Taharah as the gateway to Torah

בפסוק זאת חקת התורה שהקדים הכתוב זה למצות פרה לרמוז כי כל התורה תלוי בטהרה כדכתיב אמרות ה' אמרות טהורות.

On the verse "This is the chukah (decree) of the Torah" — the Torah placed this expression before the mitzvah of the Parah (the red heifer) to hint that the entire Torah depends on taharah (purity), as it is written, "The words of Hashem are pure words" (Tehillim 12:7).

By calling the parah a "chok of the Torah" rather than just a "chok," the Sefas Emes reads it as a statement about Torah as a whole: one only receives Torah to the degree that one becomes pure, since Hashem's words are themselves "pure."

ובמד' מזוקק שבעתים כו' ז' כיבוסים ז' כהנים ז' פעמים ז' ע"ש.

And in the Midrash: "refined sevenfold" — seven washings, seven kohanim, seven times seven; see there.

The Midrash links the "sevenfold" refining of Hashem's word to the sevens involved in the parah, showing that purification is a layered, repeated process of refinement.

והענין הוא דכמו שיש מ"ט פנים אל התורה.

The matter is as follows: just as there are forty-nine "faces" (panim — facets of understanding) to the Torah,

The Sefas Emes draws a parallel between the forty-nine facets of Torah and the inner structure of a person's soul.

כן יש בנפש האדם מ"ט שערים.

so too there are forty-nine "gates" (shaarim) in the soul of a person.

Every person's nefesh has forty-nine gateways of perception that correspond to the forty-nine facets of Torah.

וכפי מה שמטהרין הלב כל שער ושער.

And according to how one purifies the heart at each and every gate,

Purifying the heart is what opens each of these inner gates, one by one.

כמו כן נפתח לאדם שער בתורה.

so correspondingly a gate in the Torah is opened for the person.

Each gate of the heart that a person cleanses unlocks a matching gate of Torah understanding.

לכן שקולה טהרה ככל התורה וכפי מה שזוכין לטהרה זוכין לתורה.

Therefore taharah is weighed as equal to the whole Torah, and according to how much purity one merits, one merits Torah.

Because purity is the very key to Torah, attaining it is reckoned as equivalent to the entire Torah; the two rise together.

לכן נק' חקת התורה שהוא הדרך והרשימה לקבל דברי תורה.

This is why it is called "the chukah of the Torah" — for it is the path and the imprint by which one receives the words of Torah.

The parah is named the "chok of the Torah" because taharah is the very route and template through which Torah enters a person.

וצריך להיות כל הרצון להתטהר כדי להיות כלי מוכן לקבל דברי תורה לבטל הטהרה אל התורה.

And all of one's ratzon (will) must be to become pure, in order to be a fit vessel to receive the words of Torah — to subordinate the taharah itself to the Torah (bittul — self-nullification).

Purity is not an end in itself; the whole desire to be pure must aim at becoming a ready vessel for Torah, and even one's purity must be nullified toward Torah.

ואז התורה מסייעת להטהרה.

And then the Torah assists the taharah.

Once purity is directed toward Torah, the Torah itself comes to the person's aid and deepens that purity.

ומו"ז ז"ל אמר שזה רמז אפר על המים חיים שיהי' כל הביטול אל התורה שנק' מים חיים כנ"ל:

And my grandfather, of blessed memory, said that this is the hint of "ashes upon living waters" (Bamidbar 19:17) — that all the bittul should be toward the Torah, which is called "living waters," as above.

The Chiddushei HaRim taught that placing the ashes upon "living waters" symbolizes that all self-nullification must flow toward the Torah, which is the true "living waters."

Summary: The "chok of the Torah" teaches that taharah is the gateway to Torah — each inner gate of the heart that a person purifies opens a corresponding gate of Torah, so that purity, when nullified toward Torah and its "living waters," is reckoned as equal to the entire Torah.