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Tisha B’Av on Shabbat – A Relativistic Perspective

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, [...]

By Alexander Poltorak|2018-07-24T14:20:03-04:00July 22nd, 2018|Holidays (Yomim Tovim), Kabbalah, Mathematics, Mathematics, Physics, Science, Space, Time, Tisha B'Av, Uncategorized|0 Comments

Passover Seder—The Arrow of Time

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

Breaking Symmetry

Breaking Symmetry

And Moses turned, and went down from the mount, with the two tablets of the testimony in his hand; tablets that were written on both their sides; on the one side and on the other were they written. And the tables were the work of G‑d, and the writing was the writing of G‑d, graven upon the tables… And it came to pass, as soon as he came nigh unto the camp, that he saw the calf and the dancing; and Moses' anger waxed hot, and he cast the tablets out of his hands, and broke them beneath the mount. (Ex. 32:15-19) The Torah portion Ki Tisa (Ex. 30:11-34:35) is, perhaps, has one of the most enigmatic episodes in the Torah—the breaking of the Tablets of the Covenant. The sin of the Golden [...]

By Alexander Poltorak|2018-03-04T18:54:42-05:00March 4th, 2018|Uncategorized|2 Comments

Purim—the Day when We Celebrate Spontaneous Symmetry Breaking

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.

By Alexander Poltorak|2024-03-20T23:07:19-04:00March 2nd, 2018|Holidays (Yomim Tovim), Physics, Purim, Quantum Field Theory, Quantum Theory, Randomness, Symmetry, Uncategorized, Yom Kippur|0 Comments

Grand Unification

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 [...]

By Alexander Poltorak|2018-12-10T23:07:02-05:00December 23rd, 2017|Bereshit, Chanukah, Deuteronomy, Ezekiel, Holidays (Yomim Tovim), Kabbalah, Mashiach (Messiah), Parshah, Pentateuch (Chumash), Physics, Quantum Theory, Resurrection, Science, Uncategorized, Vayigash|0 Comments

Dreams of Pharaoh—A Lesson in Symmetry

Dreams of Pharaoh—A Lesson in Symmetry

In the Torah portion Miketz, Pharaoh has two dreams. He wakes up agitated and calls on all the wise men of Egypt to interpret his dreams. Nobody is able to come up with an acceptable interpretation, so they fetch Joseph from prison and he successfully interprets the dreams of Pharaoh—that there will be seven years of plenty followed by seven years of famine. Joseph proceeds to instruct Pharaoh on how to prepare for the seven years of famine. In the previous posts, "Interpreting Dreams" and "Joseph—the Master of Time," we already explained how Joseph was able to interpret dreams in terms of units of time and why Pharaoh appointed Joseph as the viceroy of Egypt. This story, however, still has mysteries to unlock. Perhaps it can teach us more lessons. In Talmudic and [...]

By Alexander Poltorak|2020-12-20T14:57:57-05:00December 16th, 2017|Bereshit, Dreams, Genesis, Mathematics, Miketz, Parshah, Pentateuch (Chumash), Physics, Quantum Field Theory, Symmetry, Uncategorized|2 Comments

Joseph—the Master of Time

Joseph—the Master of Time

The story of Joseph’s incarceration ends with his successful interpretation of the dreams of the Pharaoh’s chief butler and the chief baker. He ingeniously interpreted ordinary objects (tendrils of grapes and baskets of bread) as symbols of the units of time (Interpreting Dreams). Even greater insight was Joseph’s understanding that the engagement in time, manifested by the chief butler’s personally squeezing the grapes into the cup and placing the cup in Pharaoh’s hand, symbolized life for the chief butler. Conversely, the passivity of the chief baker, who dreamt of baskets of bread sitting on his head, with birds eating from the baskets, symbolized the opposite of life. Girolamo Brusaferro [...]

