Warp drive

Original warp scale – The Original Series, The Animated Series, Enterprise, and Discovery

Warp drive is one of the fundamental features of the Star Trek franchise; in the first pilot episode of Star Trek: The Original Series, "The Cage", it is referred to as a "hyperdrive", with Captain Pike stating the speed to reach planet Talos IV as "time warp, factor 7". When beginning to explain travel times to the illusion survivors (before being interrupted by the sight of Vena), crewmember Jose stated that "the time barrier's been broken", allowing a group of interstellar travelers to return to Earth far sooner than would have otherwise been possible. Later in the pilot, when Spock is faced with the only action of escaping, he announces to the crew they have no choice but to leave, starting "Our time warp factor..." before the ship's systems start failing. (In the second pilot for the original series, "Where No Man Has Gone Before", time was dropped from the speed setting with Kirk ordering speeds in simple "Ahead Warp Factor One", etc. that became so familiar from then on.) According to Gene Roddenberry's first concept script Star Trek is.., the original Enterprise had a maximum speed of 0.73 light years per hour, which is about 6395 times the speed of light.

The Warp drive velocity in Star Trek is generally expressed in "warp factor" units, which—according to Star Trek Star Fleet Technical Manual—corresponds to the magnitude of the warp field. Achieving warp factor 1 is equal to breaking the light barrier, while the actual velocity corresponding to higher factors is determined using an ambiguous formula. According to the Star Trek episode writer's guide for The Original Series, warp factors are converted to multiples of the speed of light by multiplication with the cubic function of the warp factor itself. Accordingly, "Warp 1" is equivalent to the speed of light, "Warp 2" is 8 times the speed of light, "Warp 3" is 27 times the speed of light, etc. Several episodes of the original series placed the Enterprise in peril by having it travel at high warp factors. However, the velocity (in present dimensional units) of any given warp factor is rarely the subject of explicit expression, and travel times for specific interstellar distances are not consistent through the various series. In the Star Trek: The Next Generation Technical Manual it was written that the real warp speed depends on external factors such as particle density or electromagnetic fields and only roughly corresponds with the calculated speed of current warp factor. The reference work Star Trek Maps established the theory of subspace (or warp) highways. In certain regions, a spaceship can fly at a multiple of the speed that corresponds to the current warp factor.

In the original series, warp factor 6 was established as the common speed of the USS Enterprise NCC-1701. In some cases, the starship traveled at Warp 7 or above, but with risk of damaging the ship or the engines. Warp 9 in the original series was the "Never Exceed" speed for the hulls and engines of Constitution-class starships, equivalent to the aircraft V_NE V-speed. Warp 6 was the V_NO "Normal Operation" maximum safe cruising speed for that vessel class.^[3] Only five stories in the original Star Trek series involved the Enterprise traveling beyond Warp 9. In any instance, it was a result of the influence of alien beings or foreign technology. The Warp 14.1 incident in That Which Survives was the result of runaway engines which brought the hull within seconds of structural failure before power was disengaged.^[4]

Later on, a prequel series titled Star Trek: Enterprise describes the warp engine technology as a "Gravimetric Field Displacement Manifold" (Commander Tucker's tour, "Cold Front"), and describes the device as being powered by a matter/anti-matter reaction which powers the two separate nacelles (one on each side of the ship) to create a displacement field. Enterprise, set in 2151 and onwards, follows the voyages of the first human ship capable of traveling at warp factor 5.2, which under the old warp table formula (the cube of the warp factor times the speed of light), is about 140 times the speed of light (i.e., 5.2 cubed). In the series pilot episode "Broken Bow", Capt. Archer equates Warp 4.5 to "Neptune and back [from Earth] in six minutes" (which would correspond to a distance of 547 light-minutes or 66 au, consistent with Neptune being a minimum of 29 au distant from Earth).

Modified warp scale – The Next Generation, Deep Space Nine and Voyager

Michael Okuda's new warp scale

For Star Trek: The Next Generation and the subsequent series, Star Trek artist Michael Okuda drawn up a new warp scale and devised a formula based on the original one but with an important difference: In the half-open interval from 9 to 10, the exponent of w increases toward infinity. Thus, in the Okuda scale, warp velocities approach Warp 10 asymptotically. According to the Star Trek: The Next Generation Technical Manual there is no exact formula for this interval because the quoted velocities are based on a hand-drawn curve; what can be said is that at velocities greater than warp 9, the form of the warp function changes because of an increase in the exponent of the warp factor w. Due to the resultant increase in the derivative, even minor changes in the warp factor eventually correspond to a greater than exponential change in velocity. Warp Factor 10 was set as an unattainable maximum (according to the new scale, reaching or exceeding Warp 10 required an infinite amount of energy). This is described in Star Trek Technical Manuals as "Eugene's limit", in homage to creator/producer Gene Roddenberry.

