Here’s an illustration that exhibits Brownian motion. It visualizes particles suspended in a fluid, moving randomly and colliding, which captures the essence of the chaotic and unpredictable paths characteristic of Brownian motion.

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Ph.D. Research Project…

Tony Berard

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I had an idea. Since evolution incorporates random mutations over time, do you think it is likely that some type of random process could emulate evolution with Brownian motion with a simple set of rules like Conway’s Game of Life?

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Your idea is intriguing and touches on several complex concepts within mathematics, physics, and biology. Let’s break down the components and how they might relate to each other.

Evolution and Random Mutations

Evolution through natural selection involves both random and non-random elements. The genetic mutations that occur within organisms are indeed random; however, the selection process that determines which mutations are passed on to future generations is not random. It depends on how well these mutations help organisms survive and reproduce in their environments.

Brownian Motion

Brownian motion is a physical phenomenon that describes the random movement of particles suspended in a fluid (liquid or gas) resulting from their collision with fast-moving molecules in the fluid. This motion is purely physical and random, without any inherent selection process guiding the particles’ movement.

Conway’s Game of Life

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