← All mental models

Reusable cognitive primitives

Conservation

Some quantity stays constant no matter how a system rearranges — it can move or transform but is never created or destroyed.

Where it appears

Dependencies & synergies

Derived from the graph’s real structure — 10 concepts across 13 disciplines carry this pattern. Every figure is a count, not a score.

Reach across disciplines

How many concepts carrying this pattern are seen through each discipline.

Patterns that travel with it

Other thinking patterns that recur on the same concepts — the more shared concepts, the more often they co-occur.

The shape of its reasoning

What kinds of relationships the carrying concepts form — the relational signature of the pattern.

  • Kind & structure27 edges
  • Cause & effect6 edges
  • Teaching link5 edges
  • Explains & models4 edges
  • Dependency3 edges
  • Analogy & transfer2 edges
Furthest-reaching carriers

Concepts where this pattern does the most cross-disciplinary work — each reaches disciplines beyond its own.

  • Carbon cyclereachesAgricultureClimatologyEarth & Space SciencesEcologyEconomicsGeochemistryMicrobiologyPhysicsSystems Science
  • Nitrogen cyclereachesChemistryEnvironmental ScienceGeographyGeologyMicrobiologySustainability Science
  • Chemical reactionreachesAtmospheric ScienceChemical EngineeringEngineeringMaterials EngineeringPhysical Chemistry
  • Water cyclereachesBiologyChemistryGlaciologyOceanography
  • Conservation of energyreachesBiologyEngineeringEnvironmental EngineeringNutrition Science
  • Biogeochemical cyclereachesHydrologyMeteorology
Foundation of the pattern

Carrying concepts that others in the same pattern build on (they depend on or follow from these).

  1. Mass 1 other concept build on it

Examples across disciplines

Physics

Energy and momentum are conserved in every collision.

Chemistry

Mass is conserved: atoms are only rearranged in a reaction.

Earth & Space Sciences

The water and carbon cycles move a fixed pool through many reservoirs.

How this pattern travels

Interpreted from where the pattern recurs in the atlas — structural transfer and coverage, not a claim it is universally the "best" model.

  • Recurs across 13 disciplines over 10 carrier concepts — a broadly transferable pattern.

    structural · Structural recurrence in the atlas — a pattern is a reasoning lens, not a law.

  • 3 of its 10 carrier concepts are themselves cross-disciplinary connectors.

    structural · Structural recurrence in the atlas — a pattern is a reasoning lens, not a law.

  • Explicit "where it breaks" notes exist for 10 of 10 annotated assignments.

    curated · Curated boundary annotations — absence is a representation gap, not evidence the model has no limits.

  • Currently dark in the atlas: no origin recorded.

    atlas representation · Describes the current Thinking OS representation, not the model itself.

Coverage matrix

How these concepts distribute across domains and concept families — real counts, not a score.

SystemsInformationMatterChangePatternsEnergyLifeScaleStructureDecisionNetworksWavesCausalityComputationEarthSpaceOptimizationNumberProbabilitySecurityThresholdsConstraintsNatural sciencesFormal sciencesEngineeringMedicine & healthSocial sciencesHumanitiesProfessionalArtsInterdisciplinary3141

The statistical fingerprint

How the 10 concepts that exercise this pattern distribute — from the graph, not a ranking.

Disciplinary fingerprint

Carrier concepts under each illuminating lens.

How settled its carriers are

Epistemic status of the concepts that exercise this pattern.

  • Established10 · 100%

Where the model breaks

This pattern is a reasoning lens, not a law. Here is where it stops helping:

  • Angular momentum: Conserved only with no external torque; friction, tides and collisions bleed it away, so an isolated-system idealisation rarely holds exactly.
  • Biogeochemical cycle: Conservation tracks atoms around the loop; it does not bound the RATE or reveal bottlenecks, which is what usually matters ecologically.
  • Carbon cycle: Only carbon ATOMS are conserved — their chemical form, availability and location are not; the model is atom-bookkeeping, not a balance of usefulness.
  • Chemical reaction: Atoms and charge are conserved (the balance), but molecules, bonds and free energy are not — "conservation" here is only the atom count.
  • Conservation of energy (mechanism): Holds for closed systems and says nothing about DIRECTION or usefulness — that is the second law; energy is conserved even as it degrades to unusable heat.
  • First law of thermodynamics (mechanism): Balances energy but is blind to irreversibility: it permits processes (heat flowing cold→hot) that the second law forbids.
  • Mass: Rest mass is not separately conserved in nuclear or relativistic processes — only the combined mass–energy is; treating mass alone as conserved fails there.
  • Momentum (mechanism): Conserved only for a closed system with no net external force; by Noether's theorem it reflects the symmetry of space under translation.
  • Nitrogen cycle: The element is conserved, but reactive vs inert nitrogen are worlds apart biologically — conservation says nothing about which form is available to life.
  • Water cycle: Water molecules are conserved globally, but not locally or in usable form — a drained aquifer is a real loss even though the water still exists somewhere.

4 of 10 explained assignments cite a source; the rest are editorial interpretations. None is externally validated.

Common misconception

Things that vanish are gone. Usually they've just moved or changed form — burned wood becomes gas, not nothing.

Journeys where it shows up

Try a transfer challenge

You have seen this model in one place. Where else could it apply — and where would the analogy break?

Angular momentum
The intuition

Track the conserved quantity like an accountant: whatever leaves here must show up there. A missing amount means you've missed a path.

The reach of this pattern
  • Recurs across 13 disciplines.
  • 23 concepts exercise this thinking pattern.
  • 10 of them explicitly note where the model breaks down.
  • It is practised in 1 learning journey.

Derived from the graph — a pattern is a reasoning lens, not a law.

How to recognise it

Is there a quantity that can move or change form but never appear or vanish — so if it seems to go missing, you've overlooked a path?

Keep this question handy when you meet something new — it helps you notice the pattern, not just name it.