Genesis seems to mean something about beginnings, they usually start out small and have indicators of what will come or 'genetic" traits that its inherited; like a seed or a singular cell that splits itself into multiple in order to create. In creating this system it essentially becomes the system.
Lysis seems adequate to categorize as an antonym as it is a small degeneration of these cells (metaphorical or not) that wipes out whole systems.
Genesis is generation generation of whole systems at base level
Lysis is a degeneration of systems at the base evel
Bada boom bada bing