Could There be a Preferred Time in the Universe?

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I just read Lee Smolin book Time Reborn. It's published in April this year. Are there arguments or mathematical proof in relativity that what he described couldn't occur (concerning Preferred time that is perceptible at the scale of the universe as a whole, with the validity of the principle of relativity on smaller scales)?

<<link removed>>

Smolin: "I describe shape dynamics, which is a new way of reconciling the existence of a preferred time that is perceptible at the scale of the universe as a whole, with the validity of the principle of relativity on smaller scales.

... the preferred time in shape dynamics is not absolute, it is determined dynamically as a result of the distribution of matter and fields in the universe."
 
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