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Cold fusion is a hypothetical type of nuclear reaction that would occur at, or near, room temperature, compared with temperatures in the millions of degrees that is required for "hot" fusion. It was proposed to explain reports of anomalously high energy generation under certain specific laboratory conditions. It has been rejected by the mainstream scientific community because the original experimental results could not be replicated consistently and reliably, and because there is no accepted theoretical model of cold fusion.
Cold fusion gained attention after reports in 1989 by Stanley Pons and Martin Fleischmann, then one of the world's leading electrochemists, that their apparatus had produced anomalous heat ("excess heat"), of a magnitude they asserted would defy explanation except in terms of nuclear processes. They further reported measuring small amounts of nuclear reaction byproducts, including neutrons and tritium. The small tabletop experiment involved electrolysis of heavy water on the surface of a palladium (Pd) electrode.
The reported results received wide media attention, and raised hopes of a cheap and abundant source of energy. Many scientists tried to replicate the experiment with the few details available. Hopes fell with the large number of negative replications, the withdrawal of many positive replications, the discovery of flaws and sources of experimental error in the original experiment, and finally the discovery that Fleischmann and Pons had not actually detected nuclear reaction byproducts.
By late 1989, most scientists considered cold fusion claims dead, and cold fusion subsequently gained a reputation as pathological science. In 1989, a review panel organized by the United States Department of Energy (DOE) found that the evidence for the discovery of a new nuclear process was not persuasive enough to start a special program, but was "sympathetic toward modest support" for experiments "within the present funding system." A second DOE review, convened in 2004 to look at new research, reached conclusions similar to the first.
A small community of researchers continues to investigate cold fusion, now often preferring the designation low-energy nuclear reactions (LENR). Some have reported that, "under certain extreme conditions", they observe excess heat effects by interaction of hydrogen or deuterium with palladium, nickel or platinum. Since cold fusion articles are rarely published in refereed scientific journals, the results do not receive as much scrutiny as more mainstream topics.
Nuclear fusion occurs at temperatures in the tens of millions of degrees. Speculations that nuclear fusion might happen at temperatures much lower than that seen in normal "hot" fusion nuclear reactions in the context of electrochemical loading of hydrogen in palladium and other similar metals have been suggested from time to time for nearly 100 years. In 1989, a claim by Stanley Pons and Martin Fleischmann (then one of the world's leading electrochemists) that such cold fusion had been observed caused a brief media sensation before other scientists began heavily criticizing their claim as being incorrect after many failed to replicate the excess heat. Since the initial announcement, cold fusion research has continued by a small community of committed researchers convinced that such reactions do happen and hoping to gain wider recognition for their experimental evidence.
Before the Fleischmann–Pons experiment
The ability of palladium to absorb hydrogen was recognized as early as the nineteenth century by Thomas Graham. In the late 1920s, two Austrian born scientists, Friedrich Paneth and Kurt Peters, originally reported the transformation of hydrogen into helium by spontaneous nuclear catalysis when hydrogen was absorbed by finely divided palladium at room temperature. However, the authors later retracted that report, acknowledging that the helium they measured was due to background from the air.
In 1927, Swedish scientist J. Tandberg stated that he had fused hydrogen into helium in an electrolytic cell with palladium electrodes. On the basis of his work, he applied for a Swedish patent for "a method to produce helium and useful reaction energy". After deuterium was discovered in 1932, Tandberg continued his experiments with heavy water. Due to Paneth and Peters's retraction, Tandberg's patent application was eventually denied. His application for a patent in 1927 was denied as he could not explain the physical process.
The final experiments made by Tandberg with heavy water were similar to the original experiment by Fleischmann and Pons. Fleischmann and Pons were not aware of Tandberg's work.[text 1][text 2]
The term "cold fusion" was used as early as 1956 in a New York Times article about Luis W. Alvarez's work on muon-catalyzed fusion. E. Paul Palmer of Brigham Young University also used the term "cold fusion" in 1986 in an investigation of "geo-fusion", the possible existence of fusion in a planetary core. However, Palmer and Jones used the term "piezonuclear fusion", coined by Jones.
The most famous cold fusion claims were made by Stanley Pons and Martin Fleischmann in 1989. After a brief period of interest by the wider scientific community, their reports were called into question by nuclear physicists. Pons and Fleischmann never retracted their claims, but moved their research program to France after the controversy erupted.
Events preceding announcement
Martin Fleischmann of the University of Southampton and Stanley Pons of the University of Utah hypothesized that the high compression ratio and mobility of deuterium that could be achieved within palladium metal using electrolysis might result in nuclear fusion. To investigate, they conducted electrolysis experiments using a palladium cathode and heavy water within a calorimeter, an insulated vessel designed to measure process heat. Current was applied continuously for many weeks, with the heavy water being renewed at intervals. Some deuterium was thought to be accumulating within the cathode, but most was allowed to bubble out of the cell, joining oxygen produced at the anode. For most of the time, the power input to the cell was equal to the calculated power leaving the cell within measurement accuracy, and the cell temperature was stable at around 30°C. But then, at some point (in some of the experiments), the temperature rose suddenly to about 50°C without changes in the input power. These high temperature phases would last for two days or more and would repeat several times in any given experiment once they had occurred. The calculated power leaving the cell was significantly higher than the input power during these high temperature phases. Eventually the high temperature phases would no longer occur within a particular cell.
In 1988, Fleischmann and Pons applied to the United States Department of Energy for funding towards a larger series of experiments. Up to this point they had been funding their experiments using a small device built with $100,000 out-of-pocket. The grant proposal was turned over for peer review, and one of the reviewers was Steven E. Jones of Brigham Young University. Jones had worked for some time on muon-catalyzed fusion, a known method of inducing nuclear fusion without high temperatures, and had written an article on the topic entitled "Cold nuclear fusion" that had been published in Scientific American in July 1987. Fleischmann and Pons and co-workers met with Jones and co-workers on occasion in Utah to share research and techniques. During this time, Fleischmann and Pons described their experiments as generating considerable "excess energy", in the sense that it could not be explained by chemical reactions alone. They felt that such a discovery could bear significant commercial value and would be entitled to patent protection. Jones, however, was measuring neutron flux, which was not of commercial interest. To avoid future problems, the teams appeared to agree to simultaneously publish their results, though their accounts of their March 6 meeting differ.
