Nonstandard Ultra-logic-systems Applied to the GGU-model

This article develops and employs modern methods for mathematical modeling. In particular, the methods of nonstandard analysis are applied to general language logic-systems. This allows the operators for the only known mathematical cosmogony, the General Grand Unification Model (GGU-model), to more clearly exhibit their hyper-logical properties. All of the GGU-model entities and processes are predicted from observable entities and processes employed to construct physical entities. It is shown that, for each of the four cases for GGU-model interval construction and the four types of instruction paradigms Iq, there exists an ultra-word-likeX q x such that when the hyper-algorithm ∗A is applied to ( ∗S, {X x}) an ultra-logic-system Λ(x) is hyper-deduced. Application of the hyper-algorithm A to ( Λ(x), {y}) yields a hyperfinite instruction paradigm I x that contains Iq. The I q x is *-deduced in the required ≤ ∗Iq order. It is shown how a set of instruction paradigms {I} leads to the Patton and Wheeler required participator universe. The set of all ultra-propertons is defined and its properties examined. In this version, the set of all propertons that is sufficient for universe construction is properly established. Further, the GGU-model schemes are presented in diagram form. A refinement is introduced that leads, when applied, to the individual development of each universe-wide frozen-frame. An operator is shown to exist, which, via a substratum medium and processes, changes *instruction-information into a substratum info-field. From these, physical and physical-like systems are produced. 1. Logic-System Generation for Instructions As is customary, the nonstandard model M (Herrmann (1979-1993)) as used in all of the articles for The General Grand Unification Model (GGU-model) is a polysaturated enlargement (Lobe and Wolff, 2000; Stroyan and Bayod, 1986). In this paper, q = 1, 2, 3, 4. These numbers denote the four primitive-time intervals (Herrmann, 2006) employed for the GGU-model. The ultraword approach to generate a universe *Professor of Mathematics (Ret.), United States Naval Academy, Annapolis, MD, U.S.A.