White dwarfs and the Chandrasekhar limit: Perspectives from kinetic theory and thermodynamics
Bibliographic record
Abstract
In the standard model of gaseous stars, temperature plays an indispensable role in generating the gas pressure that prevents “gravitational collapse.” Yet, as stars age in this model, changes in thermonuclear fuel lead to decreased temperatures and associated internal pressures. Gravitational forces between gas particles begin to dominate, and stellar collapse results. The process results in ultra-dense compact objects, including white dwarfs, neutron stars, and black holes. The Chandrasekhar limit plays a central role in the theory of white dwarfs by constraining dwarf mass. These transformations have been described using thermodynamic expressions. Yet, within any given thermodynamic relation, not only must units balance on each side but so too must thermodynamic character. Whether or not equilibrium conditions are established, temperature must always be intensive in macroscopic thermodynamics and mass must always be extensive. The theory of temperatures and pressures within gaseous stars is constructed from the kinetic theory of an ideal gas, by which temperature is introduced, in combination with gravitational and Coulomb forces. The resulting thermodynamic relations impart nonintensive character to temperature, nonextensive character to mass, and thermodynamically unbalanced luminosity relations. Consequently, the theory of gravitational collapse of gaseous stars to form compact stellar objects is not valid. Stars cannot be gaseous in nature. Rather, they must be comprised of condensed matter, most likely metallic hydrogen, and therefore essentially incompressible.
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How this classification was reachedexpand
Full frame machine prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. The Gemma side is a direct model label for every work in the frame, read from the title-only record. The Codex side is a classifier learned from the 10,348 direct Codex labels and calibrated to design-weighted sample rates; fields without enough sample support carry no Codex call. Candidate is the union of the two sides; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels.
Distilled classifier scores by category (both heads)
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.001 | 0.002 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.001 | 0.000 |
| Bibliometrics | 0.001 | 0.001 |
| Science and technology studies | 0.002 | 0.008 |
| Scholarly communication | 0.003 | 0.007 |
| Open science | 0.001 | 0.002 |
| Research integrity | 0.001 | 0.003 |
| Insufficient payload (model declined to judge) | 0.002 | 0.000 |
Machine scores (provisional)
The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.
Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
score_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from itClassification
machine, unvalidatedMachine predicted; a candidate call from one source (direct Gemma or distilled Codex), not a consensus.
How this classification was reached, model by model and score by score, is at the end of the page under "How this classification was reached".