Principia Orthogona · Complete Series

The
Mathematics21 papers. One operator chain. No trailing stops.

The same sequence — C → K → F → U — governs every generative transition in plasma confinement, biological morphogenesis, market structure, and number theory. The papers and the memecoins are separate projects.

Series Root DOI
doi.org/10.5281/zenodo.19117399
Principia Orthogona
21
papers in the series + engineering supplement
Engineering Supplement · Build Manual
Full engineering specification: dm³ axioms in computable form, Python/Julia/Lean 4 code, TikZ figures, Bridge 0 gap analysis. Zenodo DOI 10.5281/zenodo.19378742.
ES
The Collatz Conjecture as a Corollary of Crystal Geometry — Engineering Specification
doi.org/10.5281/zenodo.19378742 · dm³ axioms · G6 Crystal · AXLE Target 5 · Python · Julia · Lean 4
Read ↗ Zenodo ↗
Core Framework · Principia Orthogona
The foundational volumes establishing the operator chain C → K → F → U and its universal applicability.
03
Principia Orthogona, Volume I
zenodo.org/records/20320693
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21
Principia Orthogona, Volume I (V3)
zenodo.org/records/20298665
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20
Principia Orthogona, Volume II
zenodo.org/records/21148424
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16
Generative Contact Mechanics (Core Framework)
zenodo.org/records/20230610
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Operators & Mathematics
The dm³ operator, curvature thresholds, orbit theory, and the fold as formal mathematical objects.
07
The dm³ Operator: Explicit Toy Model
zenodo.org/records/20230624
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08
The dm³ Criticality Principle
zenodo.org/records/20230628
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04
Multi-Orbit Identity Theory
zenodo.org/records/20230614
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01
GTCT Ring 5 (Generative Time Circuit Theorem)
zenodo.org/records/20239928
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14
The Number 33: Stability Threshold
zenodo.org/records/20230625
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Crystal Geometry & Number Theory
The G6 crystal structure, Collatz as corollary, wavenumber stability, and n-Bonacci criticality.
05
The G6 Crystal
zenodo.org/records/20230611
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15
Collatz Conjecture as Corollary of Crystal Geometry
zenodo.org/records/20230621
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02
Wavenumber 6: Orthogenetic Stability Generator
zenodo.org/records/20230640
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12
Differential Nonlinear Robustness (Fibonacci vs Tribonacci)
zenodo.org/records/20230642
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13
Criticality Thresholds in n-Bonacci Media
zenodo.org/records/20230643
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Biology & Physics
Biological morphogenesis, connectome topology, autophagy, and plasma confinement — all running the same operator chain.
06
Biological Transitions as Multi-Agent Realisations
zenodo.org/records/20276671
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09
Polylaminin, Microtubules, and the k-nacci Spine
zenodo.org/records/20230633
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11
Fruit-Fly Connectome Toy Model (V2)
zenodo.org/records/20230617
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17
Self-Regulation: Autophagy and Triple-Alpha
zenodo.org/records/20168812
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Applied & Cross-Domain
From bridge topology to the Vitruvian approximation to lexical generativity — the framework applied beyond physics.
10
Bridges: The Malara Discovery
zenodo.org/records/20230644
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18
The Vitruvian Approximation
zenodo.org/records/19984522
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19
Lexical Generativity in English
zenodo.org/records/19513913
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Series       Principia Orthogona
Root DOI    doi.org/10.5281/zenodo.19117399
Papers      21 · spanning plasma, biology, geometry, markets, linguistics
Core claim  C → K → F → U governs all generative transitions
Market form compression → curvature → fold → unfold → new equilibrium