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Boltzmann's Entropy Formula

Mathematical Physics, Biology and Game Theory

Boltzmann's entropy formula, S equals k_B times the natural log of W, relates the entropy S of a system to the number of microscopic arrangements, or microstates, W that correspond to its observed macroscopic state, with k_B the Boltzmann constant. It shows that entropy increases with the number of ways the atoms or molecules of a system can be arranged while still producing the same large scale, observable properties, connecting the microscopic and macroscopic descriptions of matter. Ludwig Boltzmann developed the idea between 1872 and 1875, and Max Planck put it into this exact equation form around 1900. It is one of the foundational relationships of statistical mechanics. This description is adapted from Wikipedia contributors under CC BY-SA 4.0; changes were made. https://creativecommons.org/licenses/by-sa/4.0/

Facts
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Object Kind
Equation 1
Origin Year
1872 1
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Attributed To

Source Boltzmann's Entropy Formula (Wikipedia)

Is Kind Of Object

Equation, Concepts

Entity-backed identity for the object-kind enum value this mathematical object already carries, resolved to a mathematics concept by an explicit value-to-entity map (phase 3 bucket conversion, docs\design_entity_backed_browse_buckets_20260928.md). The object-kind fact itself stays on the object unchanged.

Sources
1. Boltzmann's Entropy Formula (Wikipedia)
  • This reflects the original statistical entropy function introduced by Ludwig Boltzmann in 1872
  • Attributed To: Ludwig Boltzmann, Lead paragraph
    In statistical mechanics, Boltzmann's entropy formula (also known as the Boltzmann-Planck equation, not to be confused with the more general Boltzmann equation,
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