וַיִּתֵּ֣ן לַשְּׁבִ֣י עֻזּ֑וֹ וְֽתִפְאַרְתּ֥וֹ בְיַד־צָֽר׃
און ער האָט געגעבן אין געפֿאַנגענשאַפֿט זײַן שטאַרקײט, און זײַן פּראַכט אין דער האַנט פֿון פֿײַנט.
Rabbeinu Bahya
A kabbalistic approach to our paragraph: The red cow is an allusion to the oral Torah, the attribute of Justice in its most severe form. This attribute is the source of ritual impurity. The reason why this chore was given to Eleazar to perform was in order that he should address the attribute of Justice in its most concentrated form. Such thoughts would not be held against him [seeing the author had stated repeatedly that all offerings are addressed to Hashem, the attribute of Mercy, Ed.] as it was slaughtered outside holy precincts and was not considered as a sacrificial offering. This is also the reason this legislation was prefaced with the words זאת חקת התורה, as if to say: “this new kind of legislation that the Torah has seen fit to reveal here as something to be performed outside the precincts of the Temple is not meant to convey the impression that it is addressed to someone other than G’d, G’d forbid.” It is anchored, i.e. embedded, נחקקת in the Torah itself. However, its origin is the oral Torah, which is the sixth of the emanations (counting from מלכות upward). Even though a full comprehension of the mystical dimension of this statute is way beyond our ability to understand, it is important to understand that the concept of ritual impurity is allowed to spread no further (upward) than the sixth emanation, that of גבורה. This is the emanation, attribute, which characterized Yitzchak who lay on the altar bound by the attribute of Mercy on the outside. If the attribute of Mercy would not have been present and active and the attribute of Justice would be allowed full reign the world would face destruction immediately. This is why the Master of Mercy provided us through this procedure with a method of turning the attribute of Justice at its fiercest into a milder form of itself. This is the meaning of the words: “they shall take to you a cow, one that is red, an unblemished specimen, an animal which has not been tainted by having been subservient to any (other) master such as the emanations (attributes) on the lower rungs of that diagram.” We know that even the next lower emanation was not saved from having a “master” impose a yoke upon it as that emanation, תפארת, harmony, has been associated with the Holy Temple which has been destroyed and therefore has been "mastered” by impure forces on earth. (Compare Isaiah 64,10 בית קדשנו ותפארתנו, and Psalms 78,61: ויתן לשבי עזו ותפארתו ביד צר, “He delivered into captivity His power and glory into the hand of the oppressor.”) The cherubs (on the cover of the Holy Ark) were exiled together with the other furnishings of the Temple and we do not find that they had been hidden, as had the Holy Ark itself as well as the Menorah, the lampstand. The emanations which are “higher” than that of תפארת, are described as בתי גנזי, “the houses of My hidden (treasure)” in Beytzah 16. I have already discussed this in connection with Genesis 6,6 (see our translation there).
The reason that this red cow was slaughtered outside the holy precincts of the Temple was in order for it to be able to chase away, to diffuse the spirit of impurity. This is why the remains of the cow (ash) together with water from an original source, מים חיים, would effect purification by means of the vessel within which it was contained (verse 17). Purity is derived from an influence exerted by the attribute of Mercy, an emanation higher than that of גבורה, i.e. the attribute (emanation) of Justice, the emanation responsible for every kind of impurity.
The reason that this red cow was slaughtered outside the holy precincts of the Temple was in order for it to be able to chase away, to diffuse the spirit of impurity. This is why the remains of the cow (ash) together with water from an original source, מים חיים, would effect purification by means of the vessel within which it was contained (verse 17). Purity is derived from an influence exerted by the attribute of Mercy, an emanation higher than that of גבורה, i.e. the attribute (emanation) of Justice, the emanation responsible for every kind of impurity.
Rashi
Search for the Lord and His might The Sanctuary and Ark are called “His might,” as it is written (Ps. 78:61): “And He delivered His might into captivity,” i.e., He delivered His Ark to bring it into captivity, and it is written (ibid. 132:8): “Arise, O Lord, to Your resting place, You and the Ark of Your might.” For that reason, Eleazar, its watchman, was called Uzza, because he guarded the Ark, which was called might (עֹז). An example of this is that [Ephron was called by this name] because of the four hundred silver shekels, which is the numerical value of the name Ephron. And so, many others [as in] (Gen. 49:16): “Dan (דָן) will champion (יָדִין) the right of his people”; (ibid. verse 8): “Judah, (יְהוּדָה) you are the one; to you your brothers do homage (יוֹדוּךָ).”
Sforno
ושברתי את גאון עזכם, by the destruction of the Tabernacle in Shiloh. Compare Psalms 78,60 “He forsook the Tabernacle of Shiloh, the tent He had set among men.”