arXiv:2505.17158v1 Announce Type: new
Abstract: We study spinors in the framework of general relativity, starting from the Dirac field Lagrangian in the approximation of weak gravity. We focus on how fermions couple to gravity through the spin connection, and we analyze these couplings by analogy with the Ginzburg-Landau model and the Yukawa interaction known from the Higgs mechanism. By solving the field equations, we explore how these couplings affect the spacetime metric. In particular, torsion generated by fermionic spin currents naturally emerges and leads to the breaking of Lorentz symmetry. As a consequence, gravity acquires a mass and fermions gain additional mass contributions through their interaction with this gravitational field. These effects are localized and diminish quickly with distance. Our model offers an alternative explanation to phenomena usually attributed to dark matter and dark energy. We link these cosmological effects to chirality-flip processes of Majorana neutrinos interacting with a massive graviton. Right-handed Majorana neutrinos, which are sterile under Standard Model interactions, generate repulsive gravitational curvature and act as a source of dark energy, while left-handed neutrinos contribute to attractive gravitational effects akin to dark matter. The spin-gravity coupling modifies the curvature of spacetime, influencing galaxy rotation, the accelerated expansion of the universe, and the bending of light. In short, the intrinsic spin of fermions, when coupled to gravity via torsion, changes gravity from a long-range, massless force to a short-range, massive one. This new framework provides fresh insights into fundamental physics and cosmology, potentially explaining dark matter and dark energy phenomena through spin-related gravitational effects.
Future Roadmap: Challenges and Opportunities
After examining the conclusions of the study on spinors in the framework of general relativity, it is clear that there are many exciting avenues for further exploration in the realm of fundamental physics and cosmology. Below is a roadmap outlining potential challenges and opportunities on the horizon:
Challenges:
- Experimental Verification: One of the key challenges moving forward will be to experimentally verify the predictions made by this new framework. Developing experimental setups to test the effects of spin-gravity coupling on spacetime curvature and gravitational interactions will be crucial.
- Theoretical Extensions: Further theoretical work will be needed to expand on the implications of torsion generated by fermionic spin currents and its effects on gravitational mass. Developing a more comprehensive understanding of these phenomena will be essential for building a complete picture.
- Cosmological Consequences: Exploring the cosmological consequences of this new framework, particularly in relation to dark matter and dark energy, will present challenges in observational astronomy and theoretical cosmology. Understanding how these spin-related gravitational effects manifest on a cosmic scale will be a key area of focus.
Opportunities:
- Alternative Explanations: This new framework offers an alternative explanation for phenomena typically attributed to dark matter and dark energy. Exploring the implications of spin-gravity coupling could lead to a paradigm shift in our understanding of the universe.
- Technological Applications: The insights gained from this study could have potential technological applications in areas such as gravitational wave detection, precision cosmology, and quantum gravity research. These applications may open up new possibilities for innovation and discovery.
- Interdisciplinary Collaboration: Collaboration across multiple disciplines, including particle physics, general relativity, and cosmology, will be essential for advancing research in this field. Bringing together experts from diverse backgrounds could lead to new breakthroughs and insights.
In conclusion, the study of spinors in the framework of general relativity has opened up a wealth of possibilities for further exploration and discovery. By addressing the challenges and seizing the opportunities presented by this new framework, researchers have the potential to make significant strides in our understanding of fundamental physics and cosmology.