In Star Trek: The Next Generation Technical Manual it was established that the normal operating speed of the Enterprise-D (Galaxy class) was Warp 6 (new scale), the maximum rated cruise was Warp 9.2 and the maximum design speed of warp factor 9.6. In two episodes, the Enterprise-D could travel at warp 9.8 at "extreme risk", while fleeing from an enemy. According to the Star Trek: Deep Space Nine Technical Manual the Galaxy-class starships and some other starfleet vessels like Nebula class or Excelsior class were refitted during the Dominion War with newer technology including modifications which increased their maximum speed to Warp 9.9.

According to the reference book USS Enterprise Owners' Workshop Manual the Enterprise-E can reach a maximum velocity of Warp 9.95, according to the reference book Star Trek: Starship Spotter the Intrepid-class starship Voyager has a maximum sustainable cruising speed of Warp 9.975, while the Prometheus-class can reach a maximum of Warp 9.99, with maximum cruising speed of Warp 9.9.

According to the collection Star Trek Fact Files no ship, including highly developed ships like the Borg cube, may exceed warp factor 9.99 with her normal warp drive. To achieve higher speeds, the use of Transwarp technology is required.

Warp velocities

In the book Star Trek Encyclopedia, some warp velocities are given directly. For comparison, the following table shows these values and also the calculated speeds of the original warp scale, the calculated speeds of a simplified Okuda scale and some canonical reference values for warp speeds from onscreen sources.

Transwarp

Transwarp generally refers to speeds and technologies that are beyond conventional warp drives. The warp drive has a natural physical or economical limit beyond which higher speeds are no longer possible. The reference work Star Trek Fact Files indicates this limit at warp factor 9.99. This is the highest conventional warp speed mentioned for a spaceship (Borg cube). Also in the episode Threshold (Star Trek Voyager) the warp factor 9.99 is suggested as the limit. This is the last warp factor mentioned before the leap takes place in the transwarp state.

In the book Star Trek: The Next Generation Technical Manual the authors describes the idea of Transwarp:

Finally, we had to create a back door for various powerful aliens like Q who got the knack of hurling the ship through the room for millions of light years during a commercial break.

The Transwarp concept itself is not tied to any particular technology or speed limit.

The first mention of a transwarp drive took place in the movie Star Trek III: The Search for Spock. There, the Starfleet developed a new spaceship type, the USS Excelsior (NX-2000), which should have a superior engine. The Excelsior captain plans to break the speed record of the USS Enterprise (Warp 14.1 cubic scale). The principle of this drive is not explained. Later, in Star Trek VI: The Undiscovered Country, the USS Excelsior had a normal warp drive. In Star Trek Fact Files it is stated that the experiment was a failure and the spaceship was converted to a normal warp drive.

The entire episode Threshold from Star Trek Voyager is about a transwarp experiment by the USS Voyager crew. To get home faster, a shuttle is modified with novel dilithium crystals. The crew is trying to break the transwarp threshold. This threshold is between warp factor 9.99 and Warp 10 and transwarp itself represented the infinite speed. The shuttle allegedly found itself at all points in the universe at the same time during the flight. However, the pilot suffers genetic mutations after the flight, so it is not repeated. Due to the shuttle's limited memory, only a small portion of the sensor data was recorded. The entire experiment is described in the reference work Star Trek Fact Files .

Some episodes later, fictionalized a few months later, the crew of USS Voyager encounters a species called Voth. This species has spaceships with transwarp drive. However, this drive does not work on the base of transwarp conduits, as the transwarp drive of the Borg, but is a further development of the conventional warp drive.

The mention of a second Transwarp technology took place in the episode Descent of the series Star Trek: The Next Generation. A group of renegade Borg used transwarp conduits. These are wormhole-like tunnels through the subspace. It was said in the dialogue that the flight through these tunnels was 20 times faster than the flight with maximum warp speed of the Enterprise. The flight itself was described as follows: "falling into a fast-moving river and getting swept away by the current." In the episode Endgame explained that the origin of these corridors was in six transwarp hubs spread across the galaxy. There were two ways to use these conduits outside these hubs. In TNG, the Enterprise was able to open such a channel with a precisely modulated tachyon impulse, traveling 65 light-years. However, when the USS Voyager tried the same thing in Day of Honor, the attempt failed and almost destroyed the ship. The second possibility is the use of the transwarp coil. In episode Dark Frontier the crew of Voyager steals such a coil from the Borg and is able to shorten their journey home by 15 years, before the coil burns out.

Folding space

In addition to the possibility to let a spaceship glide through space in a warp field, there is also space folding in Star Trek. Spatial folding means that two points of space-time are directly connected and an instantaneous change takes place. The space between is simply folded into a higher-dimensional hyperspace or subspace.

In the episode That Which Survives of the original series, the Enterprise encountered the remains of people called Kalandans. These are able to instantaneously teleport spaceships as well as people over long distances.

In the episode Contagion of the series Star Trek: The Next Generation, the Enterprise-D discovered the former homeworld of the Iconians. These people were able to instantaneously teleport people over long distances with the help of Iconian Gateways. To ensure the gateway did not fall into the wrong hands, Captain Picard destroyed it.

