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.
Mathematics
Physics
Chemistry
Life sciences
Earth
Applied
Humanities
Applied and social
Physical sciences
encoding
7
1
11
2
11
7
metabolism
10
12
27
6
9
2
reasoning
45
28
13
8
3
18
10
2
8
physical_substance
8
29
13
27
11
14
1
1
8
authority_trust
6
18
16
6
2
time_sequence
10
9
21
10
28
4
3
3
conservation_balance
14
30
12
16
9
24
1
2
8
discreteness
19
16
12
11
4
6
5
THE COMB
72 sites · 59 filled · 13 empty — a dashed cell is a question with no answer on the shelf. A theory appears in every dimension its domain touches, so counts exceed 178.
How well each theory is joined
The same 178, 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.
most aligned
least aligned
Kolmogorov probability axioms
Second law of thermodynamics (entropy)
Conservation of energy (1st law of thermodynamics)
Game theory (Nash equilibrium)
Hermeneutics (the theory of interpretation)
Maxwell's equations / classical electromagnetism
Quantum mechanics (Schrödinger equation)
Shannon information theory (entropy, channel capacity)
The electromagnetic spectrum & modulation (radio to gamma, one axis)
Acoustic wave theory (harmonics, Doppler)
Chemical kinetics & equilibrium (Arrhenius, Le Chatelier)
Euclidean geometry & the parallel postulate
Fourier analysis & signal processing
General relativity
Bohr / quantum model of the atom
Cell theory
Chemical bonding (valence-bond / molecular-orbital)
Cryptographic security (hashing, checksums, PKI)
Differential equations (the language every physical law is written in)
Linear programming & duality
Newton's law of universal gravitation
Newton's three laws of motion
Spectroscopy (how we know what a distant thing is made of)
Wave optics (Huygens, Snell's law, diffraction)
Aperiodic tiling (Penrose, and the 2023 monotile)
Central limit theorem
Church–Turing thesis / computability
Control theory & cybernetics (feedback, stability)
Darwinian evolution by natural selection
Fundamental theorem of calculus
Homeostasis & physiological regulation
Kinetic theory of gases
Special relativity
Statistical mechanics (Boltzmann — why the second law is a counting argument)
Bayes' theorem
Celestial mechanics / ephemeris prediction
Central dogma of molecular biology (DNA→RNA→protein)
Conservation of linear & angular momentum
Crop rotation & biological nitrogen fixation (the low-input path)
Fluid mechanics (Bernoulli, Reynolds, Navier–Stokes)
Formal logic & epistemology (validity, inference)
Germ theory of disease
Graph theory (Euler, connectivity)
Group theory & symmetry (the mathematics of what stays the same)
Gödel's incompleteness theorems
Haber–Bosch nitrogen fixation (bread from air)
Linear algebra (vector spaces, eigenvalues)
Mendelian inheritance
Noether's theorem (symmetry and conservation)
Nuclear decay & binding energy
Nutrient cycling & agronomy (NPK, evapotranspiration)
Standard Model / quantum field theory
Structural & generative linguistics (Saussure, Chomsky)
Zermelo–Fraenkel set theory (ZFC)
Biochemistry & enzymes (catalysis at body temperature)
Chemical engineering (unit operations, balances, and scale-up)
Compartmental epidemiology (SIR models and R₀)
Condensed matter & semiconductors (band theory and the transistor)
Dalton's atomic theory
Differential geometry (curvature measured from inside)
Digital versus analog (why discreteness survives copying)
Discrete units in living things (codon, gene, species, phoneme)
Discrete versus continuous (the oldest dividing line)
Dynamical systems & deterministic chaos
Elasticity (Hooke's law, stress–strain)
Electrochemistry & the battery (Volta, Faraday, and stored charge)
Error-correcting codes (Hamming, Reed–Solomon)
Evolutionary game theory (evolutionarily stable strategies)
Hardy–Weinberg equilibrium
Heat transfer (conduction, convection, radiation)
Heisenberg uncertainty principle
Heliocentrism & Kepler's laws
Law of conservation of mass (Lavoisier)
Measure theory (Lebesgue integration)
Non-Euclidean (hyperbolic / elliptic) geometry
Null-hypothesis significance testing (Fisher / Neyman–Pearson)
Optimization & gradient descent (following the slope)
Pauli exclusion principle
Peano arithmetic axioms
Phase theory (phase diagrams, Clausius–Clapeyron)
Plasma physics (the fourth state, and most of the universe)
Population ecology (Lotka–Volterra, carrying capacity)
Quantum information & entanglement (von Neumann entropy)
Quasicrystals (forbidden symmetry in real matter)
Reliability & tolerance stack-up (RSS)
Semiotics (sign, signified, interpretant)
Simple machines & buoyancy (Archimedes)
Spacetime & the quantum-gravity problem (where physics ends)
Statistical learning theory (bias-variance, generalization)
Stellar nucleosynthesis & the HR diagram
Stoichiometry & the mole concept
Structural statics (load, moment, floor-area ratio)
Topology (what survives stretching)
Vaccination & immune memory (Jenner to eradication)
AC & the polyphase system (Tesla, and why the grid is alternating)
Agricultural science (yield, soil-pH suitability)
Algebraic geometry (solution sets as shapes)
Antibiotics & antimicrobial resistance (Fleming's own warning)
Antisepsis & handwashing (Semmelweis, Lister)
Aristotelian rhetoric & fallacy taxonomy
Ashby's law of requisite variety (the humility theorem)
Atmospheric thermodynamics (dew point, lapse rate)
Atomism (the idea that matter is not infinitely divisible)
Big Bang cosmology & expansion (Hubble's law)
Bioenergetics / energy balance (calorimetry, 4-9-4)
Boolean algebra / propositional logic
Brønsted–Lowry acid–base theory & pH
Calendar theory (Gregorian reform, leap rules)
Category theory (the mathematics of structure-preserving maps)
Circulation of the blood (Harvey's quantitative argument)
