# RF resonant cavity thruster

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"EM Drive" redirects here. For electromagnetic spacecraft drives, see Electrically powered spacecraft propulsion. For electromagnetic terrestrial drives, see electric motor, linear motor, and induction motor.
Inventor Controversial invention Prototype resonant cavity thruster built by NASA's Eagleworks Laboratories Roger Shawyer (EmDrive), Guido Fetta (Cannae Drive) Conservation of momentum, Newton's Third Law

A radio frequency (RF) resonant cavity thruster is a controversial proposed type of electromagnetic thruster where an anisotropic electromagnetic field inside the microwave cavity purportedly transfers momentum to the cavity producing thrust.

Conventional thrusters expel propellant, such as when ships move masses of water, aircraft move masses of air, or rockets expel exhaust products. A drive which does not expel propellant in order to produce a reaction force, but rather provides thrust from the electromagnetic field without any external interaction, is a reactionless drive. Such a closed system need not carry propellant and hence would be capable of always producing thrust, as long as it is powered, and would appear to violate the conservation of momentum and Newton's third law, leading many physicists to believe such thrusters to be impossible, labeling them as pseudoscience.[1] Conversely, if the thrust is due to an interaction with an external field, the drive is then an open system, still propellantless but not reactionless, like a conventional spacecraft accelerates at the expense of the momentum of the planet it orbits during a gravity assist maneuver.[2]

Despite the lack of theoretical consensus as to how such devices can work inventors continue to try to develop such drives because of the possibility of supporting long voyages in space, where propellant is a primary limiting factor.[3] Roger Shawyer published a design with a tapered conical cavity, which he called the EmDrive. Guido Fetta later published a design with a pillbox cavity, which he called the Cannae Drive.[4][5] A few groups of physicists have tried to build and test their own thrusters, based on the designs published by Shawyer and Fetta. Juan Yang at Xi'an's Northwestern Polytechnical University (NWPU) initially reported thrust,[6] but retracted her claims in 2016 after a measurement error was identified and an improved setup measured no significant thrust.[7][8] Harold White's group at NASA's Eagleworks Laboratories, which tests unusual rocket designs, tested a version of these designs. In 2015, they ran a test run that observed thrust of 40–100 μN from inputs of 40–80 W. Their paper was published in the Journal of Propulsion and Power.[9] At a press conference in Beijing on 10 December 2016 held by the China Academy of Space Technology (CAST) Dr Yue Chen, head of the communication satellite division at CAST, confirmed the agency is already testing an EmDrive in low Earth orbit onboard an "experimental verification platform". It stated it has successfully measured a thrust onboard laboratory conditions and plans to add the technology to Chinese satellites as soon as possible.[10][11][12][13]

This concept for a thruster drew attention in the 2000s when a few popular science magazines wrote articles about it as an "impossible" drive.[14][15] There was clear criticism of misleading claims in the media[16] that the drive had been "validated by NASA" following White's first test reports in 2014.[15] The lack of an unbiased treatment in the media, from both polarized sides, has been raised by Tau Zero Foundation's scientist reviewers.[17]

## History and context

Electromagnetic propulsion designs which operate on the principle of reaction mass have been around since the start of the 20th century. In the 1960s, extensive research was conducted on two designs which emit high velocity ionized gases in similar ways: ion thrusters that convert propellant to ions and accelerate and eject them via electric potentials, and plasma thrusters that convert propellant to plasma ions and accelerate and eject them via plasma currents. In the latter, plasma can be generated from an intense source of microwave or other radio-frequency (RF) energy, and in combination with a resonant cavity, can be tuned to resonate at a precise frequency.[18]

A low-propellant space drive has long been a goal for space exploration, since the propellant is dead weight that must be lifted and accelerated with the ship all the way from launch until the moment it is used (see Tsiolkovsky rocket equation). Gravity assists, Solar sails, and beam-powered propulsion from a spacecraft-remote location such as the ground or in orbit, are useful because they allow a ship to gain speed without propellant. However, some of these methods do not work in deep space. Shining a light out of the ship provides a small force from radiation pressure, i.e., using photons as a form of propellant, but the force is far too weak (for a given amount of input power) to be useful in practice.

A true zero-propellant drive is widely believed to be impossible, but if it existed, it could potentially be used for travel in many environments including deep space. Thus, such drives are a popular concept in science fiction, and their improbability contributes to enthusiasm for exploring such designs.[3][4][5]

## Controversy

The design of such thrusters and the theories that attempt to explain how they might work are all matters of controversy, more so claims that it is an example of a reactionless drive, in violation of conservation of momentum.[5][19]

John C. Baez, a mathematical physicist at the University of California, Riverside, and Australian science fiction writer Greg Egan said that as of 2006 the positive results reported by Shawyer were likely misinterpretations of experimental errors.[20]

Physicists Eric W. Davis at the Institute for Advanced Studies in Austin, and Sean M. Carroll at the California Institute of Technology,[21] have said in 2015 that the thrust measured in both the Dresden University experiments and in earlier Eagleworks publications were indicative of thermal effect errors.

White's 2014 conference paper suggested that resonant cavity thrusters could work by transferring momentum to the "quantum vacuum virtual plasma".[22] Baez and Carroll criticized this explanation, because in the standard description of vacuum fluctuations, virtual particles do not behave as a plasma; Carroll also noted that the quantum vacuum has no "rest frame", providing nothing to push against, so it can't be used for propulsion.[23][24]

White's 2016 peer-reviewed paper[9] invoked the pilot-wave theory to suggest how the quantum vacuum could be used to generate thrust, however the paper noted that such interpretations are “not the dominant view of physics today.”[1]

## Designs and prototypes

Simplified schematic drawing of an EmDrive prototype by Tajmar and Fiedler, according to Shawyer's model

### EmDrive

In 2001, Shawyer founded Satellite Propulsion Research Ltd, in order to work on the EmDrive, a drive that he said used a resonant cavity to produce thrust without propellant. The company was backed by a "Smart Award" grant from the UK Department of Trade and Industry.[5] In December 2002, he described a working prototype with a total thrust of about 0.02 newtons powered by an 850 W cavity magnetron. The device could operate for only a few dozen seconds before the magnetron failed, due to overheating.[25]

#### Second device and New Scientist article

In October 2006, Shawyer conducted tests on a new water-cooled prototype and said that it had increased thrust.[26] He planned to have the device ready to use in space by May 2009 and was considering making the resonant cavity a superconductor.[26]

New Scientist magazine[27] featured the EmDrive on the cover of 8 September 2006 issue. The article portrayed the device as plausible and emphasized the arguments of those who held that point of view. Science fiction author Greg Egan distributed a public letter stating that "a sensationalist bent and a lack of basic knowledge by its writers" made the magazine's coverage unreliable, sufficient "to constitute a real threat to the public understanding of science". Especially, Egan said he was "gobsmacked by the level of scientific illiteracy" in the magazine's coverage, alleging that it used "meaningless double-talk" to obfuscate the problem of conservation of momentum. The letter was endorsed by mathematical physicist John C. Baez and posted on his blog.[20][23]

Egan also recommended[20] that New Scientist publish a refutation penned by John P. Costella (a data scientist with a PhD in theoretical physics).[27][28] New Scientist editor Jeremy Webb responded to critics, stating,

