Um, no, sorry. You brought it onto this thread, it is your burden of proof, not mine, to show it is relevant. If I had brought it onto this thread, it would be my burden of proof to say it is relevant.
OK, now I see. You have no basis for any of your comments on “conservation of information” other than to reference Dembski’s well debunked ramblings, or to reference quantum physics without understanding what you referenced, as if that paper had any relevance to biology.
Darn, I had hoped I might hear something new.
Papias
OK, I am the one who brought up the conservation of information. I had to study that in biology so now I will explain how it is important.
Given a known state (current state let's say) for any item (particle, organism, energy) and all the known variables, it is possible to trace each and every item to account for all of it's information, displayed as both matter and energy.
A basic example is the food chain
The sun fuses 2 hydrogen atoms together to produce energy
That energy (some of which is light energy) makes it to earth
2% of solar light energy is transferred into chemical energy the other 98% is accounted for as heat
Grass uses that light energy for photosynthesis converting another 2% of light energy into chemical energy, the other 98% is given off as heat energy
A cow eats the grass and converts 2% of the grass's chemical energy into chemical energy for itself, the other 98% is given off as heat
We eat the cow, 2%/98% rule still into effect, but we also make clothes, shoes, medicines,etc from the cow
This is a guiding principal of evolutionary science, given the state of an organism (any state) and know the variables, you can show the path of evolution leading to the observed state.
We could also look at dinosaurs, they lived and amassed carbon, now we use those carbons (hydrocarbons) to propel our vehicles using internal combustion engines, the engine creates some forward momentum, heat energy and exhaust gasses. The forward momentum also produces wind/tire friction which gives off heat, some exhaust gasses are used in photosynthesis and others just add to the heat already produced.
All of the information (energy and matter) in the dinosaur is accounted for some how, it does not just disappear, it may be hard (virtually impossible in some accounts) to account for all information, but it can be done.