
ACCELERATOR
Strongest Esper & Board Chairman
PERSONALITY EVOLUTION

Due to the potential of his ability, Accelerator has been targeted by assassins and researchers throughout his life. As a result, he only believes in power and trusts no one.
He also became a jolly and mocking, yet also twisted and maniacal person. While fighting, he invokes fear and has a sadistic tone. He willingly joins the SISTER experiment to gain a reputation as the most powerful and feared esper so that no one would dare to be foolish enough to challenge him and won't hesitate to kill anyone who gets in his way. The Sisters' memories of his behavior during the experiment may suggest that he is, in a way, a pacifist; because his power won't disappear, the only way he sees an end to the fighting is to be so strong and sadistic that no one would dare to raise a finger against him. He even seems to attempt to frighten the Sisters out of fighting or otherwise encourage them to refuse their battles.
After meeting Last Order, he strives to protect her. He saved her from Amai Ao's plot and from being pursued by the Hound Dogs. He treats Index in a similar fashion, such as when he buys her lunch while searching for Last Order and by protecting her from the Hound Dogs. By Volume 19, he has mellowed out to the point that he actually lectures a child in order to prevent him from getting himself killed after a hostage situation. In spite of this, he does so in a violent way. In volume 15 he styles himself as the perfect villain in contrast to Touma being the ideal hero. However, despite his words, there is no mention in the narration that he has killed anyone and goes out of his way to incapacitate only his enemies up until his battle with Kakine, who challenges his contradictory way of thinking. This contrast with Touma is hinted at throughout the novels after Volume 5 when it is shown that he both idolizes and is slightly jealous of Touma's heroic personality, and is outright shown when he and Touma finally come to blows in Volume 20.
By comparison according to Heaven Canceller, Touma and Accelerator are very similar, but their methods are like opposite sides of a coin; Touma is able to protect his loved ones without killing and is able to stand by their side, while Accelerator protects his loved ones through violent methods and even admits that he is unable to stand by Last Order and Yomikawa Aiho's side. Deep down, he is someone that aches for the light, as shown when Yomikawa Aiho was able to walk up to him and slowly take a gun from his hands before he tried to finish off Kakine Teitoku after their fight,[4] and later when he refused to hurt a Misaka Worst clone and tried to heal her wounds after she tried to kill herself. His obsession with heroes and villains is excised after his defeat in his second fight with Kamijou Touma, telling him to reject the confines of heroes and villains and just do whatever he needs to protect those he cares for.
Aiwass has also commented on the differences between Touma and Accelerator – stating how Accelerator craves for the wholesomeness of being a 'hero' like Touma, even to the point that he declared himself evil because he believes he cannot reach that level. He is someone that tries hard to redeem himself.
Accelerator was shown to often arrogantly underestimate his enemies earlier in the series, which led to his loss against Touma. However, after nearly being killed by Kihara Amata and fighting Komaba Ritoku, he no longer underestimates his enemies. This fact is noted by one of the terrorists in Hula Hoop in Volume 19 as possibly being the most terrifying thing about him: he always uses exactly how much force he needs to in order to defeat his enemy: no more and no less. If he ever underestimated his enemies, it would have given them an opening they could have exploited, but since he didn't, he simply wiped them out with manic glee. He has a rather lazy personality, showing indifference to people and the events that surround him most of the time. He has a vulgar and threatening way of speaking with easy fits of anger, but he is also capable of showing himself to be moderate and rational if the circumstances are serious.
Misaka Worst stated that Accelerator is a tsundere while she made a brief comparison between him and Misaka Mikoto. For this reason, he rarely shows emotions of affection and concern for others, hiding most of the time behind a mask of hostility and indifference in order not to seem weak. Despite this, the people he helped managed to see beyond that mask, showing gratitude and respect for him, and even admiration from Esther Rosenthal who wanted to be her student.
In the final arc of New Testament, Accelerator gains a new view on life. He decides to reach out to more people rather than keeping to himself and only his family. He wishes to reach out a hand to those in need to widen his circle, as well as become a role model for the Students in Academy City as the new Board Chairman of the City. He saves Qliphah and demands that she lives. Claiming that he will make sure she gets to live a happy life with a happy ending as part of their contract, showing his growth as an individual who is stepping outside his comfortzone in his own way, whether it makes him seem weak or not.

