International Journal of Astrophysics and Space Science

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Gravitational “Constant” G as a Function of Quantum Vacuum Energy Density and its Dependence on the Distance from Mass

Received: 30 September 2014    Accepted: 05 October 2014    Published: 07 October 2014
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Abstract

In a previous paper the author has shown the gravitational constant ruling Newton’s law can be expressed as a function of quantum variables related to Zero Point Field as Planck’s time and quantum vacuum energy density. On the other hand the quantum vacuum energy density has been proved to be modified by the presence of a mass within the volume occupied by the mass itself and in the space surrounding it. Furthermore, according to the Einstein’s Theory of General Relativity the same mass determines a gravitational potential that alters the speed of light, the clock’s rate and the particle size as a function of the distance the distance from the center of mass. All these considerations strongly suggest that also the constant G could be expressed as a function of quantum vacuum energy density somehow depending on the distance from the mass whose presence modifies the Zero Point Field energy structure. In this paper, starting from the idea of inertial mass of a body as the seat of standing waves of Zero Point Field and from the picture of a fluid-like model of space, it has been established a model in which the gravitational constant G is expressed as a function of Quantum Vacuum energy density in turn depending on the radial distance from center of the mass originating the gravitational field, supposed as spherically symmetric. The proposed model suggests the gravitational “constant” G could be not truly unchanging but varying as a function of the distance from the mass originating gravitational potential itself, whose approximate analytic expression has been also found and discussed. Finally a possible experimental test of the model, making use of precise measurements on a satellite has been outlined. The proposed theoretical model could be able to give valuable insights into a deeper understanding of the true origin and dynamics of gravity as well as the theoretical basis for unthinkable applications related, for example, to the field of gravity control and space propulsion.

DOI 10.11648/j.ijass.s.2014020601.12
Published in International Journal of Astrophysics and Space Science (Volume 2, Issue 6-1, December 2014)

This article belongs to the Special Issue Quantum Vacuum, Fundamental Arena of the Universe: Models, Applications and Perspectives

Page(s) 10-17
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Quantum Vacuum Energy Density, Planck Scale, General Theory of Relativity, Gravitational Constant G, Relativistic Gravitational Potential, Standing Waves, Fluid-like Model of Space, ZPF Inertia Hypothesis

References
[1] CODATA, “Internationally recommended values of the Fundamental Physical Constants”, 2010.
[2] L.M. Caligiuri, T. Musha, “Quantum Vacuum Energy, Gravity Manipulation and the Force generated by the Interaction between High – Potential Electric Fields and ZPF”, Journal of Astrophysics and Space Science, Vol. 2, No. 1, pp. 1 – 9 (2014). DOI: 10.11648/j.ijass.s.20140201.11.
[3] L.M. Caligiuri, “Quantum Vacuum Energy Density Dynamics and its consequences on Inertia and Gravitation”, submitted for publication.
[4] A.D. Sakharov, “Vacuum Fluctuation in Curved Space and the Theory of Gravitation”, General Relativity and Gravitation, Vol. 32, No. 2, pp. 365 – 367 (2000).
[5] H.E. Puthoff, “Gravity as a zero-point-fluctuation force”, Phys. Rev. A, Vol.39, No.5, pp. 2333 – 2342 (1989).
[6] B.Haish, R.Rueda, H.E. Puthoff, “Inertia as a zero-point-field Lorenz force”, Physical Review. A, Vol.49, No.2, pp. 678-694 (1994).
[7] L.M. Caligiuri, “The Emergence of Space – Time and Matter: Entropic or Geometro – Hydrondynamic Process ? A Comparison and Critical Review”, Quantum Matter, Vol. 3, No. 3, pp. 249 – 255 (2014). DOI: http:/dx.doi.org/10.1166/qm.2014.1120.
[8] L.M. Caligiuri, A. Sorli, “Relativistic Energy and Mass Originate from Homogeneity of Space and Time and from Quantum Vacuum Energy Density”, American Journal of Modern Physics, Vol. 3, No. 2, pp. 51 – 59 (2014). DOI: 10.11648/j.ajmp.20140302.14.
[9] L.M. Caligiuri, A. Sorli, “Gravity Originates from Variable Energy Density of Quantum Vacuum”, American Journal of Modern Physics, Vol. 3, No. 3, pp. 118 – 128 (2014). DOI: 10.11648/j.ajmp.20140303.11.
[10] I.I. Shapiro, “Fourth Test of General Relativity: Preliminary Results”, Phys. Rev. Lett., Vol. 20, pp. 1265-1269 (1968).
[11] R.R. Hatch, GPS Solutions 8(2), 67 (2004).
[12] H.E. Montanus, Phys. Essays 10, 666 (1997).
[13] H.E. Puthoff, H. E. Puthoff, "Polarizable-Vacuum (PV) Approach to General Relativity," Found. Phys. Vol. 32, pp. 927-943 (2002)
[14] A. Rueda, B. Haisch, “Gravity and the Quantum Vacuum Inertia Hypothesis”, arXiv:gr-qc/0504061v3 (2005).
[15] J. Mould, S.A. Uddin, “Constraining a possible variation of G with Type Ia Supernovae”, arXiv:1402.1534v2 [astro-ph.CO].
Author Information
  • Foundation of Physics Research Center, FoPRC, via Resistenza 87053 Celico (CS), Italy; University of Calabria, via P. Bucci 87036 Arcavacata di Rende (CS), Italy

