How are there no negative consequences? The debt has to be serviced. Thats hundreds of billions of dollars off the top of of the budget every year...money which could have been put to use for the people, or allow for lower tax rates, or to fund science/exploration/education, or whatever.
I guess if we accumulate debt at a rate where it gets negated by inflation and payment...then it could be like treading water at the sewage plant?