Combinatorial enumeration (permutations, combinations, binomial)
Comparative advantage
Computational complexity (P, NP, reductions)
Contract theory & rule of law
Counting & the integers (the first abstraction)
Double-entry accounting identity (A = L + E)
Electromagnetic induction (Faraday's law — how all electricity is made)
Emergence & self-organization (more is different)
Exercise physiology (VO₂max, HR zones)
Fixed-point theorems (Brouwer, Kakutani)
Fracture mechanics (Griffith, and why things really break)
Fundamental theorem of algebra
Fundamental theorem of arithmetic (unique factorization)
Girih tiles — quasi-periodic design in medieval Islamic architecture
Hydrologic cycle & open-channel flow (Manning, Darcy)
Ideal gas law (PV = nRT)
Landauer's principle (erasing information costs heat)
Law of large numbers
Liebig's law of the minimum (what actually limits growth)
Mechanism design & auction theory
Modern portfolio theory (Markowitz)
Music theory (harmonic series, equal temperament)
Network science (small-world, scale-free, robustness)
Network theory (routing, addressing / CIDR)
Neurons & the action potential (how a nerve carries a signal)
Numerical analysis (why the computer's answer is not the answer)
Ohm's law & circuit theory (Kirchhoff)
Optimal packing & the honeycomb conjecture (Hales)
Organic chemistry & functional groups (why life is built on carbon)
Percolation & critical thresholds
Periodic law (Mendeleev)
Pharmacokinetics (dosing, clearance, half-life)
Physical oceanography (hydrostatics, tides)
Plate tectonics
Power laws & heavy tails (Zipf, Pareto)
Public choice / decision theory
Quantization (why nature comes in whole units)
Sanitation, clean water & oral rehydration (Snow's pump handle)
Scaling laws & allometry (Kleiber's law, the square-cube)
Signal detection theory (sensitivity, criterion, ROC)
Supply & demand / market equilibrium
Symbiosis & endosymbiosis (cooperation as a major transition)
Systems engineering (requirements, interfaces, and emergent failure)
Textual criticism (establishing what the text says)
The Green Revolution (Borlaug, semi-dwarf breeding)
The double helix (structure that explains its own copying)
The immune system (innate and adaptive, and self versus not-self)
Time value of money & discounting
Translation theory (formal vs dynamic equivalence)
Dimensional analysis & similarity (Buckingham Π)
Explore versus exploit (the multi-armed bandit)
Fractals & self-similarity (Mandelbrot)
Hess's law / thermochemistry
Historical chronology (era reckoning, elapsed years)
Labor economics (minimum wage, overtime law)
Map projections (why no flat map is honest)
Normative ethics (consequentialism / deontology / virtue)
Photographic exposure theory (exposure value, reciprocity)
Prospect theory & bounded rationality (Kahneman, Simon)
Pythagorean theorem
Queueing theory (Little's law)
Radiometric dating & uniformitarianism
Real-estate valuation (cap rate, DCF)
Sabermetrics / sports analytics (Pythagorean expectation, Elo)
Seismology & earthquake magnitude (Richter / moment)
The Carnot limit (the ceiling on every engine ever built)
Third law of thermodynamics
VSEPR theory (molecular geometry)
Kolmogorov probability axioms
Second law of thermodynamics
Conservation of energy
Game theory
Hermeneutics
Maxwell's equations / classica
Quantum mechanics
Shannon information theory
The electromagnetic spectrum &
Acoustic wave theory
Chemical kinetics & equilibriu
Euclidean geometry & the paral
Fourier analysis & signal proc
General relativity
Bohr / quantum model of the at
Cell theory
Chemical bonding
Cryptographic security
Differential equations
Linear programming & duality
Newton's law of universal grav
Newton's three laws of motion
Mathematics (45)
Physics (30)
Chemistry (13)
Life sciences (27)
Earth (11)
Applied (30)
Humanities (11)
Applied and social sciences (3)
Physical sciences (8)
THE FLOOR
178 theories · 285 relations · one body · most aligned at the centre
angle
alignment
depth
section
calibration
+
−
reset
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 178
relations 285 · every one carrying its evidence
cross-domain pairs 151
median relations per theory 3
cards with real depth 178 of 178
— 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.
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 Historical chronology (era reckoning, elapsed years) · history_chronology Labor economics (minimum wage, overtime law) · labor Map projections (why no flat map is honest) · geography Normative ethics (consequentialism / deontology / virtue) · philosophy Photographic exposure theory (exposure value, reciprocity) · photography Prospect theory & bounded rationality (Kahneman, Simon) · economics Pythagorean theorem · geometry Queueing theory (Little's law) · operations_research Radiometric dating & uniformitarianism · geology Real-estate valuation (cap rate, DCF) · real_estate Sabermetrics / sports analytics (Pythagorean expectation, Elo) · sports_analytics Seismology & earthquake magnitude (Richter / moment) · geology The Carnot limit (the ceiling on every engine ever built) · thermodynamics Third law of thermodynamics · thermodynamics VSEPR theory (molecular geometry) · molecular_geometry
Lone in its domain
One theory covering a whole field is a field we have
barely entered.
acoustics calendar_time cybersecurity ecology ephemeris exercise_science geography governance history_chronology labor law linear_algebra meteorology molecular_geometry music_theory nutrition oceanography periodic_table photography real_estate rhetoric sports_analytics
Found and checked, never generated. Every relation carries the
reason it exists; a relation without one is not written.