Beta A dimensional atlas built on SI base units

Fundamap: a map of physics through dimensions

Explore the space of dimensionally valid quantities, see how known units relate, and identify what additional assumptions or mediators are needed to connect domains.

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Built for: Students Engineers Model builders Curious minds
Scientific note: Dimensional validity indicates a mathematically consistent quantity type. Physical relevance depends on models, constants, constraints, and empirical confirmation.

What you can do here

  • âś“ Navigate known units by dimension signature.
  • âś“ Type-check relationships (unit-consistent reasoning).
  • âś“ Explore unnamed coordinates as candidates for definitions or study.
  • âś“ Spot “missing bridges” (what must be introduced to connect domains).
Quick links
Known units Unnamed coordinates Map of Physics UnitSpace Theory (PDF)

Dimensional Atlas

Treat every quantity as a coordinate in a structured space defined by SI base-unit exponents.

Consistency-first

Separate dimension identity from numerical magnitude. Keep derivations honest and traceable.

Bridging insights

When two domains don’t connect, identify what mediator (constant, law, or property) is required.

Unnamed UnitSpace coordinates

A small sample of dimensionally valid coordinates without standard SI names. Use these as prompts for study, modeling, or definition.

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Burston
N × Tx = kg·m³/s5
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Magneto-Velocity
meter·ampere
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Kelvin-Second4
kelvin·s_quad
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Reminder: A coordinate being “valid” means it is dimensionally consistent. Whether it maps to a useful physical quantity depends on theory, constraints, and evidence.

UnitSpace Theory

UnitSpace Theory treats the SI base units as generators of a structured space of possible quantity types. Fundamap explores this space to catalog known quantities, highlight unnamed coordinates, and study connectivity between domains via mediators (constants, laws, and constitutive relations).

Core ideas

  • Each quantity corresponds to an exponent vector over SI base units.
  • Multiplication/division add/subtract exponents, preserving dimensional identity.
  • “Disconnections” indicate that additional structure is required to couple domains.

What Fundamap is (and isn’t)

  • Is: a dimensional atlas + reasoning scaffold for exploration and education.
  • Isn’t: proof that every coordinate corresponds to a new physical phenomenon.
“The unit encodes constraints; the law provides dynamics.”
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Fundamap is evolving. If you’d like updates when new features land (bridges, signatures, search), bookmark the site and share feedback.

Explore now Known units Unnamed coordinates