In mid-March 1989, both research teams were ready to publish their findings, and Fleischmann and Jones had agreed to meet at an airport on March 24 to send their papers to Nature via FedEx. Fleischmann and Pons, however, pressured by the University of Utah, which wanted to establish priority on the discovery, broke their apparent agreement, submitting their paper to the Journal of Electroanalytical Chemistry on March 11, and disclosing their work via a press release  and press conference on March 23. Jones, upset, faxed in his paper to Nature after the press conference.
Fleischmann and Pons' announcement drew wide media attention. Cold fusion was proposing the counterintuitive idea that a nuclear reaction could be caused to occur inside a chemically bound crystal structure. But the 1986 discovery of high-temperature superconductivity had made the scientific community more open to revelations of unexpected scientific results that could have huge economic repercussions and that could be replicated reliably even if they had not been predicted by established conjecture. And many scientists were also reminded of the Mössbauer effect, a process involving nuclear transitions in a solid. Its discovery 30 years earlier had also been unexpected, though it was quickly replicated and explained within the existing physics framework.
The announcement of a new clean source of energy came at a crucial time: adults still remembered the 1973 oil crisis and the problems caused by oil dependence, anthropogenic global warming was starting to become notorious, the anti-nuclear movement was labeling nuclear power plants as dangerous and getting them closed, people had in mind the consequences of strip mining, acid rain, the greenhouse effect and the Exxon Valdez oil spill, which happened the day after the announcement. In the press conference, Peterson, Fleischmann and Pons, backed by the solidity of their scientific credentials, repeatedly assured the journalists that cold fusion would solve all of these problems, and would provide a limitless inexhaustible source of clean energy, using only seawater as fuel. They said the results had been confirmed dozens of times and they had no doubts about them. In the accompanying press release Fleischmann was quoted saying: "What we have done is to open the door of a new research area, our indications are that the discovery will be relatively easy to make into a usable technology for generating heat and power, but continued work is needed, first, to further understand the science and secondly, to determine its value to energy economics." 
Response and fallout
Although the experimental protocol had not been published, physicists in several countries attempted, and failed, to replicate the excess heat phenomenon. The first paper submitted to Nature reproducing excess heat, although it passed peer-review, was rejected because most similar experiments were negative and there were no theories that could explain a positive result; this paper was later accepted for publication by the journal Fusion Technology. Nathan Lewis, professor of Chemistry at the California Institute of Technology, led one of the most ambitious validation efforts, trying many variations on the experiment without success, while CERN physicist Douglas R. O. Morrison said that "essentially all" attempts in Western Europe had failed. Even those reporting success had difficulty reproducing Fleischmann and Pons' results. On April 10, 1989, a group at Texas A&M University published results of excess heat and later that day a group at the Georgia Institute of Technology announced neutron production—the strongest replication announced up to that point due to the detection of neutrons and the reputation of the lab. In 12 April Pons was acclaimed at an ACS meeting. But Georgia Tech retracted their announcement in 13 April, explaining that their neutron detectors gave false positives when exposed to heat. Another attempt at independent replication, headed by Robert Huggins at Stanford University, which also reported early success with a light water control, saved cold fusion almost single-handedly and became the only scientific support for cold fusion in the 26 April US Congress hearings.[text 3] But, when he finally presented his results, he reported an excess heat of only one celsius degree, a result that could be explained by chemical differences between heavy and light water in the presence of lithium,[notes 1] he had not tried to measure any radiation, and his research was derided by scientists who saw it later. For the next six weeks, competing claims, counterclaims, and suggested explanations kept what was referred to as "cold fusion" or "fusion confusion" in the news.
In April 1989, Fleischmann and Pons published a "preliminary note" in the Journal of Electroanalytical Chemistry. This paper notably showed a gamma peak without its corresponding Compton edge, which indicated they had made a mistake in claiming evidence of fusion byproducts. Fleischmann and Pons replied to this critique, but the only thing left clear was that no gamma ray had been registered and that Fleischmann refused to recognize any mistakes in the data. A much longer paper published a year later went into details of calorimetry but did not include any nuclear measurements.
Nevertheless, Fleischmann and Pons and a number of other researchers who found positive results remained convinced of their findings. The University of Utah asked Congress to provide $25 million to pursue the research, and Pons was scheduled to meet with representatives of President Bush in early May.
On April 30, 1989, cold fusion was declared dead by the New York Times. The Times called it a circus the same day, and the Boston Herald attacked cold fusion the following day.
On May 1, 1989, the American Physical Society held a session on cold fusion in Baltimore, including many reports of experiments that failed to produce evidence of cold fusion. At the end of the session, eight of the nine leading speakers stated that they considered the initial Fleischmann and Pons claim dead, with the ninth, Johann Rafelski, abstaining. Steven E. Koonin of Caltech called the Utah report a result of "the incompetence and delusion of Pons and Fleischmann," which was met with a standing ovation. Douglas R. O. Morrison, a physicist representing CERN, was the first to call the episode an example of pathological science.
On May 4, due to all this new criticism, the meetings with various representatives from Washington were cancelled.
From May 8 only the A&M tritium results kept cold fusion afloat.
In July and November 1989, Nature published papers critical of cold fusion claims. Negative results were also published in several other scientific journals including Science, Physical Review Letters, and Physical Review C (nuclear physics).[notes 2]
The United States Department of Energy organized a special panel to review cold fusion theory and research. The panel issued its report in November 1989, concluding that results as of that date did not present convincing evidence that useful sources of energy would result from the phenomena attributed to cold fusion. The panel noted the large number of failures to replicate excess heat and the greater inconsistency of reports of nuclear reaction byproducts expected by established conjecture. Nuclear fusion of the type postulated would be inconsistent with current understanding and, if verified, would require established conjecture, perhaps even theory itself, to be extended in an unexpected way. The panel was against special funding for cold fusion research, but supported modest funding of "focused experiments within the general funding system." Cold fusion supporters continued to argue that the evidence for excess heat was strong, and in September 1990 the National Cold Fusion Institute listed 92 groups of researchers from 10 different countries that had reported corroborating evidence of excess heat, but they refused to provide any evidence of their own arguing that it could endanger their patents. However, no further DOE nor NSF funding resulted from the panel's recommendation. By this point, however, academic consensus had moved decidedly toward labeling cold fusion as a kind of "pathological science".
