Time Paradox

"You are no better than the ! Carelessly causing one time paradox after another, your actions will do nothing but deny humanity of their future! I really wanted to save the human race, yet you people continue to meddle with the past! Is this what you really want, will you deny mankind of their desired future?!"

- Azwel voicing out his disapproval on the Kamen RIders' exploiting time travel

A time paradox, or temporal paradox is a theoretical conflict between past and future events that occurs when mutually-exclusive changes are made in the timeline. In Taki Gaiden: The Kunoichi Who Leapt Through Time, this only applies to the rebooted timeline of the World of Soulcalibur as these events taking place in the latest Soul series fighting game, Soulcalibur VI.

Overview
Due to the Kamen Riders' interference with the SCVI timeline, and by extension interactions with the characters in said timeline, it usually leads to a creation of an alternate timeline with unintended consequences. This also applies to causing the death of a significant playable character from the game.

Another Taki
Another Taki is Taki's new timeline counterpart due to the latter having thrown into the 400 years into the future before the new timeline. The adaptation of Another Taki's Soul Chronicle was the first instance to feature a time paradox.
 * Cause: Following Another Taki defeating Gel-O-Fury in Hoko-ji temple, she learns from Geki that her master, Toki went to the west to search for Soul Edge. In order to prevent Toki from reaching Soul Edge, Another Taki asks her original counterpart to go back further to 1583 to kill Toki. The original Taki defeats Toki with the GalaxyArmor.
 * Effect: The death of Toki in the new timeline results in a time paradox where Another Taki is no longer labeled an outcast and the Fu-Ma clan no longer pursuing her, making her quest to destroy Soul Edge a lot easier and safer.

Astaroth
Astaroth is a member of Nightmare's faction, and a golem created by the Fygul Cestemus to seek after the weapon.
 * Cause: After Ivy Valentine was recruited to Nightmare's faction and ends up alongside with the Fygul Cestemus giant, Astaroth. While Astaroth singlehandedly kills a number of helpless individuals to satisfy his bloodlust, the giant collapses to his knees and dissolves to a pile of motes.
 * Effect: It was later revealed that Ray massacred the Fygul Cestemus, the cult who worshiped the god of war Ares who seek after the cursed sword to appease the said god. With high priest Kunpaetku being one of Ray's victims, her actions had prevented Astaroth's creation. Astaroth's erasure from existence results in drastic changes to the SCVI timeline, namely the deaths of Maxi's crew at the giant's hand being prevented.

Ivy Valentine
Ivy is another member of Nightmare's faction who is secretly intending to destroy Soul Edge.
 * Cause: The original Taki tells Ivy of her cursed blood and her connection to Cervantes de Leon instead of her new timeline counterpart.
 * Effect: This action prematurely leads to Ivy being drawn to Cervantes and defecting Schwarzstorm as early than in her character episode in the game.

Maxi
In Maxi's character episode, a shady merchant Lyla tasks Maxi and his crew to protect a counterfeit Soul Edge.
 * Cause: kills Lyla and her underling when Kyam catches them.
 * Effect: This prevents Yoshimitsu from being fought, and Ray instead appears in his place.

Tira
This is the only episode not to adapted from a Soul Chronicle character arc, and instead Tira's encounter with Ray is very similar to her sub-boss fight in Soulcalibur III's Tales of Souls.
 * Cause: Ray kills Tira with a Sky Burial before throwing her bloodied, lifeless body on the river.
 * Effect: Tira's death prevents the events of Soulcalibur V in the new timeline from coming to pass.

Raphael & Amy Sorel
Azwel attempts to use the Quattuor Orbis on Amy in his plan to turn her into Viola in the New Timeline.
 * Cause:
 * destroys the Quattuor Orbis right in front of Azwel.
 * Goro Izumi and defeat Raphael before he could reach Soul Edge.
 * Effect:
 * Azwel's plan to turn Amy into Viola never comes to pass.
 * Raphael stays permanently human rather than becoming a Malfested vampire like in the original timeline.