Where is it written that corporations can pay 1970 wages in 2014 and not expect protests?

They aren't and no idea where you got that from.

The same place it's written that the federal government has some authority to dictate compensation for employees of private companies. It ain't.

No one does any such thing. Literally 100% of the non-retarded know that.

The Obama administration's BLS reports wage and productivity data from 1979 - present

According to the Obama administration's BLS, workers are 68.9% more productive and are getting paid 222% more.

In other words, YOUR IDOL'S data says workers are badly ripping-off "corporations" compared to the 1970s standard

Where is it written that they can't?

Conservative blogs.