Abstract
I present a formalism for dealing directly with the effects of the Gutzwiller projection implicit in the $t\text{\ensuremath{-}}J$ model which is widely believed to underlie the phenomenology of the high-${T}_{c}$ cuprates. I suggest that a true BCS condensation from a Fermi-liquid state takes place but in the unphysical space prior to projection. The theory which results upon projection does not follow conventional rules of diagram theory and in fact in the normal state is a $Z=0$ non-Fermi liquid. Anomalous properties of the ``strange metal'' normal state are predicted and compared to experiments.
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