Rosenfeld's law¶

Rosenfeld's law is an axiom relating physics to economics, that states that the amount of energy required to produce one dollar of GDP has decreased by about one percent per year since 1845.

Version: v1 · 2026-09-28 · History
Domain-specific #: 11842
Domain group: Social Sciences
Origin domain: Economics & Finance
Subdomains: Energy Economics, Energy Intensity → Economics & Finance

Core Idea¶

Rosenfeld's law is treated here as the recurring cross_domain_models_structures_representations identity summarized by this source-grounded definition: Rosenfeld's law is an axiom relating physics to economics, that states that the amount of energy required to produce one dollar of GDP has decreased by about one percent per year since 1845.

Rosenfeld's law is an axiom relating physics to economics, that states that the amount of energy required to produce one dollar of GDP has decreased by about one percent per year since 1845. From 1845 to the present, the amount of energy required to produce the same amount of gross national product has steadily decreased at the rate of about 1 percent per year. This is not quite as spectacular as Moore's Law of integrated circuits, but it has been tested over a longer period of time.

One percent per year yields a factor of 2.7 when compounded over 100 years. It took 56 BTUs (59,000 joules) of energy consumption to produce one (1992) dollar of GDP in 1845. By 1998, the same dollar required only 12.5 BTUs (13,200 joules).

For Rosenfeld's law, the abstraction is narrower than the article's general subject matter: a positive case must preserve Rosenfeld's law is an axiom relating physics to economics, that states that the amount of energy required to produce one dollar of GDP has decreased by about one percent per year since 1845. Retaining only the name, a familiar example, or a downstream effect is insufficient. The specialist roles and tests remain anchored in cross_domain_models_structures_representations, which is why this identity is domain-specific rather than prime.

Structural Signature¶

Sig role-phrases:

Defining carrier — Rosenfeld's law is an axiom relating physics to economics, that states that the amount of energy required to produce one dollar of GDP has decreased by about one percent per year since 1845.
Constitutive relation — From 1845 to the present, the amount of energy required to produce the same amount of gross national product has steadily decreased at the rate of about 1 percent per year.
Operating condition — This is not quite as spectacular as Moore's Law of integrated circuits, but it has been tested over a longer period of time.
Recognition evidence — One percent per year yields a factor of 2.7 when compounded over 100 years.
Admissible variation — It took 56 BTUs (59,000 joules) of energy consumption to produce one (1992) dollar of GDP in 1845.
Characteristic consequence — By 1998, the same dollar required only 12.5 BTUs (13,200 joules).
Failure boundary — Rosenfeld's law is an axiom relating physics to economics, that states that the amount of energy required to produce one dollar of GDP has decreased by about one percent per year since 1845.

What It Is Not¶

Not the whole field of cross_domain_models_structures_representations. The node requires the specific identity stated by Rosenfeld's law is an axiom relating physics to economics, that states that the amount of energy required to produce one dollar of GDP has decreased by about one percent per year since 1845.
Not an over-broad reading. This is not quite as spectacular as Moore's Law of integrated circuits, but it has been tested over a longer period of time.
Not an over-broad reading. Rosenfeld's law is an axiom relating physics to economics, that states that the amount of energy required to produce one dollar of GDP has decreased by about one percent per year since 1845.
Not an over-broad reading. From 1845 to the present, the amount of energy required to produce the same amount of gross national product has steadily decreased at the rate of about 1 percent per year.
Not automatically Koomey's law. Retrieval proximity does not establish equivalence; the two identities must be compared by carrier, operation, and failure boundary.

Scope of Application¶

Rosenfeld's law applies literally inside cross_domain_models_structures_representations wherever the source-defined carrier and relation can be established. Its documented habitats include:

Documented setting. Rosenfeld's law is an axiom relating physics to economics, that states that the amount of energy required to produce one dollar of GDP has decreased by about one percent per year since 1845.
Documented setting. From 1845 to the present, the amount of energy required to produce the same amount of gross national product has steadily decreased at the rate of about 1 percent per year.
Documented setting. This is not quite as spectacular as Moore's Law of integrated circuits, but it has been tested over a longer period of time.
Documented setting. One percent per year yields a factor of 2.7 when compounded over 100 years.
Documented setting. It took 56 BTUs (59,000 joules) of energy consumption to produce one (1992) dollar of GDP in 1845.
Documented setting. By 1998, the same dollar required only 12.5 BTUs (13,200 joules).

