITY 69 5.2 THE RELATIVJSTIC PHYSICS OF POINCARE AND EINSTEIN . . . . . . . 70 5.3 VELOCITY OF LIGHT 72 5.4 FROM CLASSICAL SPACE AND TIME 73 5.5 ... TO RELATIVISTIC SPACE-TIME . . . . 74 5.6 TIME TRAVEL INTO THE FUTURE WITH A ONE-WAY TICKET 75 5.7 REST MASS ENERGY: E = ME 2 75 5.8 LIGHT, ELECTRICITY, AND MAGNETISM . . . . . . . .~ * .-.. 76 5.9 LEAST ACTION, SYMMETRY, CONSERVATION LAWS 77 5.10 QUANTUM PHYSICS OF THE MICROWORLD . . 78 5.11 HEISENBERG S UNCERTAINTY PRINCIPLE: NEBULOUS PARTICLE . .- . . . 79 5.-12. THE SEARCH FOR GENUINE ATOMS 80 5.13 QUARKS HIDE INSIDE PROTONS . . 83 5.14 THE QUANTUM NATURE OF FUNDAMENTAL FORCES 84 5.15 FUR COAT OF VIRTUAL PARTICLES AND THE BOILING VACUUM . . . . 85 5.16 SPIRALING DOWN INTO THE MICROCOSM? . 87 5.17 FROM TERRESTRIAL TO COSMIC LABORATORY 88 CHAPTER 6 GRAVITY * THE ENIGMATIC CREATOR OF ORDER 89 6.1 THE NATURE OF GRAVITY . . . . . . . . 7. .... 89 6.2 NEWTON S LAW AND THE GRAVITATIONAL CONSTANT 90 6.3 THE RIDDLE OF INERTIAL AND GRAVITATING MASSES . * * * 91 6.4 RELATIVISTIC GRAVITY EMERGES IN OUR SOLAR SYSTEM 92 6.5 GEOMETRY OF CURVED SPACES -. ... 93 6.6 GENERAL RELATIVITY AS GEOMETRICAL GRAVITY THEORY 95 6.7 WHAT CAUSES GRAVITY ACCORDING TO GENERAL RELATIVITY? 97 6.8 BIG BANG, BLACK HOLE, TIME MACHINE 98 6.9 ... BUT RIDDLES STILL EXIST 99 6.10 FEYNMAN S QUANTUM FIELD APPROACH TO GRAVITY 100 6.11 RELATIVISTIC EFFECTS IN QUANTUM FIELD GRAVITY 102 6.12 GRAVITY AS A BUILDER OF CELESTIAL STRUCTURES . . . . . . . . . . . 103 6.13 ENERGY FLOWS AND ORDER FROM CHAOS 104 6.14 A STAR IS A SELF-GRAVITATING NUCLEAR REACTOR 105 6.15 EXPLODING STARS - THE END OF THE FIGHT? . . .106 X CONTENTS CHAPTER 7 THE LAW OF REDSHIFT IN THE KINGDOM OF GALAXIES 109 7.1 THE ISLAND UNIVERSES ;I . . 109 7.2 THE DISTANCE TO THE LITTLE CLOUD IS MEASURED . . . . . . . . ILL 7.3 PULSATING STARS LIGHT UP THE WAY TO ANDROMEDA ILL 7.4 THE DIVERSITY OF GALACTIC GEOMETRIES ; . . . * 112 7.5 OUR HOME GALAXY - THE MILKY WAY .. ...-.; .-........ 114 7.6 SPECTRA - FINGERPRINTS OF STELLAR MATTER * * * 115 7.7 SPECTRAL LINE SHIFT - A CELESTIAL MESSAGE . . 116 7.8 DISCOVERY OF EXTRAGALACTICREDSHIFTS 117 7.9 THE SEARCH FOR A RELATION BETWEEN REDSHIFT AND DISTANCE . ... 118 7.10 THE LAW OF REDSHIFTS: A NEW COSMIC PHENOMENON 119 7.11 GALAXIES LIVE IN SWARMS . . . : . - . . . . 121 .7.12 SUPER ENERGIES IN THE GALAXY UNIVERSE/. . . . . . . . . . . . . 122 7.13 ANOMALOUS REDSHIFTS - THE EXCEPTION TO THE RULE? 125 7.14 REDSHIFT QUANTIZATION? . . . . . . . . . . 