Saturday, January 17, 2009

Existence Beyond Information

Existence Beyond Information

The immaterial basis for the representation of existence is nonexistence. There is nothing more immaterial than nonexistence. Nonexistence has no constraints, no boundaries, no dependencies on the existence of numbers, quantity, or dimension, and no dependence on an observer. It has absolutely no domain limitations. It cannot be destroyed. Instead of making mathematics isomorphic to the indirect representation of information and human communication, we need to make it isomorphic to the direct physical representation of existence. Instead of building a Von Neumann Universe from the transfinite recursion of empty sets via nested powersets to create the indirect mathematical universe of ordinals, we need to build a direct set theoretic representation of the universe itself based on transfinite recursion of the fundamental unit of existence. This requires that we redefine the axiomatic concept of set using an ontology isomorphic to that of existence.

The fundamental unit of existence is a quantized nilpotent symmetric difference in nonexistence. At the quantum scale, all matter and energy are quantized. All physical quanta exist fully or not at all. All quanta are created and destroyed instantaneously
[1]. At no time are they partly in existence and partly nonexistent. Quanta are the indivisible atomic units of existence. They cannot be subdivided. Quanta are universally, physically, existentially, and completely bivalent. They exist fully, or they do not exist at all. Quanta are also much more general than the answers to yes-or-no questions. As far as we know, everything in the Universe is composed of quanta and their relationships at the deepest level of existence. Thus, a representation based on the transfinite recursion of quanta and their relationships is well founded, complete, and not domain limited. Furthermore, quanta and their direct relationships avoid the need for an observer, they avoid the need to formulate or ask yes or no questions, they avoid the need to measure and interpret the answers to those questions, and they avoid the need to store the answers as bits. Therefore, they avoid the need for the universe to describe itself from the indirect perspective of an observer, and they avoid the consequent violation of causality that entails. Given all the facts above, it is clear that quanta and their relationships are the true basis for the bivalence of existence, not bits.

Existence is not based on the answers to true-or-false questions. It is based on the direct physical existence or nonexistence of quanta and their relationships. The quanta and the relationships between quanta are based on differences in nonexistence. The existence of symmetry, space-time, energy, all forces, and the evolution of the universe itself, are a consequence of the conservation of nonexistence. The conservation of nonexistence is more fundamental and more important in directing the ongoing construction and evolution of the universe than the conservation of energy. It is responsible for the existence of symmetry, all quanta, and all forms of energy, all forms of matter, and all relationships between quanta, energy, and matter.


[1] Creation and destruction occur within a Planck time.

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