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These processes are physical—neurons firing, chemicals binding to receptors, and so on. In theory, any physical process can be modeled mathematically, and since computers operate on binary code (0s and 1s), it’s tempting to think we could simulate emotions in a machine by replicating these processes digitally.
For example, we could create a computational model of a brain, simulate the release of dopamine, and track how it affects a virtual neural network. This is already being done to some extent in neuroscience research, where scientists use simulations to study brain activity. So, in a purely mechanical sense, yes, we could represent the mechanisms of emotions with 0s and 1s.