GoodUniverse said:
how far back in the history of universe would you have to go before any form of life existed?
According to my basic equation, the amount of universal evolutionary time required to generate self-replicating RNA:
t_{RNA} = dt_1 + dt_2 + dt_3 + dt_4 = (t_u - t_s) + (t_{\odot} - t_E) + (t_E - t_z) + (t_z - t_l)
\boxed{t_{RNA} = 1.22 \cdot 10^{9} \; \text{y}}
The first self-replicating RNA life could have been generated 1.22 billion years after the Big Bang on the inner planets around second generation and third generation stars, which formed together at the same time.
key:
dt_1 - minimum time required for second generation stars to form.
dt_2 - minimum time required for inner planets to form.
dt_3 - minimum time required for liquid water to form.
dt_4 - minimum time required for RNA life to form.
t_u = 13.85 \cdot 10^{9} \; \text{y}
t_s = 13.2 \cdot 10^{9} \; \text{y}
t_{\odot} = 4.57 \cdot 10^{9} \; \text{y}
t_E = 4.54 \cdot 10^{9} \; \text{y}
t_z = 4.4 \cdot 10^{9} \; \text{y}
t_l = 4.0 \cdot 10^{9} \; \text{y}
t_u - Universe age
t_s - oldest second generation star age in Milky Way galaxy
t_O - solar age
t_E - Earth age
t_z - oldest Zircon age
t_l - oldest fossilized RNA life age
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Reference:
http://en.wikipedia.org/wiki/Universe"
http://en.wikipedia.org/wiki/HE_1523-0901"
http://en.wikipedia.org/wiki/Sun"
http://en.wikipedia.org/wiki/Earth"
http://en.wikipedia.org/wiki/Cryptic_era"
http://en.wikipedia.org/wiki/Basin_Groups"