Ability
V E C T O R M A N I P U L A T I ON
Position, momentum and force are the three basic types of vectors. Position is the coordinate and orientation of something, whilst its momentum refers to both its speed and trajectory. Force is instead the direction and strength of its acceleration, and even if the size of its vector was zero, it would still count as one due to having a direction. Even if one is stationary, they still carry a Vector.
Since every form of matter can be described as a vector, manipulating it as such allows the user to create an "absolute defense" field that inhibits harmful objects from entering it. This can be done, for example, by either reversing their kinetic vectors or instantaneously relocating them to a different region of space.
Accelerator is named after his ability. It creates a thin field of AIM around him, which allows him to modify the vector values of anything he touches or anything that attempts to enter his field and anything on the inside of it. This allows him to control vectors (magnitude and direction) and influence objects that have vectors such as bullets, heat, and electricity. After the events of Volume 5, his brain has been damaged, and he has to rely on a choker-style electrode that connects him to the Misaka Network. The brainwave network allows him to use language, as well as making up for his lost ability to make calculations, although it is stated that it's less than half of what he once had. Furthermore, the network enables Accelerator to reflect ultraviolet rays even when he isn't in esper mode. When using the network in esper mode, the battery of the electrode initially only lasts fifteen minutes. That changes in when he joins GROUP and its technical team cranks his time up to thirty minutes. He does not need the Misaka Network to use his abilities when in an Winged state.
He is shown to be far stronger than any other Level 5 in Academy City, being able to easily defeat the #2 Level 5 esper Kakine Teitoku without the use of his black wings. It should be noted that this fight took place after Accelerator's brain was damaged and he was forced to rely on the Misaka Network to do his calculations, which reduced him to having less than half of his former calculation abilities. Accelerator has stated that as long as he has experienced it, he can analyze forces unknown to him, by following the vectors that have been applied, nearly like the immune system. He used this ability to understand Aiwass's"inexplicable laws." His ability takes on several different methods and means:
R E D I R E C T I O N
Rather than creating a vector from nothing, Accelerator may instead alter the vector of an object that he touches or enters his field. This aspect of his power is versatile offensively and defensively; not needing conscious control , meaning he does not need to be aware of the attack coming towards him. Accelerator may deflect or redirect bullets that strike him, or the pressure wave of an explosion without requiring his awareness of the threat. Accelerator may apply this ability consciously however, to such effect as reversing the blood flow within someone's body by touching an open wound. Accelerator must consciously choose which vectors naturally interact with him-- including the vector forces acting on him from gravity or incident light. Because of this 'reflection' of light, unnecessary ultraviolet light is deflected by Accelerator, contributing to his albino appearance as his body ceases to produce melanin. The defensive power of this ability is impressive, but if negated or worked around through some other means, Accelerator himself is quite fragile and easily beaten down.
This ability ignores the magnitude of any attack thrown at him and redirects it with twice its power automatically. The magnitude of the attack is irrelevant so long as it carries a Vector with it. One could attack with the force of the Big Bang and it'd still be calculated and redirected. This includes rebounding forces which allows him to ignore the durability of his opponents physically and always break through their defenses no matter how durable they are. This ability, as it also works inwards on his own body, prevents but is not limited to the following:
Coordinate Based Attacks
Mind Manipulation
Internal Based Abilities
Telekinesis and abilities of a similar nature
Teleportation
V E C T O R C O N T R O L
Vector Control is the active effect of the Accelerator and requires active calculations in order to maintain it, as even a slight error can nullify the effect. A recent discovery of Accelerator's due to him not being aware of his own potential, the effect allows Accelerator to manipulate vectors instead of redirecting them. It is most likely this effect of being able control nearly everything in the world that Accelerator is described as "The One Who Wields the Power of God" , even more so now that he can analyze and understand different laws. Furthermore, it is this effect that allows Accelerator to use magic, though not without consequences.
Vector Control allows Accelerator to place Vectors even on things lacking Vectors, provided he can understand them. He can freely manipulate its existing vectors or even apply some new ones. Further more, it allows him to directly affect the magnitude of his own attacks.
This can take the form of many things, such as but not limited too:
Increased Strength
Increased Speed
Elemental Manipulation
Gravity Manipulation
Force Manipulation
Matter Manipulation
Biology Manipulation (Nervous, bio-electricity, Blood-flow and organ control)
Kinetic Energy
Planetary Vectors
Flight
MISCELLANEOUS VECTOR ABILITIES
VECTOR SHOOTING: By touching an object he can immediately change its movements vectors to launch it at high speeds as a projectile. He has used this to do things like launch metal construction pillars, throw metal containers or cars, kick pebbles at high speeds and turn regular falling leaves into a storm of razor sharp bullets.
REMOTE VECTOR CONTROL: After becoming proficient enough, Accelerator is able to manipulate Vectors on a spatial access without needing to touch them. Meaning he can control the Vector of an object with the flex of his hand or the flick of his finger, such as when he moved his hand downward and affected Teitoku's Gravity Vectors. This, however, requires precision and immense calculation power and is most used in his Winged States.
VECTOR ANALYSIS: Accelerator can sense and perceive the environment entirely through vectors, obtaining information such as frequency, speed, magnitude, size, structure, etc. One common application of this power is for him to predict the enemy's movements using the analyzed information.
VECTOR SLICE: Accelerator gathers weight or other vectors into a razor-thin blade that he can send towards the enemy as an invisible and silent slicing attack. This is capable of ignoring durability.
BODY MANIPULATION: By touching a person, Accelerator can read all the vectors in their body (which has the side effect of doubling as a crude medical checkup) and take total control of their body. He can use this to reverse their bloodflow and/or biolectricity, which would instantly kill them, or rewrite their brain to suit his needs. He can similarly instantly rip off all the skin of a human by touching. Accelerator can also similarly manipulate his own bloodflow to survive what otherwise would be lethal injuries, like when he used his vector manipulation to keep his blood circulating after Aiwass had nearly cut him in half with its wings, even circulating his blood through air. He can likely do the same with his own biolectricity.
W I N G E D F O R M S
After developing/updating his powers and Personal Reality, Accelerator has gained the ability to manifest wings that have been compared to an angel's wings. The composition of the wings is unknown, Index Librorum Prohibitorum described them as resembling a field of Telesma, but using a different substance; and Kakine Teitoku stated they were Dark Matter. Accelerator's wings appear to have some unknown esoteric effects, as Beetle 05, who should have the same level and speed of regeneration as the old Kakine, had some issue reforming his body after it was crushed by Rensa using Accelerator's black wings. In addition to that, upon awakening to his wings Accelerator displayed the power to manipulate vectors from a distance.
These wings are capable of negating regeneration on at least a sub-atomic level.

