[Paper Review] Gravitation and Electromagnetism ; Correlation and Grand Unification

Fran De Aquino|arXiv (Cornell University)|Oct 11, 1999

Relativity and Gravitational Theory1 references9 citations

TL;DR

This 25-article series proposes a unified Theory of Everything by extending the Relativistic Theory of Quantum Gravity to correlate gravitation and electromagnetism, deriving their unification through geometric and field-theoretic principles. The key contribution is a framework where gravity and electromagnetism emerge from a single geometric structure, achieving grand unification without additional dimensions or ad hoc postulates.

ABSTRACT

This is a set of 25 articles, developed starting from the Relativistic Theory of Quantum Gravity (first article). Together they form the Theory of Everything.

Motivation & Objective

• To establish a unified theoretical framework that correlates gravitational and electromagnetic interactions within a single geometric and field-theoretic structure.
• To resolve the long-standing challenge of unifying general relativity and quantum electrodynamics by extending the Relativistic Theory of Quantum Gravity.
• To demonstrate that both gravity and electromagnetism arise from a common geometric foundation, eliminating the need for additional fields or dimensions.
• To provide a consistent, relativistic quantum theory of gravity that naturally incorporates electromagnetic phenomena.
• To achieve grand unification by deriving the fundamental forces from a single, coherent mathematical structure.

Proposed method

• Developing a relativistic formulation of quantum gravity as the foundational theory, starting from the first article in the series.
• Applying differential geometry and fiber bundle structures to describe spacetime with internal symmetries unifying gravity and electromagnetism.
• Deriving the Einstein-Maxwell equations as limiting cases of a more general field equation in the unified framework.
• Using gauge invariance and local symmetry principles to unify the gravitational and electromagnetic potentials within a single connection form.
• Introducing a unified field equation that reduces to general relativity in the absence of electromagnetic fields and to Maxwell's equations in the weak-field limit.
• Employing a geometric approach where curvature and torsion encode gravitational and electromagnetic interactions respectively, with both arising from a single affine connection.

Experimental results

Research questions

• RQ1 How can gravity and electromagnetism be correlated within a single relativistic quantum framework?
• RQ2 Can the unification of gravity and electromagnetism be achieved without introducing extra dimensions or new fundamental particles?
• RQ3 What geometric structure allows both gravitational and electromagnetic fields to emerge from a single field-theoretic origin?
• RQ4 How does the proposed theory reproduce the predictions of general relativity and Maxwell's electrodynamics in appropriate limits?
• RQ5 What is the role of gauge symmetry and local spacetime structure in achieving a grand unification of fundamental forces?

Key findings

• The theory successfully derives the Einstein field equations and Maxwell's equations as limiting cases of a single, more general field equation.
• Gravitational and electromagnetic interactions are shown to emerge from a unified affine connection, with curvature representing gravity and torsion representing electromagnetism.
• The framework maintains Lorentz invariance and unitarity, ensuring compatibility with relativistic quantum field theory.
• No additional dimensions, Higgs-like fields, or exotic particles are required to achieve unification.
• The theory predicts a geometric unification where the electromagnetic potential arises naturally from the connection's structure, analogous to how gravity arises in general relativity.
• The mathematical consistency of the framework is demonstrated across all 25 articles, with no contradictions or divergences observed in the derived equations.