Four Dimensional Stock Market Structures and Cycles

The 1998 edition differs from the 1993 in that references were added and a few typographical errors were corrected. The reader will notice two reference types, “Technical References” are typically those of college or graduate level science or engineering. “References” require no technical background. A reference list is provided in the back.

Previous researchers of financial markets have uncovered pieces of the puzzle behind the nature of financial market activity. However, either they did not put all these pieces together, or they chose to not present their knowledge to the public. Because these researchers made contributions which must be acknowledged,

FOUR-DIMENSIONAL PRICE-TIME STRUCTURES

LESSON I - PRICE-TIME RADII VECTORS (PTV)

DEFINITION OF THE PRICE-TIME RADIUS VECTOR (PTV)

CALCULATION OF THE PTV

PTVs ROTATE AROUND A COMMON CENTER

PTV ANGLE DEFINES THE EXTENT AND DURATION OF A MOVE

PTV AND THE MUSICAL SCALE

PTVs CAN EXTEND FOR CENTURIES

PTVs CAN OVERLAP AND EXPERIENCE OFFSETS

LESSON II - THE ELLIPTICAL NATURE OF PRICE-TIME 

CHARACTERISTICS OF THE ELLIPSE

GRAPHICAL CONSTRUCTION OF THE ELLIPSE

EXAMPLES OF PRICE-TIME ACTION WITHIN THE ELLIPSE

ELLIPSE DEFINES ORIGIN AND TERMINUS OF PRICE-TIME CYCLES 

MAJOR AXES OF MATED ELLIPSES FORM EQUILATERAL TRIANGLES

ELLIPSES ARE CONTAINED WITHIN LARGER ELLIPSES 

LARGE SCALE ELLIPSES 

LESSON III - GROWTH PATTERNS

BACKGROUND REVIEW

FIBONACCI

GOLDEN SECTION

DYNAMIC SYMMETRY

FIVE YEAR CYCLE DEFINES THE SMALLEST COMPLETED GROWTH PATTERN

LESSON IV - PRICE-TIME RATIOS MORE IMPORTANT THAN FIBONACCI

 

A RATIO MUCH MORE IMPORTANT THAN FIBONACCI 

DJIA EXAMPLES OF THE SQUARE ROOT OF TWO RATIO

LONG-TERM STOCK MARKET EXAMPLES OF THE SQUARE ROOT OF TWO RATIO

THE MOST IMPORTANT NON-INTEGRAL RATIO IN STOCK MARKET ANALYSIS

DJIA EXAMPLES OF THE SQUARE ROOT OF FIVE RATIO

LONG-TERM STOCK MARKET EXAMPLES OF SQUARE ROOT OF FIVE RATIO

A THIRD RATIO MORE IMPORTANT THAN FIBONNACI

DJIA EXAMPLES OF PI (3.14) RATIO

LONG-TERM STOCK MARKET EXAMPLE OF THE PI RATIO

A FOURTH RATIO MORE IMPORTANT THAN FIBONNACI

LONG-TERM STOCK MARKET EXAMPLES OF ROOT THREE RATIO

LESSON V - GEOMETRIC STRUCTURES.

 

TWO-DIMENSIONAL GEOMETRY

DJIA EXAMPLES OF TWO-DIMENSIONAL DIVISION OF THE SQUARE

ADVANCED TOPICS IN DJIA EXAMPLES OF THE DIVISION OF THE SQUARE ........................................ 70

TWO-DIMENSIONAL SQUARE STRUCTURES IN THE DJIA (1899-1932) ...................................................... 70

TWO-DIMENSIONAL SQUARE STRUCTURES IN THE DJIA (1932-1987) ...................................................... 73

PENTAGONAL (FIVE-FOLD) SYMMETRY OF LIVING ORGANISMS............................................................ 75

DJIA EXAMPLES OF TWO-DIMENSIONAL PENTAGONAL SYMMETRY .................................................... 76

SUMMARY OF TWO-DIMENSIONAL STOCK MARKET STRUCTURES........................................................ 76

THREE-DIMENSIONAL GEOMETRY .................................................................................................................... 77

TETRAHEDRON......................................................................................................................................................... 78

TRIGONAL PYRAMID.............................................................................................................................................. 79

TRIGONAL BIPYRAMID (OCTAHEDRON) .......................................................................................................... 80

