A machian request for the equivalence principle in extended gravity and nongeodesic motion
- Authors: Licata I.1,2, Corda C.3,4, Benedetto E.5
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Affiliations:
- Institute for Scientific Methodology
- School of Advanced International Studies on Theoretical and Nonlinear Methodologies of Physics
- Dipartimento di Fisica, Scuola Superiore di Studi
- International Institute for Applicable Mathematics and Information Sciences (IIAMIS)
- Department of Engineering
- Issue: Vol 22, No 1 (2016)
- Pages: 48-53
- Section: Article
- URL: https://journals.rcsi.science/0202-2893/article/view/176006
- DOI: https://doi.org/10.1134/S0202289316010102
- ID: 176006
Cite item
Abstract
Starting from the origin of Einstein’s general relativity (GR), the request of Mach on the theory’s structure has been the core of the foundational debate. That problem is strictly connected with the nature of the mass-energy equivalence. It is well known that this is exactly the key point that Einstein used to realize a metric theory of gravitation having an unequalled beauty and elegance. On the other hand, the current requirements of particle physics and the open questions within extended gravity theories request a better understanding of the Equivalence Principle (EP). TheMOND theory byMilgrom proposes a modification of Newtonian dynamics, and we consider a direct coupling between the Ricci curvature scalar and the matter Lagrangian showing that a nongeodesic ratio mi/mg can be fixed and that Milgrom’s acceleration is retrieved at low energies.
About the authors
Ignazio Licata
Institute for Scientific Methodology; School of Advanced International Studies on Theoretical and Nonlinear Methodologies of Physics
Author for correspondence.
Email: ignaziolicata@ejtp.info
Italy, Palermo; Bari, I-70124
Christian Corda
Dipartimento di Fisica, Scuola Superiore di Studi; International Institute for Applicable Mathematics and Information Sciences (IIAMIS)
Email: ignaziolicata@ejtp.info
Italy, Via Tagliamento 45, Roma, 00188; Adarsh Nagar, Hyderabad, 500 463
Elmo Benedetto
Department of Engineering
Email: ignaziolicata@ejtp.info
Italy, Piazza Roma 21, Benevento, 82100