Abstract
Development of Theory Of Everything (TOE) has a fundamental issue of baggage which is understood as a set of notions and assumptions underlying a theory. TOE should at best be baggage-free but this is problematic with theories based on algorithmic representations. We show how uncomputability may provide a new conceptual framework for the TOE without baggage. Special uncomputable sequences are introduced and it is shown how a looped self-referential system of symbols from sequences and sequences from symbols is formed. Properties of this system are analyzed emphasizing symmetry requiring operation of infinite permutation groups. It is shown how mathematical structures emerge and how it is possible to tackle nothingness and its relation to uncomputability. Our development points that TOE is a special mathematical structure arising from the uncomputable substrate intrinsically tied with nothingness and dissolving symmetry of this structure results in physics. This indicates that uncomputability forms ultimate foundation of physics enabling to answer deepest questions about the Universe.
Irek Defee