This is a fascinating paper by Nina Sotina which brings to light the chemical and physical differences between living organisms and inert matter, and resulting contradictions and inconsistencies with probabilistic quantum physics. below is an excerpt from her paper.
Biomolecules and quantum mechanics
What is the difference between the chemistry of a living substance and a non-living one? In a living organism unlike non-living, molecules interact mostly under control of enzymes rather than via random collisions. An enzyme is a protein having a particular shape. Any enzyme includes an active site where a chemical reaction occurs. The active site can only accommodate molecules having a particular shape. When molecules are in the active site the deforming motion of the enzyme is enough to break the bonds between the molecules. This process does not exhibit any molecular chaos! On the contrary, the molecules in a living organism act as the well-tuned mechanisms.
However from the physics point of view, a molecule is a quantum system. A quantum system behavior should be governed by the probabilistic laws of quantum mechanics. According to the theory it is possible to tell only with a finite probability whether a chemical reaction is to occur. For example: to obtain a 10 link enzyme in a laboratory we should produce 9 reactions. If we assume that each reaction occurs with high probability 0.95 then for 9 reactions to occur the probability must be 0.95^9 = 0.62. So the probability of 9 reactions is already not so big. We have only 9 reactions here. But the living molecular systems are in the state of continuous interaction. Hence from the quantum physics standpoint the probably of a certain biological process would be very small. However in a real life, we observe surprising stability. The same processes repeat again and again from generation to generation.
Schrödinger was the one who pointed out that Quantum Mechanics in its present day form is unable to describe a behavior of living matter. He wrote: “a single group of atoms existing only in one copy produces orderly events, marvelously tuned in with each other and with the environment according to most subtle laws… we are here obviously faced with events whose regular and lawful unfolding is guided by a ‘mechanism’ entirely different from the ‘probability mechanism’ of physics.” .