The Elevation of the World

At the dedication of the First Temple, King Solomon lit ten Menorahs, with seven lights each; in an attempt to bring all seventy nations in existence at the time, into G-d's kingdom.

He then prayed that, "all the peoples of the earth shall know, that the L-rd is G-d, there is no other."14
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It is explained in Jewish mysticism, that this level of knowledge of the unity of G-d, expressed as "there is no other," as opposed to the alternative expression found in Torah of "there is no other besides G-d;" requires the study of Torah mysticism to attain.

Thus, King Solomon was praying for gentiles, to reach the level, where they could properly receive, the deepest insights of Torah.
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The world was not however, refined enough; and while King Solomon's opening of the Temple to gentile visitors, had a dramatic influence on the world, the gentile nations were not able to receive the full message of the Torah; and instead, took only pieces of the Torah and formed new religions.

Thus, during the four centuries that King Solomon's Temple stood, the major religions and belief systems of nearly three billion gentiles today--including Hinduism, Buddhism, Taoism, Zoroastrianism, Confucianism, and Hellenistic philosophy--sprung up.15

The other three billion gentiles, have inherited Christianity and Islam; which directly credit Moses and the Jews, with receiving the word of G-d.

Thus most of the six billion people in the world, have now incorporated some Torah into their lives, but not its full message.
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In order to intiate the mystical refinement of the creation, including the souls of all gentiles; the Alter Rebbe directed his followers, to pray at length, and to focus on internal self-refinement.

So that, G-d's glory fills specifically, this entire physical world; and then 'all physical flesh will behold [G-dliness], together'."
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Thus, the personal observance of Mitzvoth by Jews, has succeeded in refining the world to the point, that Gentiles can now receive the entire message of Torah, and all commandments relating to them.