We suggest a general relation between the position of the cosmic microwave background temperature power spectrum peaks and the inflationary slow roll parameter \epsilon .
This relation is based on interpreting the variable setting the position of the peaks as the quantum distance between the end of inflation and recombination .
This distance is determined by the primordial cosmological Fisher information introduced in [ 1 ] .
The observational constraints set by cosmic microwave background temperature data lead to a very stringent prediction for the value of the tensor-to-scalar ratio : r = 0.01 \pm 0.002 .
Future polarization data of the cosmic microwave background should be able to measure this signal and corroborate or discard our model .