Fermi’s Paradox and Mathematical Theory of Rumours: A Possible New Solution?

Yıl 2020, Cilt: 1 Sayı: 2, 589 - 593, 11.12.2020

Mehmet Emin Özel

Öz

We propose that Fermi’s Paradox about "Where are the Extraterrestrails?" canbe solved on the basis of the mathematical theory of spread of stochasticrumours developed by Daley and Kendal (1964), Maki and Thompson (1973) andBelen and Pierce (2004). Analytical formulations and their simulations showthat a certain fraction of possible expansion space of a rumour can never bereached; similarly, Earth may had also fallen into this category ofnever-reachable planets in a possible network of communicating civilizationsin the Milky Way.

Anahtar Kelimeler

Stochastic rumour models, simulations of rumor models, Fermi’s Paradox, Drake’s Equation, Kepler Satellite

Kaynakça

• Nicholson, I., 1999, Unfolding Our Universe, Cambridge University Press.
• Sulivan, W. and Baross, J.A., (Edts), 2007, Planets and Life, Cambridge University Press.
• Billings, L. (edt), 2014, Secrets of the Universe: past, present, future, Scientific American publication.
• Daley, G.J. and Gani, J., 1999, Epidemic Modelling: An Introduction, Cambridge University Press.
• Rappaport, A., Rebbun L.I., 1952, On the Mathematical Theory of rumor spread, Bull. Math. Biophys., 14, 375-383.
• Rappaport, A,. 1953, Spread of informtion through a population with sociostructural basis I : Assumption of transivity, Bull. Math. Biophys., 15, 523-533.
• Daley, D.J., Kendal, D.G, 1965, Stochastic Rumours, J Inst. Math. Appl., 1, 42-55.
• Maki, D.P., Thompson, M., 1973, Mathematical Models and Applications, Prentice-Hall.
• Pierce, C.E.M., 2000, The exact solution of the general stochastic rumors, Math. And Comp. Modelling, 31 (10,12), 289-298.
• Pittel, B., 1990, On the Daley-Kendal model of random numbers, J Applied Probability, 27, 14-47.
• Belen, S., and Pierce, C.E.M., 2004, Rumours with general initial conditions, ANZIAM J., 45, 393-400.
• Belen, S., 2008, The Behaviour of Stochastic Romours, PhD Thesis, Univ. Of Adelaide, Australia.
• Belen, S., Kropat, E., Weber, G.W., 2010, On the classical Maki-Thompson rumour model in continuous time, CEJOR, 19, 1-17.
• Lemonick, M.D., 2014, Dawn of Distant Planets, in [2] above, p.4-11.
• Rees, Martin, 2004, Our Final Century, Arrow Books.
• Asimov, Isaac, 1991, ‘Second Foundation’, Mass Market.
• Belen, S., Özel, M.E., Uzun, A., 2011, Haber ve Söylentilerin Yayılma Dinamikleri: İstatistiksel İnceleme ve Denetleme (Dynamics of Spread of News and Rumours:An Statistical Evaluation), Project Conclusion Report (in Turkish with an English summary), Çağ University Publication, Çağ Univ., Tarsus-Mersin.
• Belen, S., Özel, M.E., 2012, Fermi Açmazı için Yeni bir Çözüm Önerisi (A New Solution Proposal for the Solution of Fermi’s Paradox), 18th Turkish National Astronomy Congress, Malatya-Turkey, Conference Proceedings, p.319-322.
• Hayes, B., 2005, May issue of American Scientist .
• Sagan, C., 1981, Cosmos.
• Wikipedia, 2015, List of all planets from Kepler Spacecraft
• Boyajian, T,. et al., 2015, MNRAS Sept 11 issue.
• Behroozi, P., et al., 2015, MNRAS Oct 20 issue.
• Kardashev, N., 1964, Soviet Astronomy, 8, 217.