Also, ganstaman, the random movement of particle you described is what results in DNA polymerase's error rate. DNA polymerase is a molecule that slides along the DNA strand to replicate it. Bases, which are the particles in your link you posted, randomly move and bounce about. If the correct one happens to fit in DNA polymerases active site, then it gets incorporated into the new strand. If not, the DNA pol's editing site removes the mismatched base. Again, ALL of this chemical activity is due to the RANDOM movement of particles bouncing around. These particles are molecules though, not atoms and not things big enough to see like pollen grains.
By chance, once per 10 billion bases the wrong nucleotide gets incorporating, and this is one of the many mechanisms that produces mutations.
More proof the mutations are random:
1. Experiments like that 6 bacterial line I posted.
2. The ability to make accurate predictions about how often a mutation will show up, given the known mutation rate.
3. The fact that most mutations are disastrous and harmful to the organism. If mutations are not random, then they must be guided by a mind. Why would the mind guide almost all these mutations to result in quick death and suffering in the mutant organism?
4. Cytochrome C
From
http://en.wikipedia.org/wiki/Evidenc...t#Cytochrome_c
"What makes these homologous similarities particularly suggestive of common ancestry in the case of cytochrome C, in addition to the fact that the phylogenies derived from them match other phylogenies very well, is the high degree of functional redundancy of the cytochrome C molecule. The different existing configurations of amino acids do not significantly affect the functionality of the protein, which indicates that the base pair substitutions are not part of a directed design, but the result of random mutations that aren't subject to selection.[26]"