Ontologically Founded Causal Sets: Constraints for a Future Physical Theory of Everything

Preprint

The paper is located on the border between physics, mathematics and philosophy (ontology). The latter is required to embed the dualistic by nature mathematics into a monistic metatheory. It is shown, that a consequent philosophical monism and an approach which starts from the origin of the universe imposes significant constraints on a physical Theory-of-Everything. This may be helpful for finding such a theory. A philosophical system that is monistic and at the same time structured clear enough to be compatible with mathematical thinking is the Hegelian dialectic logic. With the aid of this logic the necessary existence of a causal chain embedded in the general, unconditional and timeless being is proved constructively. In the causal chain our entire reality is coded. It is termed by Hegel as determinate being in contrast to being. The chain has a beginning, representing the birth of the universe (big bang) and the beginning of time. It is isomorphic to the natural numbers. The half-ring structure of the natural numbers induces a secondary causal network. Thus the ontological approach results in a special version of the theory or causal sets. The causal network is topologically homeo-morphic to an infinite dimensional Minkowski cone. Each prime number corresponds to a dimension. Hypothetical small 'bumps” of 4D spacetime (Brane) in the direction of the extra dimensions of the Minkowski manifold mean topological defects, which can be interpreted as curvature of spacetime. This means a bridge to the general theory of relativity. On the other hand, the bumps may be interpreted as objects with which one can handle similar to the strings in string theory.

Klassifikation und Themen

• Thema: Mathematik ; ontology ; causality ; cosmology ; general relativity ; string theory ; causal sets

Beteiligte, Orts- und Zeitangaben

• Ereignis: Geistige Schöpfung
• (wer): Blau, Winfried
• Ereignis: Veröffentlichung
• (wer): Winfried Blau

Weitere Informationen

• URN: urn:nbn:de:bsz:14-qucosa2-76009
• Letzte Aktualisierung: 14.03.2025, 08:16 MEZ