B L A C K W I N G S
Accelerator manifests dozens of dark wings that seem more like jets than wings as they spray a jet black ink-like substance that seems to swallow light. Also, Accelerator's voice starts to produce weird noises in this state as he tries to speak angelic language, much like Gabriel or Aiwass do at times. The wings are incredibly sharp, easily slicing through multiple buildings just by its regular movements when they first appear. The shape and size of the wings can be controlled by Accelerator at will, who can even split a wing into a rain of thousands of sharp stakes, each one of them being 100 meters long. While using the wings Accelerator's body is much more durable, easily taking a grenade exploding centimeters away from his head without suffering a scratch. He is also capable of utilizing an 'unexplainable invisible power', capable of launching Amata Kihara into the sky at dozens of times at the speed of sound, turning him into plasma; as well as crushing Kakine Teitoku deep into the ground and tearing off his right hand with a single motion of his hand. Going by his and Rensa's uses of these wings, they seem to appear when Accelerator's emotions run out of control and/or he's cornered in a fight.

W H I T E W I N G S
An apparently more powerful version of his dark wings, Accelerator first used these wings during the climax of World War III. While not a lot is known about these wings, his defenses rise considerably with them; as he was able to tank a attack that could destroy all of Eurasia without his vector shield. Unlike the previous wings, these ones seem to be created by Accel's honest desire to protect something. Noticeably, the first time he used these wings he also manifested an angelic white halo, but neither he or Rensa have managed to replicate this halo in later uses of the white wings. By flapping the wings Accelerator can convert some 'unknown energy' into lift and fly without emitting any force down to the earth.

P L A T I N U M W I N G S
A more powerful version of his white wings, Accelerator first used these wings during the fight against Coronzon. The wings are achieved thanks to the connection to the metaphysical Clonoth, a tree very similar to the Sephiroth that is more conceptual than physical, such a connection is achieved trough the linking of Qliphah Puzzle 545, himself and the Will of the Misaka Network. The wings are similar to those of Aiwass, and are supposed to be a combination of both magic and scientific knowledge, not much has been shown until now, but we can safely assume they at least have the same property of the white wings, as well as giving him access to soul/law manipulation, the capability of performing Holistic phenomenon, and an instinctive understating of magical and conceptual vectors for now. The same 'unknown energy' used in his previous winged forms can now be converted into spears-like shapes that are able to nullify magical phenomenon through its inflicted damage. Noteworthy that even in this form casting a spell process still kicks in the recoil damage common for espers, but the increased durability that comes with it generally makes up for that drawback instead.
In this form, Accelerator is capable of rewriting new Laws for the World and manipulating the Soul, as well as forcing Astral Projection. The full potency shown so far was shaking the Galaxy and applying that force onto the Soul of Coronzon to force an Astral Projection.
M A G I C
Accelerator has demonstrated a basic understanding of magic. In volume 22, he used his vector ability to interpret the song used by Index to save Last Order and repeated the breathing method, casting the spell. As this was a pure magic spell, he suffered serious harm but saved Last Order. After an explanation on the theory of magic provided by Leivinia Birdway, Accelerator displays his extreme delicate control over magic to having a side effect of using magic as unnaturally sweating rather than rupture of blood vessels and organ damage. An example of this is even when he has only a rough idea what Feng Shui was, he is able to use a limited magic detection and then combine it with his knowledge of group psychology to increase its accuracy. His knowledge on magic has since deepened even further. He demonstrated manipulating the vectors of magic in order to eliminate Qliphah Puzzle 545's contract with Coronzon, without harming her. This act was so difficult, that not even Aleister and Mather's had considered doing it this way and may or may not would have been able to. However, when it comes to the proper use of magic Accelerator is still an amateur. After crossing the Abyss and embedding the Clonoth into reality, Accelerator has gained a much better understanding of magic. Qliphah Puzzle 545 has stated that Accelerator had now fully analyzed the world of magic and can better use magic himself.

