The Floor

Every theory the sciences and mathematics actually run on, joined by what it rests on, what limits it, and what shares its form. One body, so you can walk from any theory to the ones holding it up. Drawn rather than listed, because a list cannot show you what is missing — you would have to already know.

The same floor, read the other way, is The Floor of Discovery — Scripture and the created order as one design. That page is for seeing it; this one is for walking it.

Where the floor is missing

A lattice, because a lattice has sites that can be empty. Eight dimensions down, the catalogue's sections across; each site asks what a section contributes to a dimension, and a dashed red cell is that question with nothing on the shelf to answer it. An empty site is a question, not automatically a gap — some combinations need not exist — but a whole row of them is a thin place worth walking to.

How well each theory is joined

The same 217, arranged by how many relations each holds — most aligned at the centre, spiralling out at the golden angle. Distance from the middle is how peripheral a theory is to the assembled floor. Zoom in, turn it to another angle, and click any cell for its card. Changing the angle changes the question the picture is answering: by depth the centre is what we actually know most about, by calibration the sealable core separates from the map-only rim.

angle drag to pan · scroll to zoom · click a cell for its card

rests on limits shares a form node size = relations held · brightness = depth of the card · red ring = resting on almost nothing

What the drawing is telling you

theories	217
relations	354 · every one carrying its evidence
cross-domain pairs	169
median relations per theory	3
cards with real depth	217 of 217 — the rest carry only the assay template, which is why the map is dim

Thin — a beam resting on almost nothing

These hold one relation or none. Not wrong; underbuilt. Each is a place to look for what it actually stands on.

Arrow's impossibility theorem · governance
Central place theory (Christaller) · geography
Diffie-Hellman key exchange · cybersecurity
Dimensional analysis & similarity (Buckingham Π) · physics
Explore versus exploit (the multi-armed bandit) · operations_research
Fractals & self-similarity (Mandelbrot) · mathematics
Hess's law / thermochemistry · chemistry
Molecular symmetry & point groups · molecular_geometry
Motor learning & the stages of skill acquisition (Fitts & Posner) · exercise_science
Normative ethics (consequentialism / deontology / virtue) · philosophy
Prospect theory & bounded rationality (Kahneman, Simon) · economics
Pythagorean theorem · geometry
Queueing theory (Little's law) · operations_research
Radiometric dating & uniformitarianism · geology
Room acoustics & reverberation (Sabine) · acoustics
Seismology & earthquake magnitude (Richter / moment) · geology
Singular value decomposition (SVD) · linear_algebra
The Carnot limit (the ceiling on every engine ever built) · thermodynamics
The Casimir effect (structured energy of the quantum vacuum) · physics
The Saros cycle (eclipse prediction) · ephemeris

Lone in its domain

One theory covering a whole field is a field we have barely entered.

none

Found and checked, never generated. Every relation carries the reason it exists; a relation without one is not written.