Holidays (Yomim Tovim)

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Jewish Holidays

Joseph and His Brothers

I grew up in Russia and was raised on the metric system based on decimal arithmetic. When we immigrated to the U.S., I had to learn a new for me (but, actually, very old) Imperial system of measurements. I still struggle with it (decimal system, apparently, was hardwired in my brain). There are many number-systems or positional notation systems. Ancient Babylonians used the base-60 system; the Hindu-Arabic system uses the familiar decimal base-10 system; the Mayans used the base-20 system. There are base-2 binary, base-12 duodecimal, and base-16 hexadecimal systems, to name a few. Aside from the binary system used by computers, we humans mostly use decimal and, sometimes, duodecimal systems. The all-familiar decimal system is used in the metric system of measurements. In base-10 positional notation, there are 10 decimal digits—0, 1, [...]

Forty Two Journeys to the Answer to the Ultimate Question of Life, the Universe, and Everything

These are the journeys of the children of Israel… (Numbers 33:1) When G-d brought the Jews out from Egypt, He brought them out with the mystery of the 42-letter name, just as He created heaven and earth… (Zohar Chadash) The forty-two “stations” from Egypt to the Promised Land are replayed in the life of every individual Jew, as his soul journeys from its descent to earth at birth to its return to its Source. (Rabbi Israel Baal Shem Tov)   Torah portion Massei (Num. 33-35) recalls forty-two journeys of the Children of Israel in the Sinai desert after the Exodus from Egypt. This is not the first time the concept of forty-two journeys appears in the Torah.  Commenting on the Biblical verse, "And G‑d said, 'Behold, I Will Cause to Rain Bread from Heaven for You,’” (Ex. 25:5) [...]

613 Degrees of Freedom

Passover has ended. All Jews hastily return their Passover dishes to storage in special cabinets or the attic until the next Passover. After an eight-day break, home becomes filled with the aroma of freshly baked bread. Passover leaves us with the pleasant taste of burnt matzot, memories of the Seder spent with family, and stories of the Exodus. But did Passover really end? In the Mishnah (the precursor to Talmud), the holiday of Shavuot (Pentecost) is called Atzeret. This word is familiar to us from Shemini Atzeret—the holiday that follows immediately after the seven days of Sukkot, often simply viewed as the last day (or, in the diaspora, the last two days) of Sukkot. Either way, Shemini Atzeret is the conclusion of the festival of Sukkot. By designating Shavuot as Atzeret, the Mishnah seems [...]

Suspected Adulteress as a Schrödinger Cat

In quantum mechanics, the state of a physical system is described by the so-called wave function (or the "wavefunction"). All attempts by Schrödinger, who first introduced the wave function, and others to interpret it as a scalar potential of some physical field, or as the de Broglie wave (as in particle-wave dualism) were not successful. In 1926, Max Born noticed that the squared amplitude of the wavefunction of a particle in a given region gives the probability of finding the particle in this region. He suggested that the wavefunction represented not a physical reality but rather our knowledge of the quantum state of an object. The wave function represents our knowledge of all possible quantum-mechanical states of an object and their probabilities. In other words, the quantum-mechanical state of a physical system is [...]

Four Cups and Three Matzoth

On Seder night we drink four cups of wine and eat three matzoth. Why four cups and not three? Why three matzoth and not four? The same numerical relationship exists among our forefathers. We have the patriarchs – Avraham (Abraham), Yitzchak (Isaac) and Yaakov (Jacob). But we have four matriarchs – Sarah, Rivkah (Rebeca) Rachel, and Leah. This dynamics also manifests itself in the holiest name of G‑d – Tetragrammaton – Y‑H‑W‑H. Why does the four-letter Name have only three unique letters, Yud, Heh, and Vav? According to Sefer Yetzirah – a classic text of Kabbalah attributed to Abraham or to Rabbi Akiva – there are three letters of Hebrew Alef Bet called mothers: Alef, Mem, and Shin, which are considered to be “primary” letters. The three mothers represent the basic logical triad [...]

From Purim to Passover

The Shulchan Aruch – the Code of Jewish Law – states that 30 days before Pesach (Passover) one needs to start learning the laws of Pesach. The simple meaning of this directive is clear – the laws are many and complicated and there is a lot to learn – so one needs to start early. There may be a deeper meaning in this, however. Let us recall that Pesach and Purim are exactly 30 days apart. To start learning about Pesach 30 days before, means to start learning about Pesach on Purim. Or, perhaps, the message is that from Purim we can learn about Pesach. The word Purim means “lot.” The story of Purim is about throwing lots. Evil Haman threw one lot to choose a month for the pogrom against Jews of [...]

Pesach – Time of our Freedom

The holiday of Passover – Pesach – is called zman cheruteinu– time of our freedom. As we have discussed many times on this blog (see Interpreting Dreams; It’s the time, stupid! Carpe Diem; Mezuzah and Time; Riddle — the answer; Splitting the Sea), freedom can only be obtained by mastering time. Everything about celebrating Passover is related to time. It all starts on the Rosh Chodesh Nissan (the New Moon, the beginning of the month of Nissan – marked by the renewal of the monthly lunar cycle – during which we celebrate Passover).  On that day, the very first commandment was given to the Jewish people – the commandment to set the calendar by the lunar cycle, i.e., the commandment of keeping time. Classical commentators ask: Why the Torah (which means “Instruction”) does not have as [...]

Second Adar – The Month of Quantum Physics

Today is Rosh Chodesh Adar Bet – the New Moon and the beginning of the second month of Adar.  If we ever to have a month commemorating quantum physics, there would be no more appropriate month for that than the second month of Adar – Adar Bet.  A state of superposition is a physical state unique to quantum theory.  In classical physics (such as Newtonian mechanics or thermodynamics) a physical system is either in one state or the other, say in a state A or a state B. Only in quantum physics a system can be in a blended state C which is a linear superposition of states A and B. For example, the spin of an electron can be either Up or Down.  However, an electron can be in a blurred state of [...]

Carpe Diem

As we have discussed in the post, It’s the time, stupid, Pharaoh never got the message that it’s all about mastery of time.  To make sure Jews did get this message, G‑d gave them the very first commandment—the commandment of keeping time, of marking new months:           This month shall be unto you the beginning of months; it shall be the first month of the year to you.(Ex. 12: 2) It is important to note that Jews were not only commanded to keep time, they were commanded to “make” time.  Indeed, in Biblical times, the new month was not calculated according to a calendar, as it is done today, it was proclaimed by a Bet Din (an ecclesiastic court) based on the testimony of two live witnesses, who observed [...]

The Entangled Twins

Entanglement is often called the most baffling and the most quintessential aspect of quantum mechanics. What is entanglement, in a nutshell? Two particles born out of one reaction (or two particles that interacted through a collision) remain connected, no matter how distant from each other. A change in the status of one particle instantaneously causes a change in the status of the other particle. Einstein called it "spooky action at a distance." Entanglement is often associated with a certain symmetry and corresponding conservation laws. For example, the law of conservation of angular momentum requires that the spin (the quantum-mechanical analog of the angular momentum) of two entangled particles always point in the opposite directions. This means that, if two entangled particles have their spin in a state of superposition of Up (↑) and Down (↓), and we collapse [...]

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