Relational Ontology Framework for Turbulence: A Topological and Octonionic Reformulation of Fluid Dynamics

Proposes a paradigm shift in fluid dynamics, replacing classical turbulence models with a topological framework grounded in octonionic algebra. The Relational Ontology Framework (ROF) treats fluids as emergent networks of constraints in an 8D Primordial Relational Field, reduced to 7D via G2 symmetry. Key innovations: turbulence as topological phase transitions (H<0.707), associator-driven energy cascades, and universal scaling from microfluidics to hypersonics.

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2025-07-15
DOI
https://doi.org/10.5281/zenodo.16263014
Primary Topic
Algebraic and Geometric Analysis
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

Relational Ontology Framework for Turbulence: A Topological and Octonionic Reformulation of Fluid Dynamics

Zenodo (CERN European Organization for Nuclear Research)
Algebraic and Geometric Analysis
article

Relational Ontology Framework for Turbulence: A Topological and Octonionic Reformulation of Fluid Dynamics

article en

Abstract

Proposes a paradigm shift in fluid dynamics, replacing classical turbulence models with a topological framework grounded in octonionic algebra. The Relational Ontology Framework (ROF) treats fluids as emergent networks of constraints in an 8D Primordial Relational Field, reduced to 7D via G2 symmetry. Key innovations: turbulence as topological phase transitions (H<0.707), associator-driven energy cascades, and universal scaling from microfluidics to hypersonics.

Zenodo (CERN European Organization for Nuclear Research)
Affordable and clean energy
Openalex Percentile: Top 44%
Algebraic and Geometric Analysis
DOIOpen Access PDFOpenAlex
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.

Relational Ontology Framework for Turbulence: A Topological and Octonionic Reformulation of Fluid Dynamics · Zenodo (CERN European Organization for Nuclear Research) (2025) | TGRS Research Map | TGRS