Publisher's Synopsis
This book presents important new aspects of Cosmos Theory. It starts with a comparison of a Top Down approach to Cosmos Theory and a Bottom Up approach to Cosmos Theory.
The bottom up derivation begins with the relation of Minkowski space to the Spin Group su(2, 2). It leads directly to the basis of Cosmos Theory in fermion spin states of spaces of various dimensions. Since the number of spin states for any space-time is a power of 2 we are led to the form of the 10 HyperCosmos and 10 Second Kind HyperCosmos spaces that similarly use powers of two.
We chose to create a UniDimension ProtoCosmos that generates the Geometric spectrum of these spaces in analogy to the Hydrogen atom. We generalize this atom to have a fermion wave function factor in analogy to angular momentum in the Hydrogen atom.
We define s new type of fermion wave function for two purposes: one purpose was to define a universe for the ProtoCosmos; the other purpose was to define a universe for each HyperCosmos and Second Kind HyperCosmos space. This requirement led to our development of Independent PseudoFermion (IPF) wave functions - a generalization of the PseudoFermion wave functions that we introduced in the preceding book.
An IPF wave function has independent dimension arrays for the parent and child spaces. Thus the child space has a separate dimension array with which it can create a universe of symmetries and particles.
These developments led to the following topics in the book:
1. A su(1, 1) derivation of the structure of symmetries and particles in the Fundamental Reference Frames (FRFs).
2. A detailed analysis of FRF contents for each type of space and the General Relativistic transformations to the dimension arrays of universes.
3. A complete description of the Unified SuperStandard Theory (UST) for our universe.
4. A detailed description of the set of UST interactions including The Generation Group, Layer Group, Connection Groups, and the Strong and ElectroWeak interactions. Also a 4 by 4 Cabibbo-Kobayashi-Maskawa Matrix discussion.
5. A detailed description of the generation of hierarchies of universes: child, sibling, grandchildren and so on. The possibility of a network of universes is also treated.
6. There is a possibility of a zero space-time dimension Second Kind HyperCosmos space supporting a sea of miniverses within our universe. These miniverses could comprise Dark Matter. They may be anyon "particles." They would only have gravity interactions - agreeing with current experiment.
7. Possible experimental data for the existence of other universes is considered.
8. A model of Hubble expansion of our universe is defined. We call it the HubbaHubble model. It has an interesting Hubble parameter Big Dip that is mathematically required by current experimental data.
9. Fibonacci and Ramsey numbers are considered from a Cosmos Theory perspective.
