Really, really, bad timing, eh. Couldn't have messaged earlier. Anyways, counter arguments. The quotes that upfront stated Accelerator is inferior to himself before his brain damage.
“You really are pathetic! Listen up, ‘cause I’m only gonna tell you this once.” The person spread his arms slowly to either side in the darkness. “I did take some brain damage that day. As you can see by looking at my face, I’ve gotta outsource all my calculations with these electrodes now. If I go out of range of those damn clones’ waves, they can’t help me do the calculations. I don’t even know if I’ve got half my old power left. I wouldn’t last fifteen minutes in real combat with how ******* terrible this thing’s battery life is.” “But—” said Accelerator, pausing. “—just because I’ve gotten weaker doesn’t mean you got any stronger, now, does it?”
OT8
“I can’t do this with math, but I have to solve it somehow, so I’ve brought together every single bit of knowledge I have. I do have the #1 brain in Academy City after all. I’m not particularly proud of it, but I have a lot packed in here. And so I started doing a self- search through every part of my head pulling out every kind of information and just pulling it out and pulling it out and pulling it out.” His words alone continued. Misaka Worst should know what he meant. His calculative and linguistic abilities were being supplemented by the almost ten thousand Sisters. In other words, his original intellectual specs were simply that great.
OT22
However, is this really something worth being shocked over? It was already hinted at a long time ago. Like that brain-crippled Accelerator using an external network to help him calculate, Musujime Awaki using a low frequency therapy apparatus to stabilize her mind...there’s no need to stick to just the human body
NT1
certain situation had led to Accelerator’s brain being severely injured, so he could not use his power of the strongest or even stand on his own two feet or understand human language without receiving calculation support from the Misaka Network via his choker.
“Academy City esper powers are controlled using high level calculation ability. Even if you don’t normally think of it that way, you are still carrying out complex calculations without knowing it. Throwing that out of order can be quite useful. There’s no harm in starting with that, don’t you think?”
NT6
“Even the #1’s reflection is reliant on the calculations you use to control that power. Simply put, you cannot control any vectors with which your conscious and unconscious calculations cannot keep up. Of course, with the brain of Academy City’s #1 and the Misaka Network at your disposal, that would not normally present any kind of problem. ...Yes, unless you began a benchmark test with a true processing device. And even if I have been freed from the bonds of that largescale parallel processing device, I am still doing the Thoth Tarot.”
NT19
While, yes. Other factors can be things that are used to strengthen an Espers' power, but... Calculations and processing power are literally 90% of the driving force of an Esper's ability.
“His mathematical abilities…” For Accelerator, that could be lethal. In order to alter vectors, he needed to calculate the vector before changing it and the vector afterward.
"Calculation ability..." This was critical damage to Accelerator, as he had to first calculate the 'direction before reflection' and 'direction after reflection' before he could use his ability. Even if he could unconsciously use the reflection ability, it was because he unknowingly calculated the simplest formula. He wouldn't be able to use his ability, even the most basic reflection."
“I know all about it! You don’t have your calculation abilities right now. That power you once had is gone! You can’t use it! You’re not the strongest esper anymore, or even close!!” she shouted as though elated by her triumph.
His calculative and linguistic abilities were being supplemented by the almost ten thousand Sisters. In other words, his original intellectual specs were simply that great.
For Accelerator to get stronger, he would have to outright overcome his brain damage and develop calculating ability that is superior to the Misaka Network. Or more simply put, he would need to cure his brain damage. Neither of which has currently come up in-canon, so that's it. His condition hasn't changed, so his power, therefore, hasn't changed.
Moreover, unlike Puzzle, Clonth and PW, Accel's BW / WW are never once mentioned to supplement his calculation abilities, which again are the backbone of his vector manip, so there is no reason to believe that they strengthen it after he unlocked 'em.
Also. Logically speaking... How can weakened processing power equal to better/stronger processing power? Vector manipulation is literally just Accelerator being a math nerd and enforcing his calculation into reality.
Also Copying & Pasting Zensum's old argument for a second regarding "Accelerator and Misaka Mikoto gained such high level powers because they both have strong minds and firm ideologies and principles. You could say their powers manifested in them because they knew they should."
This issue with this quote from the article as an argument is Accelerator and Misaka, through the power curriculum, naturally have the potential for level 5 because of their innate talent and
strong minds, which allow them to grasp and understand that phenomena. See Parameter List where they determine Mikoto has the predisposition for level 5 back when she was only a level 1 and that the potentials of individual were all determined before they started studying and before they even entered the schools. Firm ideologies and principles are more related to personality and built up with personal growth and experiences and obviously aren't known when they are still children. They could more importantly potentially factor into what type of power an Esper develops. For example:
Mugino Shizuri. Academy City’s #4 Level 5. Her power was known as Meltdowner. Electrons always appeared as either a particle or a wave, but her power let her emit them while they were fixed in a pure state that could not distort into either form. That attack known as the Particle-Function Waveform High Speed Cannon held enough destructive power to slice apart an Aegis ship. Had she acquired such a power because her personality had been brutal from the beginning or had she gained a brutal personality from acquiring such a power? There may have been no one who could answer to that chicken-and-the-egg question, but there was no mistaking the fact that Mugino Shizuri currently had a personality that befitted the #4 Level 5.
All of this is important, but since we are discussing Accelerator this article is assuming a non-damaged brain. Your quote is also about them reaching level 5 in general which Accelerator was before his injury.
When did his base power get stronger is the issue? I understand his angel wings have to do with his ideology, self-realization and emotions and all that. I understand he unlocked his wings at critical points in his development. Angel synchronization and anger = Black, Pillar of support, magic parchments and self-realization = White... But what does that have to do with his base vector control? Where is there any indication in the novel his base actually got stronger and he at least got over his ability being described as
less than half of its original? Also this quote doesn't address the fact his brain is shot so all of his actual ability usage is outsourced and how would that factor to whatever growth he undergoes. It's a leap in logic to say unlocking angel wings, that are essentially an amp that do vector-related calculations on their own for him, also increase his actual brain's ability in base without any evidence...
There is also this.
A white breath entered the biting night air.
Simply put, she had been stewing. She was afraid that boy would leave her behind and she wanted to pursue him if she could. But how could she? She was one of Academy City’s seven Level 5s. She was the #3 Railgun. That undoubtedly made her a rare person, but that also meant that she had nowhere else to go and that she could not turn back.
That immense and stable power was the worst possible restraint.
She had nothing that especially stuck out.
(So what am I supposed to do now?)
Even if she mastered Academy City’s Curriculum, she doubted the #3 Railgun could defeat the #1 Accelerator. That had been proven by cold calculations, so there was no doubting it.
Even with their great power and growth, Level 5s, once they hit their cap, is unable to grow beyond that without some outside factor, i.e, AAA for Misaka, DM body for Kakine and Puzzle for Accel.
Again, Accel's only way to overcome his issue of losing more then half of his power is either strengthening his damaged brain to do something that it literally can't do without help (he can't), curing his brain damage (he can't) or getting something else to do calculations for him (which he did in-canon via Puzzle and Clonth tree)... and all of this is just to do math better, mind you.
Also. Again. Reflection is hax. It literally redirect things away from Accelerator. No more, no less. It shouldn't be mentioned in the durability section as it doesn't offer a non-hax physical protection like what is offered from traditional forcefields or shields or doesn't increase his physical survivability like regen or immortality.
That's the long and short of it.
Welp, this thread is going to go on for awhile then expected.
Best to scrap my other toaru plans and focus on this thread and make that misaka thread to overcome this issue entirely.