A wavefunction of a single particle (ignoring spin etc) is a three dimensional object mapping to 3-D physical space. The wavefunction of two(adsbygoogle = window.adsbygoogle || []).push({}); particles is separable as a product of two independent 3-D wavefunctions. If the particles areunentangledthe states cannot be separated, the state of the system needs a 6-D space. In general, 3N dimensions are needed.entangled,

However, in the RSF, a system state is considered as a sum, a superposition, of relative states. Each component state is a product of the states of the individual particles. These are individually 3-D states. So it seems to me that RSF and its immediate offspring, MWI, get rid of the non-physicality of the multi-dimensional wavefunction and replace it by independent 3-D wavefunctions, one for each particle. The complexity of the extra dimensions is, of course, replaced by the exponential number of states in the system each with its own coefficient. But the spooky action at a distance goes away and 3-D wavefunctions come back.

Errors in this?

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# Dimensionality of the wavefunction in relative state

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