1210.0448 (Tian Ma et al.)

Unified Field Equations Coupling Four Forces and Principle of
Interaction Dynamics    [PDF]

Tian Ma, Shouhong Wang

The main objective of this article is to postulate a principle of interaction dynamics (PID) and to derive unified field equations coupling all four forces. PID is a least action principle subject to div$_A$-free constraints for the variational element with $A$ being gauge fields. The unified field equations of the coupled interactions of four forces are then uniquely derived based on 1) the Einstein principle of general relativity (or Lorentz invariance) and the principle of equivalence, 2) the principle of gauge invariance, and 3) the PID. The unified model gives rise to a complete new mechanism for spontaneously breaking gauge-symmetries and for energy and mass generation, which provides similar outcomes as the Higgs mechanism. For the electromagnetic and weak interactions alone, we derive a totally different electroweak theory, producing the three vector bosons $W^\pm$ and $Z$, as well as three Higgs bosons--two charged and one neutral. One important outcome of the unified field equations is a natural duality between the interacting fields $(g, A, W^a, B^b)$, corresponding to graviton, photon, vector bosons $W^\pm$ and $Z$ and gluons, and the adjoint fields $(\Phi_\mu, \phi^0, \phi^a_W, \phi^b_B)$, which are bosonic fields. The interaction of the bosonic particle field $\Phi$ and graviton leads to a unified theory of dark matter and dark energy and explains the acceleration of expanding universe.

View original: http://arxiv.org/abs/1210.0448