126 CHAPTER 8 THE TRIUMPH OF UNIFORMITY IN COSMOLOGY * 129 8,.L FIIEDMANN-S DISCOVERY OF EXPANDING UNIVERSES . . 129 8.2 COSMOLOGICAL-REDSHIFT IN EXPANDING SPACE . . . . . . . . . . . 132 8.3 UNIFORMITY GIVES RISE TO THE HUBBLE LAW 133 8.4 THE HUBBLE CONSTANT MEASURES THE AGE OF THE UNIVERSE . . . ... 134 8.5 THE OLDEST STARS - ALMOST AS ANCIENT AS THE UNIVERSE ....... 135 8:6 THE GEOMETRIES OF FRIEDMANN S WORLD MODELS 137 8.7 THE COSMIC DENSITY OF MATTER IN THE UNIVERSE . . . . . . . . . 138 8.8 GEORGE GAMOW S HOT BEGINNING 139 8.9 DISCOVERY OF THE COSMIC THERMAL RADIATION, . . 140 8.10 THE 3 KELVIN GLOW - THE COOL RELIC OF THE HOT BANG 141 8.11 COOKING THE LIGHT ELEMENTS 142 8.12 AFTER SOLVING NEWTON S PARADOXES OF INFINITY... . 143 8.13 ... NEW ENIGMAS OF FRIEDMANN S UNIFORM WORLD APPEAR . . . .143 8.14 INFLATION COMES AND RESOLVES THE PARADOXES 144 8.15 THE AGE OF THE INFLATIONARY UNIVERSE .. . 145 8.16 WHEN WERE THE GALAXIES AND THEIR CLUSTERS BORN? , 146 8.17 THE BIG BANG TRIUMPH - ITS.LOGIC AND COMPONENTS . 147 CONTENTS XI PART III THE ELUSIVE SIMPLICITY OF UNI- FORM SPACE AND MATTER 149 CHAPTER 9 THE MYSTERIOUS SINGULARITY 151 9.1 A UNIFORM MATTER DISTRIBUTION LEADS TO A SINGULARITY . . . . . 151 9.2 WHAT IS A BLACK HOLE SINGULARITY? . 152 9.3 EINSTEIN OBJECTS TO THE PHYSICAL REALITY OF THE SINGULARITY . . . 153 9.4 ARE THERE ALTERNATIVES TO SINGULARITY? 155 9.5 GRAVASTARS, ETERNALLY COLLAPSING OBJECTS, DARK STARS 156 9.6 RELATIVISTIC ASTROPHYSICS PROBES STRONG GRAVITY . 157 9.7 A BINARY PULSAR - AN IDEAL GRAVITY LABORATORY 158 9.8 THE SEARCH FOR GRAVITY WAVES FROM COLLAPSING STARS 159 9.9 TWO CLOSEST SUPERNOVAE - SIGNS OF GRAVITY WAVES? 161 9.10 X-RAYS BETRAY BLACK HOLES IN BINARY STARS . .... 162 9.11 THE BEST CANDIDATE SITS AT THE CENTER OF THE MILKY WAY . . . . 163 9.12 SUPERMASSIVE OBJECTS IN THE NUCLEI OF OTHER GALAXIES . 164 9.13 APPROACHING THE HORIZON. 165 9.14 ...MAY OFFER UNEXPECTED SURPRISES 166 9.15 THE RAPID VARIABILITY OF QUASARS AS PROBE OF GRAVITY 167 9.16 COSMOLOGY REQUIRES RELATIVISTIC AND QUANTUM GRAVITY . . . . . 168 CHAPTER 10 DARK MATTER - THE GREY EMINENCE 171 10.1 EARLY SIGNS OF DARK MATTER 171 10.2 INVISIBLE MATTER MAKES GALAXIES REVOLVE RAPIDLY . ... . . . . . 172 10.3 GRAVITY LENSES PROBE THE DARK MATTER .. 173 10.4 MACHOS IN THE HALO OF THE MILKY WAY 175 10.5 DO ARP S QUASARS REVEAL DARK MATTER IN GALAXY HALOES? . ... 176 10.6 MUCH MORE IN A CLUSTER OF GALAXIES THAN THE EYE SEES 177 10.7 THE TOTAL AMOUNT OF DARK MATTER IN THE UNIVERSE 178 10.8 AN OCEAN OF MASSIVE NEUTRINOS? . 