Holidays (Yomim Tovim)

Jewish Holidays

When was the World Created?

When was the World Created?

There is a dispute in the Talmud as to when the world was created. According to Rabbi Eliezer, the world was created in the month of Tishrei, the seventh month of the Jewish calendar when we celebrate the Jewish New Year, Rosh HaShanah. According to Rabbi Yehoshua, the world was created in the first month of the year, the month of Nisan (Talmud, tr. Rosh HaShanah, 10b). The Hassidic thought attempts to reconcile these opposite opinions, suggesting that both opinions are correct—the world was created in Nisan in thought, whereas in deed, it was created in Tishrei. The problem with this approach is that for halakhic (Jewish ritual law) purposes of calculating the Jewish calendar, the planets are deemed to have commenced their heavenly orbits in Nisan, not in Tishrei. How could planets that [...]

By webadmin|2024-04-09T15:56:17-04:00January 25th, 2016|Age of the Universe, Collapse of the wavefunction, Cosmology, Creation, Rosh Chodesh, Superposition, Uncategorized, Wavefunction|6 Comments

Relativity of Manna

Relativity of Manna

This is the thing which the Lord hath commanded: Gather ye of it every man according to his eating; an omer a head, according to the number of your persons, shall ye take it, every man for them that are in his tent.' And the children of Israel did so, and gathered some more, some less. And when they did mete it with an omer, he that gathered much had nothing over, and he that gathered little had no lack; they gathered every man according to his eating. (Exodus 16-18) In the desert, Jewish people were given manna—one omer[1] (Biblical measure) per member of the household. Rashi explains: Some gathered [too] much [manna] and some gathered [too] little, but when they came home, they measured with an omer, each one what he had [...]

By Alexander Poltorak|2021-01-26T21:52:05-05:00January 24th, 2016|Beshalach, Exodus (Shemot), Holidays (Yomim Tovim), Parshah, Shemot, Uncategorized|1 Comment

Pesach Sheni – in a State of Superposition

Pesach Sheni – in a State of Superposition

There were men who were ritually unclean [because of contact with] a dead person, and therefore could not make the Passover sacrifice on that day. So they approached Moses and Aaron on that day. Those men said to him, "We are ritually unclean [because of contact] with a dead person; [but] why should we be excluded so as not to bring the offering of the Lord in its appointed time, with all the children of Israel? Moses said to them, "Wait, and I will hear what the Lord instructs concerning you." The Lord spoke to Moses saying: “Speak to the children of Israel saying, Any person who becomes unclean from [contact with] the dead, or is on a distant journey, whether among you or in future generations, he shall make a Passover sacrifice [...]

By webadmin|2024-05-21T20:51:07-04:00January 10th, 2016|Behaalotecha, Holidays (Yomim Tovim), Passover (Pesach), Superposition|0 Comments

Yom Kippur – Disentangling the Entangled

When G‑d created the first humans, Adam and Eve (Chavah), He created them as one. And G‑d created man in His own image, in the image of G‑d created He him; male and female created He them. (Gen. 1:27) Actually, as Midrash Rabbah (Gen. VIII:1) explains, Adam and Eve were created as one being as Siamese twins—attached by their side. When the story of the creation of Adam is repeated in the next chapter, it seems as a very different story: And the Lord G‑d caused a deep sleep to fall upon the man, and he slept; and He took one of his ribs, and closed up the place with flesh instead thereof. And the rib, which the Lord G‑d had taken from the man, made He a woman, and brought her unto the [...]

By Alexander Poltorak|2017-09-24T22:38:12-04:00September 24th, 2015|Creation, Entanglement, Holidays (Yomim Tovim), Mashiach (Messiah), Randomness, Superposition, Uncategorized, Yom Kippur|0 Comments

Joseph and His Brothers

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, [...]

By Alexander Poltorak|2020-12-10T20:20:44-05:00December 14th, 2014|Bereshit, Chanukah, Genesis, Holidays (Yomim Tovim), Husband and wife, Kabbalah, Mashiach (Messiah), Mathematics, Mathematics, Names of G‑d, Parshah, Pentateuch (Chumash), Science, Sefirot, Uncategorized, Vayeshev|1 Comment

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

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) [...]

