During a no-hitter, if a pitcher surpasses his allowable pitch count and the opposing coach notifies the plate umpire, what is the umpire's ruling?

The ruling in this situation is that the pitcher may finish pitching to the current batter. This approach acknowledges the flow of the game while ensuring that player safety and guidelines regarding pitch counts are upheld. The pitcher is allowed to complete the at-bat as a matter of fairness, as disrupting the game in the middle of an at-bat could lead to additional complications or confusion regarding the game's state.

After the current batter, actions would need to be taken in response to the pitch count violation, which may involve substituting the pitcher to comply with safety rules. This ruling compromises between maintaining game integrity and ensuring that players are not penalized unduly during a crucial moment of the game, such as a no-hitter.

The other options, such as an immediate ejection of the pitcher or calling the game due to violation, would be overly punitive and could disrupt the game excessively. Allowing the catcher to substitute in place of the pitcher does not align with standard game procedures since it wouldn't address the pitch count violation appropriately.