In this chapter the key ideas behind Topological Geometrodynamics (TGD)
are introduced and an overall view about the structure of the book is given.
The observation that profoundly changed my life was that if space-time
is microscopically a 4-dimensional surface in certain 8-dimensional imbedding
space H, one can solve the "energy" problem of general relativity, which is due
to the fact that the notions of energy and momentum become ill-defined in
curved space-time since the corresponding symmetries are lost. The simple arguments fixing the choice of the imbedding space to be H = M4XCP2, that is
Cartesian product of Minkowski space of special relativity and complex projective
space of 2 complex dimensions, are described. Also the basic implications -
such as the notion of geometrization of known classical fields in terms of the induction
procedure, and the notion of many-sheeted space-time - are described.
The basic objections resolved by TGD view about classical fields and their
superposition are considered. The relationship of TGD space-time with the
space-time of general relativity understood as macroscopic phenomenological
concept is briefly depicted.
TGD leads to several generalizations of existing view about the ontology of
physics and these modi cations are described....
Keywords: Unified theories, gravitation, geometrization of physics,
space-time geometry, quantum gravity, Poincare invariance, imbedding
space, submanifold geometry, surface, induced metric, induction
procedure, geometrization of classical fields, spinor connection,
isometries, geometrization of quantum numbers, Kahler geometry,
infinite-dimensional geometry, spinor field, zero energy ontology, generalized Feynman diagram.
