M-theory vs. Logic of Existence: Three Dimensions of "Logic" — Mathematical Coherence, Axioms, and Falsifiability

M-theory vs. Logic of Existence: Three Dimensions of "Logic" — Mathematical Coherence, Axioms, and Falsifiability

Creators

• Sawa, Krzysztof

Description:

This comparative analytical report, “M-theory vs. Logic of Existence: Three Dimensions of Logic — Mathematical Coherence, Axioms, and Falsifiability”, explores the conceptual and methodological differences between M-theory and the Logic of Existence (LoE) framework.

It examines “anchoring in logic” through three lenses:

1. Mathematical coherence – the internal structural consistency of a theory.

2. Axiomatic rigor – the clarity and minimality of its foundational postulates.

3. Empirical falsifiability – the capacity for real-world validation or rejection.

M-theory, the archetype of structural unification, excels in mathematical beauty yet remains empirically elusive due to the vast landscape of compactifications and lack of observable supersymmetry.

By contrast, LoE adopts a relational ontology and a variational principle (δI = 0) to describe reality as the dynamic balance between informational chaos and order. It introduces an explicit falsification parameter , linking theoretical deviations to measurable astrophysical signatures — from black-hole ringdown shifts and gravitational-wave echoes to interstellar desynchronization anomalies.

The report concludes that M-theory represents the logic of structure, while LoE embodies the logic of process — two complementary paths toward understanding the architecture of existence.