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ZENODO
Preprint . 2026
Data sources: ZENODO
ZENODO
Preprint . 2026
Data sources: Datacite
ZENODO
Preprint . 2026
Data sources: Datacite
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Challenge to Mainstream Physics: The First Dimension as Recursive Admissible Distinction

Authors: Allen, James Johan Sebastian;

Challenge to Mainstream Physics: The First Dimension as Recursive Admissible Distinction

Abstract

This paper audits one of the deepest inherited assumptions within mainstream physics: that dimensionality may begin as passive geometric extension. Pattern Field Theory (PFT) rejects the inherited mainstream first-dimensional primitive entirely. The work demonstrates that the inherited line already exposes:- identity,- interval,- polarity,- orientation,- recursive subdivision,- and coordinate generation. This means the inherited first-dimensional model already contains admissible distinction structures that passive-extension ontology cannot account for at origin. Rather than beginning from inherited dimensions, coordinates, or spacetime primitives, Pattern Field Theory begins from admissible distinction itself. The paper develops:- admissible distinction,- recursive admissibility,- coordinate identity generation,- dimensional discipline,- and the PFT separation of 2D relational transport from 1D depth freedom. The work further examines implications for inherited dimensional ontology, coordinate inheritance, continuum assumptions, and spacetime primitivism within mainstream theoretical physics.

Keywords

First Dimension, Ontology, Quantum physics, 2D + 1D, Geometry, Recursive Subdivision, Interval Structure, Algebraic geometry, Pattern Field Theory, Dimensional Ontology, Coordinate Identity, Mathematical physics, Mathematical logic, Foundations of Physics, Dimensional Discipline, Theoretical physics

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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
Green