What if speed of light was Faster? Would TIME travel be prohibited?

[timejim]

A recent post of slower than normal speed of light brought to mind "what If" light speed was faster. C being a constant, if it increased say by 10x, would the sun output be a 100 fold increase?
Also, it makes me question TIME travel. If one were to travel into the future, would there be a relationship to the speed of TIME (in this supposition, faster than normal speed of light), thereby causing the TIME traveler to incinerate?

[selfAdjoint]

Would time speed up if light did? I don't think so but it might seem that way. The light year would be longer, and the basic length of a four-vector in SR (squared) is c^2t^2 - x^2 - y^2 - z^2, so the time component of any force or momentum would be greater. I haven't thought enough to see all the implications. Think about e = mc^2!