Telepathic energy was a type of energy generated by psionic resonators, like the stone of Gol. (TNG: "Gambit, Part II")

Given that telepathic energy was said to be caused by psionic devices, it is unclear how it relates to psionic energy.
Additionally, it is worth noting that "Gambit" explicitly described it as not supernatural or magical, thus maintaining the naturalist outlook of Star Trek in spite of telepathy currently being considered pseudoscientific.

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