Mathematics

The Fractal Framework describes reality through four interrelated ontological pillars: Information, Entanglement, Emergence and Scale Relativity.

The foundations of this ontological architecture have been developed philosophically. The next step is to investigate whether, and how, these foundations can be described within a mathematical structure.

This exploration does not begin with a preselected formula. It begins with the concepts themselves and with the question of which mathematical structures might be suitable for formally representing their meaning and interrelationships.

Each pillar will be examined separately. Subsequently, the relationships between the four pillars will be explored, along with the possibility of representing their interconnectedness within an overarching mathematical description.

Throughout this process, a distinction will be maintained between the ontological starting points of The Fractal Framework, the mathematical representations being investigated and the conclusions that can actually be drawn from the mathematical elaboration.

Not every proposed formulation will prove useful. Limitations, unresolved questions and rejected approaches therefore also form part of the research record.

The aim is not to force the ontological starting points into a formula in advance, but to investigate step by step which mathematical description is appropriate, what implications follow from it and where the limits of that description lie.

The mathematical exploration of The Fractal Framework is therefore an open-ended process of development. Its outcomes are not predetermined.

Mathematicians and/or physicists who would like to contribute to solving the mathematical puzzle of The Fractal Framework are most welcome.

The documents are available for download below.