Physical Field Strength Formalism Reformulates Gravitation, Defining a Gauge-Invariant Field Strength with One Scalar Degree of Freedom
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Gravitation, long understood through the curvature of spacetime, receives a compelling new treatment in work led by L. Horoto and F. G. Scholtz. These researchers propose a radical shift, reimagining gravity not as a geometric effect, but as a genuine physical force mediated by a field strength that possesses independent degrees of freedom. This innovative approach introduces vector fields extending the concept of translation into curved spacetime, and importantly, offers a framework where dark energy arises naturally as a self-interaction energy of the gravitational field itself. The resulting theory not only recovers General Relativity under certain conditions, but also provides a potential explanation for dark matter through extended gravitational degrees of freedom, ultimately clarifying the fundamental foundations of gravitational interaction. Gravity as a Force, Not Geometry This research presents a novel reformulation of gravitation, proposing that gravity should be understood as a genuine force rather than a consequence of spacetime geometry.
Scientists have developed a framework where the gravitational interaction is described by a field strength, demonstrating that gravity possesses physical degrees of freedom beyond those traditionally considered.
The team’s approach introduces extended vector fields and a Lagrangian of Yang-Mills type, successfully incorporating a scalar degree of freedom that corresponds to the Newtonian potential. The core of this work is a tensor, representing the true gravitational field strength, defined as the difference between two connections. To extend the concept of infinitesimal translations to curved spacetime, the team employed vector fields, which serve as gravitational potentials, and used these to define a gauge-invariant field strength, demonstrating that gravity can be described as a Yang-Mills curvature for a specific symmetry group, linking it to the language of particle physics. A scalar field was introduced to accurately capture the Newtonian potential and ensure the theory aligns with observations in weak gravitational fields. The researchers constructed a combined action incorporating kinetic terms for the vector fields, minimal coupling to the scalar field, and potential terms, allowing for deviations from General Relativity. Through rigorous mathematical analysis, they demonstrated that as the gravitational coupling constant approaches zero, the theory seamlessly reduces to General Relativity, recovering the established Einsteinian framework. However, with finite values for the coupling constant, the theory introduces additional degrees of freedom, potentially explaining phenomena currently attributed to dark matter and dark energy. The findings demonstrate that dark energy can emerge as a natural consequence of the self-interaction energy within this gravitational field, and that effects currently attributed to dark matter may arise from the extended gravitational degrees of freedom. By carefully re-examining the definition of acceleration, the researchers convincingly demonstrate that the perception of gravity as a purely geometric phenomenon stems from an inappropriate choice of coordinate systems and definitions. This work offers a conceptually clarified foundation for understanding gravity and opens new avenues for investigating the fundamental nature of dark energy and dark matter.
The team acknowledges that further work is needed to fully substantiate this assertion, particularly in exploring the implications of this framework for cosmological models and high-energy physics. The methodology involved a detailed comparison between inertial and gravitational forces, meticulously distinguishing their origins and physical implications, ultimately establishing gravity as a fundamental force on par with other known interactions. 👉 More information 🗞 A formalism of Gravitation based on a Physical Field Strength 🧠 ArXiv: https://arxiv.org/abs/2512.06050 Tags: Rohail T. As a quantum scientist exploring the frontiers of physics and technology. My work focuses on uncovering how quantum mechanics, computing, and emerging technologies are transforming our understanding of reality. I share research-driven insights that make complex ideas in quantum science clear, engaging, and relevant to the modern world. Latest Posts by Rohail T.: Tidal Love Numbers Reveal Nonzero Responses in Regular Black Holes, Offering a Window into New Physics December 10, 2025 Thermal Ionization of Impurity-Bound Quasiholes Demonstrates Phase Transition in Fractional Quantum Hall Effect December 10, 2025 Non-hermitian Bose-Hubbard-like Quantum Models Demonstrate Efficient Matrix Continued Fraction Forms for Green’s Functions December 10, 2025