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Adjacency Theory

Adjacencytheory.com · Research Lab v1.0

We keep trying to cross the distance.What if the distance is the thing we should change?

Adjacency Theory is a computational research programme asking whether the separation we experience as space is a derived property of a deeper relational structure — and what would have to be true before that structure could ever be called controllable.

Umbrella
Adjacency Theory
Core hypothesis
Relational Distance Hypothesis
First engine
AT-RDH-0 Reproduction Lab
Posture
Speculative · Falsifiable · Reproducible

Research thesis

Distance may not be fundamental

The initial programme does not assume that a relational structure can be engineered. It asks what mathematical, causal and energetic conditions would have to hold before that claim could even become meaningful.

D(A, B) = F(R)
R is a deliberately abstract relational structure; D(A,B) is an emergent or effective distance. The research question is whether a controlled δR can ever correspond to a physically meaningful δD without violating causality.

The core analogy

We assumed reaching page 1,000 requires crossing pages 2 – 999.

Adjacency Theory asks what determines which pages are next to each other.

  • Established physicsGeneral relativity relates spacetime geometry to stress-energy. Entanglement alone permits no faster-than-light signalling.
  • Active / theoreticalVan Raamsdonk; ER = EPR; traversable wormholes via double-trace deformation — spacetime connectedness tied to entanglement in holographic settings.
  • Adjacency Theory hypothesisIf geometry is emergent from relational degrees of freedom, identify the controllable variables, the response function and the physical constraints.

Live model preview · AT-RDH-0

Relational state → effective separation

physicalClaim: false
ABCDEFGHIJKLMNOP

D(A,B)

1.774

Geodesic hops

3

Mean coupling

0.552

Max ∂D/∂R

2.093

PASSmetric validityNOT MODELEDcausality · energy conditions

Stage gates

Reproduce first. Speculate second.

AT-0

Reproduction

Validate implementation before novelty.

AT-1

Perturbation

Measure ΔD in response to controlled ΔR.

AT-2

Transition

Search for nonlinear adjacency regimes.

AT-3

Reconstruction

Do relational states rebuild geometry?

AT-4

Causal geometry

Time, light cones, signalling limits.

AT-5

Energy

Stress-energy and energy-condition implications.

AT-6

Prediction

An observable that distinguishes the idea.

AT-X

Experiment

Only if every previous gate survives.

Scientific integrity gate

The success criterion for this project is not prove the theory. It is: make the theory precise enough that mathematics and experiment can prove parts of it wrong.

  • Graph-distance reduction is not physical distance reduction.
  • Entanglement alone is not a faster-than-light communications mechanism.
  • Holographic toy models do not automatically describe laboratory-scale spacetime.
  • Failed experiments remain public. Revisions create versions, never rewrites.