Re: Life Beyond Earth?
Posted: Wed Jan 14, 2009 10:58 am
Statistically it is more unlikely there is no intelligent life beyond Earth, as that there is.
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SuperSaiyan wrote:Universe wrote:Statistically it is more unlikely there is no intelligent life beyond Earth, as that there is.
I'd like to see the math on that one
Kit-Fox wrote:You know I wouldnt be suprised if when we finally make it out there we find out that our solar system was quarantined to prevent alien races from having to deal with such a stupid destructive civilisation.
Universe wrote:SuperSaiyan wrote:Universe wrote:Statistically it is more unlikely there is no intelligent life beyond Earth, as that there is.
I'd like to see the math on that one
K, if you wish, here it is:
http://en.wikipedia.org/wiki/Drake_equation
The equation
[spoiler]The Drake equation states that:
N = R^{\ast} \times f_p \times n_e \times f_{\ell} \times f_i \times f_c \times L \!
where:
N is the number of civilizations in our galaxy with which communication might be possible;
and
R* is the average rate of star formation in our galaxy
fp is the fraction of those stars that have planets
ne is the average number of planets that can potentially support life per star that has planets
fℓ is the fraction of the above that actually go on to develop life at some point
fi is the fraction of the above that actually go on to develop intelligent life
fc is the fraction of civilizations that develop a technology that releases detectable signs of their existence into space
L is the length of time such civilizations release detectable signals into space.
Alternative expression
The number of stars in the galaxy now, N*, is related to the star formation rate R* by
N^{\ast} = \int_0^{T_g} R^{\ast}(t) dt , \,\!,
where Tg is the age of the galaxy. Assuming for simplicity that R* is constant, then N* = R* Tg and the Drake equation can be rewritten into an alternate form phrased in terms of the more easily observable value, N*.[2]
N = N^{\ast} \times f_p \times n_e \times f_{\ell} \times f_i \times f_c \times L / T_g \,\!
R factor
One can question why the number of civilizations should be proportional to the star formation rate, though this makes technical sense. (The product of all the terms except L tells how many new communicating civilizations are born each year. Then you multiply by the lifetime to get the expected number. For example, if an average of 0.01 new civilizations are born each year, and they each last 500 years on the average, then on the average 5 will exist at any time.) The original Drake Equation can be extended to a more realistic model, where the equation uses not the number of stars that are forming now, but those that were forming several billion years ago. The alternate formulation, in terms of the number of stars in the galaxy, is easier to explain and understand, but implicitly assumes the star formation rate is constant over the life of the galaxy.
Expansions
Additional factors that have been described for the Drake equation include:
nr or reappearance number: The average number of times a new civilization reappears on the same planet where a previous civilization once has appeared and ended
fm or METI factor: The fraction of communicative civilizations that actually engage in deliberate interstellar transmission
With these factors in mind, the Drake equation states:
N = R^{\ast} \times f_p \times n_e \times f_{\ell} \times f_i \times f_c \times (1+n_r) \times f_m \times L \!
Reappearance number
The equation may furthermore be multiplied by how many times an intelligent civilization may occur on planets where it has happened once. Even if an intelligent civilization reaches the end of its lifetime after, for example, 10,000 years, life may still prevail on the planet for billions of years, availing for the next civilization to evolve. Thus, several civilizations may come and go during the lifespan of one and the same planet. Thus, if nr is the average number of times a new civilization reappears on the same planet where a previous civilization once has appeared and ended, then the total number of civilizations on such a planet would be (1+nr), which is the actual reappearance factor added to the equation.
The factor depends on what generally is the cause of civilization extinction. If it is generally by temporary inhabitability, for example a nuclear winter, then nr may be relatively high. On the other hand, if it is generally by permanent inhabitability, such as stellar evolution, then nr may be almost zero.
In the case of total life extinction, a similar factor may be applicable for fℓ, that is, how many times life may appear on a planet where it has appeared once.
METI factor
Alexander Zaitsev said that to be in a communicative phase and emit dedicated messages are not the same. For example, we, although being in a communicative phase, are not a communicative civilization; we do not practice such activities as the purposeful and regular transmission of interstellar messages. For this reason, he suggested introducing the METI factor (Messaging to Extra-Terrestrial Intelligence) to the classical Drake Equation. The factor is defined as "The fraction of communicative civilizations with clear and non-paranoid planetary consciousness", or alternatively expressed, the fraction of communicative civilizations that actually engage in deliberate interstellar transmission.[/spoiler]