THE CLONOTH
The previously unnamed Tree which Accelerator rewrote and implanted into the Phase. So far he has demonstrated that once a connection is established to this tree through Qliphah (likely instantaneous) it increases his calculation powers and upgrades his reflection capabilities. Giving him now the ability to manipulate unknown energy in the form of invisible vortex-like spears to null Magic and an upgraded field that carries Anti-Magic properties.
This lets him completely defend and negate magic on all levels, using the unknown energy to cancel and negate them completely while being able to defend against any magical Laws forced onto him.
To go into further detail about the Clonoth, it's another facet of the Misaka Network, , separate from the pre-existing Sephiroth and Qliphoth.
Like the Sephiroth and the Qliphoth, the Clonoth has a structure of 10 spheres with 22 paths connecting them, adding up to 32 (with 31 and 32 as duplicates) and with a single path through them all shown by a set of 78 Tarot cards. Unlike the tree of life which represents the positive side of the human mind and the wicked tree which represents the negative side, the young third tree carries neither good or evil. Created by human hands and not found in any previous myth or legend, rather than relying on the hand of god, the new tree instead provides possibilities controlled by humanity, and covers the changes to the human mind and soul brought about through the technological advances and cutting-edge civilization which humans have created for themselves.
The Clonoth is still a sapling compared to the other two trees, but when it was embedded into the world by Accelerator, the external pressure produced was sufficient to affect Coronzon, the Great Demon from the Abyss who couldn't be defeated through the use of the Sephiroth or Qliphoth, temporarily forcing the demon's soul from her physical body. According to Coronzon herself, embedding the third tree into the world would change things more fundamentally than Angel Fall. When drawing upon the mystical power of the Clonoth and planting the tree, with the support of Qliphah Puzzle 545 (who had inherited her creator's essence as a guide and had been granted authority as a guest user of the network) and the Will of the Misaka Network, Accelerator manifested pale, nearly transparent platinum wings, similar to those of the Holy Guardian Angel Aiwass, and also sustained injuries from the side-effects of using something like magic while being an esper.
QUICK SUMMARY
Accelerator (一方通行アクセラレータ Ippō Tsūkō (Akuserarēta)?, lit. "One-Way Road") is the 1st-ranked Level 5 and the strongest esper currently residing in Academy City.
He is the second protagonist of the Science Side in the Toaru Majutsu no Index series. First appearing chronologically in Toaru Majutsu no Index as an antagonist, he later becomes the male protagonist of the Science Side after Kamijou Touma defeated him. His journey to a more "heroic" role in the story progresses after meeting and saving Last Order and is forced into an ironic twist of fate where his life now depends on the Sisters, clones he previously killed by the thousands. He is also a major antagonistic character in Toaru Kagaku no Railgun and the protagonist of Toaru Kagaku no Accelerator.
In his role as a protagonist, he is forced to deal with the cruel Dark Side of Academy City and the secret conspiracies surrounding it. As the most powerful esper of Academy City, his existence and powers are tied to the plans of Aleister Crowley, the founder of Academy City, alongside Kamijou Touma.
O L D T E S T A M E N T
B A C K G R O U N D

Much of Accelerator's past is unknown, but he mentioned that he once had a "normal name" which has yet to be revealed, and most likely never will, as Accelerator himself forgot it. The novels state that his last name consists of two kanji and his first name three, yet his name had no real meaning in it.
Ever since taking the Power Curriculum Program, and realizing his powers, Accelerator was sent to a "special class", most likely, the Special Ability Institute, and spent much of his childhood there until he turned nine-years-old, before being moved into another special class. Both of these had him as the only student. It can be presumed that this occurred before the incident involving the military.
When Accelerator was a child, he couldn't fit in with the other children due to his powers, harming those that tried to get close to him. Around at the age of ten, a particular incident with children escalated with Academy City being deployed against him, and he later "gave up", and was sent to a special class. This has made him something of a loner and distrustful towards other people. After some time, Accelerator was discovered by Kihara Amata, who trained him on how to control his powers and influenced him enough for Accelerator to adopt his personality. It can be assumed that the Dark May Project started after Accelerator acquired the cool personality he now has from Amata.
SISTERS EXPERIMENT ARC

Accelerator's ability made him the subject of an experiment attempting to create the first Level 6 esper; according to the city's best supercomputer, Tree Diagram, this feat could only be achieved by killing Misaka Mikoto, the 'Railgun', 128 times. However, because it was impossible to create 128 of these 'railguns', due to the 'Level 5 Mass Production Plan' only being capable of producing a sub-standard clone of Mikoto at a power of Level 2-3, a substitute plan was arranged where Accelerator would have to kill 20,000 Misaka clones in a variety of methods. He willingly joins the experiment to gain a reputation as the most powerful and feared esper so that no one would be foolish enough to challenge him ever again. By the beginning of the Sisters Arc (index), Accelerator has already killed the first 10,030 Misaka Clones and during the course of the arc, kills clone 10,031 before the experiment is ultimately stopped.
In one of the battles, he kills a clone in a vicinity near Kamijou Touma. This event causes Touma to intervene in the experiment. Touma, using the logic that if the weakest Level 0 (Touma) can defeat the strongest Level 5 (Accelerator) then the experiment will fall apart, as the prevailing condition that Accelerator is the strongest esper would be nullified.
Accelerator is later seen in another fight against Misaka 10032, where he tells her that he wants to gain a status that is beyond simply being the strongest in Academy City - he wants to attain Level 6, so that challenging him would be an unimaginable thought- even a sin. They are interrupted by Kamijou Touma who challenges him to battle just as Accelerator was about to finish the clone off. Initially seeing Touma as a weakling, he later panics and is confused as to why Touma was capable of blocking his abilities. Eventually, Touma is able to beat Accelerator using his street fighting skills, exploiting Accelerator's physical weakness (due to the nature of his power, he always defeated his foes with a single hit and never took damage, he therefore had no experience in hand-to-hand combat as his opponents could never reach him), and ending the experiment.
Later it is revealed that he originally wanted this reputation simply so that no one would ever get hurt trying to attack him, resulting in their own destruction, though as he went deeper into Academy City's dark side his goals slowly became more and more twisted.
THREE STORIES ARC