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    Luigi Maxmilian Caligiuri. (2014). Gravitational “Constant” G as a Function of Quantum Vacuum Energy Density and its Dependence on the Distance from Mass. International Journal of Astrophysics and Space Science, 2(6-1), 10-17. https://doi.org/10.11648/j.ijass.s.2014020601.12

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    Luigi Maxmilian Caligiuri. Gravitational “Constant” G as a Function of Quantum Vacuum Energy Density and its Dependence on the Distance from Mass. Int. J. Astrophys. Space Sci. 2014, 2(6-1), 10-17. doi: 10.11648/j.ijass.s.2014020601.12

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    Luigi Maxmilian Caligiuri. Gravitational “Constant” G as a Function of Quantum Vacuum Energy Density and its Dependence on the Distance from Mass. Int J Astrophys Space Sci. 2014;2(6-1):10-17. doi: 10.11648/j.ijass.s.2014020601.12

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  • @article{10.11648/j.ijass.s.2014020601.12,
      author = {Luigi Maxmilian Caligiuri},
      title = {Gravitational “Constant” G as a Function of Quantum Vacuum Energy Density and its Dependence on the Distance from Mass},
      journal = {International Journal of Astrophysics and Space Science},
      volume = {2},
      number = {6-1},
      pages = {10-17},
      doi = {10.11648/j.ijass.s.2014020601.12},
      url = {https://doi.org/10.11648/j.ijass.s.2014020601.12},
      eprint = {https://download.sciencepg.com/pdf/10.11648.j.ijass.s.2014020601.12},
      abstract = {In a previous paper the author has shown the gravitational constant ruling Newton’s law can be expressed as a function of quantum variables related to Zero Point Field as Planck’s time and quantum vacuum energy density. On the other hand the quantum vacuum energy density has been proved to be modified by the presence of a mass within the volume occupied by the mass itself and in the space surrounding it. Furthermore, according to the Einstein’s Theory of General Relativity the same mass determines a gravitational potential that alters the speed of light, the clock’s rate and the particle size as a function of the distance the distance from the center of mass. All these considerations strongly suggest that also the constant G could be expressed as a function of quantum vacuum energy density somehow depending on the distance from the mass whose presence modifies the Zero Point Field energy structure. In this paper, starting from the idea of inertial mass of a body as the seat of standing waves of Zero Point Field and from the picture of a fluid-like model of space, it has been established a model in which the gravitational constant G is expressed as a function of Quantum Vacuum energy density in turn depending on the radial distance from center of the mass originating the gravitational field, supposed as spherically symmetric. The proposed model suggests the gravitational “constant” G could be not truly unchanging but varying as a function of the distance from the mass originating gravitational potential itself, whose approximate analytic expression has been also found and discussed. Finally a possible experimental test of the model, making use of precise measurements on a satellite has been outlined. The proposed theoretical model could be able to give valuable insights into a deeper understanding of the true origin and dynamics of gravity as well as the theoretical basis for unthinkable applications related, for example, to the field of gravity control and space propulsion.},
     year = {2014}
    }
    

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    AB  - In a previous paper the author has shown the gravitational constant ruling Newton’s law can be expressed as a function of quantum variables related to Zero Point Field as Planck’s time and quantum vacuum energy density. On the other hand the quantum vacuum energy density has been proved to be modified by the presence of a mass within the volume occupied by the mass itself and in the space surrounding it. Furthermore, according to the Einstein’s Theory of General Relativity the same mass determines a gravitational potential that alters the speed of light, the clock’s rate and the particle size as a function of the distance the distance from the center of mass. All these considerations strongly suggest that also the constant G could be expressed as a function of quantum vacuum energy density somehow depending on the distance from the mass whose presence modifies the Zero Point Field energy structure. In this paper, starting from the idea of inertial mass of a body as the seat of standing waves of Zero Point Field and from the picture of a fluid-like model of space, it has been established a model in which the gravitational constant G is expressed as a function of Quantum Vacuum energy density in turn depending on the radial distance from center of the mass originating the gravitational field, supposed as spherically symmetric. The proposed model suggests the gravitational “constant” G could be not truly unchanging but varying as a function of the distance from the mass originating gravitational potential itself, whose approximate analytic expression has been also found and discussed. Finally a possible experimental test of the model, making use of precise measurements on a satellite has been outlined. The proposed theoretical model could be able to give valuable insights into a deeper understanding of the true origin and dynamics of gravity as well as the theoretical basis for unthinkable applications related, for example, to the field of gravity control and space propulsion.
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