“Teiku” (תיקו): why Eliyahu and not Moshe Rabbeinu to resolve unanswered Talmudic questions?

Question

Sometimes in the Talmud when there's a difficult question, the Talmud concludes with "תיקו".

Usually "Teiku" is translated to mean "let it stand" but another suggestion is that "תיקו" is actually an acronym for:

"תשבי יתרץ קושיות ובעיות".

"Tishbi [Elijah]- will answer- questions- and inquiries "

(see this MY answer which suggests its earliest source)

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My question is on the acronym:

Why is Eliyahu HaNavi going to be the one who answers our questions?
Wouldn't Moshe Rabbeinu make more sense since he's the one who gave us the Torah?

Answer 1

This is my own speculation:

In order to have a valid Sanhedrin, there need to be Chachomim who are semuchin, and have received semicha from an unbroken chain of semuchin. Since we do not have such an unbroken chain, there is speculation as to how that institution will be reinstated. One approach (found in Radvaz commentary to Rambam Hil. Sanhedrin 4:11) is that Eliyahu HaNavi, who was a Nasi of Sanhedrin and therefore a musmach, will arrive before the Messianic times, and he will re-initiate the institution of semicha.

Semicha is necessary to have a Beis Din HaGadol, and a Beis Din HaGadol has the jurisdiction to resolve any and all outstanding disputes. Therefore, Eliyahu HaNavi will be the catalyst, if not the leading individual, who resolves unresolved disputes.

Answer 2

Rabbi Avigdor Nebenzahl suggests that it will be Eliyahu rather than other prophets who will answer our Torah questions, since Eliyahu was a student of Moshe Rabbeinu's (Sotah 13a).

For the obvious follow-up question of "Why not Moshe himself, then?", he answered that it is possible that Moshe will also answer these questions, but that Eliyahu will arrive first, and begin before Moshe, therefore, we associate it with Eliyahu.

(Source)

Answer 3

Eliyahu is known as the herald of the Messiah. Teiku doesn't mean Eliyahu will personally resolve talmudic deadlicks, rather that they will be resolved in Messianic time.