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Expansion as a consequence of a rest-mass erosion theory


I propose a new paradigm to understand expansion. In a non-preserving mass theory, space expansion is driven by a slow continuous mass (or energy) erosion process. I show that this proposal is formally equivalent to an additional cosmic “evolution” force, which was suggested previously to explain the flat rotation curves of spiral galaxies.

The energy equation shows how expansion is related to gravitation and mass erosion.

According to this theory, the fundamental rectilinear movement is exponential in time. More generally, it is also shown how space, time and mass are inter-dependent. A cosmological equation is then obtained, similar to the FRW equation. This proposal confirms Masreliez’s SEC theory and is a candidate to replace dark matter and dark energy hypotheses.

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  1. 1.

    This parameter λ has been abusively noted h 2 in my last paper (Fleuret 2014), presupposing that it should be positive, which is not necessarily the case. Furthermore, the ±sign in Eq. (23) is also significant: it can be applied both to expanding or contracting parts of the universe, and modelize cosmic flows.

  2. 2.

    The radiation contribution—which we know is small—has not been considered here.


  1. Aprile, E., Profumo, S.: New J. Phys. 11, 105002 (2009)

    Article  ADS  Google Scholar 

  2. Bekenstein, J.D.: Phys. Rev. D 70, 083509 (2004)

    Article  ADS  Google Scholar 

  3. Bergstrom, L.: Rep. Prog. Phys. 63, 793 (2000)

    Article  ADS  Google Scholar 

  4. Bertone, G., Hooper, D., Silk, J.: Phys. Rep. 405(5–6), 279 (2005)

    Article  ADS  Google Scholar 

  5. Brownstein, J.R., Moffat, J.W.: Astrophys. J. 636, 721 (2006)

    Article  ADS  Google Scholar 

  6. Cardone, V.F., Angus, G., Diaferio, A., Tortora, C., Molinaro, R.: Mon. Not. R. Astron. Soc. 412, 2617 (2011)

    Article  ADS  Google Scholar 

  7. Cooperstock, F.I., Tieu, S.: Int. J. Mod. Phys. A 22, 2293 (2007)

    Article  MathSciNet  Google Scholar 

  8. Dunning-Davies, J.: E.A. Milne and the Universes of Newton and Relativistic Cosmology (2004). arXiv:astro-ph/0402554

  9. Fleuret, J.: Astrophys. Space Sci. 350(2), 769 (2014)

    Article  ADS  Google Scholar 

  10. Hamaji, S.: Int. J. Phys. Sci. 9, 487 (2014)

    Google Scholar 

  11. Hartle, J.B.: Gravity, an Introduction to Einstein’s General Relativity. Pearson Education, Upper Saddle River (2007). Ch. 18

    Google Scholar 

  12. Lemaître, G.: Ann. Soci. Sci. Brux. A 47, 49 (1927)

    Google Scholar 

  13. Masreliez J.C.: Apeiron 11, 99 (2004a)

    Google Scholar 

  14. Masreliez, J.C.: Apeiron 11, 1 (2004b)

    Google Scholar 

  15. Masreliez, J.C.: The Progression of Time (2012). Masreliez, C. Johan, Appendix III

  16. Matarrese, S., Colpi, M., Gorini, V., Moschella, U.: Dark Matter and Dark Energy: A Challenge for Modern Cosmology. Astrophysics and Space Science Library, vol. 370. Springer, Berlin (2011)

    Book  Google Scholar 

  17. McGaugh, S.S.: Phys. Rev. Lett. 106, 121303 (2011)

    Article  ADS  Google Scholar 

  18. Milgrom, M.: Astrophys. J. 270, 365 (1983)

    Article  ADS  Google Scholar 

  19. Milne, E.A.: Q. J. Math. 5, 64 (1934)

    Article  ADS  Google Scholar 

  20. Mizony, M.: La Relativité Générale Aujourd’hui Ou L’observateur Oublié. Aléas, Paris (2003)

    Google Scholar 

  21. Moffat, J.W.: Reinventing Gravity: A Physicist Goes Beyond Einstein. Collins, Glasgow (2008)

    Google Scholar 

  22. Perlmutter, S., et al.: Astrophys. J. 483, 565 (1997)

    Article  ADS  Google Scholar 

  23. Riess, A.G., et al.: Astron. J. 116, 1009 (1998)

    Article  ADS  Google Scholar 

  24. Rindler, W.: Relativity, Special, General, and Cosmological p. 124. Oxford Un. Press, London (2009)

    Google Scholar 

  25. Rubin, V.C., Ford, W.K. Jr.: Astrophys. J. 159, 379 (1970)

    Article  ADS  Google Scholar 

  26. Sanders, R.H., McGaugh, S.S.: Annu. Rev. Astron. Astrophys. 40, 263 (2002)

    Article  ADS  Google Scholar 

  27. Uzan, J.P.: Dark energy, gravitation and Copernican principle. In: Dark Energy Observational and Theorical Approaches. Cambridge University Press, Cambridge (2010)

    Google Scholar 

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I thank Dr. J. Masreliez for his comments on the SEC theory.

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Correspondence to Jacques Fleuret.

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Fleuret, J. Expansion as a consequence of a rest-mass erosion theory. Astrophys Space Sci 357, 68 (2015).

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  • Expansion
  • Galaxy
  • Flat rotation curves
  • Cosmology
  • Dark matter
  • Dark energy