In early May 1990 one of the two A&M researchers, Kevin Wolf, acknowledged the possibility of spiking, but said that the most likely explanation was tritium contamination in the palladium electrodes or simply contamination due to sloppy work. In June 1990 an article in Science by science writer Gary Taubes destroyed the public credibility of the A&M tritium results when it accused its group leader John Bockris and one of his graduate students of spiking the cells with tritium. In October 1990 Wolf finally said that the results were explained by tritium contamination in the rods. An A&M cold fusion review panel found that the tritium evidence was not convincing and that, while they couldn't rule out spiking, contamination and measurements problems were more likely explanations,[text 4] and Bockris never got support from his faculty to resume his research.
In 1 January 1991, Pons left his tenure, and both he and Fleischmann quietly left the United States. In 1992 they resumed research with Toyota Motor Corporation's IMRA lab in France. Fleischmann left for England in 1995, and the contract with Pons was not renewed in 1998 after spending $40 million with no tangible results. The IMRA laboratory was closed in 1998 after spending £12 million on cold fusion work. Pons has made no public declarations since, and only Fleischmann continues giving talks and publishing papers.
Mostly in the 1990s several books were published that were critical of cold fusion research methods and the conduct of cold fusion researchers. Over the years several books have appeared that defended them.
After 1991, cold fusion research continued in relative obscurity, conducted by groups that had increasing difficulty securing public funding and keeping programs open. Research continues today in a few specific venues, but the wider scientific community has generally marginalized the research being done and researchers have had difficulty publishing in mainstream journals. The Boston Globe estimated in 2004 that there were only 100 to 200 researchers working in the field, most suffering damage to their reputation and career. Back in 1991 a review by a cold fusion proponent had calculated "about 600 scientists".
Small but committed groups of cold fusion researchers have continued to conduct experiments using Fleischmann and Pons electrolysis set-ups in spite of the rejection by the mainstream community. Often they prefer to name their field Low Energy Nuclear Reactions (LENR) or Chemically Assisted Nuclear Reactions (CANR), also Lattice Assisted Nuclear Reactions (LANR), Condensed Matter Nuclear Science (CMNS) and Lattice Enabled Nuclear Reactions; one of the reasons being to avoid the negative connotations associated with "cold fusion". The new names avoid making bold implications, like implying that fusion is happening on them. Proponents see them as a more accurate description of the theories they put forward.
Between 1992 and 1997, Japan's Ministry of International Trade and Industry sponsored a "New Hydrogen Energy (NHE)" program of US$20 million to research cold fusion. Announcing the end of the program in 1997, the director and one-time proponent of cold fusion research Hideo Ikegami stated "We couldn't achieve what was first claimed in terms of cold fusion. (...) We can't find any reason to propose more money for the coming year or for the future."
Also in the 1990s, India stopped its research in cold fusion at the Bhabha Atomic Research Centre because of the lack of consensus among mainstream scientists and the US denunciation of the research. Yet, in 2008, the National Institute of Advanced Studies recommended the Indian government to revive this research. Projects were commenced at the Chennai's Indian Institute of Technology, the Bhabha Atomic Research Centre and the Indira Gandhi Centre for Atomic Research. However, there is still skepticism among scientists and, for all practical purposes, research is still stopped.
Since the Fleischmann and Pons announcement, the Italian National agency for new technologies, Energy and sustainable economic development (ENEA) has funded Franco Scaramuzzi's research into whether excess heat can be measured from metals loaded with deuterium gas. Such research is distributed across ENEA departments, CNR Laboratories, INFN, universities and industrial laboratories in Italy, where the group continues to try to achieve reliable reproducibility (i.e. getting the phenomena to happen in every cell, and inside a certain frame of time). In 2009 ENEA hosted the 15th cold fusion conference.
In 1999 the Japan C-F Research Society was established to promote the independent research into cold fusion that continued in Japan. The society holds annual meetings; the 12th meeting took place on December 17–18, 2011 at Kobe University. In May 2008 Japanese researcher Yoshiaki Arata (Osaka University) demonstrated an experiment that produced heat when deuterium gas was introduced into a cell containing a mixture of palladium and zirconium oxide.[text 5] In an August 2009 peer-reviewed paper Akira Kitamura (Kobe University) et al. reported replication of this experiment. Replication of earlier work by Arata had been claimed by McKubre at SRI.
U.S. Navy researchers at the Space and Naval Warfare Systems Center (SPAWAR) in San Diego have been studying cold fusion since 1989. In 2002, they released a two-volume report, "Thermal and nuclear aspects of the Pd/D2O system," with a plea for funding. This and other published papers prompted the 2004 DOE review.
A grant of $5.5 million given by Sidney Kimmel in February 2012 to the University of Missouri will be used to establish the Sidney Kimmel Institute for Nuclear Renaissance (SKINR). The grant is intended to support research into the interactions of hydrogen with palladium, nickel or platinum at extreme conditions. In March 2013 Graham K. Hubler, a nuclear physicist who worked for the Naval Research Laboratory for 40 years, was named director. One of the SKINR projects is to replicate a 1991 experiment in which Prelas says bursts of millions of neutrons a second were recorded, which was stopped because "his research account had been frozen". He claims that the new experiment has already seen "neutron emissions at similar levels to the 1991 observation".
In January 2011 inventor Andrea Rossi together with researcher Sergio Focardi from the University of Bologna claimed to have successfully demonstrated commercially viable cold fusion in a device called an Energy Catalyzer. Other inventors and start-up companies have made similar claims in the past, however commercial devices are never available on the market.
The ISI identified cold fusion as the scientific topic with the largest number of published papers in 1989, of all scientific disciplines. The number of papers sharply declined after 1990 because of two simultaneous phenomena: scientists abandoning the field and journal editors declining to review new papers, and cold fusion fell off the ISI charts. Researchers who got negative results abandoned the field, while others kept publishing. A 1993 paper in Physics Letters A was the last paper published by Fleischmann, and "one of the last reports to be formally challenged on technical grounds by a cold fusion skeptic".
The decline of publications in cold fusion has been described as a "failed information epidemic".[text 6] The sudden surge of supporters until roughly 50% of scientists support the theory, followed by a decline until there is only a very small number of supporters, has been described as a characteristic of pathological science.[text 7][notes 3] The lack of a shared set of unifying concepts and techniques has prevented the creation of a dense network of collaboration in the field; researchers perform efforts in their own and in disparate directions, making the transition to "normal" science more difficult.