It is a fair criticism that New Scientist did not make clear enough how controversial Roger Shawyer’s engine is. We should have made more explicit where it apparently contravenes the laws of nature and reported that several physicists declined to comment on the device because they thought it too contentious ... The great thing is that Shawyer's ideas are testable. If he succeeds in getting his machine flown in space, we will know soon enough if it is ground-breaking device or a mere flight of fancy.[14]

New Scientist also published a letter from the former technical director of EADS Astrium, who stated: "I reviewed Roger’s work and concluded that both theory and experiment were fatally flawed. Roger was advised that the company had no interest in the device, did not wish to seek patent coverage and in fact did not wish to be associated with it in any way",[29] and a letter from physicist Paul Friedlander, who stated

As I read it, I, like the thousands of other physicists who will have read it, immediately realised that this was impossible as described. Physicists are trained to use certain fundamental principles to analyse a problem and this claim clearly flouted one of them ... The Shawyer drive is as impossible as perpetual motion. Relativistic conservation of momentum has been understood for a century and dictates that if nothing emerges from Shawyer’s device then its centre of mass will not accelerate. It is likely that Shawyer has used an approximation somewhere in his calculations that would have been reasonable if he hadn’t then multiplied the result by 50,000. The reason physicists value principles such as conservation of momentum is that they act as a reality check against errors of this kind.[30]

#### Later work

In 2007, the UK Department of Trade and Industry granted SPR an ITAR export licence to Boeing in the US.[31] In December 2008, Shawyer was invited to The Pentagon to make a presentation on the EmDrive, then Boeing confirmed they wanted to licence the technology. The UK Ministry of Defence agreed to a technology transfer, and SPR designed, built and tested a Flight Thruster for use on a test satellite. According to Shawyer, the 10-month contract was completed by July 2010 and the Flight Thruster, giving 18 grams of thrust, transferred to Boeing. Afterwards, SPR never received a licence agreement and communication with Boeing stopped.[32] Questioned on that matter in 2012, a Boeing representative confirmed Boeing Phantom Works used to explore exotic forms of space propulsion including Shawyer's drive some years ago, but such work has since ceased, stating that "Phantom Works is not working with Mr. Shawyer,” and adding that the company is no longer pursuing this avenue.[4] No further details of Boeing's Flight Thruster have been made public.

In 2013 and 2014, Shawyer presented ideas for 'second-generation' EmDrive designs and applications, at the annual International Astronautical Congress. A paper based on his 2014 presentation was published in Acta Astronautica in 2015.[33] It describes a model for a superconducting resonant cavity and three models for thrusters with multiple cavities, with hypothetical applications for launching space probes.

In October 2016, a UK patent application describing a new superconducting EmDrive was published,[34] followed by a first international version.[35] Shortly thereafter Shawyer unveiled the creation of Universal Propulsion Ltd., a new company aimed to develop and commercialise such thrusters, as a joint venture with Gilo Industries Group, a small UK aerospace company designing and selling paramotors and the Parajet Skycar.[32]

### Cannae and other drives

The Cannae Drive (formerly Q-drive),[36] another engine designed to generate propulsion from a resonant cavity without propellant, is another implementation of this idea. Its cavity is also asymmetric, but relatively flat rather than a truncated cone. It was designed by Fetta in 2006 and has been promoted within the US through his company, Cannae LLC, since 2011.[36][37][38][39][40] In 2016, Fetta announced plans to eventually launch a cubesat satellite containing a version of the Cannae Drive, which they would run for 6 months to observe how it functions in space.[41]

Researchers working under Dr Juan Yang at the Northwestern Polytechnical University (NWPU) in Xi'an developed their own prototype resonant cavity thruster in 2008, publishing a report in their university's journal on the theory behind such devices. In 2012–2014 they reported measuring net thrust in a series of preliminary tests, however in 2014 they reported that this had been an experimental error introduced by a power cable. In a revised study with an improved model, they reported that any thrust generated was too small for their setup to measure (less than 1 mN for a 230 W power source).[4][42][43]

In 2016, Dr Yue Chen at China Academy of Space Technology (CAST) filed several patent applications describing various RF resonant cavity thruster designs, notably a mean to recursively stack several short resonant cavities to improve thrust,[44] and a design based on a semicylinder instead of a frustum,[45] before announcing tests in low Earth orbit.[46]

## Device structure

All these devices use microwaves, produced by high power vacuum tubes (like a cavity magnetron or a traveling-wave tube (TWTA)) or solid-state field-effect transistor RF generators, that are directed into a metallic, fully enclosed conically tapered high Q resonant microwave cavity. They have a greater area at one end of the device and, for some versions, a dielectric resonator added in front of the narrower end. They require an electric power source to run the microwave generator, but no propellant.

Simulated transverse magnetic modes TM20, (red high, blue low) at the wide and narrow ends of a metal tapered cavity differ from each other, forming an anisotropic interference of electromagnetic waves[47]

The electromagnetic waves associated with the geometry of a truncated cone are very complex, creating an anisotropic electromagnetic field. Unlike the geometry of a cylinder, there are no analytical solutions for the resonant modes of a truncated cone. This geometry intrinsically does not suffer from mode degeneration. A sharp distinction between the propagating and evanescent electromagnetic waves cannot be achieved and as a result a non-zero power flow runs through truncated cone focusing a portion of energy near the apex. There is no well-defined cutoff wavelength but rather a cutoff radius. Due to the absence of sharp cut off wavelengths the interior of the truncated cone can support inhomogeneous field amplitudes.[48][49][50][51] There are many other situations where the electromagnetic field is believed to be anisotropic for example, doped active centers in anisotropic glasses,[52][53][54] emission of active atoms in a waveguide,[55] spontaneous emission from atoms adsorbed on metallic or dielectric surfaces,[56] emission in a spatially dispersive medium[57] which allows the possibility of longitudinal electromagnetic fields (classically not found in free space but in substances like plasmas) and emission between two conducting plates,[58][59][60] which is a problem of great interest due to the Casimir effect.[61][62][63]

## Hypotheses

No mainstream scientific theory explains why such devices should produce thrust, however various attempts have been made to explain reported thrust measurements by the inventors and replicators.

### Noise, experimental or measurement error

The simplest explanation is that any thrust detected is due to experimental error or noise. In all of the experiments set up, a very large amount of energy is going into generating a tiny amount of thrust. Even the smallest stray signal – for instance from thermal or magnetic effects – could produce what looks like a thrust of that size. These experiments require more shielding from their environment than any of the experiments as of 2015 were able to provide, as each of those experimenters has noted. The strongest early result, from Yang's group in Xian, was later reported to be caused by a large experimental error.[7]

The 2016 Eagleworks paper discusses nine possible sources of experimental error.[1][64] For example, one possible source of error comes from the thermal expansion of the thruster's heat sink, which is offset from the device’s center of gravity; as it expands, it causes the resonant cavity to move. The authors attempt to compensate for that, but doing so incorrectly would produce erroneous results.[64]

A similar explanation is that imprecisions in measurement, variation in measurement, or publication bias, have led to a few positive observations with no statistical significance, while most negative observations were thrown out without being reported. [21]

### Radiation pressure

Shawyer has suggested thrust is caused by a radiation pressure imbalance between the two faces of the cavity.[42] He gave a presentation on this at the International Astronautical Congress 2014, later publishing it in the peer-reviewed Acta Astronautica.[33] In it he wrote, In an EmDrive engine, microwave energy is converted to mechanical force according to the thrust equation, derived from the basic radiation pressure equation: F= 2 P0 / c. Shawyer's thrust equation, derived from Allen Cullen's equations,[65] is given by:

${\displaystyle F={\frac {2P_{0}}{c}}\ Q_{u}\left({\frac {\lambda _{0}}{\lambda _{g1}}}-{\frac {\lambda _{0}}{\lambda _{g2}}}\right)\left(1-{\frac {\lambda _{0}^{2}}{\lambda _{g1}\lambda _{g2}}}\right)^{-1}}$

where ${\displaystyle F}$ is the force, ${\displaystyle P_{0}}$ is the incident power, ${\displaystyle c}$ is the speed of light, ${\displaystyle Q_{u}}$ is the unloaded Q factor of the cavity, ${\displaystyle \lambda _{0}}$ is the wavelength of the microwaves in free space, and ${\displaystyle \lambda _{g1}}$ and ${\displaystyle \lambda _{g2}}$ are the wavelengths at the end of the largest and smallest cross-section, respectively.

