Searching for Extra Dimensions in the Early Universe

We investigate extra spatial dimensions ($D=3+ϵ$) in the early universe using very high resolution molecular rotational spectroscopic data derived from a large molecular cloud containing moderately cold carbon monoxide gas at Z $\approx 6.42$. It turns out that the $ϵ$-dependent quantum mechanical wavelength transitions are solvable for a linear molecule and we present the solution here. The CO microwave data allows a very precise determination of $<ϵ>=-0.00000657\pm .10003032$. The probability that $<ϵ>\mathrm{\ne }0$ is one in 7794, only 850 million years (using the standard cosmology) after the Big Bang.