Holidays (Yomim Tovim)

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Jewish Holidays

Fractal Tu B’Shevat

When thou shalt besiege a city a long time, in making war against it to take it, thou shalt not destroy the trees thereof by wielding an axe against them; for thou mayest eat of them, but thou shalt not cut them down; for is the tree of the field man, that it should be besieged of thee? (Deut. 20:19) On Tu B’Shevat we celebrate the New Year of the trees. There is much to be said about the legal, ecological, homiletical, and mystical meaning of this day. And, indeed, much has been written about this minor holiday from these perspectives. In this post, however, I’d like to focus on the mathematical and biological aspects of this holiday that, to my knowledge, had not been discussed until now. When the Torah rhetorically asks, [...]

Chanukah Menorah – the River of Time

In a Kabbalistic meditation on lighting Chanukah Menorah, the Arizal links the menorah lights with a supernal river (see Candle on the River). The Arizal’s principal disciple, Rabbi Chaim Vital, writes: One should meditate on the idea that the initials of the words "…l'hadleek ner Chanukah [to light the Chanukah candle] are the holy name called "Nachal."Shaar HaKavanot, Inyan Chanukah The first letters of the words  “l'hadleek ner Chanukah” are three letters, Lamed (L), Nun (N), and Chet (Ch). Rearranged, these letters spell the word NaChaL, that is, a stream or a small river. As I wrote in my essays, “On the Nature of Time and the Age of the Universe,” and “Joseph—the Master of Time,” a river has been the metaphor for time across many cultures. Does this Kabbalistic meditation hints at a connection between Chanukah lights and [...]

Shabbat Bereshit – Past, Present, and Future

In the last post, Tishrei—Past, Present, and Future, we discussed how all Tishrei holidays – Rosh HaShanah, Yom Kippur, Sukkot, and Simchat Torah – are connected by the same thread of time and, more specifically, the unification of past, present, and future. This cluster of Tishrei holidays is culminated and concluded with Shabbat Bereshit, when we start the new annual cycle of reading the Torah. Not surprisingly, Shabbat Bereshit follows the same pattern of unification of past, present, and future. The Torah starts with the creation of the world. The story of Creation, obviously, relates to the past. The word “bereshit,” means, in the beginning. The root of “bereshit" is “reshit” – beginning. Beginning, however, points into the future – to something that will follow the beginning in the future. The Lubavitcher [...]

Tishrei — Past, Present, and Future

The months of Tishrei is full of holidays, and they all share a common theme—the unification of time—past, present, and future. Picart, Blowing of the Shofars on Rosh Hashanah It all starts with Rosh HaShanah. Traditionally translated as the New Year, it literally means the Head of the Year. The word shanah has the same letters as the word shinui — “change.” As Aristotle famously wrote, time is change. The sages of Kabbalah agree—time, in its essence, is change. Thus, Rosh HaShanah can be translated as the Head of Time, or the Beginning of Time (since a related Hebrew word, reshit means the “beginning”). Indeed, it is all about time. Rosh HaShanah has three main themes—Ziḥronot (remembrances), Shofrot (Sounds of the Shofar), and Malkhiot or  Kabalat Ol Malkhut Shamayim (acceptance of [...]

Sabbatical Year – when the Wavefunctions are Collapsed

The Torah portion, Re’eh, talks about the Sabbatical Year—in Hebrew, Shemitah—the Seventh year. When the Sabbatical year comes, all loans are forgiven, and Jewish servants go free. This is difficult to understand. Why would a lender forgive a loan just because it’s the seventh year in the Shemitah cycle? Why would slaves be set free just because it’s the Sabbatical year? Another question is why do we translate Shemitah as the “Sabbatical year”? Besides the fact that it is the seventh year, and Shabbat is the seventh day, what connects the word “shemitah” with Shabbat? As Rabbi Yehoshua Steinberg writes in Biblical Hebrew Etymology, (see Re’eh: The Slippery Year? – The Wonders of the Holy Tongue), the three-letter root of the word “shemitah” – Shin-Mem-Tet – connote falling, collapsing, slipping, weakening, or disintegration. The two-letter [...]

Tisha B’Av on Shabbat – A Relativistic Perspective

Yesterday was the 9th day of the month of Av or, in Hebrew, Tisha B’Av. Usually, Tisha B’Av is marked by mourning and fasting. Yesterday, however, we ate festive meals, drank wine and were prohibited from fasting or displaying any signs of mourning. Because yesterday was Shabbat. Shabbat pushes off the observances of Tisha B’Av by a day. Indeed, today, Sunday, we fast and mourn the destruction of the First and the Second Holy Temple  – Bet Hamikdash – in Jerusalem, we remember the Holocaust and many other tragedies that befell the Jewish people. Why couldn’t we observe Tisha B’Av on Shabbat? After all, that was the day when on the 9th of Av, both Temples were destroyed! The simple explanation, of course, is that on Shabbat there is no mourning. On Shabbat, [...]