Shawyer insists the EmDrive is an open system. However, physicists point out that relying only on special relativity, without emitting anything and with no interaction with an outside field or matter, makes his drive a closed system. Since the two end plates are part of the thruster and the microwaves are trapped inside the cavity, standard Einstein–Maxwell equations and the conservation of momentum show no effective thrust can occur due to any force on the cavity caused by internal electromagnetic energy.[66]

### Vacuum energy

White suggested in 2014 that their model could be an example of a quantum vacuum thruster (QVT). This is a theoretical system that would use magnetohydrodynamics to generate thrust, similar to conventional plasma thrusters, only using the fleeting vacuum quantum fluctuations of the zero-point field as an extremely low-density plasma.[9][67][68]

White's 2016 paper states that pilot-wave theories, non-mainstream interpretations of quantum mechanics, may help explain how QVTs could "push off of the quantum vacuum and preserve the laws of conservation of energy and conservation of momentum.".

### Quantized inertia

A paper in EPL by Mike McCulloch, a Lecturer in Geomatics at Plymouth University, describes a possible method in which thrust from resonant cavities can be predicted using McCulloch's controversial theory of quantization of inertia (MiHsC).[69] McCulloch hypothesizes that inertia arises from an effect predicted by general relativity called Unruh radiation, that an accelerating object experiences black body radiation. Thus inertia is the pressure the Unruh radiation exerts on an accelerating body. At very small accelerations, Unruh wavelengths become so large they can no longer fit in the observable universe. When this happens, inertia is quantized. He pointed out possible observational evidence for this in the form of the otherwise unexplained jumps in momentum observed in some spacecraft as they fly past Earth toward other planets.[70][71][72][73][74] While this model allows the device to create thrust without breaking Newton's third law, it assumes that Unruh radiation is real, and requires the speed of light to change within the microwave cavity. This change in the speed of light is contrary to the central tenet of special relativity.[75] Unlike some other hypotheses used to explain the device, McCulloch's hypothesis is testable and McCulloch has suggested building a cavity where the length of the cavity is the same as the diameter of the small end, to cause the Unruh radiation to fit better in the small end, resulting in a reversal of thrust.[73]

### Photon leakage

Scientists in Finland have proposed a possible explanation of this phenomenon involving the propagation of microwave photons leaking from the closed metal cavity and thereby producing an exhaust momentum, satisfying the classical action-reaction principle.[76] This explanation relies on the wave-particle duality of electromagnetic radiation, postulating that the stochastic phases of the microwaves will (with some probability) result in destructive interference between microwaves which cancels their electromagnetic fields but allows continued propagation of the microwave photon pairs, generating net thrust consistent with the impulse-momentum theorem depending on the asymmetric shape of the cavity.[76][77][78][79][80]

The observed thrust of experimental results has been argued to exceed the maximum efficiency of a perfectly collimated photon rocket, comprised between 3.33 and 6.67 µN/kW.[81] However, the paper follows on White's idea of a degradable quantum vacuum for effective pair production,[citation needed] and Lewis' original concept of the photon which would be the conserved entity of nature, not its carried energy:[82] The authors argue that the environment modifies photon energy and that pairing of photons within the electromagnetic energy density gradient of a resonant cavity would cause a shift down in energy, and the loss of electromagnetic potential becomes available for thrust, so according to the authors the level of energy of the paired photon when it escapes the cavity and the associated thrust efficiency remain an open question. The authors also argue that the cavity walls become transparent for the photon pair when it forms; as it has no associated electromagnetic field, it escapes the cavity to sparser surroundings.[76]

### Warp field

2D visualisation of spacetime distortion induced by the Alcubierre metric.

It has been suggested that time-varying electromagnetic energy density could produce a local gradient in the gravitational potential (a distortion or warping of spacetime, sometimes called "warp fields"),[83] as in the theoretical Alcubierre drive or diametric drive. Warp fields have never been observed, however they could potentially be tested using interferometry.[84] White developed the White–Juday warp-field interferometer to attempt to detect such fields over short distances. His team used one to test a symmetric resonant cavity in 2013, and observed small anomalous effects.[85] However the effects have yet to be replicated on an asymmetric cavity, or in a vacuum to prevent interference from the heating of surrounding air.[86]

Physicist Fernando Minotti, building on work by Matt Visser,[87] estimated the forces on asymmetric electromagnetic resonant cavities using Brans–Dicke theory, an alternate framework for describing gravity that competes with general relativity. In Minoti's model, thrust results from gravitational forces on the cavity walls, with some scalar coupling field providing an effective negative energy source.

Minotti suggested that this model implies the direction of the force produced by a tapered resonant cavity would be dependent on its resonant mode, and the thrust magnitude would increase with the thickness and mass of the material the cavity is made of.

However, Minotti noted that Brans–Dicke theory is not accepted by the majority of the scientific community, and that his linear model also predicts large gravitational effects due to the Earth's magnetic field which have not been observed. He hypothesized that some nonlinear version of his model might provide a framework which does not predict such unreal effects.[88]

After Yang retracted her previous high power results,[7] Minotti completed a revaluation of the scalar-tensor theory fixing some inconsistencies. The equations are now derived without ad hoc conditions and Maxwell's equations are obtained in the weak field approximation with no unreal prediction.[89][90]

### Propellantless or reactionless drive

If the thrust produced by the RF resonant cavity thruster is due to an interaction with an external field, it is a propellantless drive constituting an open system that does not violate any physical law, for example like a conventional spacecraft accelerating at the expense of the momentum of the planet it orbits during a gravity assist maneuver.[2]

However true reactionless drives as closed systems are considered impossible for many reasons. For example, most are a form of perpetual motion machine. If thrust were produced without expelling momentum from the system in the opposite direction, the lack of momentum expulsion would make the device not only propellantless, but also reactionless, in the sense of violating Newton's Third Law and the conservation of momentum. Any such drive would require a new undiscovered physical law, which somehow had not been observed under any other conditions. The experimenters that have studied resonant cavity thrusters generally do not believe the drives are reactionless, and are trying to test one of the alternative hypotheses.[citation needed]

Finally, one case of a true reactionless drive as an open system, exchanging no momentum with the outside but still producing motion without violating physical laws, would be a device distorting spacetime, creating a gravitational potential like a relativistic Alcubierre drive or a low-velocity warp drive.[87]

## Testing and replication

### Tests by the inventors

In 2004, Roger Shawyer reported seven independent positive reviews from experts at BAE Systems, EADS Astrium, Siemens and the IEE,[91] however these are disputed. In a letter to New Scientist, the then-technical director of EADS Astrium (Shawyer's former employer) denied this, stating

"I reviewed Roger’s work and concluded that both theory and experiment were fatally flawed. Roger was advised that the company had no interest in the device, did not wish to seek patent coverage and in fact did not wish to be associated with it in any way."[29]

In 2011, Fetta tested a superconducting version of the Cannae drive. The RF resonant cavity was suspended inside a liquid helium-filled dewar. The weight of the cavity was monitored by load cells. Fetta theorized that when the device was activated and produced upward thrust, the load cells would detect the thrust as change in weight. When the drive was energized by sending 10.5 watt power pulses of RF power into the resonant cavity, there was, as predicted, a reduction in compressive force on the load cells consistent with thrust of 8-10 mN.

