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The Measurement Problem: Collapse of the Wavefunction

In quantum mechanics, the solutions to problems are found in the analysis of the wave particle duality of nature. Here particles that are so customary to the everyday person on the planet, are treated as waves. This solves the Schrodinger equation, DeBroglie relation, and the experiments of the double slit experiment. Interesting effects can be found by treating particles as waves and vice versa. What is interesting however, is the mixing and entangling of these wave states and the preparation of an assembly of states that are prepared in a quantum superposition. Here the particle-waves are superimposed over each other and represent multiple states. When observed, somehow the particles in cases that are unbiased, randomly choose one of their multiple states in a collapse of the wavefunction. So far, this process is amorphous. Collapse is caused by measurement or observation by a system. Observation in this case is not the human being, but it is rather the exchange of a fundamental SU(1) boson in the most simple case. Since each particle has an amplitude function from string theory, perhaps there is some method to the madness. Maybe the radian-atrix imparts a pseudorandom influence on the collapse of the state, its angles and occupied levels. Maybe the collapse and observation obey certain mechanisms determined by a present relation in the universe, a global operator or universal accounting mechanism that is encoded into the fabric of the cosmos. There are probes of collapse, the Aharonov-Bohm effect and quantum tunneling come to mind. In these two cases, particles instantaneously move through barriers to alter the state of quantum systems. What is happening is something not entirely known. If determinism is to win in this discussion, a system of variables must accompany the collapse to hold the variables (momentum, position, energy) of the incident and final state in the scattering problem. Of course, occupied state dynamics are governed by internal conversion and Fermi's golden rule but there is nothing to say that the occupied state could have, again, internal dynamics within the internal conversion. There is much to discover.




 
 
 

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