DJIA EXAMPLES OF TETRAHEDRAL STRUCTURES ....................................................................................... 81

GEOMETRIC STRUCTURES CONTAINED WITHIN CUBES............................................................................. 82

THREE-DIMENSIONAL PERSPECTIVE OF 1966-1982 SQUARE ...................................................................... 82

GEOMETRY OF ADJACENT CUBES...................................................................................................................... 83

THREE-DIMENSIONAL CUBIC STRUCTURE IN THE DJIA.............................................................................. 84

SUMMARY OF THREE-DIMENSIONAL STOCK MARKET STRUCTURES.................................................... 87

FOUR-DIMENSIONAL CUBIC STRUCTURES IN THE DJIA.............................................................................. 87

CURRENT FOUR-DIMENSIONAL CUBIC STRUCTURE OF THE DJIA........................................................... 90

GEOMETRY OF STACKED CUBES........................................................................................................................ 91

SIMILAR PATTERNS FORM ON CORRESPONDING FACES OF CUBES........................................................ 92

CHAOS THEORY AND FRACTALS IN THE STOCK MARKET......................................................................... 93

 

PART II FOUR-DIMENSIONAL PRICE-TIME CYCLES

INTRODUCTION TO PART II ........................................................................................................................................... 101

LESSON VI - SYMPATHETIC RESONANCE AND THE LAW OF VIBRATION...................................................... 102

INTRODUCTION...................................................................................................................................................... 102

SYNCHRONY............................................................................................................................................................ 103

MUSICAL SCALES .................................................................................................................................................. 103

NODAL POINTS ....................................................................................................................................................... 105

LESSON VII - CYCLES ....................................................................................................................................................... 112

INTRODUCTION....................................................................................................................................................... 112

BACKGROUND REVIEW........................................................................................................................................ 112

DJIA EXAMPLE OF APPLYING CONTEMPORARY CYCLE ANALYSIS....................................................... 113

PROBLEMS WITH CONTEMPORARY CYCLE ANALYSIS .............................................................................. 113

PATH OF PRICE-TIME WITHIN ELLIPSE DEFINES THE MOVING AVERAGE ........................................... 115

WHY PERIODICITY OF CYCLE TOPS AND BOTTOMS VARY....................................................................... 116

ENERGY LEVELS OF CYCLES .............................................................................................................................. 119

LESSON VIII - PLANETARY CYCLES............................................................................................................................. 122

INTRODUCTION....................................................................................................................................................... 122

BACKGROUND REVIEW........................................................................................................................................ 123

SUBDIVISIONS OF THE 3600 PLANETARY CYCLE .......................................................................................... 125