None of these results have been published in the scientific literature, or replicated by independent researchers. They have been posted on their inventors' websites.[92]

In 2015, Shawyer published an article in Acta Astronautica, summarising existing tests on the EmDrive. Of seven tests, four produced a measured force in the intended direction and three produced thrust in the opposite direction. Furthermore, in one test, thrust could be produced in either direction by varying the spring constants in the measuring apparatus.[93]

### Northwestern Polytechnical University

In 2008, a team of Chinese researchers led by Juan Yang (杨涓), professor of propulsion theory and engineering of aeronautics and astronautics at Northwestern Polytechnical University (NWPU) in Xi'an, Shaanxi, China, said that they had developed a valid electro-magnetic theory behind a microwave resonant cavity thruster.[6][94] A demonstration version of the drive was built and tested with different cavity shapes and at higher power levels in 2010. Using an aerospace engine test stand usually used to precisely test spacecraft engines like ion drives,[5][42][43] they reported a maximum thrust of 720 mN at 2,500 W of input power.[43] Yang noted that her results were tentative, and said she "[was] not able to discuss her work until more results are published".[5] This positive result was over 100x more thrust per input power than any other experiment, and inspired other groups to try to replicate their work. However in a followup paper, Yang could not reproduce the 2010 observation and suggested it was due to experimental error.[7]

In 2016, Yang's team published a paper, in which they refined their experimental setup, using a three-wire torsion pendulum to measure thrust. They tested two different power setups. In one trial, the power system was outside the cavity: in this case, they observed a "thrust" of 8-10 mN. In a second trial, the power system was within the cavity, and they measured no such thrust. Instead they observed an insignificant thrust below their noise threshold of 3 mN, fluctuating between ±0.7 mN with a measurement uncertainty of 80%. They concluded that they were unable to measure significant thrust; that "thrust" measured when using external power sources (as in their 2010 experiment) could be noise; and that it was important to use self-contained power systems for these experiments, and more sensitive pendulums with lower torsional stiffness.[7]

### NASA Eagleworks

Since 2011, White has had a team at NASA known as the Advanced Propulsion Physics Laboratory, or Eagleworks Laboratories, which is devoted to studying exotic propulsion concepts.[95] The group has investigated ideas for a wide range of untested and fringe proposals, including Alcubierre drives, drives that interact with the quantum vacuum, and RF resonant cavity thrusters.

In 2014, the group began testing resonant cavity thrusters of their own design and sharing some of their results. In November 2016, they published their first peer-reviewed paper on this work, in the Journal of Propulsion and Power.[9][96][97][98][99]

#### EmDrive and tapered cavities

In July 2014, Eagleworks reported tentative positive results for evaluating a tapered RF resonant cavity.[22] Testing was performed using a low-thrust torsion pendulum able to detect force at the µN level within a sealed but unevacuated vacuum chamber (the RF power amplifier used an electrolytic capacitor unable to operate in a hard vacuum).[22] The experimenters recorded directional thrust immediately upon application of power.

Their first tests of this tapered cavity were conducted at very low power (2% of Shawyer's 2002 experiment). A net mean thrust over five runs was measured at 91.2 µN at 17 W of input power.[22] The experiment was criticized for its small data set and for not having been conducted in vacuum, to eliminate thermal air currents.

The group announced a plan to upgrade their equipment to higher power levels, to use vacuum-capable RF amplifiers with power ranges of up to 125 W, and to design a new tapered cavity that could be in the 0.1 N/kW range. The test article was to be subject to independent verification and validation at Glenn Research Center, the Jet Propulsion Laboratory and the Johns Hopkins University Applied Physics Laboratory.[22][100] As of 2016, this validation has not happened.[101]

In 2015, Paul March from Eagleworks made new results public, measured with a torsional pendulum in a hard vacuum: about 50 µN with 50 W of input power at 5.0×10−6 torr.[100] The new RF power amplifiers were said to be made for hard vacuum, but failed rapidly due to internal corona discharges. Without funding to replace or upgrade them, measurements were scarce for a time.[102]

They conducted further experiments in vacuum, a set of 18 observations with 40-80W of input power. They published the results in the American Institute of Aeronautics and Astronautics's peer-reviewed Journal of Propulsion and Power, under the title "Measurement of Impulsive Thrust from a Closed Radio-Frequency Cavity in Vacuum". This was released online in November 2016, with print publication in December.[9][97][98][99] The study said that the system was "consistently performing with a thrust-to-power ratio of 1.2±0.1mN/kW", and enumerated many potential sources of error.[9]

The paper suggested that pilot-wave theory (a controversial, non-mainstream deterministic interpretation of quantum mechanics) could explain how the device produces thrust.[9][98][99] Commenters pointed out that just because a study reporting consistent thrust was published with peer-review does not necessarily mean that the drive functions as claimed.[1][97] Physicist Ethan Siegal commented on the paper, saying that the drive most likely does not violate conservation of momentum as this would "make physics fall apart" but rather that there is something else going on. He said that "Whether it’s new physics [or] the effect’s cause simply hasn’t been determined yet, more and better experiments will be the ultimate arbiter".[103] Physicist Chris Lee was very critical of the work, saying that the paper had a small data set and a number of missing details he described as 'gaping holes'.[104] Electrical Engineer George Hathaway analyzed and criticized the scientific method described in the paper.[105]

#### Cannae drive

White's 2014 tests also evaluated two Cannae drive prototypes.[22] One had radial slots engraved along the bottom rim of the resonant cavity interior, as required by Fetta's theory to produce thrust;[37] another "null" test article lacked those radial slots. Both drives were equipped with an internal dielectric.[22] A third test article, the experimental control, had an RF load but no resonant cavity interior. These tests took place at atmospheric pressure.

About the same net thrust was reported for both the device with radial slots and the device without slots. Thrust was not reported for the experimental control. Some considered the positive result for the non-slotted device a possible flaw in the experiment, as the null test device had been expected to produce less or no thrust based upon Fetta's theory of how thrust was produced by the device.[23][106][107] In the complete paper, however, Eagleworks concluded that the test results proved that "thrust production was not dependent upon slotting".[22]

### Dresden University of Technology

In July 2015 an aerospace research group at the Dresden University of Technology (TUD) under Martin Tajmar reported results for an evaluation of an RF resonant tapered cavity similar to the EmDrive.[108] Testing was performed first on a knife-edge beam balance able to detect force at the µN level, atop an antivibration granite table at ambient air pressure; then on a torsion pendulum with a force resolution of 0.1 mN, inside a vacuum chamber at ambient air pressure and in a hard vacuum at 4×10−6 mbar (3×10−6 torr).

