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Pauli Exclusion Principle In A Seven Dimensional Space Of Vibrations

Posted by Roaring Lovely on November 2, 2015 at 4:36am
At the heart of the insight of quantum mechanics is to treat various frequency levels as directions in some strange space which they term it as Hilbert Space. The idea is that if nature recognises an Hilbert Space other than just the usual space, then it can easily treat waves as particles albeit inhabiting an Hilbert Space. So QM says that waves are also some strange particles. This means that though they spread everywhere, comingling with other waves, nature does not forget that the all waves belong to a single set, the particle! It does this because though the waves may spread in our world, they are on the same point in an Hilbert Space! To make the Hilbert Space realy similar to the usual space, we must have what coresponds to the common rule that we cannot fill the same region of space with two objects. This rule would be Pauli Exclusion Principle.A question that arises when we think that objects are infact waves is why they donnot simply interpenetrate each other. The rule that insures this is Pauli Exclusion Principle. This principle is thus of great importance as it explains solidity. A quantum state is a unique point in an Hilbert Space. When the principle states that no two fermions can occupy the same quantum state, it means the simple rule that no two objects can fill the same region of space. However, in the latter space, we have a total of seven dimensions, 4 for the usual space and 3 for the space of vibrations. The 3 axi forming the space of vibrations are the 3 levels of vibrations akin to the 3 primary colors that will form the rainbow. The whole of the 'rainbow' is the total of the space that the fermions inhabits.
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