Fixed point in time

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The Doctor appearing to die at Lake Silencio, on 22 April 2011, was a notable fixed point in time. (TV: The Wedding of River Song)

Fixed points in time were moments in the space-time continuum at which events were set in stone and could never, ever be changed, no matter what. The Time Lords knew which points in time were "fixed", which the Ninth Doctor said was a maddening experience to have to go through. (TV: The Parting of the Ways) This was called 'the burden of the Time Lords' by the Tenth Doctor, who was trying to explain to Donna why he couldn't prevent Mount Vesuvius from erupting or save the people of Pompeii. (TV: The Fires of Pompeii)

Definition

Fixed points were events and/or individuals who had such long-standing impacts on the timeline that no one, not even Time Lords, dared interfere with their natural progression. The Doctor, free to interfere in alien invasions and save planets in most cases, could neither interfere nor interact with these fixed points, out of fear of damaging reality. Were a fixed point to be interfered with, time would often find a way to make the timeline continue with minimal changes.

For example when the Doctor saved Adelaide Brooke and two of her crew, Brooke committed suicide to preserve the timeline with minimal changes; the events that occured on Bowie Base One were revealed to the public by the surviving members of the crew with with Adelaide being hailed as a hero for her heroics in stopping the viral menace, which did not happen in the original timeline. On this occasion the Doctor had been able to bend a fixed point and had risked the safety of the whole of reality in the process but he had not truly broken it because of Adelaide's sacrifice. (TV: The Waters of Mars)

Another example is that the Doctor was fated to die at Lake Silencio, meaning he had to die there, or more precisely, fake his death there. When Gantok prepared to kill him in revenge for being beaten at Live Chess, the Doctor was, much to his horror, saved from being shot by his non-destined killer by a trap hole that fed Gantok to the ravenous skulls of the Headless Monks. (TV:The Wedding of River Song)

However if one actually broke a fixed point in time, as when River Song refused to kill the Doctor, time would freeze and collapse; reality would "die". If this happened whomever had broken the fixed point had to make physical contact with the person who was also a main part of it. In other words, when River shot the Doctor at Lake Silencio, the fixed point in time was focussed entirely on just the two of them and time was still in flux all around them, explaining why the Doctor couldn't get time started again by touching either Amy Pond or Rory Williams, who had also been at Lake Silencio. If the Doctor and River touched each other - or kissed as they did at their wedding - time would start moving again. It should be noted that River is the only known person to change a fixed point to such a degree that the whole of reality was put in danger.(TV:The Wedding of River Song)

Those who created a fixed point in time also had to be very specific about what they wanted to happen in it. The Silence simply assumed that the fixed point at Lake Silencio meant that the Doctor would die, never realising that he could actually fake his death instead. The Doctor did turn up for his "death", just as he was destined to do, but he had "dressed for the occasion" and was safely inside the Tesselecta at the time, fooling almost the whole Universe into thinking he was dead.(TV:The Wedding of River Song)

With a "still point in time", such as Lake Silencio, it was easier to create a fixed point in time. The only known way to actually create a fixed point in time was by writing events down. If someone read about events that were going to happen to them in the future, then the events had to happen the way they had been read because a fixed point would be created. Time was still in flux as long as the reader had not read about his or her own future. The Doctor had seen records of his death at Lake Silencio, but the Silence were never specific about whether he was going to actually die or just fake his death, which allowed the Doctor to outwit them.(TV: The Wedding of River Song, The Angels Take Manhattan)

Notable fixed points

Far from defining a fixed point, the First Doctor implied that the outcome of the battle of Hastings could have been changed by the Monk, but that would have put at risk the "pattern of world history". (TV: The Time Meddler)

Implied to be a fixed point was the death of Pete Tyler on 7 November 1987. Rose Tyler saved his life and the paradox allowed the invasion of Reapers. The timeline returned to normal with the Reapers gone, when Pete realised what had happened and ran out in front of the car that should have killed him. The only thing changed in the new timeline was where he died, that the driver of the car which struck him stopped and someone (Rose) was with him when he died. (TV: Father's Day)

The destruction of Ockora in 2204 was a fixed point. When the Second Doctor warned the Selachian Supreme Leader, he realised they could have done something about it. The Supreme Leader and forty Selachian soldiers escaped the planet's destruction and boarded the Triumph, the ship which dropped the G-bomb which destroyed Ockora. They killed everyone on the ship, but the other G-bomb was accidentally set off, leading to the formation of another black hole. The Doctor considered the formation of another black hole an acceptably small change. (PROSE: The Final Sanction)

The Doctor explained to Nyssa that the Great Fire of London would have happened whether they were there or not (TV: The Visitation, Black Orchid) implying it to be fixed in time.

Jack Harkness became a fixed point in time after his resurrection by Rose Tyler, which caused him to become immortal. (TV: The Parting of the Ways, Utopia) Jack temporarily lost his immortality due to Miracle Day, but Rex Matheson and he became immortal afterwards. (TV: The New World, The Blood Line)

Whether they both became fixed points is unknown.

The destruction of Pompeii by the Vesuvius volcano was a fixed point in time caused by the Doctor. As well as its eruption, the deaths of most of the citizens of Pompeii were fixed. The Doctor did save one family, despite his unwillingness to interfere further. (TV: The Fires of Pompeii)

The death of explorer Adelaide Brooke was one of the few times the Doctor intentionally interfered with a fixed point. His rationale was that, as the last surviving Time Lord, the Laws of Time were his to command. In the end, Brooke committed suicide, allowing the timeline to unfold with only minor changes. (TV: The Waters of Mars)

The Doctor also interfered with a fixed point in time shortly before or after the previous event, by saving the life of Emily Winter, a film actress in 1920s-era Hollywood. He was put on trial by the Shadow Proclamation for this. (COMIC: Fugitive)

The Doctor's apparent death in his eleventh incarnation, was a fixed point in time arranged by The Silence. The Doctor was seemingly killed in Utah, at Lake Silencio, on 22 April 2011 at 5:02 pm. When River Song tried to prevent this, an alternate timeline was created where all of time occurred at the same time and it was always 22 April 2011, at 5:02 pm. The Doctor set things right by kissing River, shorting out the time differential between them and making events revert to the moment when she was supposed to kill him. It was later shown that the fixed point was actually not his death, and the Doctor who had "died" was actually the Teselecta - with the Doctor himself safely inside. (TV: The Impossible Astronaut, The Wedding of River Song)

The death of one of his companions, Adric, was tied to the extinction of the dinosaurs. When the Doctor's other companions urged him to use the TARDIS to rescue Adric, he refused. His explanation implied that this event was a fixed point.

When Amy Pond learned of her husband Rory Williams' death in the past after being sent back in time by a Weeping Angel, she decided to go back through the Angel and live a life with him in the past. The Doctor warned her that doing so would create a fixed point and he could never see her again, but she did so anyway and Rory's grave changed to reflect it now being Amy's grave as well. (TV: The Angels Take Manhattan) Note that this may have created a minor paradox as Amy had already seen Rory's grave without her name on it - implying that he had already died alone, in the past, and her going back in time would then change that supposedly fixed fact.

Time in flux

The opposite of fixed points was time in flux. At these points time could change completely.

Flux points were relatively insignificant (on a universal scale) events that could be altered with relatively little to no consequence. The Doctor often meddled at these moments. (TV: The Christmas Invasion, PROSE: I am a Dalek) When the Tenth Doctor first met Martha Jones, he told her that "Crossing into established events is strictly forbidden ... except for cheap tricks." (TV: Smith and Jones)

Fluxing points