They used a conventional ISM band 2.45 GHz 700 W oven magnetron, and a small cavity with a low Q factor (20 in vacuum tests). They observed small positive thrusts in the positive direction and negative thrusts in the negative direction, of about 20 µN in a hard vacuum. However when they rotated the cavity upwards as a "null" configuration, they observed an anomalous thrust of hundreds of µN, significantly larger than the expected result of zero thrust. This indicated a strong source of noise which they could not identify. This led them to conclude that they could not confirm or refute claims about such a thruster. At the time they considered future experiments with better magnetic shielding, other vacuum tests and improved cavities with higher Q factors.

Eric W. Davis, a physicist at the Institute for Advanced Studies at Austin, noted "The experiment is quite detailed but no theoretical account for momentum violation is given by Tajmar, which will cause peer reviews and technical journal editors to reject his paper should it be submitted to any of the peer-review physics and aerospace journals."[21]

### Tests in space

In November 2016 the International Business Times claimed the U.S. government was testing a version of the EmDrive on the Boeing X-37B and that the Chinese government has made plans to incorporate the EmDrive on its orbital space laboratory Tiangong-2.[109][110] In 2009 an EmDrive technology transfer contract with Boeing was undertaken via a State Department TAA and a UK export licence, approved by the UK MOD. The appropriate US government agencies including DARPA, USAF and NSSO were aware of the contract.[111][112] However, prior to flight, the propulsion experiment aboard the X-37B was officially announced as a test of a Hall-effect thruster built by Aerojet Rocketdyne.[113]

The Chinese tests reported by the International Business Times report were later corroborated; at a press conference in Beijing on 10 December 2016 at the China Academy of Space Technology (CAST), Yue Chen, head of the communication satellite division at CAST, confirmed the agency is already testing an EmDrive in low-Earth orbit onboard an "experimental verification platform" believed to be the Tiangong-2 space station, and that it has been funding research in the area for the last five years. It stated that the current prototype generates only a few millinewtons of thrust, and that it will have to be scaled up to at least 100-1000 millinewtons; despite this they currently plan to add the technology to Chinese satellites as soon as possible.[114][115][116][117][46]