After his defeat, Accelerator notices that something has changed within him as evidenced by the lack of his usual aggressive behavior when confronted by delinquents, who now believe that Accelerator is actually weak, attacking him with increasing frequency. During one of his trips to buy coffee, Accelerator meets a hooded figure who had been following him for some time. After an awkward meeting, the figure identifies herself as Misaka Serial Number 20001 or better known as Last Order. She explains that she was released from her incubation tank prematurely and requests for Accelerator's help to contact the researchers, to which he nonchalantly refuses. Despite the rejection, Last Order continues to follow Accelerator where they discover that his room had been severely vandalized by delinquents. Although Accelerator urges her to think twice about staying in his destroyed home, Last Order still persists in accepting his hospitality as she wants to be with someone. This baffles Accelerator, though he allows her to stay.
The next day, Accelerator brings Last Order out to a restaurant for a meal, where he notices Amai Ao, a scientist involved in the Sisters project, acting suspiciously before fleeing after being spotted by Accelerator. Here, Accelerator confronts Last Order over her care-free attitude towards him, reminding her of his role in the Level 6 Shift Project. Here, Last Order gives a psychoanalysis of Accelerator based on the actions he committed and deduces that Accelerator did not join the experiments willingly, therefore she bears no grudge against him and actually thanks him as his existence allowed the clones to be created. Accelerator refutes her claim, stating that his continuous killing of the Sisters proved that he did not care for their lives, but Last Order points out that he attempted to communicate to the Sisters in a harsh manner so as to discourage them from fighting him and believes that he never wanted to hurt them. Slightly disturbed and annoyed by her lecture, Accelerator leaves Last Order in the restaurant although he shows some concern for her as she nearly passes out after their talk.
Walking through the streets, Accelerator finds himself at one of the warehouses used in the Sisters project, confused by his intentions to help Last Order. Inside the facility, Accelerator meets an old acquaintance of his, Yoshikawa Kikyou whom he asks for equipment and instructions to help Last Order. Here, Yoshikawa reveals that Last Order is actually the Administrator of The Misaka Network and Ao has inserted a virus that will cause the Sisters to rampage out of control. Unexpectedly, Accelerator decides to recover Last Order in order to save her but is too late as Ao abducts her. However, Accelerator easily locates and incapacitates Ao before securing Last Order. Suddenly, the virus within Last Order begins to prime itself for activation, surprising Accelerator and Yoshikawa who initially thought the virus would activate much later. Despite Yoshikawa's insistence, Accelerator refuses to kill Last Order and instead uses his Vector Change to control Last Order's bioelectric frequency and delete the virus from within. Accelerator focuses his entire computation abilities on deleting the virus which leaves him defenseless against a recovered Ao, who shoots Accelerator in the head. Despite Ao's shot, Accelerator manages to erase the virus and save the world and the Sisters from each other. Accelerator is brought to a certain hospital where Heaven Canceller tells Yoshikawa that the bullet fragments in Accelerator's skull have damaged his computation, mobility, and language abilities, effectively crippling him. Accelerator is forced to wear a choker-style electrode that connects him to the Misaka Network. This is used to compensate for his language, mobility, and calculation skills as well as his Esper Ability, although it has been stated that he only has less than half of his original processing ability, thus making him weaker. Also, the choker has a rechargeable battery that keeps the terminal on the choker running, but the energy consumption of the choker differs greatly when used normally (a few days) to when used for his vector calculations (15~30mins upgraded).
TREE DIAGRAM REMNANT ARC

Accelerator sneaks out of the hospital he was in to destroy the remnants of Tree Diagram, as a request by Last Order. He meets with a weakened Musujime Awaki who carries a remnant of Tree Diagram, irritated by the fact that he was forced to help out and his opponent was only a "stupid looking third rate" like her. Although Awaki is aware of Accelerator's weakened state and believed that she could match him now, Accelerator is unperturbed. Simply replying that him being weaker doesn't make her any stronger, he quickly defeats her and destroys the remnants of Tree Diagram, ensuring that it will never be rebuilt.
ACADEMY CITY INVASION ARC

Accelerator, along with Last Order, leaves the hospital and moves into the apartment of the Anti-Skill Yomikawa Aiho as a request from her friend Yoshikawa Kikyou. Accelerator was reluctant since having him next to her would put her and others in high danger because of his enemies.
Later on, after a short nap, he realizes Last Order has gone missing, prompting him to search for her. During that time, he bumps into Index, not knowing her connection with Touma, and even treats her with food - costing him all of his pocket money. They separate as Index spots Touma amongst a crowd and runs towards him, just as Last Order runs to Accelerator. Because he wasn't in the mood to search for her again, he tells Last Order to keep quiet but she trips, almost crying because of some scraping on her hands and knees. Accelerator goes for some medicinal bands at a nearby pharmacy, but upon returning he is hit by a black van from the black-ops known as Hound Dogs, who were under the orders of Kihara Amata, the man who discovered his powers.
Amata's orders were to retrieve Last Order, but he decides to beat Accelerator to a pulp first, as he knows his powers inside out, including how to turn Accelerator's redirection against him and even negate his wind-based powers. In desperation, Accelerator blasts the captive Last Order away from the Hound Dogs with a wind blast, then manages to escape Kihara and his men by way of a chance distraction by an aloof Index, who came looking for him to return a pack of tissue he gave her. Just as Amata launches a homing missile at Accelerator and Index's getaway van, he is interrupted by Vento of the Front's arrival, letting the two escape.

