[verb (dictionary form)] + べくもない [する → す] + べくもない
べくもない is a formal, literary expression meaning "there is no way to…", "cannot possibly…", or "it is impossible to…". It conveys a strong sense that something is utterly beyond possibility – not merely difficult, but fundamentally unattainable.
It attaches to the dictionary form of a verb (with the classical auxiliary べし in its conjunctive form べく), followed by もない to emphatically negate even the possibility.
Verb (dictionary form) + べくもない
For する, the classical form すべくもない is used.
This pattern is considerably stronger than simply saying 〜~できない. While できない states an inability, べくもない conveys that the action is so far beyond reach that it is not even worth considering. It often carries a tone of resignation or awe.
べくもない frequently appears with a limited set of verbs, especially:
This is a written/literary expression and is rarely used in casual conversation. You will encounter it in novels, essays, formal speeches, and news commentary. It is characteristic of N1-level grammar.