Cold fusion reports continued to be published in a small cluster of specialized journals like Journal of Electroanalytical Chemistry and Il Nuovo Cimento. Some papers also appeared in Journal of Physical Chemistry, Physics Letters A, International Journal of Hydrogen Energy, and a number of Japanese and Russian journals of physics, chemistry, and engineering. Since 2005, Naturwissenschaften has published cold fusion papers; in 2009, the journal named a cold fusion researcher to its editorial board.
The Nobel Laureate Julian Schwinger declared himself a supporter of cold fusion in the fall of 1989, after much of the response to the initial reports had turned negative. He tried to publish his theoretical paper "Cold Fusion: A Hypothesis" in Physical Review Letters, but the peer reviewers rejected it so harshly that he felt deeply insulted, and he resigned from the American Physical Society (publisher of PRL) in protest.
The Journal of Fusion Technology (FT) established a permanent feature in 1990 for cold fusion papers, publishing over a dozen papers per year and giving a mainstream outlet for cold fusion researchers. When editor-in-chief George H. Miley retired in 2001, the journal stopped accepting new cold fusion papers. This has been cited as an example of the importance of sympathetic influential individuals to the publication of cold fusion papers in certain journals.
In the 1990s, the groups that continued to research cold fusion and their supporters established periodicals such as Fusion Facts, Cold Fusion Magazine, Infinite Energy Magazine and New Energy Times to cover developments in cold fusion and other radical claims in energy production that were being ignored in other venues. In 2007 they established their own peer-reviewed journal, the Journal of Condensed Matter Nuclear Science. The internet has also become a major means of communication and self-publication for CF researchers, allowing for revival of the research.
Cold fusion researchers were for many years unable to get papers accepted at scientific meetings, prompting the creation of their own conferences. The first International Conference on Cold Fusion (ICCF) was held in 1990, and has met every 12 to 18 months since. Attendees offered no criticism to papers and presentations for fear of giving ammunition to external critics; thus allowing the proliferation of crackpots and hampering the conduct of serious science. Critics and skeptics stopped attending these conferences, with the notable exception of Douglas Morrison, who died in 2001. With the founding in 2004 of the International Society for Condensed Matter Nuclear Science (ISCMNS), the conference was renamed the International Conference on Condensed Matter Nuclear Science (the reasons are explained in the "ongoing" section), but reverted to the old name in 2008. Cold fusion research is often referenced by proponents as "low-energy nuclear reactions", or LENR, but according to sociologist Bart Simon the "cold fusion" label continues to serve a social function in creating a collective identity for the field.
Since 2006, the American Physical Society (APS) has included cold fusion sessions at their semiannual meetings, clarifying that this does not imply a softening of skepticism. Since 2007, the American Chemical Society (ACS) meetings also include "invited symposium(s)" on cold fusion. An ACS program chair said that without a proper forum the matter would never be discussed and, "with the world facing an energy crisis, it is worth exploring all possibilities."
On 22–25 March 2009, the American Chemical Society meeting included a four-day symposium in conjunction with the 20th anniversary of the announcement of cold fusion. Researchers working at the U.S. Navy's Space and Naval Warfare Systems Center (SPAWAR) reported detection of energetic neutrons using a heavy water electrolysis set-up and a CR-39 detector, a result previously published in Die Naturwissenschaften. The authors claim that these neutrons are indicative of nuclear reactions; without quantitative analysis of the number, energy, and timing of the neutrons and exclusion of other potential sources, this interpretation is unlikely to find acceptance by the wider scientific community.
Further reviews and funding issues
Around 1998 the University of Utah had already dropped its research after spending over $1 million, and in the summer of 1997 Japan cut off research and closed its own lab after spending $20 million.
Cold fusion researchers themselves acknowledge that the flaws in the original announcement still cause their field to be marginalized and to suffer a chronic lack of funding, and no possibility of getting published. University researchers are unwilling to investigate cold fusion because they would be ridiculed by their colleagues and their professional careers would be at risk. In 1994, David Goodstein, a professor of physics at Caltech, advocated for increased attention from mainstream researchers and described cold fusion as:
a pariah field, cast out by the scientific establishment. Between cold fusion and respectable science there is virtually no communication at all. Cold fusion papers are almost never published in refereed scientific journals, with the result that those works don't receive the normal critical scrutiny that science requires. On the other hand, because the Cold-Fusioners see themselves as a community under siege, there is little internal criticism. Experiments and theories tend to be accepted at face value, for fear of providing even more fuel for external critics, if anyone outside the group was bothering to listen. In these circumstances, crackpots flourish, making matters worse for those who believe that there is serious science going on here.
In August 2003 the U.S. energy secretary Abraham ordered the DOE to organize a second review of the field. This was thanks to an April 2003 letter sent by MIT's Peter L. Hagelstein,:3 and the publication of many new papers, including the Italian ENEA and other researchers in the 2003 International Cold Fusion Conference, and a two-volume book by U.S. SPAWAR in 2002. Cold fusion researchers were asked to present a review document of all the evidence since the 1989 review. The report was released in 2004. The reviewers were "split approximately evenly" on whether the experiments had produced energy in the form of heat, but "most reviewers, even those who accepted the evidence for excess power production, 'stated that the effects are not repeatable, the magnitude of the effect has not increased in over a decade of work, and that many of the reported experiments were not well documented.'". In summary, reviewers found that cold fusion evidence was still not convincing 15 years later, and they didn't recommend a federal research program. They only recommended that agencies consider funding individual well-thought studies in specific areas where research "could be helpful in resolving some of the controversies in the field". They summarized its conclusions thus:
While significant progress has been made in the sophistication of calorimeters since the review of this subject in 1989, the conclusions reached by the reviewers today are similar to those found in the 1989 review.
The current reviewers identified a number of basic science research areas that could be helpful in resolving some of the controversies in the field, two of which were: 1) material science aspects of deuterated metals using modern characterization techniques, and 2) the study of particles reportedly emitted from deuterated foils using state-of-the-art apparatus and methods. The reviewers believed that this field would benefit from the peer-review processes associated with proposal submission to agencies and paper submission to archival journals.
— Report of the Review of Low Energy Nuclear Reactions, US Department of Energy, December 2004
Cold fusion researchers placed a "rosier spin" on the report, noting that they were finally being treated like normal scientists, and that the report had increased interest in the field and caused "a huge upswing in interest in funding cold fusion research."