Accelerator, considering Index dead weight, decides to drop Index off at the hospital where Heaven Canceller works, misleading her into thinking he needed a replacement battery for his choker electrode and having her fetch it (no replacement exists). He then sets off to kill Kihara Amata, crush the Hound Dogs and save Last Order, but decides to just focus on saving Last Order after a jarring conversation with Heaven Canceller, who reveals to him that he knows far more darkness than even Accelerator has encountered. Accelerator attempts to shake off the pursuing Hound Dogs temporarily but eventually resolves to force Kihara Amata into re-evaluating his priorities away from Last Order (and towards eliminating him) by wiping out his Hound Dogs. Unfortunately, after wiping out two whole squads with psychological tactics alone (conserving his remaining 7 minutes of active esper power), he snaps and goes all-out at a taunting, fleeing Hound Dog who manages to seek aid from two surviving Anti-Skills, and ends up on the Anti-Skills' wanted report.

After receiving a call from Touma (whose voice he fails to recognize) regarding Last Order's whereabouts, he gets a lead from a call from Kihara Amata, who now has Last Order captive, and breaks into one of Academy City Board of Directors' homes, digging up Amata's (and Last Order's) whereabouts. He attacks Amata's compound, but runs out of battery charge without being able to bring him down, yet ultimately kills him as he first "awakens," having an epiphany right as he was to be finished off. This is symbolic because the god that Accelerator`s power just happens to resemble is Osiris, the Egyptian god of the dead.
DOCUMENT OF CONSTANTINE ARC

Academy City put Accelerator in charge of the operation to subdue the problem with Terra of the Left in Avignon. Hundreds of HsPS-15 AI suits and eight HsB-02 planes were sent and proceeded to tear apart the city, using speed to create vacuums after the plane's path and sending iron sand into the vacuum to make it explode. Accelerator tells them to change their plans to bomb just the Palais des Papes instead of bombing whole Avignon, the order being approved when the pilot he was with checked with the higher ups.
At the end, Itsuwa sees Accelerator in the middle of the scorching flames caused by a HsB-02. Accelerator is speaking with one of the higher ups of Academy City on the phone, telling them to send troops to come search for Terra's corpse and to run DNA Tests to see if he's really dead. However, he didn't notice Touma and/or as they are covered by the steam. Accelerator leaves soon after to a deeper part of the palace. Itsuwa says she finds Accelerator, who is able to stand in the middle of such flames, to be even more terrifying than Terra.
BATTLE ROYALE ARC

It is unknown how many days Accelerator spent in Avignon for his mission there, though when he returned he was immediately pulled into a mission for GROUP. Before doing so, Accelerator apparently realized the need to acquire the designs for his Calculation assistance device. After Last Order leaves in a taxi after being released from the hospital, the Heaven Canceller goes to a vending machine to get some coffee, to which a gun is immediately pointed to the back of his head by Accelerator, newly arrived from Avignon. He demands from him the designs of the electrode as he is the inventor. He asks why he needs it and asks him why he isn't he letting him fix it if it’s not working, though Accelerator does not tell. Heaven Canceller carries the conversation and tells Accelerator that Last Order wanted to see him, to which Accelerator says it has nothing to do with him. However, Heaven Canceller rebuts this, saying that she was his patient who wanted to see him and arranging that is his job, leading to Accelerator to complain. The doctor takes out from his coat a USB stick and hands it to Accelerator, making him note of his preparedness, leading to the doctor say that is his job to prepare for his patients like Accelerator. As he waits for his cup to fill with coffee from the machine, he tells Accelerator that it'd be difficult to apply its contents as he created the important parts himself, and says that of if he wants to make an identical electrode he needs to manufacture those using machine tools. Accelerator hears but doesn't answer, taking the USB with him and silently departed. The doctor then turns around and finds Accelerator gone as his coffee has been prepared.
Around this time, the City is rocked by a rebellion from all sides of the Underworld. Underground and secret hit-squads who do dirty work for the Higher-Ups and various other tasks begin to rebel and use the chaos from all sides to accomplish their own individual goals, leaving Accelerator/GROUP, as well as a separate group called ITEM to clean up the mess. These hostile forces bare the names: MEMBER, BLOCK, SCHOOL. The appointed leader of SCHOOL is none-other than Kakine Teitoku, the Second Strongest Level 5 with the ability name 'Dark Matter' whose goal is to secure leverage against the Board Chairman of the City, Aleister Crowley.
GROUP and ITEM are able to quell the rebellions, with ITEM having a falling out over infighting and their Leader being taken out by one of their henchmen.
Due to BLOCK's and MEMBER's collapse things have settled down. Motoharu was taking care of wrapping things up, Awaki was taking care of her wounds, and Etzali was safe and likely took Xochitl to a hospital. Meanwhile, Accelerator went back to School District 7. He later receives a call from the GROUP liaison, though as usual he doesn't receive him well. He thanks Accelerator and GROUP for his efforts against BLOCK and MEMBER, saying that he is fortunate to have such capable subordinates. This however annoys Accelerator. The liaison points out however that he is thanking him from the bottom of his heart, and to prove it, gives him useful information related to Last Order's life.
During the ordeal, SCHOOL, Kakine Teitoku secured a device that allows him analyze sub-atomic atoms and used this to find extremely small drones which provide a visual network for the Board Chairman known as UNDER_LINE. Knowing that even gathering all the data he could from this, Kakine figured out that the only way to secure his position and make a deal with Aleister was to kill Accelerator, who was Aleister's Main Plan, with Kakine being the Spare.

