Exchanging Forces at the Planck Regime

A new approach to unifying the fundamental forces is developed. In continue the unification problem is viewed as inversion of geometrical separation of fundamental forces. Both the quantum mechanical and the quantum gravitational uncertainties are employed to calculate the range of exchange forces. It is shown that there is a new unification of fundamental forces in the Planck regime. It is interesting that the range of the unified force is received a new correction. It is believed that the unification of fundamental forces may accurse at the Planck regime. In this scenario, at the Planck energy, all four fundamental forces unifies to a one force. However this picture of unification may be an incomplete picture because in this scenario, our focus is related to the energy analysis only. In this letter we have developed a theory related to the unification focusing on the effective range of forces. In the other word the geometrical analysis of exchange forces in the Planck regime is considered. Quantum field theory explains the exchange of energy during the interactions via the force carriers, called bosons. The mechanism is based on the emitting of the virtual particles, particles that have no reality except to push or pull matter with the exchange of momentum. All fundamental forces are involving the exchange of one or more particles. For example the underlying color force which is presumed to hold the quarks together to make up the range of observed particles, is involve an exchange of particles labeled by gluons. Such exchange force may be either attractive or repulsive, but is limited in the range by the nature of exchange force that is constrained by the uncertainty principle. The separation of fundamental forces in the early universe may be related to the separation of exchanging range of virtual particles based on the spontaneous symmetry breaking mechanism (1,2,3,4,5). Alternatively, this may be viewed as a mechanism to separation of fundamental forces. For example the range of color force is the shortest range and the range of gravity is the longer range. But in the early universe or in a very high energy probe there is unification between fundamental forces. To obtain a complete picture of the range of exchange forces in a high-energy probe, it is important to consider both the quantum mechanical and quantum gravitational effects, by imposing the minimal length uncertainty relation. The problem is related to computing the range of exchange forces based on the minimal length uncertainty. Let us begin with the minimal length uncertainty relation. An exciting quantum mechanical implication of the microphysics space is a modification to the usual space time uncertainty as (6,7,8), ' p