Usually over 2000 feet

the punishment for breaking the law would depend on the conditions or the seriousness of the law being broken, if he or she breaks the law while doing some great discovery or invention then it would classify as a scientific fraud. there are other words to describe the crime but scientific fraud would be the harshest one.

necessary and proper clause. the congress shall have power to all laws which shall be necessary and proper for carrying into execution the foregoing powers, and all other powers vested by this constitution in the government of the united states, or in any department or officer thereof.

i believe it would influence their own way of understanding things. it shall be a foundation where they can draw or start an argument.   historians are also  scientists that  have their tools of analysis and expertise to unlock a variety of difficulties such as relationships of man, origin, politics, economy, and culture. based on facts and understanding on these areas, they may shade light to extract ideas and develop options to validate a hypothesis or debunk it.