179 10.9 THE SEARCH FOR DARK MATTER GOES ON 181 CHAPTER 11 DARK ENERGY * THE NEW EMPEROR 183 11.1 REVOLUTION IN COSMOLOGY - EINSTEIN S LAMBDA RETURNS! 183 11.2 A SHORT COURSE IN THE PHYSICS OF NOTHING . . . 186 11.3 DARK ENERGY, QUINTESSENCE, SPINTESSENCE 187 11.4 A BIT OF HISTORY: REDSHIFT AND DE SITTER S EFFECT 188 11.5 THE AGE OF AN ACCELERATING UNIVERSE 189 XII CONTENTS 11.6 T H E FIFTH E L E M E N T M A Y RULE IN Y O U R B A C K Y A R D . . . . . . . . . . 1 9 0 CHAPTER 12 EXPANSION AND CURVATURE OF C.PACE 193 12.1 THE NATURE OF REDSHIFT-ALLAN SANDAGE S 15TH PROBLEM . . . . 193 12.2 UNDERSTANDING THEEXPANSION OF SPACE 196 12.3 THE LEMAITRE PHENOMENON VERSUS THE DOPPLER EFFECT 198 12.4 WHAT IS THE FATE OF ENERGY IN EXPANDING SPACE? . . 200 12.5 SUPERLUMINAL RECESSION OF REMOTE GALAXIES ./. 202 12.6 GEOMETRY AND PHYSICS: VIEWS OF POINCARE AND EINSTEIN . . . . 203 12.7 ABSOLUTELY SOFT AND HARD METER STICKS 204 12.8 GEOMETRY OF SPACE IN THE LOCAL GALAXY UNIVERSE 205 12.9 THE CLASSICAL COSMOLOGICAL TESTS OF SPACE GEOMETRY 206 12.10 , THE PATCHY MICROWAVE SKY BRINGS EUCLID BACK 209 12.11 THE ENIGMATIC UNITY OF SPACE, MATTER, AND ENERGY . . . . . . . 210 F I PART IV THE FRACTAL ARCHITECTURE OF THE UNIVERSE 213 CHAPTER 13 COSMIC HIERARCHIES: FROM DREAM TO SCIENCE 215 13.1 SEARCHING THE HEAVENS FOR NEBULAE 215 13.2 JOHN HERSCHEL S PRINCIPLE OF SUBORDINATE GROUPING .217 13.3 FOURNIER D ALBE S BRAVE NEW WORLDS 218 13.4 GRAVITY WITHIN FOURNIER S HIERARCHY . . . 221 13.5 CARL CHARLIER WRESTLES WITH INFINITIES 221 13.6 CHARLIER S CRITERIA FOR INFINITE WORLDS . . . 223 13.7 TOWARDS HIERARCHIC WORLDS WITHOUT A MIDDLE POINT . . ... . . 224 13.8 KNUT LUNDMARK S GREAT PLAN . . ... . 226 CHAPTER, 14 THE CHARM OF SELF-SIMILARITY 229 14.1 THE FRACTAL ORBIT OF MANDELBROT 229 14.2 THE CONCEPT OF THE FRACTAL . . 231 14.3 KOCH S CURVE OR SNOW FLAKE 233 1.4.4 THE SIMPLE MEASURE OF COMPLEX STRUCTURES 234 14.5 THE FRACTAL DIMENSION OF FOURNIER-CHARLIER WORLDS . . . . . . . 236 14.6 CREATIVITY OF FRACTALS . 237 14.7 RANDOM FRACTALS AND BROWNIAN MOTION . . .... 239 14.8 PERCOLATION - A PROCESS LEADING TO FRACTALS . . . . . . . . . . . 240 CONTENTS XIII 14.9 FRACTAL STRUCTURES VERSUS SMOOTH DISTRIBUTIONS 240 14.10 FRACTAL VIEW OF NATURE 242 14.11 THE FRACTAL DIMENSION OF ABSTRACT ART . 244 CHAPTER 15 FRACTAL AND CHAOS: PLANETS, STARDUST, DARK HALOES 247 ~ 15.1 ORDER AND CHAOS REVEALED.BY THE SOLAR SYSTEM . 