Theory of Everything - View Single Post

AntonioLao · 09-09-2005, 02:15 PM

In two dimensions, there are two axes. In three dimensions, there are three axes. All these axes can be orthogonal (90º). These orthogonalities are visualizable for only 2 and 3 dimensions. Mathematical abstractions claim to have the capability of describing orthogonality in higher dimensions, for examples, Minkowsky's spacetime orthogonality and quantum mechanics orthogonalities of eigenvectors.

It is obvious that each axis can be split into a positive and a negative axis given a point of origin or a common end point of the two separated axes as the intersection of these axes (positiveness and negativeness do not apply until these axes are 180º and oriented in opposite directions). However, it is only mathematical. Physically, it is very hard to conceptualize the existence of negative length, negative time, negative volume, and negative mass and negative energy. But all these negativities are only concern for the absolute scalar values. It is admissible that all absolute quantities must be positive (absolute values really do not have the attributes of being positive or negative), it is because absolute values have no directional attribute. With directional attributes, a quantity can have positive and negative properties. In regard to axes of symmetry, it is possible to have (+/-) attributes if and only if a directional property is also implied.

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AntonioLao Raider of the lost time Status: Offline Posts: 5,274 Thanks Given: 714 Thanked 121x in 119 Posts Join Date: Nov 2003 Rep Power: 73	09-09-2005, 02:15 PM In two dimensions, there are two axes. In three dimensions, there are three axes. All these axes can be orthogonal (90º). These orthogonalities are visualizable for only 2 and 3 dimensions. Mathematical abstractions claim to have the capability of describing orthogonality in higher dimensions, for examples, Minkowsky's spacetime orthogonality and quantum mechanics orthogonalities of eigenvectors. It is obvious that each axis can be split into a positive and a negative axis given a point of origin or a common end point of the two separated axes as the intersection of these axes (positiveness and negativeness do not apply until these axes are 180º and oriented in opposite directions). However, it is only mathematical. Physically, it is very hard to conceptualize the existence of negative length, negative time, negative volume, and negative mass and negative energy. But all these negativities are only concern for the absolute scalar values. It is admissible that all absolute quantities must be positive (absolute values really do not have the attributes of being positive or negative), it is because absolute values have no directional attribute. With directional attributes, a quantity can have positive and negative properties. In regard to axes of symmetry, it is possible to have (+/-) attributes if and only if a directional property is also implied.