A New Game!

[Ultimatejoe]

10.By what two other names does the "Secret Fire" go by? (losely perhaps, but they are considered synonyms.)

You're still referring to two distinct things then. I've never heard of "The Flame of Arnor" as being an allusion to the sun; but even if that were true then you're drawing a false connection.

A=Flame of Arnor
B=The Sun
C=Flame Imperishable

If A is an allusion to B, and B is a symbol for C, then A is NOT a name for C.