"Our research shows how electromagnetism is an inherent property of spacetime itself. In a way, spacetime itself is therefore the aether. Electric and magnetic fields represent certain local tensions or twists in the spacetime fabric. Our research shows that the Lagrangian of electrodynamics is just the Einstein-Hilbert action of general relativity; it reveals how Maxwell's equations of electromagnetism are an optimality condition for the metric of spacetime to be sufficiently flat. As Einstein's theory of general relativity provides that the metric is optimal in a sense, electromagnetism is hidden in the nonlinear differential equations of general relativity. On the other hand, this means that general relativity is a generalized theory of nonlinear electromagnetism.
John Wheeler, the famous physicist, put forward the idea that all of the material world is constructed from the geometry of the spacetime. Our research strongly supports this kind of natural philosophy. It means that the material world always corresponds to some geometric structures of spacetime. Tensions in spacetime manifest themselves as electric and magnetic fields. Moreover, electric charge relates to some compressibility properties of spacetime. Electric current seems to be a re-balancing object, which transports charge in order to keep the spacetime manifold Ricci-flat. This is aesthetically pleasing, as nature seems to strive for harmony, efficiency and simplicity.
Although our theory shows that Maxwell's equations are a condition for the spacetime to be Ricci-flat, electromagnetic fields do seem to cause special curvature in spacetime nevertheless. The relevant curvature is what is known in differential geometry as the Weyl curvature. Weyl curvature in spacetime is the local curving of spacetime in such a way that locally, volumes are preserved. It is a special kind of stretching and bending of spacetime. "
This story is part of Science X Dialog, where researchers can report findings from their published research articles. Visit this page for information about ScienceX Dialog and how to participate. More information: Jussi Lindgren et al., Maxwell's equations from spacetime geometry and the role of Weyl curvature, Journal of Physics: Conference Series (2021), doi.org/10.1088/1742-6596/1956/1/012017
John Wheeler, the famous physicist, put forward the idea that all of the material world is constructed from the geometry of the spacetime. Our research strongly supports this kind of natural philosophy. It means that the material world always corresponds to some geometric structures of spacetime. Tensions in spacetime manifest themselves as electric and magnetic fields. Moreover, electric charge relates to some compressibility properties of spacetime. Electric current seems to be a re-balancing object, which transports charge in order to keep the spacetime manifold Ricci-flat. This is aesthetically pleasing, as nature seems to strive for harmony, efficiency and simplicity.
Although our theory shows that Maxwell's equations are a condition for the spacetime to be Ricci-flat, electromagnetic fields do seem to cause special curvature in spacetime nevertheless. The relevant curvature is what is known in differential geometry as the Weyl curvature. Weyl curvature in spacetime is the local curving of spacetime in such a way that locally, volumes are preserved. It is a special kind of stretching and bending of spacetime. "
This story is part of Science X Dialog, where researchers can report findings from their published research articles. Visit this page for information about ScienceX Dialog and how to participate. More information: Jussi Lindgren et al., Maxwell's equations from spacetime geometry and the role of Weyl curvature, Journal of Physics: Conference Series (2021), doi.org/10.1088/1742-6596/1956/1/012017
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