In a 2009 BBC article on an American Chemical Society's meeting on cold fusion, particle physicist Frank Close was quoted stating that the problems that plagued the original cold fusion announcement are still happening (as of 2009): results from studies are still not being independently verified and inexplicable phenomena encountered are being labelled as "cold fusion" even if they are not, in order to attract the attention of journalists.
A small number of old and new researchers have remained interested in investigating cold fusion. In 2007, one such researcher concluded that: "nuclear reactions not predicted by current theories occur in solids, during electrolysis, gas loading and gas discharge [experiments]".
In February 2012 millionaire Sidney Kimmel made a grant of $5.5 million to the University of Missouri. Kimmel was convinced that cold fusion was worth investing in by an interview to physicist Robert Duncan in 60 minutes in April 19, 2009.(research information in #Subsequent_research)
A cold fusion experiment usually includes:
- a metal, such as palladium or nickel, in bulk, thin films or powder;
- deuterium and/or hydrogen, in the form of water, gas or plasma; and
- an excitation in the form of electricity, magnetism, temperature, pressure, laser beam(s), or of acoustic waves.
Electrolysis cells can be either open cell or closed cell. In open cell systems, the electrolysis products, which are gaseous, are allowed to leave the cell. In closed cell experiments, the products are captured, for example by catalytically recombining the products in a separate part of the experimental system. These experiments generally strive for a steady state condition, with the electrolyte being replaced periodically. There are also "heat after death" experiments, where the evolution of heat is monitored after the electric current is turned off.
The most basic setup of a cold fusion cell consists of two electrodes submerged in a solution containing palladium and heavy water. The electrodes are then connected to a power source to transmit electricity from one electrode to the other through the solution. Even when anomalous heat is reported, it can take weeks for it to begin to appear – this is known as the "loading time," the time required to saturate the palladium electrode with hydrogen (see "Loading ratio" section).
The Fleischmann and Pons early findings regarding helium, neutron radiation and tritium were never replicated satisfactorily, and its levels were too low for the claimed heat production and inconsistent with each other. Neutron radiation has been reported in cold fusion experiments at very low levels using different kinds of detectors, but levels were too low, close to background, and found too infrequently to provide useful information about possible nuclear processes.
Excess heat and energy production
An excess heat observation is based on an energy balance. Various sources of energy input and output are continuously measured. Under normal conditions, the energy input can be matched to the energy output to within experimental error. In experiments such as those run by Fleischmann and Pons, a cell operating steadily at one temperature transitions to operating at a higher temperature with no increase in applied current. If higher temperatures were real, and not experimental artifact, the energy balance would show an unaccounted term. In the Fleischmann and Pons experiments, the rate of inferred excess heat generation was in the range of 10–20% of total input, though this could not be reliably replicated by most researchers. Researcher Nathan Lewis discovered that the excess heat in Fleischmann and Pons's original paper was not measured, but estimated from measurements that didn't have any excess heat.
Unable to produce excess heat or neutrons, and with positive experiments being plagued by errors and giving disparate results, most researchers declared that heat production was not a real effect and ceased working on the experiments.
In 1993, after the initial discrediting, Fleischmann reported "heat-after-death" experiments: where excess heat was measured after the electric current supplied to the electrolytic cell was turned off. This type of report also became part of subsequent cold fusion claims.
Helium, heavy elements, and neutrons
Known instances of nuclear reactions, aside from producing energy, also produce nucleons and particles on readily observable ballistic trajectories. In support of their claim that nuclear reactions took place in their electrolytic cells, Fleischmann and Pons reported a neutron flux of 4,000 neutrons per second, as well as detections of tritium. The classical branching ratio for previously known fusion reactions that produce tritium would predict, with 1 watt of power, the production of 1012 neutrons per second, levels that would have been fatal to the researchers. In 2009, Mosier-Boss et al. reported what they called the first scientific report of highly energetic neutrons, using CR-39 plastic radiation detectors, but the claims cannot be validated without a quantitative analysis of neutrons.
Several medium and heavy elements like calcium, titanium, chromium, manganese, iron, cobalt, copper and zinc have been reported as detected by several researchers, like Tadahiko Mizuno or George Miley. The report presented to the DOE in 2004 indicated that deuterium-loaded foils could be used to detect fusion reaction products and, although the reviewers found the evidence presented to them as inconclusive, they indicated that those experiments did not use state of the art techniques.
In response to skepticism about the lack of nuclear products, cold fusion researchers have tried to capture and measure nuclear products correlated with excess heat. Considerable attention has been given to measuring 4He production. However, the reported levels are very near to background, so contamination by trace amounts of helium normally present in the air cannot be ruled out. In the report presented to the DOE in 2004, the reviewers' opinion was divided on the evidence for 4He; with the most negative reviews concluding that although the amounts detected were above background levels, they were very close to them and therefore could be caused by contamination from air.
One of the main criticisms of cold fusion was that deuteron-deuteron fusion into helium was expected to result in the production of gamma rays—which were not observed and were not observed in subsequent cold fusion experiments. Cold fusion researchers have since claimed to find X-rays, helium, neutrons and even nuclear transmutations. Some of them even claim to have found them using only light water and nickel cathodes. The 2004 DOE panel expressed concerns about the poor quality of the theoretical framework cold fusion proponents presented to account for the lack of gamma rays.
Many years after the 1989 experiment, cold fusion researchers still haven't agreed on a single theoretical explanation or on a single experimental method that can produce replicable results  and continue to offer new proposals, which also fail to convince mainstream scientists.
Hydrogen and its isotopes can be absorbed in certain solids, including palladium hydride, at high densities. This creates a high partial pressure, reducing the average separation of hydrogen isotopes, but nowhere near enough to create the fusion rates claimed in the original experiment. It was proposed that a higher density of hydrogen inside the palladium and a lower potential barrier could raise the possibility of fusion at lower temperatures than expected from a simple application of Coulomb's law. Electron screening of the positive hydrogen nuclei by the negative electrons in the palladium lattice was suggested to the 2004 DOE commission, but the panel found the theoretical explanations (Charge Element 2) to be the weakest part of cold fusion claims.
Skeptics have called cold fusion explanations ad hoc and lacking rigor, and state that they are used by proponents simply to disregard the negative experiments—a symptom of pathological science.
