The free fall in three Physics theories


  • Edgar Luis Luna Hernández Universidad Juárez Autónoma de Tabasco, División Académica de Ciencias Básicas
  • Jorge Alejandro Bernal Arroyo Universidad Juárez Autónoma de Tabasco, División Académica de Ciencias Básicas
  • Luis Enrique Ramón Pedrero Universidad Juárez Autónoma de Tabasco, División Académica de Ciencias Básicas



Asymptotic Quantum Mechanics, Correspondence Principle, Probability Density, Relativistic Form of Newton's Second Law, Weak Equivalence Principle


This paper explores the interplay between Classical Mechanics, Relativistic Mechanics, and Quantum Mechanics through an analysis of the free fall phenomenon. We investigate the probability density functions and corresponding plots in each theory, alongside calculating the expected values of position and momentum. By observing the behavior of these results as they approach the classical limit, we confirm the hypothesis that these theories can be connected through their probability density functions. Furthermore, we discuss the validity of the correspondence principle in Quantum Mechanics, while also examining, in a non-rigorous manner, the validity of the weak equivalence principle within each of the aforementioned theories.


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How to Cite

E. L. Luna Hernández, J. A. Bernal Arroyo, and L. E. Ramón Pedrero, “The free fall in three Physics theories”, Rev. Mex. Fis. E, vol. 21, no. 1 Jan-Jun, pp. 010214 1–, Jan. 2024.