The Sages have said:

In the Code of Jewish Law1 it is written that a Torah scroll should be held in one's right arm (and rested on the right shoulder). This applies even if the one holding the Torah is left-handed. There are two verses that allude to this idea:

1) "From His right hand was a fiery Law for them" -- Deuteronomy 33:2. The Torah was given from G‑d's right hand, as it were, and we therefore hold it in our right hand, too.

2) "And His right hand will embrace me" -- Song of Songs 2:6. G‑d embraces us with His right hand, and we, in turn, embrace His holy Torah with our right hand.

— Rabbi Yisroel Cotlar
http://www.chabad.org/library/article_cdo/aid/571210/jewish/In-what-arm-does-one-carry-a-Torah-scroll.htm

The Sages have said:

In the times of the Messiah, the L~rd shall manifest a second time His hand' (Isaiah 11:11). He shall be the Redeemer in person so that 'Israel shall be saved in the L~rd with an everlasting salvation' (Isaiah 45:17). And 'his rest shall be glorious' (Isaiah 11:10). All the world shall say, 'It is fitting that his rest shall be glorious, for while ordinary kings acquire glory for themselves through victorious wars, and do not believe themselves to be esteemed when they are at rest, he, on the contrary, without waging war makes everyone subject to him, and all render him homage.

— Minha- Ghedola
Commentary Minha- Ghedola in the Grand Rabbinic Bible of Amsterdam, 1700-1705— Rabbinic Bible of Bombergi