Incompatibilities with conventional fusion
There are many reasons conventional fusion is an unlikely explanation for the experimental results described above.[text 8]
Because nuclei are all positively charged, they strongly repel one another. Normally, in the absence of a catalyst such as a muon, very high kinetic energies are required to overcome this repulsion. Extrapolating from known fusion rates, the rate for uncatalyzed fusion at room-temperature energy would be 50 orders of magnitude lower than needed to account for the reported excess heat.
In muon-catalyzed fusion there are more fusions because the presence of the muon causes deuterium nuclei to be 207 times closer than in ordinary deuterium gas. But deuterium nuclei inside a palladium lattice are further apart than in deuterium gas, and there should be fewer fusion reactions, not more.
Paneth and Peters in the 1920s already knew that palladium can absorb up to 900 times its own volume of hydrogen gas, storing it at several thousands of times the atmospheric pressure. This led them to believe that they could increase the nuclear fusion rate by simply loading palladium rods with hydrogen gas. Tandberg then tried the same experiment but used electrolysis to make palladium absorb more deuterium and force the deuterium further together inside the rods, thus anticipating the main elements of Fleischmann and Pons' experiment. They all hoped that pairs of hydrogen nuclei would fuse together to form helium nuclei, which at the time were very needed in Germany to fill zeppelins, but no evidence of helium or of increased fusion rate was ever found.
This was also the belief of geologist Palmer, who convinced Steve Jones that the helium-3 occurring naturally in Earth came from the fusion of deuterium inside catalysts like palladium. This led Jones to independently make the same experimental setup as Fleischmann and Pons (a palladium cathode submerged in heavy water, absorbing deuterium via electrolysis). Fleischmann and Pons had the same incorrect belief, but they calculated the pressure to be of 1027 atmospheres, when CF experiments only achieve a ratio of one to one, which only has between 10,000 and 20,000 atmospheres.[text 9] Huizenga says they had misinterpreted the Nernst equation, leading them to believe that there was enough pressure to bring deuterons so close to each other that there would be spontaneous fusions.
Lack of expected reaction products
Conventional deuteron fusion is a two-step process,[text 8] in which an unstable high energy intermediary is formed:
Experiments have observed only three decay pathways for this excited-state nucleus, with the branching ratio showing the probability that any given intermediate follows a particular pathway.[text 8] The products formed via these decay pathways are:
- 4He* → n + 3He + 3.3 MeV (ratio=50%)
- 4He* → p + 3H + 4.0 MeV (ratio=50%)
- 4He* → 4He + γ + 24 MeV (ratio=10−6)
Only about one in one million of the intermediaries decay along the third pathway, making its products comparatively rare when compared to the other paths. This result is consistent with the predictions of the Bohr model.[text 10] If one watt ( 1 eV = 1.602 x 10−19 joule) of nuclear power were produced from deuteron fusion consistent with known branching ratios, the resulting neutron and tritium (3H) production would be easily measured. Some researchers reported detecting 4He but without the expected neutron or tritium production; such a result would require branching ratios strongly favouring the third pathway, with the actual rates of the first two pathways lower by at least five orders of magnitude than observations from other experiments, directly contradicting both theoretically predicted and observed branching probabilities.[text 8] Those reports of 4He production did not include detection of gamma rays, which would require the third pathway to have been changed somehow so that gamma rays are no longer emitted.[text 8]
The known rate of the decay process together with the inter-atomic spacing in a metallic crystal makes heat transfer of the 24 MeV excess energy into the host metal lattice prior to the intermediary's decay inexplicable in terms of conventional understandings of momentum and energy transfer, and even then we would see measurable levels of radiations. Also, experiments indicate that the ratios of deuterium fusion remain constant at different energies. In general, pressure and chemical environment only cause small changes to fusion ratios. An early explanation invoked the Oppenheimer–Phillips process at low energies, but its magnitude was too small to explain the altered ratios.
Setup of experiments
In 1989, after Fleischmann and Pons had made their claims, many research groups tried to reproduce the Fleischmann-Pons experiment, without success. A few other research groups however reported successful reproductions of cold fusion during this time. In July 1989 an Indian group of BARC (P. K. Iyengar and M. Srinivasan) and in October 1989 a team from USA (Bockris et al.) reported on creation of tritium. In December 1990 Professor Richard Oriani of Minnesota University reported excess heat.[notes 4]
Groups that did report successes found that some of their cells were producing the effect where other cells that were built exactly the same and used the same materials were not producing the effect. Researchers that continued to work on the topic have claimed that over the years many successful replications have been made, but still have problems getting reliable replications. Reproducibility is one of the main principles of the scientific method, and its lack led most physicists to believe that the few positive reports could be attributed to experimental error.[text 11] The DOE 2004 report said among its conclusions and recommendations:
"Ordinarily, new scientific discoveries are claimed to be consistent and reproducible; as a result, if the experiments are not complicated, the discovery can usually be confirmed or disproved in a few months. The claims of cold fusion, however, are unusual in that even the strongest proponents of cold fusion assert that the experiments, for unknown reasons, are not consistent and reproducible at the present time. (...) Internal inconsistencies and lack of predictability and reproducibility remain serious concerns. (...) The Panel recommends that the cold fusion research efforts in the area of heat production focus primarily on confirming or disproving reports of excess heat."
As David Goodstein explains, proponents say that the positive results with excess heat and neutron emission are enough to prove that the phenomenon was real, that negative results didn't count because they could be caused by flaws in the setup, and that you can't prove an idea false by simply having a negative replication. This is a reversal of Karl Popper's falsifiability, which says that you can't prove ideas true, never mind how many times your experiment is successful, and that a single negative experiment can prove your idea wrong. Most scientists follow Popper's idea of falsifiability and discarded cold fusion as soon as they weren't able to replicate the effect in their own laboratory. Goodstein notes that he was impressed by a "particularly elegant, well designed experiment" and warns that by ignoring such results "science is not functioning normally." 
Cold fusion researchers (McKubre since 1994, ENEA in 2011) have posited that a cell that was loaded with a deuterium/palladium ratio lower than 100% (or 1:1) would never produce excess heat. Storms added in 1996 that the load ratio has to be maintained during many hours of electrolysis before the effects appear. Since most of the negative replications in 1989–1990 didn't report their ratios, this has been proposed as an explanation for failed replications. This loading ratio is tricky to obtain, and some batches of palladium never reach it because the pressure causes cracks in the palladium, allowing the deuterium to escape. Unfortunately, Fleischmann and Pons never disclosed the deuterium/palladium ratio achieved in their cells, there are no longer any batches of the palladium used by Fleischmann and Pons (because the supplier uses now a different manufacturing process), and researchers still have problems finding batches of palladium that achieve heat production reliably.
