Theory of information could be modified without making the rest of constructive theory fall. It's just that it could only be modified in a way that was compatible with the rest of the theory. The laws of physics have to be formulated not just differently, but with different modes of explanation. And if these new theories had that property and made sense, then they might be accommodatable in a modified version of constructive theory. But I don't think any of that is going to happen.
This is my interview with David Deutsch, Visiting Professor of physics at the Centre for Quantum Computation, the Clarendon Laboratory, Oxford University and an Honorary Fellow of Wolfson College, Oxford. We discuss the constructor theory of information, some of its conjectured principles, the unification of classical and quantum information, and more.
Constructor Theory of Information paper - https://arxiv.org/ftp/arxiv/papers/1405/1405.5563.pdf
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