## References

1. ^ a b c d Drake, Nadia; Greshko, Michael (21 November 2016). "NASA Team Claims 'Impossible' Space Engine Works—Get the Facts". Nationalgeographic.com: National Geographic. Retrieved 23 November 2016.
2. ^ a b Johnson, R. C. (January 2003). "The slingshot effect" (PDF). Durham University.
3. ^ a b Hambling, David (29 October 2009). "'Impossible' Device Could Propel Flying Cars, Stealth Missiles". WIred. Wired.
4. ^ a b c d Hambling, David (5 November 2012). "Propellentless Space Propulsion Research Continues". Aviation Week & Space Technology.
5. Hambling, David (6 February 2013). "EmDrive: China's radical new space drive". Wired UK. Wired UK.
6. ^ a b Hambling, David (24 September 2008). "Chinese Say They're Building 'Impossible' Space Drive". Wired. Wired.
7. Yang, Juan; Liu, Xian-chuang; Wang, Yu-quan; Tang, Ming-jie; Luo, Li-tao; Jin, Yi-zhou; Ning, Zhong-xi (February 2016). "Thrust Measurement of an Independent Microwave Thruster Propulsion Device with Three-Wire Torsion Pendulum Thrust Measurement System". Journal of Propulsion Technology (in Chinese). 37 (2): 362–371.
8. ^ "EM Drive Developments, NASA spaceflight forums, discussion of Yang's 2016 paper". forum.nasaspaceflight.com. Retrieved 14 September 2016.
9. White, Harold; March, Paul; Lawrence, James; Vera, Jerry; Sylvester, Andre; Brady, Davi; Bailey, Paul (17 November 2016). "Measurement of Impulsive Thrust from a Closed Radio-Frequency Cavity in Vacuum" (PDF). Journal of Propulsion and Power. doi:10.2514/1.B36120.
10. ^ Russon, Mary-Ann (13 December 2016). "EmDrive: Chinese space agency to put controversial tech onto satellites 'as soon as possible'". ibtimes.co.uk. International Business Times. Retrieved 15 December 2016.
11. ^ Russon, Mary-Ann (14 December 2016). "EmDrive: These are the problems China must fix to make microwave thrusters work on satellites". ibtimes.co.uk. International Business Times. Retrieved 15 December 2016.
12. ^ 操秀英 (11 December 2016). "电磁驱动：天方夜谭还是重大突破 我国正开展关键技术攻关，争取5年内实现工程应用" [EmDrive: Fantasy or major breakthrough]. Science and Technology Daily (in Chinese). Ministry of Science and Technology of the People's Republic of China. Retrieved 15 December 2016.
13. ^ Kumar, Kalyan (26 December 2016). "facebook twitter reddit Comment China Confirms EmDrive Research, Plans To Use The Technology On Chinese Satellites As Soon As Possible". Retrieved 28 December 2016.
14. ^ a b Webb, Jeremy (3 October 2006). "Emdrive on trial". New Scientist Publisher's blog.
15. ^ a b Powell, Corey S. (6 August 2014). "Did NASA Validate an "Impossible" Space Drive? In a Word, No.". Discover magazine. Retrieved 16 February 2016.
16. ^ David Hambling (31 July 2014). "Nasa validates 'impossible' space drive". Wired. Retrieved 6 September 2016.
17. ^ Millis, Marc; Hathaway, George; Tajmar, Martin; Davis, Eric; Maclay, Jordan (30 December 2016). Gilster, Paul, ed. "Uncertain Propulsion Breakthroughs?". Centauri Dreams.
18. ^ Balaam, Philip; Micci, Michael M. (1995). "Investigation of stabilized resonant cavity microwave plasmas for propulsion". Journal of Propulsion and Power. 11 (5): 1021–1027. doi:10.2514/3.23932. ISSN 0748-4658.
19. ^ Tucker, Bill (6 December 2015). "The Power Of The Force; The Curious Case Of The EmDrive". Retrieved 20 February 2016.
20. ^ a b c Egan, Greg (19 September 2006). Baez, John C., ed. "A Plea to Save New Scientist". The n-Category Café (a group blog on math, physics and philosophy).
21. ^ a b c Dvorsky, George (28 July 2015). "No, German Scientists Have Not Confirmed the "Impossible" EMDrive". io9. Gawker Media.
22. Brady, David A.; White, Harold G.; March, Paul; Lawrence, James T.; Davies, Franck J. (30 July 2014). Anomalous Thrust Production from an RF Test Device Measured on a Low-Thrust Torsion Pendulum (PDF). 50th AIAA/ASME/SAE/ASEE Joint Propulsion Conference. American Institute of Aeronautics and Astronautics. doi:10.2514/6.2014-4029. Retrieved 31 July 2014. Lay summary (PDF)NASA (30 July 2014).
23. ^ a b c Powell, Corey S. (6 August 2014). "Did NASA Validate an "Impossible" Space Drive? In a Word, No.". Discover. Retrieved 6 August 2014.
24. ^ Baez, John. "The incredible shrinking force". Google Plus. Retrieved 6 August 2014.
25. ^
26. ^ a b Tom Shelley (14 May 2007). "No-propellant drive prepares for space and beyond". Eureka Magazine. Retrieved 4 May 2015.
27. ^ a b Shawyer, Roger (September 2006). "A Theory of Microwave Propulsion for Spacecraft (Theory paper v.9.3)" (PDF). New Scientist.
28. ^ Costella, John P. (2006). "Why Shawyer's 'electromagnetic relativity drive' is a fraud" (PDF). John Costella’s home page.
29. ^ a b Alvin Wilby. "Emdrive? No thanks". New Scientist.
30. ^ Paul Friedlander. "Emdrive on trial". New Scientist.
31. ^ United Kingdom Department of Trade and Industry End User Undertaking
32. ^ a b Mary-Ann Russon (14 October 2016). "EmDrive exclusive: Roger Shawyer confirms MoD and DoD interested in controversial space propulsion tech". International Business Times.
33. ^ a b Shawyer, Roger (1 November 2015). "Second generation EmDrive propulsion applied to SSTO launcher and interstellar probe" (PDF). Acta Astronautica. 116: 166–174. doi:10.1016/j.actaastro.2015.07.002.
34. ^ Mary-Ann Russon (12 October 2016). "EmDrive: Roger Shawyer is patenting a new design for next-gen superconducting thruster". International Business Times.
35. ^ WO application 2016162676, SHAWYER, Roger John & CARDOZO, Gilo, "Superconducting Microwave Radiation Thruster", published 2016-10-16, assigned to Satellite Propulsion Research Ltd.
36. ^ a b WO application 2007089284, Fetta, Guido Paul, "Resonating cavity propulsion system", published 2007-11-15, assigned to Fetta, Guido Paul
37. ^ a b "Cannae Drive". Cannae LLC website. Retrieved 31 July 2014.
38. ^ US application 2014013724, Fetta, Guido P., "Electromagnetic thruster", published 2014-01-16, assigned to Cannae LLC
39. ^ Fetta, Guido P. (30 August 2014). Numerical and Experimental Results for a Novel Propulsion Technology Requiring no On-Board Propellant. 50th AIAA/ASME/SAE/ASEE Joint Propulsion Conference. American Institute of Aeronautics and Astronautics. doi:10.2514/6.2014-3853. Retrieved 31 July 2014.
40. ^ WO application 2016004044, Fetta, Guido P., "Electromagnetic thrusting system", published 2016-01-07, assigned to Cannae LLC
41. ^ "The Impossible Propulsion Drive Is Heading to Space". 2 September 2016. Retrieved 14 September 2016.
42. ^ a b c Yang, Juan; Wang, Yu-Quan; Ma, Yan-Jie; Li, Peng-Fei; Yang, Le; Wang, Yang; He, Guo-Qiang (May 2013). "Prediction and experimental measurement of the electromagnetic thrust generated by a microwave thruster system" (PDF). Chinese Physics B. IOP Publishing. 22 (5): 050301. Bibcode:2013ChPhB..22e0301Y. doi:10.1088/1674-1056/22/5/050301.
43. ^ a b c Shi, Feng; Yang, Juan; Tang, Ming-Jie; Luo, Li-Tao; Wang, Yu-Quan (September 2014). "Resonance experiment on a microwave resonator system" (PDF). Chinese Physics B (in Chinese). Chinese Physical Society. 63 (15): 154103. doi:10.7498/aps.63.154103.
44. ^ CN application 105781921A, Chen, Yue; Peng Weifeng & Bai Guangming et al., "Electromagnetic thruster cavity based on periodic structure", published 2016-07-20, assigned to China Academy of Space Technology
45. ^ CN application 105947224A, Chen, Yue; Peng Weifeng & Bai Guangming, "An electromagnetic propulsion system and method", published 2016-09-21, assigned to China Academy of Space Technology
46. ^ a b Lin, Jeffrey; Singer, P. W. (December 20, 2016). "EmDrive: China Claims Success With This "Reactionless" Engine for Space Travel". popsci.com. Popular Science. Retrieved 21 December 2016.
47. ^ Grahn, Patrick; Annila, Arto; Kolehmainen, Erkki (2016). "On the exhaust of electromagnetic drive" (PDF). AIP Advances. 6 (6): 065205. doi:10.1063/1.4953807. ISSN 2158-3226.
