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This Concept Map, created with IHMC CmapTools, has information related to: M^8-H duality.cmap, co-associative/ co-quaternionic context which is nice since both associativity and co-associativity are needed in TGD., M^8-H DUALITY involves also commutativity and co-commutavity. Commutative and co-commutative 2- surfaces or space- time surface in X^4 subset M^8 would correspond to string world sheets and par- tonic 2-surfaces in x4 subset H emerg- ing naturally from well-definedness of em charge for the mo- des of Kähler-Dirac action and from strong form of holography., M^8-H DUALITY requires understanding of basic notions behind it, if one has an associative/ quaternionic 4-surface X^4 in O=M^8 one can map it it to a surface of M^4xCP_2, M^8-H DUALITY derives from E^8-H duality for 4-D surfaces of octonionic space O, map it it to a surface of M^4xCP_2 by assigning to a point M_1 of X^4 subset M^8 a point (m_1,s) of M^4xCP_2, the image of associative surface of M^8 is associative surface in H (this need not be true), that the image of associative surface of H mapped to H in similar manner is also associative. One would have also H-H duality. This map could be itera- ted to give infinite number of preferred extremals. Associative surfaces would form a category,, M^8-H DUALITY inspires the conjectures that the image of associative surface of M^8 is associative surface in H (this need not be true),, the image of associative surface of H mapped to H in similar manner is also associative. One would have also H-H duality. This map could be itera- ted to give infinite number of preferred extremals. Associative surfaces would form a category, and that associative and co-associative surfaces are preferred extremals of Kähler action., map it it to a surface of E^4xCP_2 by assigning to a point (e_1,e_2) of X^4 subset E^4xE^4 a point (e_1,s) of E^4xCP_2, where s is the point of CP_2 characterizing the 4- tangent plane of X^4 at (e_1,e_2), a point M_1 of X^4 subset M^8 a point (m_1,s) of M^4xCP_2 where s is the point of CP_2 characterizing the 4- tangent plane of X^4 at M_1., replacing octonions O with complexified octonions having interpretation as complexified Minkowski space M^8_c and states that if one has an associative/ quaternionic 4-surface X^4 in O=M^8, M^8-H DUALITY generalizes to co-associative/ co-quaternionic context, a point M_1 of X^4 subset M^8 a point (m_1,s) of M^4xCP_2 where m_1 is projection of M_1 to the tan- gent space M^4 M^4 subset M^8 of X^4. This makes the map unique., E^8-H duality for 4-D surfaces of octonionic space O stating that if one has an associative/ quaternionic 4-surface X^4 in O=E^4xE^4,, if one has an associative/ quaternionic 4-surface X^4 in O=E^4xE^4, one can map it it to a surface of E^4xCP_2, M^8-H DUALITY is obtained by replacing octonions O with complexified octonions having interpretation as complexified Minkowski space M^8_c
