Decoherence may not solve all of the measurement problems of quantum mechanics. It is proposed that a solution to these problems may be to allow that superpositions describe physically real systems in the following sense. Each quantum system "carries" around a local spacetime in whose terms other quantum systems may take on nonlocal states. Each quantum system forms a physically valid coordinate frame. The laws of physics should be formulated to be invariant under the group of allowed transformations among such frames. A transformation of relatively superposed spatial coordinates that allows an electron system to preserve the de Broglie Relation in describing a double-slit laboratory system-in analogy to a Minkowskian Transformation-is proposed. In general, "quantum relativity" says is invariant under transformations among quantum reference frames. Some conjectures on how this impacts gravity and gauge invariance are made. 2 1 1 2 1 1 J J J J J J − − = 2 the invariant quantum interval υ is

The idea of this paper is to put actual qualia into equations (broadly understood) to get what might be called _qualations_. Qualations arguably have different meanings and truth behaviors than the analogous equations. For example, the term ‘ black ’ arguably has a different meaning and behavior than the term ‘ ⬛ ’. This is a step in the direction of a ‘calculus of qualia’ and of expanding science to include 1stperson phenomena.

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There are long-standing questions about the Big Bang: What were its properties? Was there nothing before it? Was the universe always here? Many conceptual issues revolve around time. This paper gives a novel model based on McTaggart’s temporal distinction between the A-series (future-present-past) and B-series (earlier-times to later-times). These series are useful while situated in a Presentist and Fragmentalist account of quantum mechanics, one in which the consistency with the Special Relativity (in particular the relativity of simultaneity) will be made explicit (section 6). This allows us to make a fruitful distinction between two pertinent questions: what happens as we go to earlier times toward the Big Bang? And: what happens as we go further into the past toward the Big Bang?

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