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1. No such thing as a scalar vector though I know what you're trying to say.
2. Just like Electric Flux can be used to manipulate charge and Magnetic Flux can manipulate voltage, Heat Flux can manipulate heat/change in temperature. Ergo, Accelerator can manipulate heat.
3. Uiharu still needs physical contact to activate her ability.
4. Accelerator is still more than capable of taking out Uiharu before she can do any damage, even if she could activate at a distance~
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