Generalized Thermodynamics, which formulates the most universals laws of nature, assumes separation of all fields variables into conservable 'extensors' E and 'intensials' P linked by energy dU = PdE equation. Spacetime, like any other phenomena, should have its own extensor.
What it would be?
In 1960-1990s Soviet-Belarusian scientist A.I. Veinik (author of 20 monographs) noted that time is not an extensor, rather intensial. He introduced chronal field theory where intensial (chronal) is frequency reciprocal of time (1/t) which should have corresponding (chronor) X following the law of conservation.
Does this theory correlates with modern research in this area?
Have a look at https://arxiv.org/pdf/1302.7291.pdf
Article A “Thermodynamic” Model of Central Commands Coming to the Mu...
The thermodynamics of processes, either reversible or irreversible, is a continuum mechanical theory of matter and energy and their exchange between different parts of the system, and as such it makes no direct reference to the molecules constituting the substance under consideration. In thermodynamics the nature of molecules composing the continuum matter manifests itself quite indirectly in the constitutive equations for the substance, such as the equation of state, the caloric equation of state, the material functions such as viscosity, thermal conductivity, and diffusion coefficients, and other thermophysical properties. The constitutive equation for a given macroscopic property of a substance contains parameters reflecting the nature of molecules in the substance, but unlike statistical mechanics thermodynamics does not start with individual molecules in its treatment of macroscopic properties. The forms and the values of the parameters in the constitutive equations of different substances for a given property, however, can be classified into different categories according to homologous series of substances, and thermodynamics distinguishes molecular systems in such a sense, but the basic mathematical structure of thermodynamics, either reversible or irreversible, remains generic to continuum matter. In this universality of its mathematical structure conforming to the laws of thermodynamics lies the power, usefulness, and formal beauty of thermodynamics for treating macroscopic phenomena and relating them to each other. Our principal objective is then to acquire a thermodynamic theory of irreversible processes in a form as universal as possible so that it applies to diverse macroscopic phenomena in equally diverse systems in strict conformity with the laws of thermodynamics.
Thanks, Ozodbek. My question was about Generalised Thermodynamic (GT) studying interrelations between different phenomena in nature (not only thermal processes) and whether space and time are the GT categories having its own extensors and intensials, as A.I. Veinik suggested (https://ru.wikipedia.org/wiki/%D0%92%D0%B5%D0%B9%D0%BD%D0%B8%D0%BA,_%D0%90%D0%BB%D1%8C%D0%B1%D0%B5%D1%80%D1%82_%D0%98%D0%BE%D0%B7%D0%B5%D1%84%D0%BE%D0%B2%D0%B8%D1%87).
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