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PrinciplesAccelerator's ability is based on Vector Transformation (ベクトル変換, Bekutoru Henkan?),[Notes 1] known in other names such as Vector Change and Vector Conversion, that allows him to control vectors (magnitude and direction) and influence objects that have vectors such as bullets, heat, and electricity.[2] Accelerator is both passive and active in usage, or can even be a referred to as defensive and offensive.[3][4]It is self-evident that the ability requires a great amount of calculating power from the esper, as it requires for Accelerator to take into account several vectors that he wants to redirect, and when activated, several variables are present when manipulating and controlling vectors. For example, Accelerator is able to delete data from Last Order's mind through the manipulation of vectors of her bio-electricity.[5] Furthermore, Accelerator can do it even if he is unconscious, able to make an invisible "tube" to control blood flow in Yoshikawa Kikyou's artery and not allow a single drop to spill.[6] In fact, the combined brains of 10,000 level 3 Sisters are only able to make up less than half of Accelerator's calculating power, though it seems it is enough for Accelerator to use it even in combat.[7]RedirectionAccelerator about to redirect a Toy Soldier bullet from Misaka 10031.Accelerator uses this passive ability to "Redirection" or "Reflection" (反射, Hansha?, lit. "Reflection") reverse any oncoming vector coming towards the field that protects his entire body, most likely his AIM Dispersion Field, which somehow covers even the clothes he wears and select objects he is holding. The redirection ability can be done subconsciously through some simple calculations as he was shown doing so as a child 5-6 years prior to the start of the story.[8] He just needs to calculate the minimum required forces like gravity, air pressure, light, oxygen, heat, sound wavelength, etc. and redirect everything else. Things such as light, sound, and gravity are calibrated to pass through this field for his convenience, though he can undo this if he chooses to.[9] For defensive use, Accelerator subconsciously establishes a filter that analyzes everything as harmful or not, and uses his reflect to push away anything that could harm him.[10] Examples of these would be high-velocity vectors that are reflected, such as bullets, which Accelerator obviously could not consciously react to, as the speed of a bullet is immensely high. He was also able to re-direct Misaka's Railgun.[11]
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