The Physical Significance of the Unification of Curvature and Angular Momentum: Explaining Celestial Motion and Cosmic Evolution Based on General Relativity

Author: Zhang Suhang, Luoyang School of Mathematics

I. Core Theoretical Foundation

This paper is grounded in the existing research conclusions of the higher-dimensional geometry and multi-origin theoretical system. It does not repeat the mathematical derivations, but rather explores the principle of the unity of spacetime curvature and angular momentum from the perspectives of physical essence, astronomical observation, and theoretical self-consistency. Building on the fundamental spacetime logic of general relativity, it attempts to provide a coherent theoretical interpretation of celestial dynamics and large-scale cosmic evolution.

General relativity established the core physical picture that "the curvature of spacetime determines the motion of matter." In traditional astrophysics and cosmology, this theory has mostly been applied to explain gravitational lensing, spacetime distortion, and other macroscopic spacetime effects, while the intrinsic connection between spacetime curvature and celestial rotation or system angular momentum has long lacked a fully coherent treatment. As a result, the dynamical laws of celestial rotation, galactic motion, and overall cosmic evolution lack a unified underlying logical foundation. The principle of the unity of curvature and angular momentum can serve as a supplement and refinement to fill this theoretical gap.

From the perspective of physical essence, spacetime curvature is the intuitive geometric representation of the gravitational field and the fundamental spacetime background that carries the angular momentum of a gravitational system. The rotational and orbital states of celestial bodies, the maximum angular momentum a system can sustain, and its long-term dynamical evolution trends are all deeply related to the curvature properties of the spacetime in which they reside. The strength of spacetime curvature fundamentally constrains the dynamical activity and angular momentum capacity of gravitational systems, and the two exhibit an intrinsically co-originating and dynamically coupled relationship.

II. Reasonable Explanation of Celestial Motion Phenomena by the Unification Principle

Combined with existing astronomical observations, the unified logic of curvature and angular momentum is compatible with multi-scale celestial motion laws and provides a self-consistent, unified theoretical explanation for various typical observational phenomena.

On the galactic scale, observations generally show that celestial bodies farther from the galactic center exhibit an overall decreasing trend in both rotational and orbital velocities. Existing research usually attributes this phenomenon to various local factors such as molecular cloud evolution, magnetic fluid braking, and local gravitational perturbations, which are mostly fitting explanations for local phenomena. In comparison, the unification principle of curvature and angular momentum provides a more fundamental physical interpretation: the spacetime curvature in the galactic center region is stronger, and the spacetime torsion effect is more pronounced. The corresponding spacetime structure can carry higher system angular momentum, so the overall motion velocity of celestial bodies is higher. As the distance from the galactic center increases, spacetime curvature gradually decays, the spacetime geometric structure tends to flatten, and the angular momentum capacity of the system decreases accordingly. The rotational and orbital velocities of celestial bodies naturally show a weakening trend.

Regarding the orbital evolution of the Sun in the galaxy, astronomical elemental abundance tracing observations indicate that since the Sun's formation, its orbital radius has shown a continuous outward migration, and its orbital angular velocity has exhibited a long-term decreasing trend. Traditional research mostly attributes this phenomenon to local gravitational perturbations generated by galactic spiral arms and the galactic bar, which struggles to explain the long-term and universal nature of this evolutionary trend. According to the unification principle in this paper, this evolutionary characteristic has a systematic physical origin: the large-scale spacetime curvature of the universe exhibits an overall decay trend, which drives the continuous change of the angular momentum capacity conditions of local gravitational systems. The macroscopic manifestation is the slow outward expansion of celestial orbits and the gradual decrease of orbital angular velocity, which is a local dynamical response corresponding to large-scale spacetime evolution.

Extending to the stellar and planetary scales, celestial bodies throughout the universe generally exhibit a long-term slow decline in rotation rate. Existing theories usually introduce various independent evolutionary mechanisms such as tidal friction, magnetic braking, and galactic wind damping for different celestial systems. The applicability of each explanation is relatively limited, and the overall system is fragmented. The unification principle of curvature and angular momentum can provide a consistent explanation for the rotational deceleration evolution laws of different types of celestial bodies through a unified underlying physical logic, thereby simplifying the existing dynamical explanation system.

