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The quon algebra describes particles, ``quons, that are neither fermions nor bosons, using a label $q$ that parametrizes a smooth interpolation between bosons ($q = 1$) and fermions ($q = -1$). Understanding the relation of quons on the one side and bosons or fermions on the other can shed light on the different properties of these two kinds of operators and the statistics which they carry. In particular, local bilinear observables can be constructed from bosons and fermions, but not from quons. In this paper we construct bosons and fermions from quon operators. For bosons, our construction works for $-1 leq q leq 1$. The case $q=-1$ is paradoxical, since that case makes a boson out of fermions, which would seem to be impossible. None the less, when the limit $q to -1$ is taken from above, the construction works. For fermions, the analogous construction works for $-1 leq q leq 1$, which includes the paradoxical case $q=1$.
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We revisit the Unruh effect to investigate how finite acceleration would affect a scalar condensate. We discuss a negative thermal-like correction associated with acceleration. From the correspondence between thermo-field dynamics and acceleration effects we give an explanation for this negative sign. Using this result and solving the gap equation we show that the condensate should increase with larger acceleration.
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