Psychokinesis (literally "mind-movement") or PK is the more commonly used term today for what in the past was known as Telekinesis (literally "distant-movement"). It refers to the ability to influence the behavior of matter by mental intention (or possibly some other aspect of mental activity) alone.

There have been anecdotal reports of such apparent phenomena throughout history in various cultures. For example, poltergeist activity is typically characterized by objects being moved without apparent explanation, though some people claim that this is accounted for as unintentional PK by children going through puberty.

As with all psi phenomena, there is wide disagreement and controversy within the sciences and even within parapsychology as to the existence of psychokinesis and the validity or interpretation of PK-related experiments (see Parapsychology).

Parapsychologists usually make a distinction between macroscopic PK (large-scale effects observable by the naked eye or by a single measurement) and microscopic PK (small-scale effects only observable by statistical analysis of multiple measurements), and both types are still studied today, with more attention to the micro variety. Some of the more extravagant accounts of macro-PK in recent times were the so-called "physical phenomena" claimed to be observed during seances with mediums of the spiritualist era in the late 19th and early 20th century and studied by members of the Society for Psychical Research (SPR). Such phenomena included table tipping, rapping, and levitation, and the playing of musical instruments with minimal or no contact. In more modern times, claimed macro-PK phenomena include the remote bending of cutlery (usually forks or spoons) or metal bars, and the production of images on unexposed photographic film by Uri Geller and other psychics.

By its nature, study of micro-PK phenomena requires an experimental approach. The first recorded experiments of this type were conducted by J. B. Rhine and his associates in 1934, investigating whether subjects could affect the throws of dice. Similar experiments were soon conducted by many other parapsychologists. Statistical results were generally far less than that observed for telepathy tests, and though a few anomolies were observed, no consensus emerged for the dice-tossing experiments. However, a 1989 meta-analysis by Diane Ferrari and Dean Radin of all such experiments in the literature from 1935 to that date showed an overall hit rate of 51.2% compared with chance expectation of 50%. Given the large number of trials involved, this is a significant figure, with odds against chance of more than a billion to one. There are critics of this analysis.

In more recent times, micro-PK experiments have typically involved testing whether a subject can affect the outputs of random number generators (RNGs), aka random event generators (REGs), which generate a random bit stream based on the decay of radioactive materials or by electronic noise circuits. In a typical experiment, a subject is given feedback regarding the output of a RNG in one form or another, e.g. audible clicks in one ear or the other through headphones or a graphical readout of an accumulator, and is asked to try to mentally influence the RNG to favor one output over another, e.g. cause more clicks in the right ear, or cause the graph to move to the left. There are several reasons for the development of this type of experiment, one of them being the ease of automating such experiments, which not only makes data collection easier, but also makes it easier to design more secure (fraud-proof) experimental protocols.

Notable researchers who pursue RNG experiments are Helmut Schmidt, who pioneered them in the 1960s; Robert Jahn and his associates at the Princeton Engineering Anomalies Research center (PEAR); and Dean Radin. A 1987 meta-analysis by Radin and Roger Nelson of such experiments from 1959 to that date covering 832 studies (235 of them control studies) showed a hit rate of about 51% for the experimental studies compared to 50% for the control studies (i.e. comparable to the dice tossing studies), with odds against chance of about 1 trillion to one. There are critics of this analysis.

RNG studies continue today, with long-term studies conducted at PEAR. RNG devices are also used by the Global Consciousness Project. As a technological curiosity, on Nov 3rd, 1998 the US Patent Office granted Patent #5830064, "Apparatus and method for distinguishing events which collectively exceed chance expectations and thereby controlling an output", to inventors including several researchers from the Princeton Engineering Anomalies Research (PEAR) center. The patent in no way relies on the existence of psi phenomena, but in the description the inventors do suggest that "One application of the present invention is the investigation of anomalous interaction between an operator and random physical systems, whether by serious scientists or curious members of the public who would like to conduct experiments on their own." The central idea of the patent is that a single device (microchip) includes both a true RNG and an accumulator circuit which can detect when the output of the RNG varies significantly from expected chance output. The output of the accumulator/detector circuit can then be used as an input to some control circuit. The idea then is that if a PK channel is truly available, then an operator should be able to mentally affect the RNG such that the detection circuit triggers, providing a psi-controlled switch. No actual applications of this patent are known at the time of this writing.

Perhaps the most remarkable (and controversial) PK experiments involving RNGs were first conducted by Helmut Schmidt. Noting that some reported psi phenomena do not appear to be time bound, and that some interpretations of quantum theory posit a relationship between observer and the observed and the indeterminacy of some events until observed, Schmidt designed experiments in which a subject was asked to influence the output of an RNG after the output had already been recorded, i.e. the subject was being asked (unknown to the subject) to affect the behavior of the RNG over an interval of time in the past. One of the advantages of such an experiment is the degree of security (fraud prevention) that can be designed into the protocol. After a series of such experiments with positive results (odds against chance of 1000 to 1) involving independent third-party observers, one of the observers, theoretical physicist Henry Stapp of UC Berkeley, wrote an article for the prominent journal Physical Review in 1994 in which he attempted to show how PK might be consistent with a generalization of quantum theory, and that such phenomena merited further study.

There have also been studies of possible mental influence on living systems, such as the effects of prayer and remote healing, or, in research conducted in the former Soviet Union, the ability of one subject to induce hypnosis or wakefulness in another subject remotely.

Various models have been proposed for various aspects of PK as well as other psi phenomena, but so far there is no widely accepted physical theory or proposed mechanism that explains how such phenomena might occur. Many parapsychologists with backgrounds in physics point out that despite lack of a proposed mechanism for psi phenomena, the currently understood "laws of physics" do not preclude such phenomena, and they are confident that eventually extensions to today's physical theories will fill this gap. There are critics who disagree with this assessment.

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