Professor Paradox's History
Professor Paradox is a time-traveling professor who can travel anywhere in space or time, within reason. While he forgot his true name from centuries being trapped in a separate reality, he now goes by the name "Professor Paradox" after taking a liking to being referred to as such.
At some point, Professor Paradox was working for Area 51. It is unknown what his job was exactly, but it had something to do with the alien prisoners there. In the flashback portion of Blukic and Driba Go to Area 51, Paradox was called by Colonel Rozum to help with the investigation about Blukic and Driba's fall on Earth.
Having discovered special properties in quartz crystals during the 1950s, Paradox received government funding to break a hole in the space-time continuum. However, a slight miscalculation and an explosion accidentally caused by his panicked assistant Hugo threw Paradox into the event horizon, where he remained for a hundred thousand years.
Paradox was displaced outside of time, where he lost the ability to age and was unable to sleep or eat; just exist. He went insane for a while, but then got bored and regained his sanity. Gaining complete understanding of the space-time continuum, Paradox renamed himself "Professor Paradox" though he forgot his original name in the process.
Alien Force
Paradox used his understanding to travel across time, making different parts of history better for others. He said he would help Ben save the "whole entire universe".
Paradox soon learns that the accident sent an extra-dimensional creature fifty years from the time of the experiment. He traveled to the Alien Force time to stop it, meeting Ben's younger self. It was at this point that he gained his new moniker, with Gwen bringing it up as the name of his original time travel project. After a few fights with the creature, Ben told Paradox to take them all back to the accident, where it is discovered that Hugo was the creature. He was frightened and confused, but turning everything to dust. By preventing Hugo from being sucked into the event horizon, it negated his time-accelerating existence. After returning to Ben's present, Paradox was stoked that he didn't see it in the first place. When an older Hugo turned up, Paradox greeted him and took him to a "behind-the-scenes look" at eternity.
Paradox left the trio one last gift, Kevin's regressed car, factory new from 1976. However, a note warns him that if the car comes in contact with anything from that era, it would explode like antimatter. However, this was merely a joke.
Paradox returns in the two part season two finale, War of the Worlds. He meets up with Azmuth, who greets him as "Time Walker", just as the Highbreed begin to invade Galvan Prime. Paradox convinces Azmuth to escape the planet's destruction, before meeting up with Ben. He informs Ben of the impending crisis, who resorts to gathering all the allies he made. Paradox aids Gwen and Kevin in recruiting Alan, Cooper and Darkstar to help in the fight, by teleporting them to the right location. He then joins Ben's Team and partakes in the following battle against the Highbreed. Here he displays the ability to slow down time using his watch, allowing him to move at high speeds and take out a large number of DNAliens. Later he accepts a gun made by Cooper and uses it to turn DNAliens back into humans.
Paradox appears in Time Heals where he tries to stop Gwen from travelling back in time to stop Kevin from mutating, but is unable to persuade her. After Gwen succeeds in her endeavor, she returns to the present to discover a post-apocalyptic world enslaved by Hex and Charmcaster. Paradox appears again and informs her that she is the cause of all this, as well as telling her that "time travelling is for immortals and fools". He brings Gwen up to date with the events of this alternate future, which end up with Ben getting captured, Kevin becoming enslaved by Charmcaster, and Gwen being killed. A shocked and guilt-ridden Gwen attempts to repair the damage she has done, to which Paradox cautions her to be careful, only to discover she has already left. He smiles knowingly and states that "youth never listen". After Gwen manages to retrieve the book with the time travelling spell, and manages to fix her mistake, Paradox appears once more in the restored present. Gwen asks him whether there is any more trouble, to which he states "everything's fine", before vanishing.
In Ultimate Aggregor, Paradox appears to tell the team about Aggregor's plan on using the Chronologger to help him absorb the powers of the five Andromeda aliens. He also gives Kevin some advice about his future before vanishing. It is later revealed he divided the Map of Infinity into four pieces in the past.
In Perplexahedron, it is revealed Paradox created the planet Perplexahedron to hide the final piece of the map from those who would misuse its power.
In The Forge of Creation, Paradox took Ben and his team towards the Forge of Creation. After Aggregor was defeated and Ultimate Kevin left, Paradox returned 10 year old Ben to his own time.