By Alexander Poltorak|2020-12-17T20:11:21-05:00December 14th, 2017|Bereshit, Dreams, Genesis, Miketz, Parshah, Pentateuch (Chumash), Time, Uncategorized|0 Comments

Abraham Meets Abraham From a Parallel Universe

Abraham Meets Abraham From a Parallel Universe

And he [Abraham] lifted up his eyes and looked, and, lo, three men stood over against him… (Genesis 18:2) On this blog, we often discuss the collapse of the wavefunction as the result of a measurement. This phenomenon is called the “measurement problem.” There are several reasons, for which the collapse of the wavefunction—part and parcel of the Copenhagen interpretation of quantum mechanics—is considered a problem. Firstly, it does not follow from the Schrödinger equation, the main equation of quantum mechanics that describes the evolution of the wavefunction in time, and is added ad hoc. Second, nobody knows how the collapse happens or how long the wave function takes to collapse. This is not even to consider that any notion that the collapse of the wavefunction is caused by human consciousness, as proposed [...]

By Alexander Poltorak|2020-11-09T20:52:37-05:00November 2nd, 2017|Bereshit, Collapse of the wavefunction, Genesis, Kabbalah, parallel universes, Parshah, Pentateuch (Chumash), Quantum Theory, Uncategorized, Vayeira, Wavefunction, Zohar|7 Comments

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

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 [...]

By Alexander Poltorak|2017-10-16T02:32:29-04:00October 15th, 2017|Holidays (Yomim Tovim), Kabbalah, Mashiach (Messiah), Mathematics, Sefirot, Shabbat, Simchat Torah, Sukkot, Sukkot, Time, Topology, Uncategorized|0 Comments

Holiday of G‑d’s Name

According to the tradition passed down to us from the Baal Shem Tov, the day after Yom Kippur is called the Holiday of G‑d's Name. As it is explained in Kabbalah and the Chasidic tradition, each Divine name corresponds to a particular emanation of the G‑dly light and is associated with specific worlds and specific sephirot. For example, the name, Ekiyeh (AHYH) is associated with the sephirah of Ketter. The names Havayah (Y‑H‑W‑H) is associated with the world of Atzilut and sephirah of Tiferet, etc. However, when we refer to the Divine Name without specifying which particular name it is, we refer to the level that is higher than all worlds and all sephirot. On Yom Kippur, we reach our very essence, the level of Yehida shebenefesh—the highest level of the Divine soul. [...]

By Alexander Poltorak|2017-10-01T16:13:12-04:00October 1st, 2017|Uncategorized|0 Comments

Quantum Cheshire Cat and Resurrection

Quantum Cheshire Cat and Resurrection

In memory of my father, Abraham Shamshin ben Reuven, ע"ה For those of us who can't get enough of Schrödinger cat, comes a new feline—Quantum Cheshire Cat—the creation of an Israeli physicist, Yakir Aharonov. In Alice in Wonderland, Alice meets a grinning Cheshire cat. To her amazement, the cat disappears leaving only his grin behind: "All right', said the Cat; and this time it vanished quite slowly, beginning with the end of the tail, and ending with the grin, which remained some time after the rest of it had gone. Well! I've often seen a cat without a grin, but a grin without a cat! It's the most curious thing I ever saw in my life!" According to Martin Gardner, the statement "a grin without a cat" is a reference to mathematics dissociating itself [...]

By Alexander Poltorak|2020-10-20T00:25:04-04:00September 28th, 2017|Mathematics, Quantum Theory, Resurrection, Soul, Spirituality, Uncategorized|2 Comments

Symmetry and Love — Jewish Chromodynamics

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 [...]

