There are various synonyms for the phrase "without grounds," which refers to something that is baseless or lacking supporting evidence. Some commonly used synonyms include "unfounded," "unsubstantiated," "unjustified," "unsupported," "groundless," and "unproven." These words suggest a lack of rational basis or justification for a certain claim or action. Other possible synonyms include "speculative," "conjectural," and "unverified," which all indicate that something lacks conclusive proof or evidence. These synonyms can be used in a range of contexts, from legal disputes to personal accusations, to describe situations where an assertion is made without any viable evidence to back it up.