Beltrán Jiménez, JoséBorislavov Vassilev, TeodorJaramillo Garrido, DarioLópez Maroto, AntonioMartín Moruno, María Del Prado2026-01-232026-01-232026Jiménez, J. B., Vasilev, T. B., Jaramillo-Garrido, D., Maroto, A. L., & Martín-Moruno, P. (2025). K-nonizing. Physics Letters B, 140118.0370-269310.1016/j.physletb.2025.140118https://hdl.handle.net/20.500.14352/130895© 2025 The Author(s) PIPF-2023/TEC-29931We unveil the dynamical equivalence of field theories with non-canonical kinetic terms and canonical theories with a volume element invariant under transverse diffeomorphisms. The proof of the equivalence also reveals a subtle connection between the standard Legendre transformation and the so-called Clairaut equation. Explicit examples of canonizable theories include classes of k-essence, non-linear electrodynamics, or f (R) theories. The equivalence can also be extended to the class of mimetic theories.engAttribution 4.0 Internationalhttp://creativecommons.org/licenses/by/4.0/journal article1873-2445https://doi.org/10.1016/j.physletb.2025.140118https://www.sciencedirect.com/science/article/pii/S0370269325008755open access51-73530.1General relativityAlternative theories of gravityFísica-Modelos matemáticos2212 Física Teórica