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SELF-ORGANIZED BREAKUP OF GONDWANA by JIM SEARS UNIVERSITY OF MONTANA MAIN CONCLUSIONS: BREAKUP OF GONDWANA WAS SELF-ORGANIZED TO MINIMIZE WORK ARGUES AGAINST DEEP MANTLE PLUMES. HEARD ISLAND HOT SPOT. THE DEEP MANTLE PLUME PARADIGM:
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SELF-ORGANIZED BREAKUP OF GONDWANA • by • JIM SEARS • UNIVERSITY OF MONTANA • MAIN CONCLUSIONS: • BREAKUP OF GONDWANA WAS SELF-ORGANIZED TO MINIMIZE WORK • ARGUES AGAINST DEEP MANTLE PLUMES HEARD ISLAND HOT SPOT
THE DEEP MANTLE PLUME PARADIGM: AN INTEGRAL PART OF PLATE TECTONICS SINCE J.T. WILSON (1963) AND W.J. MORGAN (1981)
STATIONARY HOT SPOT VOLCANOES: TAILS OF DEEP MANTLE PLUMES?
LARGE IGNEOUS PROVINCES (LIPS): HEADS OF DEEP MANTLE PLUMES?
PLUMES RANDOMLY GENERATED AT CORE-MANTLE BOUNDARY? • PLUME OUTBREAKS INITIATE CONTINENTAL BREAKUP?
INDIA GONDWANA AUST AF ANTARCTICA NZ SA
CAMP - FERNANDO ACCEPTED MODEL FOR GONDWANA BREAKUP LAWVER ET AL. 1999 1999 UTIG
KAROO-BOUVET 1999 UTIG
GALLODAI-MARION 1999 UTIG
PARANA-TRISTAN 1999 UTIG
RAJMAHAL-KERGUELEN BANBURY-HEARD 1999 UTIG
HOTSPOT CONSTELLATION 1999 UTIG
ARABIA INDIA AFRICA AUSTRALIA FLORIDA ANTARCTICA SOUTH AMERICA N Z HOWEVER, BREAKUP OF GONDWANA WAS NOT RANDOM - IT WAS HIGHLY SELF-ORGANIZED
ETHIOPIAN 38 Ma DECCAN 65 Ma RAJMAHAL 110 Ma CAMP 205 Ma MARANHAO 200 Ma GALLODAI 144 Ma PARANA 134 Ma KAROO 183 Ma TRANSKEI FERRAR 183 Ma LIMPOBO LARGE IGNEOUS PROVINCES
ST HELENA MARION CROZET KERGUELEN ASCENCION HEARD FERNANDO TRISTAN BOUVET GOUGH GONDWANA HOT SPOT FAMILY
GODAV ARI BENUE TRANSKEI TACUTU PERU-PARAGUAY DISCONTINUITY WEDELL THESE MAJOR GONDWANA FRACTURE POLYGONS RIGOROUSLY OBEY EULER’S THEOREM FOR CONVEX POLYTOPES
GONDWANA NAMELY, TO TILE A SPHERE WITH 12 + PLATES, 12 MUST HAVE 5-FOLD SYMMETRY AT PRECISELY-DEFINED VERTICES OF ICOSAHEDRON
GONDWANA REMAINING (N-12) PLATES HAVE 6-FOLD SYMMETRY
ICOSAHEDRAL ARRANGEMENTS Euler’s formula relating faces (F), vertices (V), and edges (E) of a convex polytope (F + V = E + 2)
ICOSAHEDRAL VIRUS HERPES SIMPLEX
FINITE ELEMENT SOLUTION FOR THOMSON PROBLEM WITH 912 CHARGES ON SPHERE (Altschuler et al., 1997)
GONDWANA EDGE LENGTHS AND CENTERS ARE RIGOROUSLY DEFINED EACH EDGE = 2600 KM AT EARTH SCALE
PENTAGON RIFT EDGES ~ 2600 KM 2600 KM 2600 KM 2600 KM
P GONDWANA H H H P H P H PENTAGONS AND HEXAGONS IN EXACT ARRANGEMENT
P GONDWANA H H H P H P H 16 EDGES, >20,000 KM
GONDWANA PATTERN MINIMIZES TOTAL FRACTURE LENGTH AND THEREFORE MINIMIZES WORK FUNCTION OF STRENGTH OF GONDWANA SHELL STRONGER GONDWANA WEAKER
GONDWANA PATTERN MINIMIZES TOTAL FRACTURE LENGTH AND THEREFORE MINIMIZES WORK FUNCTION OF STRENGTH OF GONDWANA SHELL STRONGER X GONDWANA WEAKER
LARGE IGNEOUS PROVINCES • ERUPTED DIACHRONOUSLY ALONG FRACTURE PATTERN • DEPENDED ON PLATE TECTONICS TO OPEN • FRACTURES TO INDUCE DECOMPRESSION MELTING
CONCORDANCE OF FAMILY OF HOT SPOTS WITH FRACTURE TESSELLATION • SHOWS HOT SPOTS ARE NON-RANDOM
YELLOW STRESS TESSELLATION IS DUAL OF FRACTURE TESSELLATION: THEY CROSS ONE ANOTHER ORTHOGONALLY HOTSPOTS ON TESSELLATION
HOOP STRESS ALONG NORTHERN GONDWANA MARGIN NOTE RADIAL FRACTURES AT MARGIN HOTSPOTS ON TESSELLATION
NOTE PERFECT SYMMETRY OF STRESS TESSELLATION ACROSS GONDWANA HOTSPOTS FAVOR CENTERS HOTSPOTS ON TESSELLATION EXPANSION OF GONDWANA LEADS TO FRACTURES
FRACTURE SYSTEM INDICATES GONDWANA WAS UNDER UNIFORM TENSION
NOTE SYMMETRY OF STRESS TESSELLATION ACROSS GONDWANA HOTSPOTS ON TESSELLATION
INITIAL GEOMETRY OF GONDWANA DETERMINED BEST ORIENTATION OF TESSELLATION TO ACHIEVE MINIMUM FRACTURE LENGTH • AND THEREFORE LEAST WORK
AFRICAN GEOID ANOMALY SYMMETRICAL TO FRACTURES WHEN GONDWANA IS RESTORED TO TRIASSIC POSITION HOTSPOTS ON TESSELLATION
GONDWANA SPREAD OUTWARD DOWN GEOID GRADIENT SEE ANDERSON, 1982 HOTSPOTS ON TESSELLATION
GONDWANA STALLED ON MANTLE FRAMEWORK • INSULATED UNDERLYING MANTLE • THERMAL EXPANSION OF MANTLE DROVE UPLIFT AND UNIFORM TENSION IN GONDWANA • FRACTURE TESSELLATION OCCURRED AT CLIMAX OF UPLIFT, IN EARLY TRIASSIC • FRACTURES LATER SEPARATED AS REQUIRED BY PLATE TECTONICS, DRIVING DECOMPRESSION MELTING