247 15.2 CHAOS, STRANGE ATTRACTORS, AND FRACTALS 250 15.3 HOW A PENDULUM CONNECTS CHAOS AND FRACTALS 252 15.4 PROTOCHAOS IN SWEDENBORG S VISION OF EVOLUTION . . . . . . . 254 15.5 TO THE MICROCOSMOS - AND BACK TO THE PLANETS AGAIN: NOTTALE S FRACTAL SPACE-TIME . . . . 255 15.6 RUGGED PLANETARY LANDSCAPES ; 258 15.7 DENSE DUST CLOUDS - COCOONS OF STARS 260 15.8 A CASE STUDY OF NATURAL FRACTALS: INTERSTELLAR CLOUDS 262 15.9 DARK CLOUDS, MOLECULAR COMPLEXES, CIRRUS FILAMENTS. 264 15.10 GALAXY HALOES - DARK MASS HIDING IN FRACTALS? 266 15.11 FRACTAL GAS CLOUDS BETWEEN GALAXIES 268 CHAPTER 16 REDSHIFT * THE QUIET COSMOGRAPHER 269 16.1 HUBBLE S LAW OF REDSHIFTS IS A DISTANCE INDICATOR . . . . . ... 269 16.2 THE HUBBLE CONSTANT MEASURED BEFORE HUBBLE... . . . . . . . 271 16^3 THE HUBBLE CONSTANT: 100 OR 72 OR 50? . . . . . . . . . . . . . 272 16.4 DISTANCES TO GALAXIES - A MISSION IMPOSSIBLE? 272 16.5 THE NOTORIOUS MALMQUIST BIAS .. ... 276 16.6 WHAT, AFTER ALL, IS THE VALUE OF THE HUBBLE CONSTANT? . . . . . 277 16.7 GALAXY CLUSTERS PAINTED ON THE CELESTIAL SPHERE . 278 16.8 THE ORIGIN OF THE DEBATE ON SUPERCLUSTERS 279 16.9 ABELL S RICH CLUSTERS OF GALAXIES 281 16.10 LOOKING THROUGH THE DUSTY WINDOW 282 16.11 3-D ASTRONOMY FROM THE VERTEX OF A SPACE CONE : 284 16.12 EXCURSIONS INTO THE LOCAL GALAXY UNIVERSE AND BEYOND 287 16.13 THE MYSTERIOUS QUIETNESS OF THE HUBBLE FLOW . . . . . 289 16.14 THE REDSHIFT OF QUASARS AS A DISTANCE INDICATOR . . . . . . . . . 292 CHAPTER 17 FRACTAL STRUCTURE OF THE GALAXY UNIVERSE 295 17.1 EINSTEIN S COSMOLOGICAL PRINCIPLE 295 17.2 MANY FACES OF THE COSMOLOGICAL PRINCIPLE . . . . . . . . . . . 297 17.3 THE DERIVATION OF UNIFORMITY FROM LOCAL ISOTROPY . 298 XIV . CONTENTS 17.4 THE GALAXY UNIVERSE MAY SEEM RATHER SMOOTH.. 300 17.5 ... BUT THE UNIFORMITY IS ELUSIVE . 301 .17.6 CARPENTER - DE VAUCOULEURS S LAW OF GALAXY CLUSTERING .... 302 17.7 MANDELBROT S FRACTAL VIEW OF GALAXY CLUSTERING . . . . . . . . . 305 17.8 DOES ISOTROPY ALWAYS IMPLY UNIFORMITY? . . . . . . . . . . . . 306 17.9 DO WE LIVE ON THE PEAK OF A MOUNTAIN? . . . . : . . 308 17.10 MODERN REDSHIFT SURVEYS OF GALAXIES . . . . . . . . . . . . . . . 311 17.1-1 PIETRONERO AND THE FIVE MEGAPARSEC MYSTERY 312 17.12 THE GREAT FRACTAL DEBATE ...... . . . . . . . . ; . 314 17.13 THE CORRELATION FURICTIDNPBINTS AT 5 MPC 317 17.14 THE CONDITIONAL DENSITY COMES AND FINDS FRACTALITY . . ... . 318 17.15 TO SEARCH FOR OR TO COUNT ON UNIFORMITY? 