A year later, in The High Ground, terrorists on the planet Rutia IV used a space folding teleporter called an Inverter. However, this caused progressive physical harm to people during transport; multiple use almost always ended in death.

The USS Voyager came in touch with this technology several times on their way home. In the episode Prime Factors the crew tried to buy a Spatial Trajector from the Sikarians. This wraps an object in a kind of subspace bubble, and teleports it to another location using spatial folding. The range was 40,000 light-years. However, the technology was not compatible with the warp core and almost destroyed Voyager when it was used.

Three years later, in the episode Vis à Vis, Voyager discovered a stranded spaceship with a Coaxial Warp Drive. This also used spatial folding for locomotion. But the system was very unstable and if there is a fault in the drive it could cause a tear in the space-time continuum. A replica of the drive was only tested in a shuttle and never used for the Voyager.

Last but not least, spatial folding appeared as a geodesic fold in the episode Inside Man. A geodesic fold occurs when a Verteron beam is fired at the atmosphere of a giant star at two different locations. This connects both points in space and creates a short lived passage. However, this was not usable because of deadly radiation that occurred during flight. A Ferengi ship's faked message from the Alpha Quadrant made the crew believe there was a safe passage. However, the Ferengi only wanted to get the Borg technology aboard Voyager and would have let the crew die. At the last moment, travel through the passage was aborted.

Fictional history

The episode "Metamorphosis", from The Original Series, establishes a backstory for the invention of warp drive on Earth, in which Zefram Cochrane discovered the "space warp". Cochrane is repeatedly referred to afterwards, but the exact details of the first warp trials were not shown until the second Star Trek: The Next Generation movie, Star Trek: First Contact. The movie depicts Cochrane as having first operated a warp drive on Earth in 2063. This successful first trial led directly to first contact with the Vulcans.

It was also established that many other civilizations had warp drive before humans; First Contact co-writer Ronald D. Moore suggested Cochrane's drive was in some way superior to forms which existed beforehand, and was gradually adopted by the galaxy at large.^[8]

Slingshot effect

The "slingshot effect" is first depicted in "Tomorrow Is Yesterday" (1967) as a method of time travel. The procedure involves traveling at a high warp velocity in the direction of a star, on a precisely calculated "slingshot" path; if successful, it causes a ship to enter a time warp, leading to the past or future. The same technique is used in the episode "Assignment: Earth" (1968) for historic research. The term "time warp" was first used in "The Naked Time" (1966) when a previously untried cold-start intermix of matter and antimatter threw the Enterprise back three days in time. The term was later used in Star Trek IV in describing the slingshot effect. The technique was mentioned as a viable method of time travel in the TNG episode "Time Squared" (1989).

This "slingshot" effect has been explored in theoretical physics: it is hypothetically possible to slingshot oneself "around" the event horizon of a black hole. As a result of the black hole's extreme gravitation, time would pass at a slower rate near the event horizon, relative to the outside universe; the traveler would experience the passage of only several minutes or hours, while hundreds of years would pass in 'normal' space.

Warp core

A primary component of the warp drive method of propulsion in the Star Trek universe is the "gravimetric field displacement manifold", more commonly referred to as a warp core. It is a fictional reactor that taps the energy released in a matter-antimatter annihilation to provide the energy necessary to power a starship's warp drive, allowing faster-than-light travel. Starship warp cores generally also serve as powerplants for other primary ship systems.

When matter and antimatter come into contact, they annihilate—both matter and antimatter are converted directly and entirely into enormous quantities of energy, in the form of subnuclear particles and electromagnetic radiation (specifically, mesons and gamma rays). In the Star Trek universe, fictional "dilithium crystals" are used to regulate this reaction. These crystals are described as being non-reactive to anti-matter when bombarded with high levels of radiation.

Usually, the reactants are deuterium, which is an isotope of hydrogen, and antideuterium (its antimatter counterpart). In The Original Series and in-universe chronologically subsequent series, the warp core reaction chamber is often referred to as the "dilithium intermix chamber" or the "matter/antimatter reaction chamber", depending upon the ship's intermix type. The reaction chamber is surrounded by powerful magnetic fields to contain the anti-matter. If the containment fields ever fail, the subsequent interaction of the antimatter fuel with the container walls would result in a catastrophic release of energy, with the resultant explosion capable of utterly destroying the ship. Such "warp core breaches" are used as plot devices in many Star Trek episodes. An intentional warp core breach can also be deliberately created, as one of the methods by which a starship can be made to self-destruct.

The mechanisms that provide a starship's propulsive force are the "warp nacelles", one (or more) cylindrical pods that are offset from the hull of the ship by large pylons; the nacelles generate the actual 'warp bubble' that surrounds the ship, and destruction of one or both nacelles will cripple the ship, and possibly cause a warp-core breach.

Warp requirements for 10m OD sphere.