Research · formal papers

One claim about relation, and what follows from it.

These papers start from a single claim — to be is to stand in relation and to cohere in it, with no time, cause, rule, or observer added — and work out what that forces. From it the set recovers the invariance of light speed, a reading of relativity, the Born rule, and accounts of frames, minds, and reachable futures. The claim is the arrangement, not the parts: the components are established science, cited as such.

They are drafts, circulated for comment rather than as finished results. Each paper states what it claims, what earns it, and what would falsify it — the falsifiability sections are the intended points of attack. Definitions and numbering may change between drafts, so cite the draft string (draft-2026-09-06.1) when referring to one.

Where to start

There are two ways in, depending on what you want.

For the narrative. The short papers build the momentum that carries you into the main theory. Is settles the one premise — that relation is the core — and the Physics Grounding shows the premise doing real work: light speed, relativity, and the Born rule as results rather than postulates. Read those and The Law — Theory arrives as the thing they were drawing on.

Straight to the argument. If you already grant that relation is the core — the single claim Is makes — you do not need Is or the groundings first. Go directly to The Law — Theory; it states its own dependencies, and the groundings are there when you want to see the claim tested against a specific field.

Came for one specific result? Every paper states its own dependencies; go straight to it. The full set is below, grouped by thread.

If you are using an LLM, or you are an LLM, use this

There is a single plain-text entry point built for machine reading: graphic-equalisation-for-llms.md. Hand that URL to a language model to give it a compact, faithful operating model of the theory; it links a markdown rendering of every paper below so the model can open a source before asserting a result. Many people will meet this work through a model, and this is the front door for that.

The claim

One sentence, argued with no machinery: what it commits to, and what it does not.
Start here

Is

Relation Without Time, Cause, or Rule
Theory

One claim, made without machinery. To be is to stand in relation and to cohere in it, and nothing further is required for there to be anything at all — no sequence, no…

16 pagesr128 Read PDF

The Law of Graphic Equalisation

The recursive dynamics that follow from the claim. One Theory paper states the law; the Grounding papers test it against physics, cosmology, mind, communication, and consciousness. The Statement is a condensed restatement of the Theory.
Start here

The Law of Graphic Equalisation — Theory

Minimal Recursive Dynamics, Collapse, Frame-Relative Identity, and Residual
Theory

This paper proposes that one minimal structure underlies phenomena usually studied apart — physical, cognitive, and institutional — and that the case for it rests not on…

77 pagesr289 Read PDF
Start here

The Law of Graphic Equalisation — Physics Grounding

Change, c, the Reconciliation of Special and General Relativity, the Recovery of the Born Rule, the Dimensional Constants, and the Second Law
Grounding

This companion to Graphic Equalisation develops the physics groundings of the change-substrate.

32 pagesr45 Read PDF

The Law of Graphic Equalisation — Mind and Self Grounding

Frames, the Run and the Record, Free Will, Self-Models, Personal Identity, and Death
Grounding

This companion to Graphic Equalisation develops the mind-and-self groundings of the change-substrate.

32 pagesr42 Read PDF

Graphic Equalisation — Cosmology Grounding

Horizons, Measures, and What Has No Outside
Grounding

This companion develops the cosmological groundings of the substrate, and its work is mostly negative in a specific and useful way: it identifies which cosmological…

7 pagesr10 Read PDF

The Law of Graphic Equalisation — Born Recovery

An Axiom-by-Axiom Note
Grounding

This note checks, one axiom at a time, whether the change-substrate of Graphic Equalisation supplies the operational axioms from which the informational reconstructions…

8 pagesr4 Read PDF

The Law of Graphic Equalisation — Communication Grounding

Difference Across Frames, Kinetic Contact, Records, and Network Frames
Grounding

Communication is usually split too early: physical influence is put on one side, signals and language on another, and the latter is made to depend on a human speaker, a…

18 pagesr5 Read PDF

The Law of Graphic Equalisation — Qualia and Consciousness Grounding

Qualia-Space, Aperture, and the Ill-Posed Hard Problem
Grounding

The hard problem of consciousness is usually stated as a demand to derive a subjective, felt quality from an objective physical or functional structure.

21 pagesr2 Read PDF

The Law of Graphic Equalisation

Statement
Condensed

A condensed restatement of The Law of Graphic Equalisation — Theory — the same paper cut down to its claims, not a separate result.

One minimal structure is proposed as underlying phenomena usually studied apart.

15 pagesfrom-r289 Read PDF

Seldon Manifolds

The geometry of reachable futures, with its psychological and social applications.

Seldon Manifolds — Theory

The Geometry of Reachable Futures
Theory

Graphic Equalisation requires only admissible continuation and deterministic collapse.

30 pagesr29 Read PDF

Seldon Manifolds — Psychological Grounding

Forward Models, Acceptable Regions, and the Aperture of One Embodiment
Grounding

The Seldon manifold is a construct built to do forecasting, not a model of human cognition, so nothing here bears on whether it works.

12 pagesr14 Read PDF

Seldon Manifolds — Social and Psychological Application

Four Classical Experiments, and What a Substrate Produces Without Being Fitted To It
Grounding

Four classical experiments were put to a substrate built for other reasons, and one of the four does not reproduce.

6 pagesr6 Read PDF

The Law of Narrative Momentum

History as first-class, and persistence conditioned on cost.

The Law of Narrative Momentum — Theory

First-Class History, Cost-Conditioned Persistence, and Revision
Theory

This paper develops Narrative as a real, measurable, frame-relative quantity rather than as a metaphorical story stored inside the graph it describes.

13 pagesr31 Read PDF

Narrativium

What carries a story forward, treated as a quantity.

Narrativium — Theory

Frame-Relative Capacity for Consequential Deformation
Theory

This paper develops Narrativium as a measurable, frame-relative capacity for consequential deformation.

17 pagesr22 Read PDF

Frames, Relation, and the Empty Limit

Two questions the Law raises and should not answer, deflated.

Frames, Relation, and the Empty Limit

A Metaphysical Companion to Graphic Equalisation
Theory

Two questions are taken up that Graphic Equalisation raises and should not answer.

5 pagesr10 Read PDF

Assessing an Account of This Kind

What a universal framework can risk, what it earns instead, and what the record shows.

Assessing an Account of This Kind

What a Universal Framework Can Risk, What It Earns Instead, and What the Record Shows
Meta

The Law of Graphic Equalisation states its commitments and marks each for whether failing it costs a mechanism or costs range.

21 pagesr28 Read PDF

Causal Attitude Networks

An established attitude model rebuilt as native graph rules.

Causal Attitude Networks on the Substrate

What Moved, What Did Not, and What the Mean Field Costs
Implementation

The Causal Attitude Network models an attitude as an Ising-family network of interacting evaluative components.

7 pagesr3 Read PDF

Certified Answers as an Audit

A system that answers only when it can certify the answer, and otherwise misses honestly.

Certified Answers as an Audit

Five Provably-False Keys on Humanity's Last Exam, and the Discipline That Makes Them Worth Reporting
Implementation

A system that answers a question only when it can certify the answer, and otherwise returns an honest miss, is not a competitor on a benchmark.

5 pagesr3 Read PDF

Applied Graphic Equalisation

The account applied to one frame to make a separate point, rather than bridged to a field: the geopolitical and civilisational future.

Geopolitical and Civilisational Future Application of Graphic Equalisation

The Account Applied to One Frame
Application

This paper applies the substrate's results to one frame: contemporary geopolitics and the institutions of an industrial civilisation.

36 pagesr6 Read PDF