You don’t have to go as exotic as QED to derive inconsistencies from the assumption of the continuum. When physicists encounter these inconsistencies, I suspect the continuum (or another source of infinity) is behind them. Singularities, for example, can be handled using discrete cut-offs.
In defense of the consistency of the universe...
You don’t have to go as exotic as QED to derive inconsistencies from the assumption of the continuum. When physicists encounter these inconsistencies, I suspect the continuum (or another source of infinity) is behind them. Singularities, for example, can be handled using discrete cut-offs.
(Later edit: Why down-voted?)