By Alexander Poltorak|2020-04-01T23:41:15-04:00September 13th, 2017|Collapse of the wavefunction, Deuteronomy, Devarim, Holidays (Yomim Tovim), Mathematics, Mathematics, Nitzavim, Parshah, Pentateuch (Chumash), Physics, Quantum Theory, Rosh HaShanah, Science, Superposition, Symmetry, Uncategorized|2 Comments

First Fruits and the Wave-Particle Duality of Nature

First Fruits and the Wave-Particle Duality of Nature

…Thou shalt take of the first of all the fruit of the ground, which thou shalt bring in from thy land that the Lord thy G‑d giveth thee; and thou shalt put it in a basket and shalt go unto the place which the Lord thy G‑d shall choose to cause His name to dwell there. And thou shalt come unto the priest that shall be in those days, and say unto him: 'I profess this day unto the Lord thy G‑d, that I am come unto the land which the Lord swore unto our fathers to give us.' And the priest shall take the basket out of thy hand, and set it down before the altar of the Lord thy G‑d. Deuteronomy 26:2-4 The debate about the nature of matter goes back [...]

By Alexander Poltorak|2023-08-31T19:51:45-04:00September 10th, 2017|Atomic Theory, De Broglie–Bohm theory, Deuteronomy, Devarim, Ki Tavo, Parshah, Pentateuch (Chumash), Physics, Quantum Theory, Science, Uncategorized|1 Comment

The Pilot Wave

The Pilot Wave

And on the day that the tabernacle was reared up, the cloud covered the tabernacle, even the tent of the testimony; and at even there was upon the tabernacle as it were the appearance of fire, until morning. So it was always: the cloud covered it, and the appearance of fire by night. And whenever the cloud was taken up from over the Tent, then after that the children of Israel journeyed; and in the place where the cloud abode, there the children of Israel encamped. At the commandment of the Lord the children of Israel journeyed, and at the commandment of the Lord they encamped: as long as the cloud abode upon the tabernacle they remained encamped. And when the cloud tarried upon the tabernacle many days, then the children of Israel [...]

By Alexander Poltorak|2024-06-21T11:38:52-04:00June 11th, 2017|Bamitbar, Behaalotecha, De Broglie–Bohm theory, Numbers, Parshah, Pentateuch (Chumash), Physics, Quantum Theory, Uncategorized, Wavefunction|3 Comments

Shavuot — Three States of Consciousness

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 [...]

By Alexander Poltorak|2024-06-09T16:48:17-04:00May 30th, 2017|Holidays (Yomim Tovim), Mashiach (Messiah), Omer, Physics, Shavuot, Uncategorized|3 Comments

Mishkan – a Metaphor for Quantum Reality, II

Mishkan – a Metaphor for Quantum Reality, II

Continuing the theme of my last post, Mishkan – a Metaphor for Quantum Reality, the analogy between the Tabernacle (“Mishkan”) and quantum reality goes even deeper. The quantum world is best described today by the Quantum Field Theory. According to this theory, there are no particles, only fields. When we interact with a field, it manifests itself as a quantum of the field, which, to some extent, looks and behaves like a particle. For example, when we interact with an electromagnetic field, it manifests itself as a photon – a quantum of the electromagnetic field. An electron, according to the Quantum Field Theory, is not really a particle but a quantum of the electron field, which is a quantum field that is spread across the entire universe. This quantum is an excitation of [...]

By Alexander Poltorak|2019-06-03T09:46:40-04:00May 29th, 2017|Bamidbar, Bamitbar, G‑d, Isaiah, Mashiach (Messiah), Names of G‑d, Numbers, Parshah, Physics, Quantum Theory, Science, Space, Uncategorized|2 Comments

Mishkan – a Metaphor for Quantum Reality

Mishkan – a Metaphor for Quantum Reality

And when the Tabernacle setteth forward, the Levites shall take it down; and when the Tabernacle is to be pitched, the Levites shall set it up… (Num. 1:51) During the wonders of Israelites in the desert, the Tabernacle (Heb. “Mishkan”), existed as a sanctuary only during their encampments. Whenever they traveled, the Mishkan was taken down and disassembled to be carried by Levites during the journey. When G‑d commanded Moses to set the camp, the Mishkan was reassembled and set up again. Let us fast forward some three-and-a-half thousand years to the beginning of the 20 c. It was a time of great intellectual turmoil. The discovery of the atom’s structure by Rutherford, according to which an atom resembled the solar system with a nucleus at the center and electrons orbiting the nucleus, [...]