Outside cross_domain_models_structures_representations, the name should be retained only when these same operational conditions survive; otherwise the comparison belongs to the broader parent Measurement or should be marked as analogy.

Clarity¶

A clear use of Rosenfeld's law names the carrier, the operative relation, and the conditions under which the source treats the identity as present. The minimal definition is Rosenfeld's law is an axiom relating physics to economics, that states that the amount of energy required to produce one dollar of GDP has decreased by about one percent per year since 1845. The strongest recognition evidence in the frozen account is: One percent per year yields a factor of 2.7 when compounded over 100 years. A report should distinguish that evidence from a proxy, consequence, or common implementation. It should also state the qualification This is not quite as spectacular as Moore's Law of integrated circuits, but it has been tested over a longer period of time. so that a reader can reproduce the classification rather than infer it from topical resemblance.

Manages Complexity¶

Rosenfeld's law compresses multiple cross_domain_models_structures_representations details into a stable diagnostic relation. The source shows both the central mechanism—from 1845 to the present, the amount of energy required to produce the same amount of gross national product has steadily decreased at the rate of about 1 percent per year.—and the practical consequence—by 1998, the same dollar required only 12.5 BTUs (13,200 joules). This compression makes cases comparable while leaving parameters, conventions, exceptions, and evidential quality explicit. It is lossy by design: local history and implementation details may be omitted only when they do not alter the defining relation.

Abstract Reasoning¶

Type the carrier. Identify the cross_domain_models_structures_representations entities to which the claim applies.
State the relation. Use the source-grounded identity: Rosenfeld's law is an axiom relating physics to economics, that states that the amount of energy required to produce one dollar of GDP has decreased by about one percent per year since 1845.
Check operation and conditions. This is not quite as spectacular as Moore's Law of integrated circuits, but it has been tested over a longer period of time.
Demand recognition evidence. One percent per year yields a factor of 2.7 when compounded over 100 years.
Test variation. Change an implementation or setting while preserving it took 56 BTUs (59,000 joules) of energy consumption to produce one (1992) dollar of GDP in 1845.
Run the collapse test. Remove the defining operation; if the label still seems equally apt, only a topic or correlate was retained.
Reduce cautiously. When the specialist conditions cannot be carried, route the residual comparison to Measurement.

Knowledge Transfer¶

Within the home domain. Knowledge about Rosenfeld's law transfers literally when a new case preserves the same carrier type, relation, and recognition test. Rosenfeld's law is an axiom relating physics to economics, that states that the amount of energy required to produce one dollar of GDP has decreased by about one percent per year since 1845. From 1845 to the present, the amount of energy required to produce the same amount of gross national product has steadily decreased at the rate of about 1 percent per year.

Beyond the home domain. No canonical parent is asserted for Rosenfeld's law. An outside case receives the specialist name only when the same typed roles and rejection conditions can be filled literally; otherwise the comparison remains an analogy pending later graph densification.

Examples¶

Canonical¶

Rosenfeld's law is an axiom relating physics to economics, that states that the amount of energy required to produce one dollar of GDP has decreased by about one percent per year since 1845. This case is canonical because it supplies a concrete carrier and lets the defining relation be checked rather than merely named.

Mapped back: carrier → the entities in the documented case; operation → Rosenfeld's law is an axiom relating physics to economics, that states that the amount of energy required to produce one dollar of GDP has decreased by about one percent per year since 1845; recognition evidence → One percent per year yields a factor of 2.7 when compounded over 100 years

Applied / In Practice¶

From 1845 to the present, the amount of energy required to produce the same amount of gross national product has steadily decreased at the rate of about 1 percent per year. The applied case shows how the identity is used under a second setting or qualification while keeping the same operative relation.

