Let us embellish this idea by referring to the commentary of the Ibn Ezra (Yisro), which coincides with the commentary of the Ramban: “Remember the day of Shabbas to sanctify it.” Hashem sanctified this day by endowing it with a greater capacity for the souls to receive more chochmah than on all the other days. A similar idea appears in the Shitah Mekubetzet (Beitzah 16a): On account of the “neshamah yeteirah,” a person experiences divine influence and greater intelligence with which to study Torah and delve into the ways of Hashem.
In other words, every Jew is privileged to have and extra neshamah on Shabbas, which enables him to achieve greater insights and comprehension of the Torah on Shabbas. We can suggest that this explains why HKB”H opted to give Yisrael the Torah on Shabbas, as we are taught in the Gemara (Shabbas 86b): "ודכולי עלמא בשבת ניתנה תורה לישראל"—everyone agrees that the Torah was given to Yisrael on Shabbas. Hence, HKB”H asks all of the “neshamah yeteirahs” on every motza’ei Shabbas what Torah-related chiddush they proposed on Shabbas. He is checking to see if each person utilized this incredible gift He sent them to enhance their Torah knowledge and acumen.