Evolutionary biologists are confused and divided, some even condemning their theories as just history or storytelling. They are confined to elaborative evolution while self-organization pervades biology. A quantum approach including self-organization and emergence as the physics of complex systems is essentially required, with water, a two-phase liquid, one phase of which is quantum coherent. These physical realities are instrumental for the evolution, even of the properties of an environmental stressor, through its turbulent serial dilution. Such dilution happens spontaneously in nature, and defying conventional wisdom, can cause even epigenetic and genomic effects. Electromagnetic potential and the phase can store information as biological agents. Homeopathy, incredibly, uses such dilutions as medicines. In this statistical, nondeterministic, and quantum mechanically elusive world, the real-life empirical observations of homeopathy are evidence of their biological effects. The proposed theory suggests that the environmental stressor is a more crucial driver of evolution than the organism or its genes, evolutionary products in themselves. Its four-dimensional geometrical template could evolve in the organism during its evolutionary history what it can now disturb in health or restore during sickness. Thus, directing selforganization through morphogenesis, such stressors turn-by-turn led the whole organism's evolution to adapt better. They gradually built up a critical state in the organism, followed by its rapid specification. Their random permutations led to biodiversity. Thus, this theory may cover evolution from its deep molecular interior, while contemporary theory covers its macroscopic exterior; these theories complement each other. This view finds an immediate test application in regenerative medicine and may lead to quantum medicine.