Passover Seder—The Arrow of Time

The Passover Seder is called seder, i.e., "order" not without a reason. It is a highly structured and orchestrated ceremony that follows the ancient script—Passover Haggadah. The Seders is a play in four acts: Kiddush (sanctification), Magid (telling the story of the Exodus), Shulchan Orech (the festive meal), and Nirtzah (Hallel—the prayer for the Messianic redemption). This sequence sets the natural arrow of time past-present-future. The Past. During the Magid part of the Seder, we retell the story of the Exodus of the Jewish people from Egypt—the narrative of our history. Eating of the matzah, drinking four cups of wine and other "simonim" (symbols) of the Seder table—bitter herbs, an egg, a bone, charoset, etc.—are all symbols that have historical significance. This part of the Seder clearly represents the past. The Present. During [...]

By |2019-04-14T16:45:56-04:00March 30th, 2018|Passover (Pesach), Time, Uncategorized|1 Comment

Purim—the Day when We Celebrate Spontaneous Symmetry Breaking

This is what Haman did not understand. Even at the highest level, where there is a complete symmetry between Jacob and Esau, G‑d chooses Jacob—a spiritual example of the spontaneous symmetry breaking: "I loved you, said the Lord, and you said, “How have You loved us?” Was not Esau a brother to Jacob? says the Lord. And I loved Jacob. And I hated Esau…" (Malachi I, 2-3). Haman failed the test on quantum field theory and ended up hanging on a gallows.

Grand Unification

In physics, we seek Grand Unification, also known as the Theory of Everything. The Standard Model describes three out of the four fundamental forces: the strong (nuclear) force, the weak force (beta decay), and the electromagnetic force. The gravitational force, described by the General Theory of Relativity, does not fit into the Standard Model. Developing a quantum theory of gravity, and unifying gravity with the other three forces is the holy grail of theoretical physics. Jewish people are also in need of Grand Unification. There is a schism that runs through the history: it is the schism between Joseph (Yosef) and Judah (Yehuda). Judah represents a “shtetl yid,” a Jew who lives in a ghetto, who sits in a yeshivah, who learns Torah, and who sees the world outside as hostile, as a [...]

Three-and-a-half Hakafot — Topology of Simchat Torah

Why is this night different from all other nights, asks a child on the Seder night. On this Simchat Torah I asked a different question—why is the day different from the night? Indeed, on the night of Simchat Torah, we dance seven hakafot-circuits. However, during the morning service of the next day, we only dance three-and-a-half hakafot. What is the meaning of this number—three and a half? There are a few instances the Torah, Talmud, and Rabbinic instances where this number is mentioned (e.g., during the Gaonic period, c. 590–1000 CE, in some communities in the Land of Israel, the Torah reading cycle was completed in three and a half years; Maimonides rules that only half of the tzitzit string should be dyed blue leaving three and a half strings white), but none of them [...]

Symmetry and Love — Jewish Chromodynamics

Ye are standing this day all of you before the Lord your G‑d: your heads, your tribes, your elders, and your officers, even all the men of Israel, your little ones, your wives, and thy stranger that is in the midst of thy camp, from the hewer of thy wood unto the drawer of thy water; that thou shouldest enter into the covenant of the Lord thy G‑d—and into His oath—which the Lord thy G‑d maketh with thee this day. (Deut. 29:9-11) The above verses at the beginning of the Torah portion Nitzavim that is always read in the week preceding the Jewish New Year, Rosh HaShanah, are usually interpreted in terms of the unity of Jewish people: You are standing this day all of you [read: standing together in perfect unity]. This is not [...]

Shavuot — Three States of Consciousness

Shavuot (a.k.a. the Feast of Weeks, or “Pentecost”) is the only Jewish holiday with no fixed day on the calendar—it is always the fiftieth day from the beginning of the counting of the Omer (which itself starts on the second day of Passover). What is so special about the number 50, and what is its connection to Shavuot? Shavuot is not only the culmination of the counting of the Omer—Sefirat HaOmer—but also the culmination of the process of the maturation of our consciousness. On Shavuot, it is customary to read the Book of Ruth (Megilat Rut). The story begins with Lot and his daughters running away from Sodom and hiding in a mountain cave. Seeing the destruction of Sodom, the daughters of Lot suspected that God, in his fury, destroyed the whole of [...]

Purim: Celebrating Randomness

Ultimately, I suppose Einstein was right—G‑d does not play dice. So when Haman reached that spiritual level through casting the lots, he discovered the true will of G‑d, who chose the Jewish People. Jews are called “ the chosen people” not because we are better or smarter than others but because it was a simple choice of G‑d. Call this choice “capricious,” call it “irrational,” but ultimately, as Niels Bohr quipped, “Quit telling G‑d what to do!” This is the ultimate lesson of the story of Purim.

Hillel, Shammai and Richard Feynman

The Talmud (tr. Shabbat) discusses two opinions about the manner in which we are to light Chanukah menorah. According to Hillel, we light the first light on the first night, two lights on the second night, etc. increasing the number of lights every night. According to Shammai, we are to do the opposite – light eight lights on the first night, seven on the second night, and so on diminishing the number of lights every night (according to how many days of Chanukah are still left). The Talmud concludes, ele v’elie diveri Elokim chaim (this and that are words of the living G‑d, i.e., both opinions are true and reflect the will of G‑d), but the Halachah (the practical law) is according to Hillel. The Arizal explains that whereas the law today is [...]