Paradox appeared in Ben 10,000 Returns to visit Ben 10,000 and helps Ben 10,000 and Ben's Team foil Eon's evil plan. At the end of the episode, he asked Ben 10,000 to restore Swampfire and Way Big. He also gives a warning to Ben's team about Old George and the creature from beyond before leaving with Ben 10,000.
Sometime in his life, Paradox was busy fighting in a Time War, apparently losing his right hand and replacing it with a robotic prosthetic. He had disguised his Chrono Navigator (his pocket watch, noted as a "GPS to the multiverse") for safekeeping. He also managed to trap Eon in the Main Timeline to prevent him from crossing into others to cause chaos.
In So Long, and Thanks for All the Smoothies, Paradox became aware that the universe was destroyed by the Anihilaarg and replaced with a near-identical one created by Alien X.
Paradox returns in Ben Again, where he's lost his professor look and has now, as Ben puts it, undergone a Steampunk general makeover. Following Eon switching the minds of 11-year-old Ben and 16-year-old Ben, Paradox goes fives years into the past to talk with 16-year-old Ben following Max's warning him not to give spoilers about the future. He informs Ben of his involvement in the Time War are the reason for his missing hand and that he has gone to great lengths to prevent Eon from causing havoc.
However, Eon finds him and cuts off his right hand, which is actually his disguised pocket watch, and takes him to an alternate dimension to be interrogated. As he is not a liar, Eon knows he doesn't have the Chrono Navigator with him and goes to take it from 11-year-old Ben. When Eon begins to use the Chrono Navigator to bring his minions into the main timeline, time begins falling apart. He is freed from his shackles thanks to both 11-year-old and 16-year-old Gwen. Instructing both Bens to use Clockwork to place Eon between both periods of time, the timeline is restored to normal and all memory of the event is erased.
Ben 10,000 later comes looking for Paradox in 16-year-old Ben's era, saying that the Chronosapiens have gone rogue and Maltruant's beasts are on an inter-dimensional rampage, said this time war is getting out of hand.
In And Then There Were None, Paradox learns that Eon and Vilgax are abducting and brainwashing alternate Bens into serving them. He and Ben Prime travel to No Watch Ben's timeline, and are surprised that there is no Omnitrix in that Universe. They are confronted by Vilgax and Eon's evil Bens, who are countered by several alternate Bens. As the battle rages, Paradox vanishes, returning only after Vilgax sets off a Chronosapien Time Bomb, wiping out every timeline but No Watch Ben's. Paradox pulls No Watch Ben out of Vilgax's grasp, and tells him they have to restart Ben Prime's timeline.
In And Then There Was Ben, Paradox brings No Watch Ben to Vilgax's ship on the day Ben Prime found the Omnitrix, and directs him to ensure events happen the way they originally did. With that done, they begin recruiting the alternate Bens for the previous battle against Vilgax and Eon. Paradox leaves No Watch Ben behind, then returns to send him to the moment after he pulled him away from Vilgax. When the villains are defeated, Paradox returns all the alternate Bens to their own timelines.
In Let's Do the Time War Again, he and Ben 10,000 come to the present to find that time has stopped (due to a clash of energies between Feedback and a Time Beast). They travel further back in an attempt to prevent this from happening. They rebuild the wreckage of Rook's Proto-TRUK and Ben's Tenn-Speed into Time Cycles, using them to save Ben and Rook when the battle with the Time Beast goes awry once more (creating a black hole). They travel back to the same time as before, where Ben and Rook aid their past selves, and use their Time Cycles to revert the Time Beast back into an egg. Paradox takes the past Ben and Rook back in time to "close the loop."
In Secret of Dos Santos, Paradox appears to Ben, Rook and Kai Green in The Temple of The Sky, revealing that the artifact they'd been seeking was one of Maltruant's parts, which Paradox had scattered through time after Maltruant's defeat. The part they found was the main spring, which Paradox had hid in the temple years ago, under the protection of Ujin. When Exo-Skull attacks, Paradox tells Kai he can't do anything. After Exo-Skull is defeated, Paradox takes Ujin back home.
In A New Dawn, Paradox gives Ben and Rook a Time Beast egg, which powers up their Time Cycles enough to follow Maltruant to a place even Paradox cannot reach: before the beginning of the universe. Following Maltruant's defeat, Paradox reveals that the villain is unknowingly trapped in a time loop, doomed to be defeated again and again, with Paradox hiding his parts each time. Paradox asks Ben and Rook to help hide Maltruant's parts before he returns them home.