Abstract
Wave-particle duality is a familiar concept in the theories of the fundamental processes. We have, for example, electromagnetic waves with the photon as the corresponding particle, gravitational waves with the graviton as the corresponding particle, and Dirac waves with the electron as the corresponding particle. All these theories are stand-alone theories having nothing in common. The outstanding problem is a unified theory of particles and fields. In this paper, we discuss a unified geometrical theory of fields and particles.
Highlights
We have today a unified particle theory of fermions and a unified particle theory of force particles, i.e. a synthesis of gravitation, electromagnetism, weak and strong nuclear interactions into a single electro-gravinuclear force [1]
It is natural to seek for a unified theory of particles and fields
The only known resident in this space is the photon, a par ticle whose state is characterized by a pair of 4-operators [1]
Summary
We have today a unified particle theory of fermions and a unified particle theory of force particles (bosons), i.e. a synthesis of gravitation, electromagnetism, weak and strong nuclear interactions into a single electro-gravinuclear force [1]. The only known resident in this space is the photon, a par ticle whose state is characterized by a pair of 4-operators (pμ, Aμ) [1]. This space has no known material resident. It is reducible to a pair of irreducible 2-dimensional subspaces whose residents are fermions. A 4-tensor space of arbitrary order (n) is reducible to a number of 2-dimensional subspaces [1]. The 4-tensor space of rank one is reducible to a pair of irreducible subspaces of 1 and 3 dimensions. A force particle, the graviton is absolutely separated (remote) from us; its velocity relative to us must be vanished! its state is again characterized by (pμ, Aμ) subject to the constraint p=0
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