a. the mother of all current types of „elementary particles“, which is an „a priori“ existing „electron“ as pre-requisite of Dirac‘s theory of radiation, (*) b. the space-time „geometry“ of the GRT modelled as a pair (M,g), where M is a 3+1-dimensional manifold and g is just a metric on M, (**).
In other words, (M,g) has no geometric structure all all. The proposed integrated Hilbert scale based model provide a common quantum element Hilbert space H(-1/2) accompanied by a related quantum energy Hilbert space H(1/2) providing a common (inner product based) metric/norm. The quantum energy Hilbert space can be decomposed into a kinematical compactly and densely embedded sub-Hilbert space H(1) and an orthogonal " ether" energy
closed sub-space of H(1/2).For a conceptual design overview we refer to the section "UFT & MHD". (*) (FeE): „Dirac‘s theory of radiation
is based on a very simple idea; instead of considering an atom and the
radiation field with which it interacts as two distinct systems, he treats them
as a single system whose energy is the sum of three terms: one representing the
energy of the atom, a second representating the electromagnetic energy of the
radiation field, and a small term representing the coupling energy of the atom
and the radiation field.“
(**) (ChD): The Einstein
metric g on M is a nondegenerated, 2-covariant tensor field with the property
that at each point one can choose 3+1 vectors e(1),e(2),e(3),e(4) such that
g(e(a),e(b))=E(a,b); a,b=0,1,2,3, where E(a,b) is the diagonal matrix with
entries -1,1,1,1.
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