Final answer:
A law allowing excessive police discretion potentially violates the due process and equal protection clauses of the Fourteenth Amendment, as it can result in arbitrary enforcement and undermine the fair application of laws.
Step-by-step explanation:
A law that gives too much discretion to police in interpreting or enforcing the law violates the Fourteenth Amendment. This amendment includes the due process clause, which requires that individuals be treated fairly and impartially by government officials. When police have too much discretion, it can lead to arbitrary enforcement, which may undermine the consistent and fair application of laws expected under due process.
The Fourteenth Amendment also includes the equal protection clause, ensuring that no state shall deny to any person within its jurisdiction the equal protection of the laws. This clause reinforces the idea that laws and their enforcement must be fair and not subject to arbitrary interpretation by law enforcement officers.