On Gallifrey, the Fifth Doctor's home planet, a Time Lord traitor steals the bio-data code of another Time Lord and provides it to the Renegade, a creature composed of antimatter. The High Council of the Time Lords issue a Warrant of Termination on the Doctor to ensure the Renegade can no longer bond with him. The Doctor is taken for execution, despite Nyssa's attempts to save him, and placed in a dispersal chamber.
Unbeknownst to the High Council, The Doctor's mind has been taken into the Matrix, the repository of all Time Lord knowledge, while his body is hidden. The Renegade, who demands an opportunity to return to the Universe it once inhabited, contacts him. The truth of the aborted execution is discovered by the Castellan, who tells Nyssa, Damon, and the High Council that the Doctor is alive.
In Amsterdam, the Doctor's former companion Tegan is looking for her cousin Colin Frazer. She is greeted by his friend Robin Stuart, who explains that Colin disappeared while they were crashing in the crypt of the Frankendael mansion. The Renegade, which has established its base at the Frankendael, finds them and uses Tegan as bait to force the Doctor to obey him. The Doctor is returned to normal space on Gallifrey where he makes for the High Council Chamber.
Time Lord Councillor Hedin is revealed as the traitor who transmitted the bio-data. Hedin is in awe of his master Omega, first of the Time Lords and pioneer of time travel. Hedin wishes to release Omega from his exile in a universe of antimatter, not realising the great Time Lord has been driven insane by his years of solitary confinement. The Castellan kills Councillor Hedin, but this does not prevent Omega using the Arc of Infinity to seize total control of the Matrix and come to Earth. When he peels his decayed mask away, he reveals the features of the Doctor, whom he now perfectly resembles.
Omega leaves for Amsterdam with the Doctor and Nyssa in pursuit. Within a short time, the Doctor's prediction of an unstable transfer begins to come true: Omega's flesh decays and it is clear his new body is not permanent. When the Doctor and Nyssa catch up with him, it is a painful task for the Doctor to use the Ergon's antimatter converter on Omega, expelling him back to his own universe of antimatter. The Time Lord High Council on Gallifrey detects the end of the threat. Once Tegan has checked on her cousin's progress in hospital, she decides to rejoin the TARDIS crew.
The working titles for this story were The Time of Neman[3] and The Time of Omega.[citation needed] For Parts One and Two, the character of Omega was credited as "The Renegade" on the end credits. Colin Baker stated on Doctor Who: The Colin Baker Years video that John Nathan-Turner believed his performance was a little arch, and therefore gave him the nickname of Archie.
Substantial portions of the story were filmed on location in Amsterdam. This was only the second time the show had filmed outside of Britain. John Nathan-Turner hoped to repeat the success of the first story filmed overseas, City of Death (1979). Amsterdam was chosen both because the BBC had recently developed contacts there and because it was cheap to arrange travel and hotel accommodations. Story writer Johnny Byrne had some trouble at first because the producers wanted a plot that made the Amsterdam setting a key factor in the course of events, rather than him just happening to be there.
Part One was broadcast on a Monday[4] in contrast to the rest of this season's episodes, which were all transmitted on consecutive Tuesday and Wednesday evenings.
Colin Baker (who would later portray the Sixth Doctor) appeared in the serial as Commander Maxil.[5] It was his performance in this role (which, according to Baker, producer John Nathan-Turner repeatedly told him to "tone down") that first brought him to the attention of the production office. Shortly after the production, the Assistant Floor Manager on the serial, Lynn Richards, invited Colin Baker to her wedding reception. Amongst the other guests were Ron Jones, Peter Davison, Sarah Sutton, Eric Saward, John Nathan-Turner and Gary Downie. Baker has said in a number of interviews that his entertaining form at the party directly led to his being cast as the Sixth Doctor the following year. Baker reprised the role of Maxil as an uncredited cameo in the 2006 Big Finish Productions audio play Gallifrey: Appropriation.
Elspet Gray, who played Thalia, later played Hera in the audio play Immortal Beloved. Her character's name is shared with the Greek Muse of comedy.[original research?] At the Fifth Element convention in London in February 2010, Alastair Cumming (who played Colin Frazer) explained that he is not related to Fiona Cumming (director of the Fifth Doctor serials Castrovalva (1982), Snakedance, Enlightenment (both 1983) and Planet of Fire (1984)), despite frequent reports that she is his mother.
Leela, the fourth Doctor's previous companion who remained on Gallifrey at the conclusion of her final televised story, is mentioned in the script, but the production documentation makes no reference to her character ever being scheduled to appear in the story.[7]
Arc of Infinity was released on VHS in March 1994. A double-pack DVD featuring both Time-Flight and Arc of Infinity was released on 6 August 2007. This serial was also released as part of the Doctor Who DVD Files in Issue 108 on 20 February 2013. In September 2023, the story was released again in an upgraded format for Blu-ray, being included with the other stories from Season 20 in the Doctor Who - The Collection Box Set.[8]