Minimal Length Uncertainty and Exchanging Forces

2012 
2 Abstract: A geometrical analysis of exchanging forces is reported based on the minimal length uncertainty. It is shown that the range of exchanging forces receives a new correction. It is believed that the unification of fundamental the problem is related to compute the range of exchange forces may accurse at the Planck regime. In this scenario, forces based on the minimal length uncertainty. at the Planck energy, all four fundamental forces unifies to In the particle physics, by using high energy probes, one. However, this picture of unification may be it could be possible to measure the location of a particle incomplete. In this paper, a geometrical analysis of precisely and minimize the localization uncertainty. Since exchanging forces is reported based on the minimal length gravity couples to the energy-momentum tensor, the high uncertainty. It is shown that the range of exchanging energy probe would generate the large fluctuations on the forces receives a new correction. Quantum field theory metric. Because the situation of this probe is quantum explains the exchange of energy during the interactions mechanically, the metric fluctuations are indeterminable via the force carriers, called bosons. The mechanism is components. Thus, there exist a limitation to precise the based on the emitting of the virtual particles, particles that localization; this is named generalized uncertainty have no reality except to push or pull matter with the principle. The heuristic derivations of generalized exchange of momentum. All fundamental forces are uncertainty principle are made in the black hole physics, involving the exchange of one or more particles. For microphysics, quantum mechanics and other area of example the underlying color force which is presumed to physics (7-16). hold the quarks together to make up the range of observed particles, is involve an exchange of particles (1) labeled by gluons. Such exchange force may be either attractive or repulsive, but is limited in the range by the Where is the Planck length. Dividing both side of nature of exchange force that is constrained by the uncertainty principle (1-6). Separation of Fundamental Forces: The separation of fundamental forces in the early universe may be related to the geometrical separation of exchanging range of virtual particles based on the spontaneous symmetry breaking mechanism. Alternatively, this may be viewed as the mechanism of 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
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