The central thesis is that symbiogenesis, the fusion of simpler replicators into more complex wholes, is the primary source of novelty and complexity in evolution, superseding the traditional emphasis on random mutation. This is demonstrated in the BFF artificial life experiment where complex programs emerge from combining simpler ones, even with a zero mutation rate.
The origin of life is presented not as a gradual process but as a sudden, predictable phase transition, akin to gelation (like Jello setting). The speaker's BFF experiment shows a dramatic, measurable shift from a low-computation state to a high-computation state, which can be modeled mathematically using Smoluchowski coagulation equations.
Building on John von Neumann's work on self-replicating automata, the speaker defines life as an embodied, autopoietic (self-constructing) computation. Unlike abstract Turing machines, life's 'memory' is the physical matter it's made of, and its core function is to construct and maintain itself.
The speaker proposes that a complete mathematical model of evolution must augment traditional Lotka-Volterra equations (for population dynamics) with a Smoluchowski coagulation term (for symbiogenesis). This new term accounts for the open-ended creation of novelty and complexity, which is missing from classic models that assume a fixed set of species.
Keep pulling the thread on Blaise Agüera y Arcas.