III. Underlying Interpretation of Cosmic Expansion by the Unification Principle

Modern cosmological observations confirm that the universe is in a state of continuous expansion. Based on the unified correlation logic of curvature and angular momentum, a self-consistent causal chain of cosmic evolution can be constructed: continuous cosmic expansion → gradual decrease in the average density of matter throughout the universe → slow decay of large-scale spacetime curvature → systematic changes in the angular momentum capacity conditions of gravitational systems at all levels → overall long-term deceleration trend in the rotational and orbital motion of celestial bodies.

This theoretical logic can effectively bridge large-scale cosmic evolution and local celestial dynamics. In the traditional cosmological framework, cosmic spatial expansion and the internal motion of local gravitational systems such as galaxies and stars are usually regarded as relatively independent evolutionary processes. It is generally believed that cosmic expansion does not significantly affect the internal dynamical characteristics of gravitationally bound systems, which makes it difficult to form a unified picture of physical laws across large and small scales.

The unified theoretical framework proposed in this paper can remedy this theoretical fragmentation: cosmic expansion is not only reflected in the stretching of spatial scales, but more fundamentally corresponds to the slow evolution of global spacetime curvature. The deceleration of local celestial motion is not merely a local dynamical dissipation process, but a concrete manifestation of the overall spacetime geometric evolution of the universe in small-scale systems. Large-scale cosmic evolution and local celestial dynamics share a common origin and common laws, effectively enhancing the self-consistency and integrity of the theoretical system.

IV. Systematic Limitations of Traditional Astrophysics and Cosmology

A comprehensive review of existing classical theoretical systems reveals that their explanatory frameworks for celestial and cosmic evolution exhibit limitations of systematic dispersion and lack of unified underlying logic, with relatively high overall theoretical redundancy.

First, the dynamical explanation mechanisms are relatively dispersed. Existing theories have developed more than ten independent physical explanation models for different phenomena such as planetary rotation evolution, stellar rotation decay, galactic orbital distribution, and large-scale cosmic evolution. Mechanisms such as tidal friction, magnetic braking, spiral arm resonance, medium damping, and spatial expansion are each independent, lacking unified underlying physical support. They are mostly supplementary fitting models for specific observational phenomena, making the overall theoretical system relatively complex in structure.

Second, there is fragmentation in the explanation of spacetime scales. Traditional research approaches discuss cosmic macroscopic evolution laws and celestial local dynamical motion separately, making it difficult to establish an intrinsic causal connection between them. It cannot uniformly explain the synchronicity between cosmic expansion and the long-term deceleration evolution of various celestial bodies, and the overall theoretical unity needs improvement.

Third, physical attribution tends toward phenomenology. Most existing explanations attribute the deceleration evolution of celestial bodies to various external local perturbations and regard cosmic expansion as an inherent property of space itself. They mostly remain at the level of phenomenological induction and fitting, and have not yet established a root-cause explanation from the underlying perspective of the coupled evolution of spacetime curvature and angular momentum. Their predictive and universal applicability is relatively limited.

V. Conclusion

The unification principle of curvature and angular momentum, based on the spacetime theory of general relativity and relying on a unified and simple underlying physical logic, connects the two major research fields of celestial dynamics and cosmic evolution.

This theory is well compatible with various existing astronomical observation features. It can provide a unified and self-consistent physical interpretation for typical phenomena such as the spatial distribution of galactic rotation velocities, the long-term evolution of the Sun's orbit, the general rotational deceleration of various celestial bodies, and large-scale cosmic expansion. Compared with the traditional multi-layered patchwork and multi-mechanism classical theoretical system, this theory follows the principle of simplicity in natural laws and explains multi-scale cosmic evolution phenomena with a unified physical mechanism, which can effectively reduce theoretical redundancy. It may provide a new theoretical reference perspective for astrophysics and modern cosmology.