A speculative path integral prescription for 'statistical gravity' that ties an effective temperature to the stress-energy trace, with the ideal gas law imposed rather than predicted.
Hilbert, Die Grundlagen der Physik, Nachrichten von d er Gesellschaft der Wissenschaften zu G¨ ottingen – Mathematisch- Physikalische Klasse 3, 395 (1915)
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Statistical Gravity through Affine Quantization
A speculative path integral prescription for 'statistical gravity' that ties an effective temperature to the stress-energy trace, with the ideal gas law imposed rather than predicted.