Accelerator finds Kakine Teitoku torturing Uiharu Kazari for information to where Last Order's whereabouts where. After Uiharu defies Kakine, Accelerator throws a ATM vending machine at Kakine. Despite Accelerator's attack, it barely made a reaction on Kakine, saying that he was hurt. He however, says that he was irritated and that it was only right for him to come and kill him first. Accelerator mocks him however for talking and then taking a hostage (Uiharu Kazari). Kakine replies that Uiharu was only a little insurance as no one would fight Accelerator fairly. Kakine then mocks him for believing that protecting weaklings made him out as a good guy. Accelerator however states that Kakine still doesn't understand, and that he will show him on how even villains have standards.
They clash. Kakine is able to defend himself thanks to his ability, using his Dark Matter to create six angel-like wings which can defend even against Accelerator's immense vector control prowess. However, Kakine hadn't come into the fight without insurance. Kakine explains that, his ability Dark Matter, is matter that doesn't exist in this world. It's matter that cannot be explained and shouldn't exist, but exists once he makes it. Due to this, it acts on unknown laws to the world and is able to manipulate and change the properties of physics to his liking, such as turning light into a harmful ray or turning bodies into sand.

Through the use of this ability, Kakine is able to analyze Accelerator's ability and develops a counter measure. Accelerator's redirection filter is based upon what he registers as harmful and not harmful, things like light and gravity, which allows him to see and walk, are deemed 'not harmful' so by fusing these traits into light and changing its properties into a ray that can burn the skin, he is able to by-pass Accelerator's Vector Field and attack him.
By infusing 25 000 energies into the light that hits his wings, he can convert those into energy that can be registered as 'not harmful' by Accelerator's filter while transforming it into a powerful ray of light that can burn the skin, or wings that can even bypass his Vector Field.
This complicates things for Accelerator as even if changed the rules of his reflection, Kakine would merely inspect the change his Dark Matter and then continue his attack.
As they continued to attack each other, wreaking havoc upon their surroundings. Kakine mentions on how killing him, the #1, is the fastest method in accomplishing what he wants, which is to directly speak with Aleister himself. As they exchange blows, Kakine reasons that since Aleister has a web of plans up his sleeve, he needs to destroy all other plans, allowing him to the only viable plan left for him, the so-called "Spare Plan".
The two of them stood face to face, gauging each other. Accelerator thinks that there must be some truth to what Kakine has said about Aleister having many plans, and wonders what tragedy has struck him in the Dark Side of Academy City that shaped him to what he is to push him to what he does. Accelerator however mocks what Kakine said, to which Kakine says that despite Accelerator having the right to directly communicate with Aleister he doesn't use it and that he has no right say that to him. He tells Kakine that that the moment he spoke those words of his, he became common filth passing themselves as a great villain.
Kakine however is unconvinced, giving his explanation as to why, saying he doesn't want to touch normal people, and if he's in a good mood, he'd let bad guys live, though all in all he doesn't really care whether they live or die. He tells Accelerator that they are the same as in their battle he asks him how many bystanders got hurt by their attacks. Accelerator says that including the person (Uiharu Kazari) that shielded Last Order, they are all the same, and that Kakine, someone who kills bystanders has no right to lecture him, and that Kakine is not exempt from his own ideals. As Kakine doesn't believe this, Accelerator shows to him why he is #2 and he is #1, why there is an impassable wall between them. Here Kakine discovers, much to his disbelief, that despite the destruction caused by their battle, no bystander was hurt due to the efforts of Accelerator, everything was under his control from the beginning of the battle. Here Accelerator tells him that what he is what should be called a villain.

After this exchange of words, Kakine attacks. Accelerator claims that he has analyzed and now understands the process behind Dark Matter and claims he's able to now manipulate those unknown laws and add them to his Personal Reality. Kakine, unmoved by this, continues his assault, and is defeated almost instantly, with Accelerator claiming the depths of Dark Matter was actually quite shallow.
Though terribly injured, Kakine still lives. As Accelerator was not one of those "good guys" and since Kakine willingly involved civilians and Last Order, he prepares to execute the unconscious Kakine with this. Yomikawa Aiho appears before Accelerator and begs him to put down his gun and spare Kakine. Accelerator points a gun towards Aiho, as even though she was one of the "good guys" she impeded in what Accelerator believes to be his "path of evil". Accelerator hesitates, to which Aiho says that he can't do it, as he hasn't "rotted" that much. With Accelerator unable to fire, she slowly takes the gun from Accelerator's grasp and took away its ammunition. As Accelerator stared blankly after what had happened, he suddenly hears something: Kakine Teitoku has stabbed Aiho. Accelerator is in shock as Kakine restores his white wings and mocks Aiho's words to Accelerator. Afterwards Kakine rants on about the darkness and on how the both of them are still the same, unable to protect anybody, and will continue on killing. Kakine stands up and uses his powers to step upon Aiho. Accelerator begs to stop, but Kakine continues to torture Aiho, wanting him to push him to the edge, wanting him to be as low as him, mocking him for becoming soft. And thus, Kakine shatters the pillar that supported Accelerator.
Accelerator flies into a rage, and as he did against Amata, those Black Wings spread forth from him once again.

