Natural Units¶

In physics, natural unit systems are measurement systems for which selected physical constants have been set to 1 through nondimensionalization of physical units.

Version: v1 · 2026-09-28 · History
Domain-specific #: 10923
Domain group: Natural Sciences
Origin domain: Physics
Subdomains: Metrology, Theoretical Physics → Physics

Core Idea¶

Natural Units is treated here as the recurring formal models and representations identity summarized by this source-grounded definition: In physics, natural unit systems are measurement systems for which selected physical constants have been set to 1 through nondimensionalization of physical units. In physics, natural unit systems are measurement systems for which selected physical constants have been set to 1 through nondimensionalization of physical units. For example, the speed of light may be set to 1, and it may then be omitted, equating mass and energy directly rather than using as a conversion factor in the.

Scope of Application¶

Systems of natural unitsSummary table. B , the Boltzmann constant, has no interactions with the other constants - it is used only to redefine temperature.
Geometrized units. The geometrized unit system, used in general relativity; the base physical units are chosen so that the speed of light, , and the gravitational constant, , are set to one.
Schrödinger units. This natural unit system, used only in the fields of particle and atomic physics, uses the following defining constants.
Schrödinger units. The vacuum permittivity 0 is implicitly used as a nondimensionalization constant, as is evident from the physicists' expression for the fine-structure constant, written , which may be compared to the corresponding expression.
Systems of natural unitsSummary table. e is the Coulomb constant, ≈ , so assigning it a value also assigns 0 a value.

Clarity¶

A clear use of Natural Units names the carrier, the operative relation, and the conditions under which the source treats the identity as present. The minimal definition is In physics, natural unit systems are measurement systems for which selected physical constants have been set to 1 through nondimensionalization of physical units.

Manages Complexity¶

Natural Units compresses multiple formal models and representations details into a stable diagnostic relation. The source shows both the central mechanism—the atomic units were first proposed by Douglas Hartree and are designed to simplify atomic and molecular physics and chemistry, especially the hydrogen atom.—and the practical consequence—b , the Boltzmann constant, has no interactions with the other constants - it is used only to redefine temperature.

Abstract Reasoning¶

Type the carrier. Identify the formal models and representations entities to which the claim applies.
State the relation. Use the source-grounded identity: In physics, natural unit systems are measurement systems for which selected physical constants have been set to 1 through nondimensionalization of physical units.
Check operation and conditions. The Schrödinger system of units (named after Austrian physicist Erwin Schrödinger) were mentioned by Michael Duff (physicist) in his analysis of fundamental constants.
Demand recognition evidence.

Knowledge Transfer¶

Within the home domain. Knowledge about Natural Units transfers literally when a new case preserves the same carrier type, relation, and recognition test. B , the Boltzmann constant, has no interactions with the other constants - it is used only to redefine temperature. The geometrized unit system, used in general relativity; the base physical units are chosen so that the speed of light, , and the gravitational constant, , are set to one. Beyond the home domain. No canonical parent is asserted for Natural Units.

Relationships to Other Abstractions¶

Current abstraction Natural Units Domain-specific

Parents (1) — more general patterns this builds on

Natural Units is a kind of System of Measurement Domain-specific

A natural-unit system is a system of measurement whose unit relations set selected physical constants to one.

Hierarchy path (1) — routes to 1 parentless root

Natural Units → System of Measurement

Neighborhood in Abstraction Space¶

Natural Units sits in a moderately populated region (54^th percentile for distinctiveness): it has near-neighbors but no dense thicket of look-alikes.

Family — Physical Quantities, Operators & Formulas (33 abstractions)

Nearest neighbors

Computed from structural-signature embeddings · 2026-10-08