Introduction to Psi Research
Psi refers to the combination of ESP (extrasensory perception) and psychokinesis.
Much careful research on psi has been carried out over the last century and has been published in peer-reviewed journals. The following resources provide an excellent introduction to the field.
There are many other excellent resources in addition to these.
The PsiPhen Lab is one of many groups around the world investigating these phenomena. A broad array of respected scientists engage in psi research on the side, but since it is not generally accepted by the mainstream they do not publicize this work.