By Alexander Poltorak|2019-07-30T21:26:13-04:00July 27th, 2014|Creation, G‑d, Massei, Mathematics, Names of G‑d, Numbers, Omer, Pentateuch (Chumash), Uncategorized, Yom Kippur|4 Comments

613 Degrees of Freedom

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 [...]

By Alexander Poltorak|2024-06-09T16:13:49-04:00June 6th, 2014|Freedom, Passover (Pesach), Shavuot, Space, Spirituality, Time, Uncategorized|1 Comment

Suspected Adulteress as a Schrödinger Cat

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 [...]

By Alexander Poltorak|2020-05-24T16:41:26-04:00May 30th, 2014|Bamitbar, Collapse of the wavefunction, Entanglement, Husband and wife, Naso, Numbers, Parshah, Pentateuch (Chumash), Quantum Theory, Shavuot, Superposition, Uncategorized, Wavefunction|2 Comments

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 [...]

By Alexander Poltorak|2017-04-09T23:10:01-04:00April 20th, 2014|Freedom, Holidays (Yomim Tovim), Names of G‑d, Passover (Pesach), Science, Time, Uncategorized|1 Comment

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 [...]

By Alexander Poltorak|2017-04-10T15:36:48-04:00April 19th, 2014|Freedom, Passover (Pesach), Purim, Randomness, Uncategorized, Yom Kippur|0 Comments

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 [...]

By Alexander Poltorak|2017-04-10T16:28:20-04:00April 18th, 2014|Freedom, G‑d, Holidays (Yomim Tovim), Names of G‑d, Passover (Pesach), Rosh Chodesh, Time, Uncategorized|0 Comments

Second Adar – The Month of Quantum Physics

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 [...]

By Alexander Poltorak|2019-03-07T13:39:00-05:00March 3rd, 2014|Atomic Theory, Collapse of the wavefunction, Entanglement, G‑d, Names of G‑d, Purim, Quantum Theory, Randomness, Rosh Chodesh, Superposition, Time, Uncategorized, Uncertainty Principle|1 Comment

Carpe Diem

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 [...]

By Alexander Poltorak|2018-01-19T06:54:12-05:00January 2nd, 2014|Bo, Collapse of the wavefunction, Exodus (Shemot), Holidays (Yomim Tovim), Omer, Parshah, Passover (Pesach), Pentateuch (Chumash), Quantum Theory, Rosh HaShanah, Shabbat, Shavuot, Shemot, Spirituality, Superposition, Time, Uncategorized, Wavefunction, Witnesses|0 Comments

The Entangled Twins

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 [...]

By Alexander Poltorak|2018-11-07T21:37:36-05:00November 3rd, 2013|Bereshit, Entanglement, Genesis, Parshah, Pentateuch (Chumash), Physics, Purim, Quantum Theory, Symmetry, Toledot, Uncategorized|3 Comments

Saved by Randomness

Saved by Randomness

Some people may be fooled by randomness but, when we realize that randomness opens the door to the Divine, we are saved by randomness. It is for this reason that two days a year—on Purim and on Yom HaKippurim (which is a Day like Purim)—we read about two lots and we celebrate randomness.

By Alexander Poltorak|2024-03-20T20:32:22-04:00September 16th, 2013|G‑d, Holidays (Yomim Tovim), Purim, Quantum Theory, Randomness, Uncategorized, Yom Kippur, Zohar|0 Comments

Cosmological Rosh HaShanah

This Rosh HaShanah I had the strangest dream. I dreamed that I was giving a lecture in cosmology at a university when I suddenly realized that it was Rosh HaShanah. I panicked… What was I doing at the university on such a day instead of being in my synagogue, praying and listening to sounds of a shofar?! I decided to save the day by trying to weave the three main themes of Rosh HaShanah into my lecture on cosmology. And so I began… NASA/WMAP Science Team - Original version: NASA; modified by Cherkash In the Rosh HaShanah liturgy, we refer to this day as yom harat olam – the birthday of the world (Machzor Rosh HaShanah). According to modern cosmology, the world was born in an unfathomable explosion called the Big [...]