Misinterpretation of data
Some research groups initially reported that they had replicated the Fleischmann and Pons results but later retracted their reports and offered an alternative explanation for their original positive results. A group at Georgia Tech found problems with their neutron detector, and Texas A&M discovered bad wiring in their thermometers. These retractions, combined with negative results from some famous laboratories, led most scientists to conclude, as early as 1989, that no positive result should be attributed to cold fusion.
The calculation of excess heat in electrochemical cells involves certain assumptions. Errors in these assumptions have been offered as non-nuclear explanations for excess heat.
One assumption made by Fleischmann and Pons is that the efficiency of electrolysis is nearly 100%, meaning nearly all the electricity applied to the cell resulted in electrolysis of water, with negligible resistive heating and substantially all the electrolysis product leaving the cell unchanged. This assumption gives the amount of energy expended converting liquid D2O into gaseous D2 and O2. The efficiency of electrolysis is less than one if hydrogen and oxygen recombine to a significant extent within the calorimeter. Several researchers have described potential mechanisms by which this process could occur and thereby account for excess heat in electrolysis experiments.
Another assumption is that heat loss from the calorimeter maintains the same relationship with measured temperature as found when calibrating the calorimeter. This assumption ceases to be accurate if the temperature distribution within the cell becomes significantly altered from the condition under which calibration measurements were made. This can happen, for example, if fluid circulation within the cell becomes significantly altered. Recombination of hydrogen and oxygen within the calorimeter would also alter the heat distribution and invalidate the calibration.
According to John R. Huizenga, who co-chaired the DOE 1989 panel, if unexplained excess heat is not accompanied by a commensurate amount of nuclear products, then it must not be interpreted as nuclear in origin, but as a measuring error.
Initial lack of control experiments
Control experiments are part of the scientific method to prove that the measured effects do not happen by chance, but are direct results of the experiment. One of the points of criticism of Fleischmann and Pons was the lack of control experiments.
Although details have not surfaced, it appears that the University of Utah forced the 23 March 1989 Fleischmann and Pons announcement to establish priority over the discovery and its patents before the joint publication with Jones. The Massachusetts Institute of Technology (MIT) announced on 12 April 1989 that it had applied for its own patents based on theoretical work of one of its researchers, Peter L. Hagelstein, who had been sending papers to journals from the 5th to the 12th of April. On 2 December 1993 the University of Utah licensed all its cold fusion patents to ENECO, a new company created to profit from cold fusion discoveries, and on March 1998 it said that it would no longer defend its patents.
The U.S. Patent and Trademark Office (USPTO) now rejects patents claiming cold fusion. Esther Kepplinger, the deputy commissioner of patents in 2004, said that this was done using the same argument as with perpetual motion machines: that they do not work. Patent applications are required to show that the invention is "useful", and this utility is dependent on the invention's ability to function. In general USPTO rejections on the sole grounds of the invention's being "inoperative" are rare, since such rejections need to demonstrate "proof of total incapacity", and cases where those rejections are upheld in a Federal Court are even rarer: nevertheless, in 2000, a rejection of a cold fusion patent was appealed in a Federal Court and it was upheld, in part on the grounds that the inventor was unable to establish the utility of the invention.[notes 5]
A U.S. patent might still be granted when given a different name to disassociate it from cold fusion, though this strategy has had little success in the US: the same claims that need to be patented can identify it with cold fusion, and most of these patents cannot avoid mentioning Fleischmann and Pons' research due to legal constraints, thus alerting the patent reviewer that it is a cold-fusion-related patent. David Voss said in 1999 that some patents that closely resemble cold fusion processes, and that use materials used in cold fusion, have been granted by the USPTO. The inventor of three such patents had his applications initially rejected when they were reviewed by experts in nuclear science; but then he rewrote the patents to focus more in the electrochemical parts so they would be reviewed instead by experts in electrochemistry, who approved them. When asked about the resemblance to cold fusion, the patent holder said that it used nuclear processes involving "new nuclear physics" unrelated to cold fusion. Melvin Miles was granted in 2004 a patent for a cold fusion device, and in 2007 he described his efforts to remove all instances of "cold fusion" from the patent description to avoid having it rejected outright.
A patent only legally prevents others from using or benefiting from one's invention. However, the general public perceives a patent as a stamp of approval, and a holder of three cold fusion patents said the patents were very valuable and had helped in getting investments.
In Undead Science, sociologist Bart Simon gives some examples of cold fusion in popular culture, saying that some scientists use cold fusion as a synonym for outrageous claims made with no supporting proof, and courses of ethics in science give it as an example of pathological science. It has appeared as a joke in Murphy Brown and The Simpsons. It was adopted as a product name by software Coldfusion and a brand of protein bars (Cold Fusion Foods). It has also appeared in advertising as a synonym for impossible science, for example a 1995 advertisement for Pepsi Max. In the 1994 comedy I.Q., Albert Einstein makes up a "cold fusion" science to help his niece start a romantic relationship.
Y-energy, produced by cold fusion, plays an important role in the plot of Nancy Kress's Sleepless series, which comprises the hard sci-fi novels Beggars in Spain, Beggars and Choosers, and Beggars Ride as well as the short story Sleeping Dogs.
The plot of The Saint, a 1997 action-adventure film, parallels the story of Fleischmann and Pons, although with a different ending.  The film might have affected the public perception of cold fusion, pushing it further into the science fiction realm.
The plot of Chain Reaction, a 1996 science-fiction film, depicts a scientist discovering a new energy source that burns hydrogen and leaves only water as residue, although it is not left clear whether it is cold fusion or some form of hot fusion.
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- Huizenga 1993, p. viii "Enhancing the probability of a nuclear reaction by 50 orders of magnitude (...) via the chemical environment of a metallic lattice, contradicted the very foundation of nuclear science.", Goodstein 1994, Scaramuzzi 2000, p. 4
- Close 1992, pp. 32, 54, Huizenga 1993, p. 112
- Close 1992, pp. 19–20
- Close 1992, pp. 63–64
- Close 1992, pp. 64–66
- Close 1992, pp. 32–33
- Huizenga 1993, pp. 33, 47
- Huizenga 1993, pp. 7
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- Close 1992, pp. 308–309 "Some radiation would emerge, either electrons ejected from atoms or X-rays as the atoms are disturbed, but none were seen."
