Astrophysics and Space Science

, Volume 337, Issue 1, pp 363–365 | Cite as

Universality of the self gravitational potential energy of any fundamental particle

  • Antonio Alfonso-Faus
Original Article


Using the relation proposed by Weinberg in 1972, combining quantum and cosmological parameters, we prove that the self gravitational potential energy of any fundamental particle is a quantum, with physical properties independent of the mass of the particle. It is a universal quantum of gravitational energy, and its physical properties depend only on the cosmological scale factor R and the physical constants and c. We propose a modification of the Weinberg’s relation, keeping the same numerical value, but substituting the cosmological parameter H/c by 1/R.


Cosmology Quantum mechanics Gravitational energy Cosmological scale factor Weinberg’s relation 


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Copyright information

© Springer Science+Business Media B.V. 2011

Authors and Affiliations

  1. 1.Escuela de Ingeniería Aeroespacial, E.U.I.T. AeronáuticaUniversidad Politécnica de MadridMadridSpain

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