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Adjacency Theory markAdjacency Theory

Imagine · for everyone, from age ten upward

What if far away could become next door?

This page has no equations. It has the real question we work on every day, drawn so you can play with it — and an honest label on every single idea, so you always know what is measured, what is being studied, and what is only ours to wonder about.

How to read this pageKNOWNTHEORYOUR QUESTION
01 · The problemKNOWN

Space is enormous, and rockets have to cross all of it

A spacecraft moves by pushing itself through every kilometre between here and there. Even at astonishing speed, the nearest other star takes tens of thousands of years.

Eartha star, very far awayevery single kilometre in between

A rocket is a brilliant machine for crossing space. It is still crossing all of it.

02 · The bookTHEORY

A thousand pages — or one fold

Imagine a book with a thousand pages. Normally you reach page 1000 by turning every page. But the pages are not far apart because of the paper — they are far apart because of how the book is bound.

page 1page 1000flip every page, one at a time
Thought experiment

This is a picture to think with, not a description of space. Bending paper is easy; nobody has shown that space has a binding you can change.

03 · The networkOUR QUESTION

What if distance is a result, not a thing?

Take away the empty space and keep only dots and the relationships between them. Now 'far' means weakly related and 'near' means strongly related. Slide the control and watch which dots become neighbours — none of them move.

19 relationships · the dots never moved

Computational idea. Not physical evidence. This is a graph on a screen, and a graph is mathematics.

04 · Three ways to reach BOUR QUESTION

Move through it, change it, or change who you are next to

Only the first of these three is transportation as we know it. The other two happen inside the model: links change, or a traveler's list of relationships changes while the traveler itself sits perfectly still.

1 · Traversal

The traveler crosses every bit of the path. This is how travel works today.

2 · Change adjacency

Nothing moves. The links themselves change, so the modeled separation shrinks.

3 · Relational address

origindestination

The traveler stays exactly where it is on screen. What changes is who it is related to.

Ideas 2 and 3 are not real transportation and are not teleportation. They are edits to a mathematical model of relationships.

05 · Our big questionOUR QUESTION

What makes one state of reality allowed to become another?

Instead of asking how something moves, we ask what the rules permit. Between state A and state B there is a whole landscape of possible routes — some cheap, some expensive, some forbidden.

state Astate BPath α · cost 3.2

Same start. Same finish. Different routes, different costs — and some routes the rules may simply not allow.

06 · How we test itKNOWN

Failure is data

This is the loop every scientist uses, and the one we follow here. The most valuable thing we can do to our own idea is try hard to destroy it.

  1. step 1

    Imagine

    Ask a question nobody has answered yet.

  2. step 2

    Write a rule

    Turn the question into exact mathematics.

  3. step 3

    Simulate

    Let a computer follow the rule honestly.

  4. step 4

    Try to break it

    Attack our own result on purpose.

  5. step 5

    Keep what survives

    Whatever survives the attack, we keep.

  6. step 6

    Ask a better question

    Then start again, one step smarter.

When an experiment fails here, we keep it, publish it and give it a number. A failed test is not a bad day — it is the part of science that actually tells you something.

07 · What would success mean?THEORY

Four outcomes, from likely to wildly speculative

Every card below is conditional. Read the label on each one: they are not equally likely, and the last one is not remotely established.

KNOWN

Better ways to describe shape from structure

Mathematics that turns a web of relationships into a geometry already exists and is useful today.

THEORY

New tools for networks and information

If our observables behave well, they could help describe traffic, brains, materials or any other network.

THEORY

Clues that help with quantum gravity

Several serious research programmes ask whether space emerges from something more basic. Our toys sit beside them, not above them.

OUR QUESTION

A real mechanism that changes effective separation

The distant, speculative end game: some physical way to change the relationship rather than out-run the distance. We have no evidence that nature allows this.

08 · End gameOUR QUESTION

The most speculative picture we are willing to draw

If — and it is an enormous if — relationships could be changed in the world and not only in a model, then reaching somewhere far would not be about going faster.

We do not know if nature allows this

far apart in the model
Speculative — not demonstrated physics

The dream: change the relationship, not the speed.

Speculative. Not demonstrated physics. No experiment on this site provides any evidence that this is possible.

09 · Build with usKNOWN

Curious people welcome — including the ten-year-olds

Every model here is open, seeded and reproducible. You can run the same experiment we ran, get the same numbers, and then try to break them.

This whole page, in four lines

What we tried
We asked whether distance could be a result of relationships, and built small computer models to find out.
What happened
In our models, changing relationships changes the measured separation — and we can measure exactly how much it costs.
Why it matters
It gives us a precise, testable way to ask an old question about what space really is.
What it does NOT prove
It does not show that real space works this way, and it does not make any kind of travel possible.

“Nothing is possible unless we have thought it.”

Thought opens the possibility. Testing decides what survives.