48. ^ Davis, A.M.J.; Scharstein, R.W. (1994). "Electromagnetic plane wave excitation of an open-ended conducting frustum" (PDF). IEEE Transactions on Antennas and Propagation. 42 (5): 699–706. doi:10.1109/8.299569. Therefore real nonzero time-average power flow does occur in a conical waveguide that is smaller in cross section then any cut-on circular wave guide at the same frequency of operation. This observation can be qualitatively explained by considering the oppositely directed evanescent waves that are excited at the cascaded junctions of successively larger but still individually cut off circular waveguides that form a stepped approximation to the cone. Effectively, then, the conical scatterer tends to focus a portion of energy of the incident portion of the radio wave, at least in comparison to the uniform tubular scatterer... In most respects, the scattering by the frustum is a distortion of that by the circular tube. One important difference is the internal focusing effect that is predominantly experienced when the exciting plane wave is incident from the wide end of the frustum. Due to the absence of sharp cut off frequencies from the nonuniform conical waveguide, the interior of the frustum can support nontrivial field amplitudes, even in regions of relatively small electrical cross section.
49. ^ Zeng, Xiahui; Fan, Dianyuan (2008). "Electromagnetic fields and transmission properties in tapered hollow metallic waveguides" (PDF). Optics Express. 17 (1): 34. doi:10.1364/OE.17.000034. ISSN 1094-4087. It is shown that all modes run continuously from a propagating through a transition to an evanescent region and the value of the attenuation increases as the distance from the cone vertex and the cone angle decreases. A strict distinction between pure propagating and pure evanescent modes can not be achieved. There is no well-defined cutoff wavelength but rather a cutoff radius. It is interesting to note that the magnitude of the cutoff radius is related to the wavelength and the cone half-angle.
50. ^ Mayer, B.; Reccius, A.; Knochel, R. (1992). "Conical cavity for surface resistance measurements of high temperature superconductors". IEEE Transactions on Microwave Theory and Techniques. 40 (2): 228–236. doi:10.1109/22.120094. ISSN 0018-9480. A conical cavity is described. The new cavity is superior to the often used cylindrical cavity, because it intrinsically does not suffer from mode degeneration
51. ^ White, Harold; March, Paul; Lawrence, James; Vera, Jerry; Sylvester, Andre; Brady, David; Bailey, Paul (2016). "Measurement of Impulsive Thrust from a Closed Radio-Frequency Cavity in Vacuum". Journal of Propulsion and Power. doi:10.2514/1.B36120. A 13.5-mm-diam loop antenna drives the system in the TM212 mode at 1937 MHz. Because there are no analytical solutions for the resonant modes of a truncated cone, the use of the term TM212 describes a mode with two nodes in the axial direction and four nodes in the azimuthal direction
52. ^ Rikken, G. L. J. A.; Kessener, Y. A. R. R. (1995). "Local Field Effects and Electric and Magnetic Dipole Transitions in Dielectrics". Physical Review Letters. 74 (6): 880–883. doi:10.1103/PhysRevLett.74.880. ISSN 0031-9007.
53. ^ Glauber, Roy J.; Lewenstein, M. (1991). "Quantum optics of dielectric media" (PDF). Physical Review A. 43 (1): 467–491. doi:10.1103/PhysRevA.43.467. ISSN 1050-2947.
54. ^ Scheel, S.; Knöll, L.; Welsch, D.-G. (1999). "Spontaneous decay of an excited atom in an absorbing dielectric" (PDF). Physical Review A. 60 (5): 4094–4104. arXiv:. doi:10.1103/PhysRevA.60.4094. ISSN 1050-2947.
55. ^ Brorson, Stuart D.; Skovgaard, Peter M. W. (1996). "Optical Mode Density and Spontaneous Emission in Microcavities". 3: 77–99. doi:10.1142/9789812830760_0002. ISSN 1793-1002.
56. ^ Agarwal, G. S. (1975). "Quantum electrodynamics in the presence of dielectrics and conductors. IV. General theory for spontaneous emission in finite geometries". Physical Review A. 12 (4): 1475–1497. doi:10.1103/PhysRevA.12.1475. ISSN 0556-2791.
57. ^ Horsley, S A R; Philbin, T G (2014). "Canonical quantization of electromagnetism in spatially dispersive media" (PDF). New Journal of Physics. 16 (1): 013030. arXiv:. doi:10.1088/1367-2630/16/1/013030. ISSN 1367-2630.
58. ^ Dowling, Jonathan P.; Scully, Marlan O.; DeMartini, Francesco (1991). "Radiation pattern of a classical dipole in a cavity" (PDF). Optics Communications. 82 (5-6): 415–419. doi:10.1016/0030-4018(91)90351-D. ISSN 0030-4018.
59. ^ Seeley, Fred B. (1993). "Dipole radiators in a cavity: A radio frequency analog for the modification of atomic spontaneous emission rates between mirrors". American Journal of Physics. 61 (6): 545. doi:10.1119/1.17206. ISSN 0002-9505.
60. ^ Milonni, P.W.; Knight, P.L. (1973). "Spontaneous emission between mirrors" (PDF). Optics Communications. 9 (2): 119–122. doi:10.1016/0030-4018(73)90239-3. ISSN 0030-4018.
61. ^ Agarwal, G. S. (2000). "Anisotropic Vacuum-Induced Interference in Decay Channels" (PDF). Physical Review Letters. 84 (24): 5500–5503. doi:10.1103/PhysRevLett.84.5500. ISSN 0031-9007.
62. ^ Myron W. Evans (26 June 2003). Advances in Chemical Physics, Volume 119, Part 1: Modern Nonlinear Optics. John Wiley & Sons. p. 143. ISBN 978-0-471-46613-0. Agarwal (2000) has proposed a totally different mechanism to produce atomic transitions with parallel dipole moments
63. ^ Zbigniew Ficek; Stuart Swain (14 September 2005). Quantum Interference and Coherence: Theory and Experiments. Springer. p. 271. ISBN 978-0-387-25835-5. Agarwal (2000) has proposed a totally different mechanism to produce correlations between two perpendicular dipole moments...Examples of systems that may exhibit an anisotropic vacuum are doped active centers on anisotropic glasses, atoms in a waveguide, atoms absorbed on metallic or dielectric surfaces, and an atom between two conducting plates.
64. ^ a b "The Impossible' EmDrive Thruster Has Cleared Its First Credibility Hurdle - D-brief". D-brief (Discover Magazine). 21 November 2016. Retrieved 23 November 2016.
65. ^ Cullen, A. L. (April 1952). "Absolute power measurement at microwave frequencies". Proceedings of the IEE Part IV: Institution Monographs. 99 (2): 100–111. doi:10.1049/pi-4.1952.0012.
66. ^ Daniel Oberhaus (14 November 2016). "The Fact and Fiction of the NASA EmDrive Paper Leak". Motherboard. Another leading explanation is that the EmDrive’s thrust is generated by radiation pressure, a position held by its inventor Roger Shawyer. […] Yet, according to Woodward, both of these theories are unlikely to be correct for a simple reason: Physics doesn’t allow them. By way of example, Woodward likened explaining the results seen at NASA purely in terms of microwave pressure to arguing that you can accelerate a car by getting in the driver’s seat and pushing on the windshield. Can any disposition of microwaves inside the cavity produce thrust? said Woodward. There's a simple answer to that question: No, it cannot. Conservation of momentum dictates that any purely electromagnetic system that is enclosed cannot produce thrust. This is for both quantum theory and classical electrodynamics. It's physically impossible.
67. ^ Joosten, B. Kent; White, Harold G. (2015). "Human outer solar system exploration via Q-Thruster technology" (PDF). Aerospace Conference, 2015 IEEE. doi:10.1109/AERO.2015.7118893.
68. ^ White, H.; March, P. (2012). "Advanced Propulsion Physics: Harnessing the Quantum Vacuum" (PDF). Nuclear and Emerging Technologies for Space.
69. ^ M.E. McCulloch (2015), "Testing quantised inertia on the emdrive", EPL, 111 (6), arXiv:, Bibcode:2015EL....11160005M, doi:10.1209/0295-5075/111/60005
70. ^ Knight, Will (20 April 2016). "The Curious Link Between the Fly-By Anomaly and the "Impossible" EmDrive Thruster". MIT Technology Review. Retrieved 21 April 2016.
71. ^
72. ^
73. ^ a b
74. ^ Russon, Mary-Ann (26 April 2016). "EmDrive: British scientist's 'new physics' theory accidentally proves controversial space propulsion works". International Business Times UK.
75. ^ Koberlein, Brian (21 April 2016). "The Theoretical Model For This Impossible Space Drive Doesn't Prove Anything". Retrieved 24 April 2016.
