Exergic field theory: fundamental equations, invariants, and physical consequences

The proposed work formulates the foundations of Exergic Field Theory (EFT), a new fundamental theoreticalphysical paradigm, in which exergy is considered as a primary physical quantity that determines the dynamics, structure, and evolution of cosmic systems at all scales. Unlike traditional approaches, where exergy is treated as an engineering or thermodynamic characteristic, EFT introduces exergy as a field invariant related to the geometry of spacetime, local gradients of available energy, and the structure of physical interactions. According to this theory, the exergnetic field acts as a universal mediator between thermodynamics, gravity, and cosmological evolution, providing a unified formalism for describing processes from microscopic to cosmological scales.

The work begins with an analysis of the limitations of the standard cosmological model ΛCDM and the classical general theory of relativity, which, despite their success, require the introduction of external entities – dark matter, dark energy, inflationary field – without a strict physical origin. It is shown that many observed phenomena, including the stratification of cosmic objects, the large-scale structure of the universe, as well as the thermodynamic properties of astrophysical systems, can be naturally explained through the exergetic formalism, without resorting to additional hypothetical components. In this context, exergy is considered a fundamental structural parameter that determines the degree of energy availability for performing work in gravitational and cosmological systems.

In the central part of the article, the Lagrangian of the exergetic field is introduced, based on the variational principle, which combines geometric and thermodynamic aspects. It is shown that the exergetic field can be described by a tensor structure that includes scalar, vector, and tensor components, each of which is responsible for a specific class of physical processes. Equations of motion are derived, similar to the Einstein equations, but containing additional terms that reflect local and global exergetic gradients. These equations lead to the emergence of new integrals of motion and invariants that have no counterparts in classical gravity, but naturally explain the observed stratification of cosmic objects, scale inhomogeneity, and stability of structures.

Special attention is paid to exergetic invariants that determine the stable states of space systems. It is shown that such invariants can serve as natural criteria for the formation of planetary systems, small body belts, comet clouds, and large astrophysical structures. In particular, the connection between the exergetic field and the dynamics  of the Kuiper Belt and the Oort Cloud is analyzed, where exergetic gradients determine the distribution of masses, orbital characteristics, and long-term evolution of objects. These results demonstrate that exergetic formalism can explain  a wide range of observed phenomena without introducing additional hypothetical entities.

Next, the connection of the exergy field with the thermodynamics of the Universe is considered. It is shown that exergy can be interpreted as a measure of the structural order of cosmic systems, and its gradients as a driving force of evolution. In this context, the exergy field acts as a natural bridge between microscopic statistical physics and macroscopic cosmology. A new interpretation of cosmological evolution is proposed, in which the expansion  of the universe, the formation of structures, and the thermodynamic arrow of time are interconnected manifestations  of exergetic dynamics. This approach provides a new perspective on the problem of entropy in cosmology, suggesting  a mechanism in which exergy acts as a regulator of structural complexity.

An important part of the work is the analysis of the physical consequences of EFT. It has been shown that  the theory predicts a number of observable effects, including: (1) the natural appearance of large-scale stratification  of cosmic objects; (2) the existence of stable exergetic layers that determine the distribution of masses; (3) the possibility of explaining the anomalies in the rotation of galaxies without introducing dark matter; (4) the appearance of new types of wave solutions, such as exergetic waves, which can be detected experimentally. These waves have unique properties that distinguish them from gravitational waves, and they can be detected using video tomography methods developed  in previous works by the author.

A separate section is devoted to the discussion of experimental and observational possibilities for testing EFT. Potential methods for registering exergetic waves are considered, including multi-channel interferometric systems, optical and radio frequency detectors, as well as methods for reconstructing signals based on video tomographic algorithms. It is shown that modern technologies make it possible to begin experimental verification of a number of EFT predictions in the near future. In addition, space missions are being discussed in which exergetic effects can be most pronounced, such as missions to the Kuiper Belt, the Oort Cloud, and the interstellar medium.

The final part of the article discusses the place of Exergic Field Theory in modern physics. It is shown that EFT does not contradict existing theories, but rather extends them by offering a new fundamental level of description that unites thermodynamics, gravity, and cosmology. The theory has a high level of explanatory power, mathematical rigor, and a wide range of observable consequences. It forms the basis for further development in both fundamental physics and applied fields, from space engineering to energy technologies. This work completes the formation of the theoretical core of the exergetic paradigm and paves the way for a unified physical picture in which the structure and evolution  of the universe are determined by the universal laws of exergetic dynamics.

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