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ZENODO
Preprint . 2025
License: CC BY NC ND
Data sources: ZENODO
ZENODO
Preprint . 2025
License: CC BY NC ND
Data sources: Datacite
ZENODO
Preprint . 2025
License: CC BY NC ND
Data sources: Datacite
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Structure of Numbers -A New Perspective on Order, Resonance and Emergence

Authors: Karl Jochen, Heinz;

Structure of Numbers -A New Perspective on Order, Resonance and Emergence

Abstract

This paper presents a fundamentally new perspective on the nature of numbers, challenging the axiom-based foundations of classical mathematics. Instead of relying on set-theoretical constructs or Peano axioms, it proposes a dynamic, resonance-based approach rooted in structural emergence. Numbers are not treated as static entities or countable objects, but as relational nodes within a living, evolving field of tension and differentiation. Prime numbers, traditionally seen as mysterious and irregular, are reinterpreted as necessary structural events—gaps in an unfolding resonance pattern. The work offers no classical proof, but a logically coherent framework that invites a broader understanding of mathematics: not as a formal system, but as a refined perception of natural order. Philosophical references (e.g., Kant, Buber) support this epistemological shift. The document is aimed at those open to bridging mathematical structure with systemic, emergent thinking.

Keywords

Structural Emergence, Resonance Theory, Mathematical Intuition, Foundations of Mathematics, Number Theory, Axiomatic Critique, Philosophy of Mathematics, Epistemology, Alternative Mathematics, Systemic Thinking, Prime Numbers, Dynamic Structures

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average