Topological Geometrodynamics is able to make rather precise and often testable
predictions. In this and two other articles I want to describe the recent over
all view about the aspects of quantum TGD relevant for particle physics.
In the first chapter I concentrate the heuristic picture about TGD with
emphasis on particle physics.
1. First I represent briefly the basic ontology: the motivations for TGD
and the notion of many-sheeted space-time, the concept of zero energy
ontology, the identification of dark matter in terms of hierarchy of Planck
constant which now seems to follow as a prediction of quantum TGD,
the motivations for p-adic physics and its basic implications, and the
identi cation of space-time surfaces as generalized Feynman diagrams
and the basic implications of this identification.
2. Symmetries of quantum TGD are discussed. Besides the basic symmetries
of the imbedding space geometry allowing to geometrize standard
model quantum numbers and classical fields there are many other
symmetries. General Coordinate Invariance is especially powerful in
TGD framework allowing to realize quantum classical correspondence
and implies effective 2-dimensionality realizing strong form of holography.
Super-conformal symmetries of super string models generalize to
conformal symmetries of 3-D light-like 3-surfaces.
What GRT limit of TGD and Equivalence Principle mean in TGD framework
have are problems which found a solution only quite recently (2014).
GRT space-time is obtained by lumping together the sheets of many-sheeted
space-time to single piece of M4 provided by an effctive metric defined by the sum of Minkowski metric and the deviations of the induced
metrics of space-time sheets from Minkowski metric. Same description
applies to gauge potentials of gauge theory limit. Equivalence Principle
as expressed by Einstein's equations reflects Poincare invariance of TGD.
Super-conformal symmetries imply generalization of the space-time supersymmetry
in TGD framework consistent with the supersymmetries
of minimal supersymmetric variant of the standard model. Twistorial
approach to gauge theories has gradually become part of quantum TGD
and the natural generalization of the Yangian symmetry identi ed originally
as symmetry of N = 4 SYMs is postulated as basic symmetry of
quantum TGD......
Keywords: Many-sheeted space-time, zero energy ontology, dark
matter, hierachy of Planck constants, generalized Feynman diagrams,
general relativity, general coordinate invariance, Equivalence
Principle, electric-magnetic duality, physics as in nite-dimensional
geometry, physics as generalized number theory, p-adic physics,
classical number elds, Dirac equation, twistor.