By Alexander Poltorak|2019-10-03T22:58:56-04:00September 9th, 2013|Cosmology, Holidays (Yomim Tovim), Kabbalah, Rosh HaShanah, Space, Uncategorized|2 Comments

Paradox of the Red Heifer

Paradox of the Red Heifer

Speak to the children of Israel and have them take for you a perfectly red unblemished cow, upon which no yoke was laid… The cow shall then be burned in his presence… The one who burns it shall wash his clothes in water and cleanse his body in water, and he shall be unclean until evening… Anyone touching the corpse of a human soul shall become unclean for seven days. On the third and seventh days, he shall cleanse himself with it, so that he can become clean. But if he does not sprinkle himself with it on the third and seventh days, he shall not become clean… They shall take for that unclean person from the ashes of the burnt purification offering, and it shall be placed in a vessel [filled] with [...]

By Alexander Poltorak|2023-06-29T21:43:11-04:00June 24th, 2013|Chukat, Entanglement, Holidays (Yomim Tovim), Numbers, Parshah, Passover (Pesach), Pentateuch (Chumash), Space, Spirituality, Time, Uncategorized, Wavefunction|1 Comment

Freedom in Space, Time and Spirituality

And the entire Mount Sinai smoked because the Lord had descended upon it in fire, and its smoke ascended like the smoke of the kiln… Exodus 19:18 The Holiday of Shavuot is thought to be a culmination of the Passover. Just as Shmini Atzeret is a culmination of the Holiday of Sukkot and comes after seven days of Sukkot, Shavuot is also called Atzeret and comes after the Holiday of Pesach, albeit separated from it by forty-nine days of Omer. On Shavuot, we read a Torah portion from Chapter 19 of the Book of Shemot (Exodus). We already discussed verse 18, "Mount Sinai smoked," in the previous post. Mount Sinai smoked because the Lord had descended upon it. Here, I'd like to focus on the word "smoked" from a different perspective. It hints at [...]

By Alexander Poltorak|2024-06-09T10:47:09-04:00May 18th, 2013|Freedom, Holidays (Yomim Tovim), Omer, Passover (Pesach), Shavuot, Time, Uncategorized|0 Comments

Passover, Shabbat and the Principle of Least Action

Passover, Shabbat and the Principle of Least Action

There is hardly a Jewish holiday more widely celebrated than Passover (Pesach). Jews of all denominations, affiliations, and levels of religious observance, if any at all, gather at the Passover Seder to tell the story of the Exodus from Egypt. What is often lost amid all of the beautiful rituals, not least among them the singing of Had Gadia and other Seder songs, is the deep meaning of this holiday, which is far more profound than a mere recollection of historical events, no matter how important they may be. What is, then, the deeper meaning of the Passover that transcends its historical significance? On the morrow of Shabbat One obscure and little-known (outside of the observant Jewish community) commandment ("mitzvah") may lead us to a deeper understanding of the meaning of the Passover—this [...]

By Alexander Poltorak|2021-03-14T20:50:19-04:00March 31st, 2013|Creation, Holidays (Yomim Tovim), Omer, Passover (Pesach), Physics, Science, Shabbat, Shavuot, Uncategorized|3 Comments

Tale of Entangled Goats

Tale of Entangled Goats

And he shall take the two he goats, and place them before the Lord at the entrance to the Tent of Meeting. And Aaron shall place lots upon the two he goats: one lot "For the Lord," and the other lot, "For Azazel." (Leviticus 16:7-8) In the last Torah portion, Metzorah, we learned about two entangled birds. This week, we learn about two entangled goats. I don’t know if these goats studied quantum mechanics, but they can sure teach us a thing or two about quantum entanglement. Entanglement is one of the mysteries of quantum mechanics. On a macro level, entanglement is easy to understand. Imagine a coin sawn into two halves along the plane parallel to the face of the coin. One half has only heads and the other half has only [...]

By Alexander Poltorak|2019-05-04T18:27:10-04:00May 4th, 2012|Acharei Mot, Collapse of the wavefunction, Entanglement, Leviticus, Pentateuch (Chumash), Quantum Theory, Yom Kippur|1 Comment