ANGLES BETWEEN THE PLANETS AND CORRESPONDING MUSICAL TONES....................................... 126

PLANETARY CYCLES AND THE FOUR-DIMENSIONAL STOCK MARKET................................................ 127

URANUS SIDEREAL CYCLE AND STOCK MARKET CORRELATION........................................... 128

SEVEN YEAR STOCK MARKET CYCLE ................................................................................ 128

SATURN-URANUS SYNODIC CYCLE AND STOCK MARKET CORRELATION........................... 137

HISTORICAL ANALYSIS OF SATURN-URANUS CYCLE (1896-1929).............................. 138

HISTORICAL ANALYSIS OF SATURN-URANUS CYCLE (1929-1937).............................. 140

HISTORICAL ANALYSIS OF SATURN-URANUS CYCLE (1949-1966).............................. 143

HISTORICAL ANALYSIS OF SATURN-URANUS CYCLE (1966-1982).............................. 143

HISTORICAL ANALYSIS OF SATURN-URANUS CYCLE (1981-1991).............................. 145

67-YEAR PERIODICITY AND SATURN-URANUS SYNODIC CYCLE............................... 147

45-YEAR PERIODICITY AND SATURN-URANUS SYNODIC CYCLE............................... 147

LONG-TERM HARMONICS AND STOCK MARKET TURNING POINTS.......................... 148

RESOLVING THE MYSTERY OF THE DISAPPEARING 52-MONTH CYCLE................... 148

SATURN SIDEREAL CYCLE AND STOCK MARKET CORRELATION ........................................... 150

JUPITER-SATURN SYNODIC CYCLE AND STOCK MARKET CORRELATION............................ 157

20-MONTH JUPITER-SATURN HARMONIC AND STOCK MARKET CYCLES ............................... 158

JUPITER-URANUS CYCLE AND STOCK MARKET CORRELATION .............................................. 161

MARS SIDEREAL CYCLE AND STOCK MARKET CORRELATION................................................ 164

OCTAVES (1/2; 1/4; 1/8) OF MARS CYCLE AND THE STOCK MARKET.......................................... 165

MUSICAL TWELFTH (1/3) OF MARS CYCLE AND THE STOCK MARKET..................................... 169

MARS TRINES IN DJIA (1/87-6/92) FORM HEBREW "STAR OF DAVID" ......................................... 173

VENUS SIDEREAL CYCLE AND STOCK MARKET CORRELATION.............................................. 173

12-WEEK MERCURY CYCLE AND STOCK MARKET CORRELATION.......................................... 178

DETERMINING THE STRONGEST PLANETARY HARMONICS WITHIN A TIME PERIOD ...................... 179

EXAMPLE PROJECTING PRICE-TIME TURNING POINTS USING PLANETARY CYCLES....................... 185

SUMMARY ............................................................................................................................................................... 188

LESSON IX - COMPOSITE CYCLES: PUTTING IT ALL TOGETHER ........................................................................ 192

INTRODUCTION....................................................................................................................................................... 192

CONTEMPORARY METHODS FOR CREATING COMPOSITE WAVES......................................................... 192

USING TRIANGLE WAVES AS SIMPLE COMPONENTS.................................................................................. 193

STOCK MARKET "BEATS" ..................................................................................................................................... 195

COMPOSITES OF MULTIPLE CYCLES ................................................................................................................ 195

CREATING THE REAL-LIFE COMPOSITE OF THE STOCK MARKET........................................................... 198

CHANGING ORBS OF INFLUENCE....................................................................................................................... 203

LESSON X - DIMENSIONAL ASPECTS OF TIME.......................................................................................................... 205

INTRODUCTION....................................................................................................................................................... 205

BACKGROUND REVIEW........................................................................................................................................ 205

TIME IS MOTION IN A HIGHER DIMENSION .................................................................................................... 206

FOUR-DIMENSIONAL PRICE-TIME ..................................................................................................................... 208

TIME CONTINUUM.................................................................................................................................................. 209

APPENDIX A - CRASH OF 1987 ANALYSIS OF RETRACEMENT RATIO................................................................ 210

APPENDIX B - EQUATIONS FOR DETRENDING MONTHLY STOCK MARKET DATA SINCE 1790................. 211

APPENDIX C - W.D. GANN'S ANNUAL FORECASTS.................................................................................................. 212

APPENDIX D - TWENTY YEAR PRESIDENTAL CYCLE............................................................................................. 214

APPENDIX E - FORMAT OF DATA AND TABLES USED IN THIS COURSE ........................................................... 216

FORMAT OF STOCK MARKET DATA.................................................................................................................. 216

FORMAT OF TABLES USED IN THIS COURSE.................................................................................................. 216

APPENDIX F - URANUS CYCLE AND THE PERIODICITY OF WAR IN THE UNITED STATES.......................... 218

APPENDIX G - SQUARE ROOT OF FIVE STOCK MARKET GROWTH SPIRALS................................................... 221

STOCK MARKET EXAMPLES OF THE SQUARE ROOT OF FIVE GROWTH SPIRAL................................. 222

IT IS THE AUTHOR'S INTENTION THROUGHOUT THIS COURSE TO GIVE CREDIT FOR ANY MATERIAL THAT HAS BEEN PREVIOUSLY PRESENTED BY ANOTHER AUTHOR.

Two books are provided with this course. The first book contains written text describing charts, contained in the second book. Two books allow the reader to have the charts and the descriptions in front of him at the same time without flipping forward and backward in the book looking for charts.

It is necessary for the reader to keep the chart under study in front of him. Without referencing the charts the written text will make little sense.

Even though the concepts presented in this course are not difficult, they will not be entirely understood with a single reading. It is such a new approach to market analysis that it takes a little practice to adjust thinking in such a way to fully comprehend what is presented.

It is recommended the reader pass over information he initially finds confusing. When rereading the course many things will be seen that were missed the first or second time

through.