Aspects of the MA-model

Robert A. Herrmann
Mathematics Department
U. S. Naval Academy
572 Holloway Rd.
Annapolis, MD 21402-5002


In some cases, this 1998 article refines event sequence construction as it's presented in my book "Science Declares Our Universe is Intelligently Designed. These are additional refinements and need not be used to alter the constructions that appear in this book. The models discussed here are often used for very special purposes. Notice that the standard "Big Bang" model could result from an ultimate maximum scenario.


The Metaphoric-Anamorphosis model (MA-model) is a direct logical consequence of the GGU-model solutions discussed in the monograph "Solutions to the `General Grand Unification Problem' and the questions `How did our universe come into being?' and Of what is empty space composed?' " The MA-model describes mathematically actual physical-like processes that produce "sudden alterations " or "sudden distortions" in Natural system behavior, or "sudden appearances" of a natural-system with a definite "beginning." The GGU-model describes many other possibilities including a possible cyclic or infinitely repeating natural-system, a system that may seem to have no "beginning." It also describes natural-system behavior with no "ending." Except by modifying and extending the last illustrated scenario, the GGU-model's description for such a cyclic natural-system cannot be illustrated properly, it can only be completely described operationally. Except for this cyclic case, at any particular "cosmic" (standard) time during the development of a Natural system, a significant event --- a time fracture --- can occur logically.

Recall that, in general, every event sequence is associated with ultranatural events that sustain and uphold the development. But basic developmental paradigms can be composed of standard frozen segments describing standard behavior or *-frozen segments that describe NSP-world behavior. Let T_B denote this moment. As discussed in the monograph, distinctly different event sequences can occur "prior" to T_B and "after" T_B. Generally these possibly different event sequences fall into various categories. Three such categories are identified as follows. The minimum scenario is a case where prior to T_B and after T_B the basic event sequences are described by a basic developmental paradigm composed of standard frozen segments. An intermediate scenario is one that has a basic developmental paradigm composed of standard frozen segments after time T_B as well as an empty or nonempty set of standard frozen segments, AND a nonempty set of *-frozen segments (partially readable or unreadable) prior to T_B. The maximum scenario is one that has a basic developmental paradigm composed of standard frozen segments after time T_B and an empty developmental paradigm (no event sequences) prior to T_B.

Although considerable inadequate as to proper comprehension, an attempt is made in what follows to represent pictorially, minimum intermediate and maximum scenarios. In order to simplify notation, the denoted ultralogic *S is the composition of the basic ultralogic with the hyperfinite ordered choice operator. The composition is still an ultralogical process.

Minimum Scenario

The white background is a small part of the NSP-world.

(1) The configuration U_1 can be partially described (i.e. comprehended) by entities within U_2 .

(2) The MA process takes place at standard substratum time T_B . The processes that change all aspects of U_1 into U_2 take place during the positive portion of a NSP-world time-monad about T_B.

(3) There exist ultranatural laws, ultranatural events, ultraobjects and an ultralogic that produces all of the alterations in an ultrasmooth manner. At least, the ultranatural laws and ultranatural events cannot be described in a human language. The ultralogic process cannot be replicated in the Natural-worlds U_1 or U_2 .

(4) The Natural-world laws in U_2 produced through the MA process are distinctly different from those that apply to U_1 . All aspects of the U_2 universe conform to these "new" Natural-laws. This includes radiation-paths, particle-paths and the like.

(5) After the N-world time suspension, the universe U_2 begins its development under the U_2 Natural-laws without any memory of the U_1 configuration.

An Intermediate Scenario

(1) The configuration U_1 cannot even be partially comprehended by entities within U_2.

(2) The MA process takes place at standard substratum time T_B . The processes that change all aspects of U_1 into U_2 take place during the positive portion of a NSP-world time-monad about T_B.

(3) There exist ultranatural laws, ultranatural events, ultraobjects and an ultralogic that produces all of the alterations in an ultrasmooth manner. At least, the ultranatural laws and ultranatural events cannot be described in a human language. The ultralogic process cannot be replicated in the Natural-worlds U_1 or U_2 .

(4) The Natural-world laws in U_2 produced through the MA process are distinctly different from those that apply to U_1 . All aspects of the U_2 universe conform to these "new" Natural-laws. This includes radiation-paths, particle-paths and the like.

(5) After the N-world time suspension, the universe U_2 begins its development under the U_2 Natural-laws without any memory of the U_1 configuration.

The Ultimate Maximum Scenario

(1) No U_1 configuration exists prior to time T_B .

(2) The ultraword w is the "building plans" for U_2. This includes the Natural-laws that will produce the development.

(3) When NSP-world initial conditions that are "incomprehensible" to entities in the to-be-formed U_2 occur, the ultralogic operator *S is applied to w and, during the positive part of a time monad about T_B, the universe U_2 is formed.

(4) There exist ultranatural laws, ultranatural events, ultraobjects and an ultralogic *S that produces U_2 in an ultrasmooth manner. At least, the ultranatural laws and ultranatural events cannot be comprehended by any entity in the to-be-formed U_2 . The ultralogic process *S cannot be replicated by any entity within the to-be-formed Natural-world U_2 .

(5) After the NSP-world construction, the universe U_2 begins its development under the U_2 Natural-laws without any memory of the construction processes.

More Aspects of the MA-model

Repeat each of the previous pages with U_1 and U_2 replaced by the concept of a subsystem within the Natural-world in which we dwell.

Combined Scenario

(1) This is a page four type developmental paradigm but producing a universe at time T_A prior to T_B .

(2) The ultraword w is the "building plans" for U_1. This includes the Natural-laws that will produce the development.

(3) When NSP-world initial conditions that are "incomprehensible" to entities in the to-be-formed U_1 occur, the ultralogic operator *S is applied to w and, during the positive part of a time monad about T_A, the universe U_1 is formed.

(4) There exist ultranatural laws, ultranatural events, ultraobjects and an ultralogic *S that produces U_1 in an ultrasmooth manner. At least, the ultranatural laws and ultranatural events cannot be comprehended by any entity in the to-be-formed U_1 . The ultralogic process *S cannot be replicated by any entity within the to-be-formed Natural-world U_1 .

(5) After the NSP-world construction, the universe U_2 begins its development under the U_1 [resp. ultra] natural-laws without any memory of the construction processes.

More Aspects of the MA-model

(1) This is how natural subsystems [i.e. subnatural systems] are constructed and controlled from the NSP-world viewpoint.

(2) A subnatural system can be altered at any time T_C.


(Revised 4/25/98)

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