ESV Hebrews 9:26 for then he would have had to suffer repeatedly since the foundation of the world. But as it is, he has appeared once for all at the end (συντέλεια) of the ages (τῶν αἰώνων) to put away sin by the sacrifice of himself.
ΠΡΟΣ ΕΒΡΑΙΟΥΣ 9:26 Greek NT: Westcott and Hort / [NA27 and UBS4 variants]
ἐπεὶ ἔδει αὐτὸν πολλάκις παθεῖν ἀπὸ καταβολῆς κόσμου· νυνὶ δὲ ἅπαξ ἐπὶ συντελείᾳ τῶν αἰώνων εἰς ἀθέτησιν τῆς ἁμαρτίας διὰ τῆς θυσίας αὐτοῦ πεφανέρωται.
The phrase appears 6 times in the NT and in every instance except Hebrews 9:26 it seems to have the sense of "completion" of a single age:
I understand that Jesus appeared in the final days of the age of temple-centric Judaism but I'm not aware of another age who's beginning was before his arrival and which was also to be ended by him. Is it possible that this is an allusion to Daniel 9:27?:
LEB Daniel 9:
26 “And after the sixty and two weeks an anointed one [Messiah] shall be cut off [IE: crucified], and ⌊he shall have nothing⌋, and the people of the coming leader [Romans] will destroy the city and the sanctuary, and its end will be with the flood and on to the end there shall be war; these desolations are determined. 27 And he [Messiah] will make a strong covenant with the many for one week, but in half of the week he will let cease sacrifice and offering ⌊and in its place⌋ a desolating abomination comes even until ⌊the determined complete destruction⌋ is poured out on the desolator.” [70AD]
So is Daniel predicting that Jesus would ratify the new covenant with the houses of Israel and Judah for a brief time and then both the old covenant and the new covenant would be destroyed?
Or might the idea be that the "culmination of the ages" occurs where the previous age is brought to a close and the new covenant is established with the Jews, the old covenant ends and the "Church age" is begun for the gentiles?
Another option is a reference is to Hebrews 1:
ESV Hebrews 1:
1Long ago, at many times and in many ways, God spoke to our fathers by the prophets, 2but in these last days he has spoken to us by his Son, whom he appointed the heir of all things, through whom also he created the world ["delineated" or "established" the ages (τῶν αἰώνων)].