To be able to create life earth must have been quite stable for hundred
of millions of years, and this is not easy.
- A proton is lighter than a neutron. So, eventually, all neutrons will
decay into protons. If the protons were 1% heavier they would decay into
neutrons. As a result all nuclei would be unstable and disintegrate. Lie
would be impossible.
- Protons are stable and do not decay into anti-electrons. To create stable
DNA, protons must be stable or hundred of millions of years.
- If the strong nuclear force had been a little weaker, nuclei like deuterium
would disintegrate and no heavier elements would have been built by nucleo-synthesis
in the first years.
- If the strong nuclear force had been a little stronger, stars would have
burn too quickly and life could not have involved.
- Any variation of the value of the weak nuclear force would also have made
life impossible.
In conclusion, if any of the constants of the universe had been slightly different, we would not be here. These arguments are part of the Anthropic Principle.
According to Sir Martin Rees the universe depends on six numbers:
1- Epsilon, the relative amount of hydrogen fused into helium at the time
of the big bang, must be 0.007. If it had been 0.006, the strong nuclear
force would have been too weak to bind the protons and neutrons together.
Heavier elements could not have been formed in the stars. If Epsilon had
been 0.008, fusion would have been too fast and no hydrogen would have survived
the big bang. All the stars would be cold today.
2- N, the strength of the electric force divided by the strength of gravity,
is 10E36. If gravity had been smaller, stars would not have condensed, fusion
heating them would not have taken place, and the universe including the
planets, would be frozen. If gravity had been stronger, the fusion in the
stars would have used the fuel too fast and life would not have started.
3- -mega is the relative density of the universe. If omega had been smaller,
the universe would have expanded and cooled too fast. If it had been too
large, the universe would have collapse before life could have started.
4- Lambda, the Cosmological Constant, determines the acceleration of the
universe. If it had been a little bigger, the anti-gravity force would have
blown the universe apart, cooling it, and making life impossible. If lambda
had been smaller or negative, the universe would have collapsed in a big
crunch.
5- Q, the amplitude of the irregularities in the cosmic microwave background,
is equal to 10E-5. If it had been smaller, the universe would be totally
uniform, a lifeless mass of gas and dust (instead of stars and galaxies).
If Q had been larger, the matter would have condensed earlier in big structures
that by now would have collapsed in black holes.
6- D is the number of spatial dimensions. In one or two dimensions life
would be impossible. With more than 3 dimensions the planets' orbits would
not have been stable and, again, life would have been impossible.