28 September 2024

Refining Models Integrating Classical and Relativistic Concepts:


Soumendra Nath Thakur
ORCiD: 0000-0003-1871-7803
28-09-2024

In the context of extended classical mechanics, the integration of classical and relativistic concepts presents a significant challenge. While both frameworks utilize the concept of mass, their operational domains are distinct and incompatible in certain aspects. Classical kinetic energy primarily deals with macroscopic systems, where gravitational forces dominate, while relativistic kinetic energy is confined to high-energy processes at the nuclear level, governed by the mass-energy equivalence principle.

To refine models that seek to integrate these two perspectives, it is crucial to recognize the limitations inherent in each domain. Classical mechanics provides a robust framework for understanding gravitational dynamics and motion on a large scale, yet it falls short in accounting for phenomena such as dark energy and dark matter, which are more adequately described by relativistic principles. Conversely, relativistic kinetic energy models struggle to incorporate gravitational interactions that are pivotal in macroscopic systems.

Thus, rather than striving for a singular model that merges these concepts, a more fruitful approach may involve developing a multi-faceted framework that delineates the conditions under which each type of kinetic energy applies. This would involve identifying the specific scenarios in which classical mechanics is applicable, such as planetary motion, and those that necessitate a relativistic approach, such as nuclear reactions.

By refining our understanding of the distinct domains of mechanical and relativistic kinetic energy, we can enhance the predictive power of our models and foster a more nuanced comprehension of the interplay between mass, energy, and gravitational dynamics across both local and cosmic scales. Such refinement will be essential as we continue to explore the implications of dark energy, negative apparent mass, and the overall structure of the universe.

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