There really isn’t a universal definition for information, so it’s impossible to determine if there is a physical limit of information a brain can store. Is “information” even a physical?
If information is physical then it may be limited by the number of neurons in the brain that handles storage of information. If you say information has equivalent mass then maybe the theoretical limit is defined by the mass of a brain. But the brain is a bit more complicated than that, there are electrical signals and different chemicals in your brain and we don’t have a 100% understanding of how the brain functions.
I think the simple answer is that, we don’t know because there isn’t a clear definition of what information is.
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