Mapped back: changed setting → the applied context; invariant → Rosenfeld's law is an axiom relating physics to economics, that states that the amount of energy required to produce one dollar of GDP has decreased by about one percent per year since 1845; boundary → the case exits the class when this is not quite as spectacular as Moore's Law of integrated circuits, but it has been tested over a longer period of time

Structural Tensions¶

T1 — Stable identity versus admissible variation. This is not quite as spectacular as Moore's Law of integrated circuits, but it has been tested over a longer period of time. The tension matters because emphasizing only one side either dissolves the identity or overstates what the evidence and domain conventions warrant.

Diagnostic: Which changes preserve the defining relation, and which replace it?

T2 — Recognition versus proxy. Rosenfeld's law is an axiom relating physics to economics, that states that the amount of energy required to produce one dollar of GDP has decreased by about one percent per year since 1845. The tension matters because emphasizing only one side either dissolves the identity or overstates what the evidence and domain conventions warrant.

Diagnostic: Does the cited evidence establish the identity or only a correlated sign?

T3 — Definition versus implementation. From 1845 to the present, the amount of energy required to produce the same amount of gross national product has steadily decreased at the rate of about 1 percent per year. The tension matters because emphasizing only one side either dissolves the identity or overstates what the evidence and domain conventions warrant.

Diagnostic: Is the observed implementation constitutive, optional, or merely common?

T4 — Scope versus overextension. One percent per year yields a factor of 2.7 when compounded over 100 years. The tension matters because emphasizing only one side either dissolves the identity or overstates what the evidence and domain conventions warrant.

Diagnostic: Can every claimed application fill the same typed roles without metaphor?

T5 — Transfer versus domain accent. Rosenfeld's law is an axiom relating physics to economics, that states that the amount of energy required to produce one dollar of GDP has decreased by about one percent per year since 1845. The tension matters because emphasizing only one side either dissolves the identity or overstates what the evidence and domain conventions warrant.

Diagnostic: Does the receiving case instantiate Rosenfeld's law literally, co-instantiate Measurement, or only resemble it?

T6 — Autonomy versus reduction. From 1845 to the present, the amount of energy required to produce the same amount of gross national product has steadily decreased at the rate of about 1 percent per year. The tension matters because emphasizing only one side either dissolves the identity or overstates what the evidence and domain conventions warrant.

Diagnostic: What does Rosenfeld's law distinguish that the broader parent Measurement leaves together?

Structural–Framed Character¶

Rosenfeld's law is mixed or framed-leaning. Its structural side is the repeatable organization summarized by Rosenfeld's law is an axiom relating physics to economics, that states that the amount of energy required to produce one dollar of GDP has decreased by about one percent per year since 1845. Its framed side is the cross_domain_models_structures_representations vocabulary that fixes the carrier, evidence, exceptions, and admissible transformations.

Evaluative weight: the identity can be stated descriptively even when applications carry practical stakes. Human-practice dependence: the source-grounded carrier determines whether the relation exists independently or is constituted by a practice. Institutional origin: disciplinary conventions stabilize the name and test. Vocabulary portability: This is not quite as spectacular as Moore's Law of integrated circuits, but it has been tested over a longer period of time. Import versus recognition: literal transfer requires the same mechanism; shape alone is analogy.

Its portable skeleton is Measurement. Its character: a recurring specialist identity whose thin organization can be abstracted, while its operational meaning remains domain-bound.

Structural Core vs. Domain Accent¶

What is skeletal. Rosenfeld's law is an axiom relating physics to economics, that states that the amount of energy required to produce one dollar of GDP has decreased by about one percent per year since 1845. The stable skeleton is the typed relation expressed in that definition and the entry's recognition and collapse tests. The source identifies these operative conditions: Rosenfeld's law is an axiom relating physics to economics, that states that the amount of energy required to produce one dollar of GDP has decreased by about one percent per year since 1845. From 1845 to the present, the amount of energy required to produce the same amount of gross national product has steadily decreased at the rate of about 1 percent per year. It further constrains recognition and variation through: This is not quite as spectacular as Moore's Law of integrated circuits, but it has been tested over a longer period of time. One percent per year yields a factor of 2.7 when compounded over 100 years.

