Research Atlas — Fieldflux Biosystems

Conceptual map

The questions are the stable nodes.

These themes remain legible even as the number of papers and notes grows from dozens to hundreds.

Health & foundations

What health is, what makes a system itself, and what must be preserved across scale.

3 current works 02

Invariance & identity

What remains the same through change, quotient, transformation, or representation.

18 current works 03

Boundary & measurement

How boundary exchange becomes observable, reconstructable, and physically meaningful.

11 current works 04

Formalization & proof

Machine-checkable structure, admissibility, closure, gauge structure, and proof authority.

17 current works 05

Evidence & validation

Failure tests, controls, calibration, empirical support, and the boundary of warranted claim.

9 current works 06

Relational organization

Relations, multiplicity, compression, comparability, ownership, and organization across states.

8 current works 07

Continuation & stability

Persistence, regularity, restart, dynamic stability, and the anatomy of breakdown.

6 current works 08

Representation & reconstruction

What descriptions retain, discard, reconstruct, or obstruct when states move between representations.

18 current works

Active series

Technical programs have their own landing pages.

Each series page carries the narrative, sequence, status, and future horizon of that program. The publication archive stays compact because the series pages own the story.

Fluid dynamics

Navier–Stokes Continuation

Continuation geometry, regularity escape, spectral transfer, and endpoint rigidity.

Current published sequence: 3 papers 02

Quantum gravity

Schwarzschild Quantum Gravity

A self-consistent Einstein–real-scalar quantum sector from operator selection through BV/BRST, regulated quantization, and relational gravity.

Current published sequence: 8 papers 03

Mathematical physics

Gaussian Physical States and Celestial Representation

An ongoing series studying how physical information survives successive changes of mathematical representation, from constrained Gaussian gauge-field states through radiative multiparticle structure, source-aware celestial decomposition, and the further spectral and dynamical questions opened by those constructions.

Papers I–VI published · further papers in development 04

Systems biology

Relational / Systems Biology

Relational state, fate, comparability, developmental organization, and morphogenetic direction across biological carriers.

Ongoing series

Curated routes

The corpus has more than one beginning.

A route can cross a field note, a founder reflection, and several technical papers without claiming that one domain proves another.

What can remain invariant across scale or representation?

A cross-domain route from the health question into biological comparability and source-aware representation.

The Question Behind Our Researchnotebook
Fixednessnotebook
Relational Organization and Directional Stability Across Mouse Organogenesispreprint
Gaussian Pair Geometry and Physical Radiative Responsepreprint
Source-Aware Weyl-Reduced Celestial Representationpreprint
The Physical Celestial Clebsch–Gordan Transform of a Radiative Bose Pairpreprint

How does a boundary become a warranted measurement?

From the boundary primitive through observability, certification, reconstruction, and deliberate failure.

The boundary comes firstnotebook
Reading the living boundarynotebook
The making of an observablenotebook
A boundary-observable certification algebranotebook
Residue and residualnotebook
How we try to make the signal failnotebook

Where does identity live when relations carry the information?

A route through relational measurement, cell fate, developmental organization, and quantum ownership.

What does persistence look like near breakdown?

The fixedness question specialized into the Navier–Stokes continuation program.

Fixednessnotebook
Continuation Anatomy of Periodic Navier–Stokes Breakdownpreprint
Critical Regularity Anatomy of Periodic Navier–Stokes Breakdownpreprint
Endpoint Rigidity in Periodic Navier–Stokes Flowpreprint

What survives as a physical state changes representation?

The Gaussian series from current-zero completion to radiative and celestial representation.

How does a quantum sector own its dynamics, gauge structure, and geometry?

The Schwarzschild program from self-consistent matter into master-action ownership, BRST, quantum obstruction, and relational gravity.

Relational architecture

The full graph lives in the catalog; the site shows useful projections.

research/catalog.json retains all research objects, themes, series, typed relations, and curated routes. Publications and Notebook are scalable archives. Individual works expose a small local neighborhood. The Atlas remains a durable map of the program instead of becoming a 200-node diagram.

Browse publications Browse notebook Open catalog

A map of the program, not a map of every file.