By Alexander Poltorak|2019-06-03T09:26:48-04:00May 26th, 2017|Atomic Theory, Bamidbar, Bamitbar, Numbers, Parshah, Physics, Quantum Theory, Uncategorized|4 Comments

Sex, Drugs and Rock n’ Roll

Sex, Drugs and Rock n’ Roll

And the Eternal spoke unto Moses, after the death of the two sons of Aaron, when they drew near before the Eternal and died. (Leviticus 16:1) The above verse seems perfectly innocuous and, on the surface, serves as a mere introduction to the laws of Yom Kippur service that follows. Much, however, lies beneath the surface. Some of the deepest secrets of Kabbala are hidden therein. Allow me to present them along the lines of Sex, Drugs and Rock n’ Roll. Sex The story of two eldest sons of Aaron—Nadab (Nadav) and Abihu (Avihu)—dying is told in the Torah portion of Shemini: And Nadab and Abihu, the sons of Aaron, took each of them his censer, and put fire therein, and laid incense thereon, and offered strange fire before the Eternal, which [...]

By Alexander Poltorak|2020-10-15T22:52:28-04:00May 8th, 2017|Acharei Mot, Husband and wife, Kabbalah, Leviticus, Parshah, Pentateuch (Chumash), Shemini, Spirituality, Vayikra|1 Comment

Half-Shekel – Metaphor for Entanglement

Half-Shekel – Metaphor for Entanglement

This they shall give, everyone who goes through the counting: half a shekel according to the holy shekel. Twenty gerahs equal one shekel; half of a shekel shall be an offering to the Lord Ex. 30:13 In this week’s Torah portion, Ki Tisa (Ex. 30), Jewish people are given the commandment of donating a coin as atonement, not just a coin – half a coin. But why half? If G‑d thought, twenty gerahs would be too much, He could have commanded Moses to mint another coin worth ten gerahs. But no, the coin was to remain what it was—worth twenty gerahs—and Jews were to give half a coin. Don’t you find it peculiar? I don’t, because half-coins are the favorite metaphor for explaining quantum entanglement. What is entanglement? When obtaining information about one [...]

By Alexander Poltorak|2019-02-20T15:23:07-05:00March 16th, 2017|Collapse of the wavefunction, Entanglement, Exodus (Shemot), Ki Tisa, Parshah, Pentateuch (Chumash), Physics, Quantum Theory, Shemot, Superposition, Uncategorized|2 Comments

Sacrifices and incenses – fields and entanglement

Sacrifices and incenses – fields and entanglement

At the end of the weekly portion, Tetzaveh, the Torah speaks of the burnt offerings (Heb. qorbanot) and the incense offerings (Heb. qetoret). The Lubavitcher Rebbe, Rabbi Menachem Mendel Schneerson, contrasts these two types of offerings by highlighting their symbolism. The Hebrew word for a burnt offering or sacrifice, qorban, is etymologically related to the word qarov “close,” qiruv “to bring close” and qerovim “relatives,” as they all share the same root QRB “to be close.” Sacrificial offering (qorban) meant to bring a person who brought it close (qarov) to G‑d. The Hebrew word for incense offerings, qetoret, literally means “smoke," "the odor of sacrifice," or "incense.” However, Rabbi David Kimchi ("Radak") points out that the word qeturot means “connected” as it is etymologically related to the Aramaic word qeter “to bind” and [...]

By Alexander Poltorak|2024-02-21T20:59:41-05:00March 15th, 2017|Entanglement, Parshah, Physics, Quantum Theory, Shemot, Tetzaveh, Uncategorized|1 Comment

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