Miracle of Chanukah—Seeing and not Collapsing

As I wrote in my post, Schrödinger  Menorah:  Burning  And  Not  Burning, the Lubavitcher Rebbe, Rabbi Menachem Mendel Schneerson, explains the miracle of Chanukah as a paradox of the menorah (chanukiah or hanukkiah) burning and not burning, thereby embodying the absolute nature of G‑d, who is not limited by His infinity and combines all possibilities including the infinitude (ko’ach bli gvul) and the finitude (ko’ach hagvul). The notion of the menorah burning and not burning easily lends itself to be cast in terms of the quantum superposition of states of burning and not burning. I couldn’t help myself to call it the Schrödinger Menorah. There a couple of problems, however, with this idea. Firstly, as the Rebbe wrote in 1971 in a letter to the editor of the Journal of the Association of [...]

Schrödinger Menorah: Burning and not Burning

The miracle of Chanukah revolves around a single-day-supply of olive oil burning for eight days during the rededication of the Holy Temple in Jerusalem (Bet HaMikdash), after Maccabees liberated Israel from the occupation by the Greco-Syrian Seleucid empire. Rabbi Menachem Mendel Schneerson There are countless explanations of the miracle of the oil lasting eight days. The Lubavitcher Rebbe, Rabbi Menachem Mendel Schneerson, offers a unique explanation. The Rebbe dismisses any explanation of the miracle that relies on the miraculous nature of the oil itself. The Rebbe maintains that to be kosher for the Menorah, the oil had to be natural olive oil, not some miraculous oil. According to the Rebbe, the miracle was that natural oil was burning and not burning at the same time. The Rebbe draws an analogy with [...]

Unified Field Theory… and Practice

Albert Einstein had a lifelong quest—to develop a unified field theory—the theory that would describe as a single field gravity and electromagnetism (just as Maxwell unified electric and magnetic fields in a single electromagnetic field). Alas, Einstein did not succeed in his quest. Today, the goal is even more ambitious—to unify all four known fundamental forces: gravity, electromagnetism, strong and weak nuclear forces in a single model, the so-called Theory of Everything. If the hypothetical fifth force will be confirmed, it will also need to be included in the Theory of Everything. While theoretical physicists around the world are busy working our various approaches to such Theory of Everything (the leading candidate is the string theory), Jews around the world are practicing this unification during the holiday of Sukkot. During Sukkot, we take [...]

The Fifth Force – Epilog

This post is a continuation and the conclusion of the previous post, THE FIFTH FORCE. Aside from the connection with the last week’s Torah portion, Vayelech, there is also connection with and Aseret Yimei Teshuvah (Ten Days of Repentance) and Yom Kippur. When it comes to physics of fundamental forces, there are two unresolved problems: (i) unification of gravity with the other three fundamental forces (electromagnetic, strong and weak); and (ii) discovery of the fifth force. Both problems are related to repentance (teshuvah), which comes to sharp focus on the Ten Days of Repentance (Aseret Yimei Teshuvah) and Yom Kippur. Firstly, the word “teshuva” doesn’t mean “repentance”, it literally means “return” In Kabbalah tradition, the word TeShuVaH, is read as “ToShuV H” – return of the letter “heh”. It is talking about the [...]

Standing and Moving

According to the Saadia Gaon, these two Torah portions – Nitzavim and Vayelech – are really one portion, which sometimes is split into two.  In the language of Quantum Mechanics (QM), the two portions are entangled, in a manner of speech, and are described by the single "wavefunction."  Needless to say, this is not meant in a literal sense, as QM describes physical objects, whereas these biblical chapters are certainly not.  Nevertheless, taking poetic license, we can loosely say that these portions are entangled, i.e., they are really one.  Nitzavim and Vayelech, however, speak of the opposite themes – “nitzavim” connotes standing( lit., you stand), while “vayelech” connotes walking (lit., …and he walked). As much as it seems paradoxical at first, from the physicist’s point of view, it is not surprising at all.  Typically, [...]

Fractal Patterns in the Torah

In the Torah portion Emor (Leviticus 21:1–24:23), we are instructed to abstain from work every seventh day on Shabbat. Next week’s Torah portion, Behar, continues this theme and instructs us to abstain from agricultural work every seventh Sabbatical year, Shmita. And the Torah doesn’t stop there. It instructs us to count seven Shmitas and then observe a Jubilee, Yovel. Do you notice a pattern? Every seven days, every seven years, every seven Shmitas… Furthermore, the Midrash states the world will exist for seven thousand years with the seventh millennium being a thousand years of the kingdom of Mashiach (Messiah)—yom shekuloy Shabbat—one long Shabbat. A second-century sage, Rabbi Huniah ben HaKanah, interprets this Midrash to mean that the world will last seven Cosmic Shmitas, i.e., 49 thousand years (which, according to a prominent 13th–14th [...]

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