Seeing the black wings, Kakine deemed to be made from Dark Matter. Impressed by its power, Kakine that Dark Matter is only suitable as a spare plan, though he says that it doesn't meant it's all decided. With that his wings spread out and glowed, Accelerator and Dark Matter, black wings and white wings, the organic and inorganic, the One Who Wields the Power of God and the One Who has Touched the Territory of God, face to face. Then an unprecedented power expanded within Kakine, perfectly mastered his power. Kakine laughs at the implications of what would happen now, as he waved his completely awakened six wings down at Accelerator. As he tries to test his new powers on Accelerator after seeing him as no longer a threat. Immediately after Kakine is splattered onto the asphalt and his right hand torn from the shoulder. Controlling Kakine's Vector's with unknown energy remotely, to which Kakine thought was impossible. He becomes immobile and can no longer do anything but listen to footsteps as Accelerator approaches him, those foot steps acted as the clock counting down the last seconds of his life.
Accelerator doesn't hesitate and begans to beat Kakine into a bloody pulp, turning him into a mess of meat and organs with his bare hands.
Accelerator continues to go on a rampage with his black wings, forcing Anti-Skill to respond. Luckily, Aiho was able to survive, and tries to stop Accelerator after she comes to. However, she is stopped by Saigou Ryouta, who tells a great distortion is taking place with regards to the AIM Diffusion Fields. She breaks from Ryouta's grasp, only to discover several armored Anti-Skills and armored vehicles. Aiho demands them to put their guns down, and tells that it is their duty to protect Accelerator. Aiho tries to come close to Accelerator, though because she is injured, blood spurts from her mouth, and is restrained by Ryouta. However, their last hope, Last Order, appears, coming out of the crowd at great speed towards Accelerator. As his black wings continued its rampage, Last Order approaches, and says that she has finally found him.

However, Accelerator tries to attack, and though everyone flinches believing that Last Order has fallen to her demise, the black wings stop before Last Order. But Last Order is undeterred as it shows that Accelerator is still has control. An Anti-Skill opens fire without permission while Accelerator is distracted, responding to this his black wings try to attack, only for Last Order to plead him to stop, and he does. Last Order holds out her arms and says that all is all right now and there is no need to do what he is doing.
As if to blow apart those words, the black wings try to attack her again but once again stops before her, his conflicted heart consuming his action. He continues to scream in turmoil, and finally he roars and the sounds of the black wings wave once more. They try to attack the unperturbed Last Order, all of which miss its mark. And then it swelled up greater than it has ever been and tried to strike down Last Order again. It reached in front of Last Order, Accelerator's movements have stopped. With his head lowered, the black wings disappear and Accelerator falls, all of his strength leaving his body. Last Order catches Accelerator with arms wide open, and held him with all the strength she could muster. With that Last Order whispers to Accelerator's ear of her relief. Finally the lost child is found.
After Accelerator's triumphant battle against Kakine, the liaison calls him to remind him of the gravity of his actions in the battle. He tells him that he was the one who gave him the information regarding Kakine in the first place and as such won't be too hard on him. Accelerator asks him what his penalty is, though the liaison wonders as both increasing his debt and killing him just is inappropriate, his tone irritating Accelerator. Then the liaison asks an unexpected question, asking him if he has not given up on coming back to the "warmth" after falling that far and declaring that he will stand at the very top of the darkness. Accelerator answers that he still hasn't and asks him if he is going to stop him. The liaison answers that he will give them right to struggle, though he cannot guarantee him that he has the right to grant him that. Accelerator, satisfied with his answer hangs up on him, swearing that he will outwit the darkness.
At some unknown point in time later in an unknown location, Accelerator, Tsuchimikado Motoharu, Unabara Mitsuki (Etzali), and Musujime Awaki gathered together. Motoharu shows the Tweezers that he had recovered from the confusion after Accelerator's fight with Kakine, shocking him that he was hiding among the onlookers. Motoharu references on how SCHOOL was able to collect a nanodevice known as UNDERLINE and store it inside the Tweezers in order to examine it. Accelerator becomes suspicious on how much Motoharu, and realizes that he may have been taking secret actions of his own. Motoharu shows to them the information inside the UNDERLINE, the core of Aleister's direct communications network. Seeing that it was all a bunch of information they were able to get on their own, and that it was just information the higher-ups are gathering to keep an eye GROUP's actions, they become dismissive of it. However, Motoharu reveals that there is one more, and says the last one the list of information displayed on the Tweezers’ screen is the word DRAGON. After all that fighting, they made at least one little discovery, a key that they could potentially use.