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- Taubes 1993, pp. 364–365
- Platt 1998
- Simon 2002, pp. 145–148
- Huizenga 1993, p. 82
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- Biberian 2007 – (Input power is calculated by multiplying current and voltage, and output power is deduced from the measurement of the temperature of the cell and that of the bath")
- Fleischmann et al. 1990, Appendix
- Shkedi et al. 1995
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- Shanahan 2002
- Biberian 2007 – ("Almost all the heat is dissipated by radiation and follows the temperature fourth power law. The cell is calibrated . . .")
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- Voss 1999b, in reference to US patents 5,616,219, 5,628,886 and 5,672,259
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- Fox 1994 in reference to Canon's EP 568118
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- References with quotations or other additional text
- Taubes 1993, p. 214 says the similarity was discovered on April 13, 1991, by a computer scientist and disseminated via the Internet. Another computer scientist translated an old article in the Swedish technical journal Ny Teknika. Taubes says: "Ny Teknika seemed to believe that Tanderg had missed on the discovery of the century, done in by an ignorant patent bureau. When Pons heard the story, he agreed."
- Brigham Young University discovered Tandberg's 1927 patent application, and showed it as proof that Utah University didn't have priority for the discovery of cold fusion, cited in Wilford, John Noble (24 April 1989), "Fusion Furor: Science's Human Face", New York Times.
- Taubes 1993, pp. 225–226, 229–231 "[p. 225] Like those of MIT or harvard or Caltech, and official Stanford University announcement is not something to be taken lightly. (...) [p. 230] With the news out of Stanford, the situation, as one Department of Energy official put it, 'had come to a head'. The department had had its laboratory administrators send emissaries to Washington immediately. (...) the secretary of energy, had made the pursuit of cold fusion the department's highest priority (...) The government laboratories had free reign [sic] to pursue their cold fusion research, Ianniello said, to use whatever resources they needed, and DOE would cover the expenses. (...) [p. 231] While Huggins may have appeared to be the savior of cold fusion, his results also made him, and Stanford, a prime competitor [of MIT] for patents and rights.", Close 1992, pp. 184, 250 "[p. 184] The only support for Fleischmann and Pons [at the 26 April US congress hearings] came from Robert Huggins (...) [p. 250] The British Embassy in Washington rushed news of the proceedings to the Cabinet Office and Department of Energy in London. (...) noting that Huggin's heat measurements lent some support but that he had not checked for radiation, and also emphasizing that none of the US government laboratories had yet managed to replicate the effect.", Huizenga 1993, p. 56 "Of the above speakers (in the US Congress hearings) only Huggins supported the Fleischmann-Pons claim of excess heat."
- Taubes 1993, pp. 418–420 "While it is not possible for us to categorically exclude spiking as a possibility, it is our opinion, that possibility is much less probable than that of inadvertent contamination or other explained factors in the measurements.", Huizenga 1993, pp. 128–129
- "Physicist Claims First Real Demonstration of Cold Fusion", Physorg.com, 2008-05-27.. The peer reviewed papers referenced at the end of the article are "The Establishment of Solid Nuclear Fusion Reactor" – Journal of High Temperature Society, Vol. 34 (2008), No. 2, pp.85–93 and "Atomic Structure Analysis of Pd Nano-Cluster in Nano-Composite Pd⁄ZrO2 Absorbing Deuterium" – Journal of High Temperature Society, Vol. 33 (2007), No. 3, pp.142–156
- Ackermann 2006 "(p. 11) Both the Polywater and Cold Nuclear Fusion journal literatures exhibit episodes of epidemic growth and decline."
- Close 1992, pp. 254–255, 329 "[paraphrasing Morrison] The usual cycle in such cases, he notes, is that interest suddenly erupts (...) The phenomenon then separates the scientists in two camps, believers and skeptics. Interest dies as only a small band of believers is able to 'produce the phenomenon' (...) even in the face of overwhelming evidence to the contrary, the original practitioners may continue to believe in it for the rest of the careers.", Ball 2001, p. 308, Simon 2002, pp. 104, Bettencourt 2009
- US DOE 1989, p. 29, Schaffer 1999, pp. 1, 2, Scaramuzzi 2000, p. 4, Close 1992, pp. 265–268 "(...) the equality of the two channels is known to be preserved from high energy through 20 keV and down to about 5 keV. A reason that it is not as well known below this energy because the individual rates are so low. However, the rate is known at room temperature from muon catalysed fusion experiments. (...) theory can even accommodate the subtle variations in the ratio at these low temperatures [below 200 °C, where the first channel predominates due to 'molecular resonance excitation']", Huizenga 1993, pp. 6–7, 35–36, 75, 108–109, 112–114, 118–125, 130, 139, 173, 183, 217–218, 243–245 "[page 7] [the first two branches of the reaction] have been studied over a range of deuteron kinetic energies down to a few kiloelectron volts (keV). (...) [branching ratio] appear to be essentially constant at low energies. There is no reason to think that these branching ratios would be measurably altered for cold fusion. [page 108] The near equality of [the first two reaction branches] has been verified also for muon-catalyzed fusion. [in this case the ratio is 1.4 in favor of the first branch, due to 'the p-wave character of muon capture in muon-catalyzed fusion.']", Goodstein 1994 (explaining Pons and Fleischmann would both be dead if they had produced neutrons in proportion to their measurements of excess heat) ("It has been said . . . three 'miracles' are necessary [for D + D fusion to behave in a way consistent with the reported results of cold fusion experiments]")
- Close 1992, pp. 257–258, Huizenga 1993, pp. 33, 47–48, 79, 99–100, 207, 216 "By comparing cathode charging of deuterium into palladium with gas charging for a D7Pd ratio of unity, one obtains an equivalent pressure of 1.5x104 atmospheres, a value more than 20 orders of magnitude (1020) less than the Fleischmann-Pons claimed pressure.", Huizenga also cites US DOE 2004, pp. 33–34 in chapter IV. Materials Characterization: D. 'Relevant' Materials Parameters: 2. Confinement Pressure, which has a similar explanation.
- Huizenga 1993, pp. 6–7, 35–36 "[page 7] This well established experimental result is consistent with the Bohr model, which predicts that the compound nucleus decays predominantly by particle emission [first two branches], as opposed to radioactive capture [third branch], whenever it is energetically possible."
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