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This Second Edition provides additional detail on the derivation of Cosmos Theory (and the Unified SuperStandard Theory) from the consideration of unassailable Mathematical truths expressed in n-forms, wedge operator products, and independent asymmetric tensors.
Gamma-matrices (both Dirac matrices and higher dimension gamma matrices) are derived from these constructs. Similarly the dimension arrays and the spaces of Cosmos Theory are also derived. Gamma-matrices and dimension arrays are very similar. Cosmos dimension arrays perform the same role for internal symmetries as gamma-matrices do for fermion spin.
Gamma-matrices have an internal structure based on a quadrupling of size as the dimension increases by increments of two. Dimension arrays also have a quadrupling of size as the dimension increases by increments of two.
For these reasons one might describe dimension arrays as the dimension-matrices of Internal Symmetries. Dimension-matrices are an integral part of the structure of Cosmos spaces. The impression of some that Cosmos Theory is merely an aggregate of features without a sufficient cause is removed. It now stands as forming the structure of fundamental fermions as much as gamma-matrices.
The spaces structure of Cosmos Theory is similar to that of the fractal Hilbert curve. An analogous fractal Cosmic Curve is generated with similar features.
The book presents a concise description of new and known Cosmos Theory feature details. For example the fractal Cosmic Curve supports a unique Language.
We now have a formulation of fundamental Physical theory ranging from Cosmos spaces through the experimentally known Standard Model of Elementary Particles.
A major leap in Physical understanding!
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This Second Edition provides additional detail on the derivation of Cosmos Theory (and the Unified SuperStandard Theory) from the consideration of unassailable Mathematical truths expressed in n-forms, wedge operator products, and independent asymmetric tensors.
Gamma-matrices (both Dirac matrices and higher dimension gamma matrices) are derived from these constructs. Similarly the dimension arrays and the spaces of Cosmos Theory are also derived. Gamma-matrices and dimension arrays are very similar. Cosmos dimension arrays perform the same role for internal symmetries as gamma-matrices do for fermion spin.
Gamma-matrices have an internal structure based on a quadrupling of size as the dimension increases by increments of two. Dimension arrays also have a quadrupling of size as the dimension increases by increments of two.
For these reasons one might describe dimension arrays as the dimension-matrices of Internal Symmetries. Dimension-matrices are an integral part of the structure of Cosmos spaces. The impression of some that Cosmos Theory is merely an aggregate of features without a sufficient cause is removed. It now stands as forming the structure of fundamental fermions as much as gamma-matrices.
The spaces structure of Cosmos Theory is similar to that of the fractal Hilbert curve. An analogous fractal Cosmic Curve is generated with similar features.
The book presents a concise description of new and known Cosmos Theory feature details. For example the fractal Cosmic Curve supports a unique Language.
We now have a formulation of fundamental Physical theory ranging from Cosmos spaces through the experimentally known Standard Model of Elementary Particles.
A major leap in Physical understanding!