321 17.16 TOWARDS EINSTEIN-MANDELBROT CONCORDANCE . . . : . . . . . . 322 17.17 EVERYTHING WE KNOW ABOUT THE CDSMOS? 324 17.18 OPENING THE MILLENIUM: THE RACE TO A FAIR SAMPLE 325 CHAPTER 18 THE ORIGINS OF MEGAFRACTALS 329 J8D- THE LADDER OF KEY DISCOVERIES 329 ~48R2-~^THE THREE WHALES OF COSMOLOGY 331 18.3 THE ART OF MAKING UNIVERSES . 332 18.4 ART IS,LONG, LIFE IS SHORT. . . . 334 18.5 GROWTH OF LARGE SCALE STRUCTURES IN BIG BANG COSMOLOGY . . . . 336 18.6 THE SMOOTH HUBBLE LAW IGNORES LOCAL ROUGHNESS . . 339 18.7 GRAVITATIONAL REDSHIFT INSIDE A FRACTAL STRUCTURE 342 18.8 A FRIEDMANN UNIVERSE WITH FRACTAL GALAXY DISTRIBUTION . . . . 343 18.9 DARK ENERGY DRIVES THE REMOTE AND THE LOCAL UNIVERSE . . . . . 343 18.10 EARLY WORK AROUND FRACTAL DIMENSION ONE.... . 345 18.11 ... AND INTRIGUING ASPECTS OF FRACTAL DIMENSION TWO 345 18.12 THE FRACTAL STATE OF MANY GRAVITATING PARTICLES 347 18.13 COSMOLOGICAL QUESTIONS WITHIN QUANTUM FIELD GRAVITY . . ... . 350 18.14 THE COSMIC ARCHITECTURE OF COMPLEXITY 351 18.15 WHAT IS THE MESSAGE OF THE MEGAFRACTALS? : 353 18.16 THROUGH DEEPER OBSERVATIONS TO NOVEL PERSPECTIVES 355 APPENDIX A 359 A.I DEFINITION OF THE ASTRONOMICAL MAGNITUDE 359 A.2 THE MASS OF THE MILKY WAY . 359 A.3 A STANDARD CANDLE IN THE HUBBLE DIAGRAM 360 CONTENTS XV A.4 THE CLASSICAL ELECTRON AND GRAVITATIONAL RADIUSES . . R. . . . . 360 A.5 THE COSMOLOGICAL GRAVITATIONAL REDSHIFT 360 SUGGESTIONS FOR READING 361 INDEX . 363
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physical XXXI, 373 S. Ill.
publishDate 2002
publishDateSearch 2002
publishDateSort 2002
publisher World Scientific
record_format marc
spellingShingle Baryshev, Yurij
Discovery of cosmic fractals
Fractals gtt
Kosmologie gtt
Cosmology
Fractals
title Discovery of cosmic fractals
title_auth Discovery of cosmic fractals
title_exact_search Discovery of cosmic fractals
title_full Discovery of cosmic fractals Yurij Baryshev ; Pekka Teerikorpi
title_fullStr Discovery of cosmic fractals Yurij Baryshev ; Pekka Teerikorpi
title_full_unstemmed Discovery of cosmic fractals Yurij Baryshev ; Pekka Teerikorpi
title_short Discovery of cosmic fractals
title_sort discovery of cosmic fractals
topic Fractals gtt
Kosmologie gtt
Cosmology
Fractals
topic_facet Fractals
Kosmologie
Cosmology
url http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010269254&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
work_keys_str_mv AT baryshevyurij discoveryofcosmicfractals
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