76. ^ a b c Grahn, Patrick; Annila, Arto; Kolehmainen, Erkki (June 2016). "On the exhaust of electromagnetic drive" (PDF). AIP Advances. 6 (6). doi:10.1063/1.4953807.
77. ^ Mary-Ann Russon (15 June 2016). "EmDrive: Finnish physicist says controversial space propulsion device does have an exhaust". International Business Times.
78. ^ Abigail Beall (16 June 2016). "Does Nasa's 'fuel-free' thruster have an invisible exhaust? Theory may explain EmDrive that could take humans to Mars in 10 weeks". Daily Mail.
79. ^ Fiona MacDonald (16 June 2016). "New paper claims that the EM Drive doesn't defy Newton's 3rd law after all". ScienceAlert.
80. ^ Brian Wang (27 June 2016). "Researchers propose EM drive propulsion from emission of paired photons". NextBigFuture.
81. ^ Brian Wang (18 November 2016). "Final version of NASA EMdrive paper confirms 1.2 millinewtons per kw of thrust which is 300 times better than other zero propellent propulsion". NextBigFuture.
82. ^ Lewis, G.N. (18 December 1926). "The conservation of photons". Nature. 118 (2981): 874–875. doi:10.1038/118874a0.
83. ^ Charles Torre (14 December 1998). "Do electric charges and magnets distort space, in the way that a source of gravity does?". Scientific American.
84. ^ Frasca, Marco (26 May 2015). "Einstein-Maxwell equations for asymmetric resonant cavities". arXiv: [gr-qc].
85. ^ Konstantin Kakaes (April 2013). "Warp Factor". Popular Science.
86. ^ Rodal, José; Mullikin, Jeremiah; Noel, Munson (29 April 2015). "Evaluating NASA's Futuristic EM Drive". NASASpaceFlight.
87. ^ a b Lobo, F.S.N.; Visser, M. (25 November 2004). "Fundamental limitations on 'warp drive' spacetimes". Classical and Quantum Gravity. 21 (24): 5871. arXiv:. doi:10.1088/0264-9381/21/24/011. Certain classical systems (such as non-minimally coupled scalar fields) have been found that violate the null and the weak energy conditions. […] We will take the bubble velocity to be non-relativistic, v ≪ 1. Thus we are not focussing attention on the "superluminal" aspects of the warp bubble, […] but rather on a secondary unremarked effect: The warp drive (if it can be realised in nature) appears to be an example of a "reaction-less drive" wherein the warp bubble moves by interacting with the geometry of spacetime instead of expending reaction mass.
88. ^ Minotti, F. O. (July 2013). "Scalar-tensor theories and asymmetric resonant cavities". Gravitation and Cosmology. 19 (3): 201–208. arXiv:. doi:10.1134/S0202289313030080. It appears that General Relativity might allow for such kind of reactionless propulsion, as exemplified and noted for the first time [by Lobo & Visser], where the low velocity limit of some warp drive spacetimes was analyzed. As indicated there, negative energy densities are required to accomplish that and, notably, some scalar fields present this possibility. […] The lowest mode (ν= 1.05 GHz) leads to a force much larger in magnitude and of opposite direction to that of the next two modes. This and other dependencies of the predicted force, as the proportionality to the cavity wall thickness […] can be explored experimentally with relative ease to test the theory.
89. ^ Wang, Brian (5 January 2017). "Scalar Tensor Theory of gravitation to explain EMDrive". Next Big Future.
90. ^ Minotti, F. O. (21 December 2016). "Revaluation of Mbelek and Lachièze-Rey scalar tensor theory of gravitation to explain the measured forces in asymmetric resonant cavities". arXiv:.
91. ^ Fisher, Richard (5 November 2004). "Defying gravity: UK team claims engine based on microwaves could revolutionise spacecraft propulsion". The Engineer. London. 293 (7663): 8.
92. ^ Page is no longer available, but an archived version as of 2 November 2012 is available at archive.org: www.cannae.com/proof-of-concept/experimental-results (retrieved 11 February 2015)
93. ^ Shawyer, Roger (1 November 2015). "Second generation EmDrive propulsion applied to SSTO launcher and interstellar probe". Acta Astronautica. 116: 166–174. doi:10.1016/j.actaastro.2015.07.002.
94. ^ ZHU, Yu; YANG, Juan; MA, Nan (September 2008). "The Performance Analysis of Microwave Thrust Without Propellant Based On The Quantum Theory". Journal of Astronautics (in Chinese). 29 (5): 1612–1615.
95. ^ White, Harold; March, Paul; Nehemiah, Williams; O'Neill, William (5 December 2011). Eagleworks Laboratories: Advanced Propulsion Physics Research. NASA Technical Reports Server (NTRS) (Technical report). NASA. JSC-CN-25207.
96. ^ Prisco, Giulio (18 November 2016). "Final Nasa Eagleworks paper confirms promising EmDrive results, proposes theoretical model". Hacked.
97. ^ a b c Koberlein, Brian. "NASA's Physics-Defying EM Drive Passes Peer Review". Forbes.com. Forbes. Retrieved 22 November 2016.
98. ^ a b c Burgess, Matt (21 November 2016). "Nasa's 'impossible' EmDrive could work, study says". Wired.com: Wired. Retrieved 22 November 2016.
99. ^ a b c Johnson, Lief (19 November 2016). "NASA's Peer-Reviewed Paper on the EmDrive Is Now Online". Motherboard.com. Retrieved 22 November 2016.
100. ^ a b Wang, Brian (6 February 2015). "Update on EMDrive work at NASA Eagleworks". NextBigFuture.
101. ^ Topic: EM Drive Developments – related to space flight applications – Thread 8, Nasa Spaceflight Forum, posts by Paul March, 26 November 2016.
102. ^ Wang, Brian (7 February 2015). "NASA Emdrive experiments have force measurements while the device is in a hard vacuum". NextBigFuture.
103. ^ Siegal, Ethan (23 November 2016). "How Physics Falls Apart If The EMdrive Works". Forbes.com. Forbes. Retrieved 23 November 2016.
104. ^ Lee, Chris (23 November 2016). "NASA's EM-drive still a WTF-thruster". arstechnica.co.uk. Retrieved 23 November 2016.
105. ^ Hathaway, George (3 January 2017). Gilster, Paul, ed. "Close Look at Recent EmDrive Paper". Centauri Dreams.
106. ^ Timmer, John (1 August 2014). "Don't buy stock in impossible space drives just yet". Ars Technica. Ars Technica. Retrieved 2 August 2014.
107. ^ Nelsen, Eleanor (31 July 2014). "Improbable Thruster Seems to Work by Violating Known Laws of Physics". Nova. PBS. Retrieved 1 August 2014.
108. ^ Tajmar, Martin; Fiedler, Georg (July 2015). Direct Thrust Measurements of an EM Drive and Evaluation of Possible Side-Effects (PDF). 51st AIAA/SAE/ASEE Joint Propulsion Conference. American Institute of Aeronautics and Astronautics. doi:10.2514/6.2015-4083. Retrieved 26 July 2015.
109. ^ Russon, Mary-Ann (7 November 2016). "Space race revealed: US and China test futuristic EmDrive on Tiangong-2 and mysterious X-37B plane". International Business Times. Retrieved 15 December 2016.
110. ^ Weinhoffer, Michael (14 November 2016). "USAF X-37B: America's Secret Unmanned Space Shuttle". The Avion Newspaper. Retrieved 15 December 2016.
111. ^ Shawyer, Roger (November–December 2015). "Second generation EmDrive propulsion applied to SSTO launcher and interstellar probe" (PDF). Acta Astronautica. 116: 166–174. doi:10.1016/j.actaastro.2015.07.002.
112. ^ UK Department of Trade and Industry (2007). "Boeing End User Undertaking". Retrieved 15 December 2016.
113. ^ Ray, Justin (27 April 2015). "X-37B launch date firms up as new details emerge about experiment". Spaceflight Now. Retrieved 27 April 2015.
114. ^ Russon, Mary-Ann (13 December 2016). "EmDrive: Chinese space agency to put controversial tech onto satellites 'as soon as possible'". International Business Times. Retrieved 15 December 2016.
115. ^ Russon, Mary-Ann (14 December 2016). "EmDrive: These are the problems China must fix to make microwave thrusters work on satellites". International Business Times. Retrieved 15 December 2016.
116. ^ 操秀英 (11 December 2016), "电磁驱动：天方夜谭还是重大突破 我国正开展关键技术攻关，争取5年内实现工程应用" [EmDrive: Fantasy or major breakthrough], Science and Technology Daily (in Chinese), retrieved 15 December 2016
117. ^ Yan, Li (21 December 2016). "Mars could be getting closer and closer, if this science isn't m". China News Service (中国新闻社). Retrieved 21 December 2016.