What is domain-bound. cross domain models structures representations supplies the operative entities, technical vocabulary, warrants, and exceptions that make Rosenfeld's law literal. Its documented scope includes the condition that Rosenfeld's law is an axiom relating physics to economics, that states that the amount of energy required to produce one dollar of GDP has decreased by about one percent per year since 1845. Another bounded application condition is that From 1845 to the present, the amount of energy required to produce the same amount of gross national product has steadily decreased at the rate of about 1 percent per year. These are not decorative examples; they determine which carrier and evidence can fill the abstraction's roles.

Why no parent is asserted. Removing those specialist details does not currently yield one live catalog node that is a necessary genus for every instance. The entry is therefore approved as unparented rather than attached by topical resemblance. Its collapse evidence remains specific—It took 56 BTUs (59,000 joules) of energy consumption to produce one (1992) dollar of GDP in 1845.—and future graph densification may discover a defensible relation only if it preserves that boundary.

This entry is a kind of Axiom.

Approved unparented node. No current live node supplies a defensible necessary genus or structural prerequisite for Rosenfeld's law. The reviewed identity is: Rosenfeld's law is an axiom relating physics to economics, that states that the amount of energy required to produce one dollar of GDP has decreased by about one percent per year since 1845. The accelerated suggestion was declined because topical or lexical similarity does not establish hierarchy; the node is admitted without a parent pending later graph densification.
Related reasoning operations. Evidence, representation, comparison, classification, transformation, or evaluation may participate in particular cases, but participation does not make any one of them a necessary parent of every instance.

Relationships to Other Abstractions¶

Current abstraction Rosenfeld's law Domain-specific

Parents (1) — more general patterns this builds on

Rosenfeld's law is a kind of Axiom Prime

Rosenfeld's law is an asserted empirical axiom about declining energy intensity per unit of GDP.

Hierarchy path (1) — routes to 1 parentless root

Rosenfeld's law → Axiom → Epistemic Mode Of A Proposition

Neighborhood in Abstraction Space¶

Rosenfeld's law sits in a sparse region of the domain-specific corpus (88^th percentile for distinctiveness): few abstractions share its structure, so a faithful description tends to retrieve it precisely.

Family — Classical & Trade Economic Theory (20 abstractions)

Nearest neighbors

Elasticity of intertemporal substitution — 0.82
Wicksell's theory of capital — 0.81
Law of increasing costs — 0.80
Integral part — 0.80
Merton's portfolio problem — 0.80

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

Not to Be Confused With¶

Measurement. The parent omits the specialist differentia. Tell: Can the case establish Rosenfeld's law is an axiom relating physics to economics, that states that the amount of energy required to produce one dollar of GDP has decreased by about one percent per year since 1845?
Koomey's law. The empirical trajectory by which computations delivered per joule dissipated have doubled about every 1.57 years (slowing to ~2.6 after Dennard scaling broke in 2005), tracking the energy cost of a logical operation toward the Landauer floor. Tell: Which entry's carrier, operation, and failure condition are satisfied?
Gibson's Paradox. The gold-standard-era regularity that long-term nominal interest rates tracked the price level itself, not the rate of inflation — a Fisher-violating correlation that vanished under fiat money, marking it a regime-specific artifact rather than a law. Tell: Which entry's carrier, operation, and failure condition are satisfied?
Say's Law (Supply Creates Its Own Demand). The classical claim that aggregate production generates the income constituting aggregate demand, so a general glut cannot persist — a conditional resting on flexible market-clearing prices, no permanent hoarding, and a loanable-funds market that routes saving into investment. Tell: Which entry's carrier, operation, and failure condition are satisfied?
A measurement, proxy, or consequence. Those may provide evidence without being the identity. Tell: Would Rosenfeld's law remain present if the detector or downstream effect changed?
A metaphorical analogue. A similar shape outside cross_domain_models_structures_representations lacks the specialist mechanism. Tell: Do the native roles transfer literally, or only the parent Measurement?

References¶

Frozen Wikipedia discovery revision: https://en.wikipedia.org/wiki/Rosenfeld%27s_law (revision 1322004664).

The frozen Wikipedia revision is discovery provenance. The retained source set was reviewed for identity, formal or operational relation, and scope. The encyclopedia's structural synthesis is bounded to those claims; a thin authority surface is recorded as a nonblocking source-strengthening repair rather than concealed.