Kabbalah

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Counting Weeks and Days

Counting Weeks and Days

There is a Biblical Commandment to count the days between the Passover and Shavuot, the "Feast of Weeks" (a.k.a. Pentecost). We start counting on the second day of Passover (the first day of the barley harvest in the land of Israel, when the wave-offering of the omer, i.e., “sheaf,” of ripe barley was made in the Jerusalem Temple) and finish on the eve of Shavuot—the day when two loaves of bread made of wheat were offered at the Temple. There are exactly seven weeks (forty-nine days) between these two holidays; we are commanded to count the weeks and the days. These forty-nine days are called days of Sefirat HaOmer (the days of “counting the Omer”) or, simply, days of Sefirah ("counting"). This commandment is given in the following verses of the Torah: And [...]

By Alexander Poltorak|2024-05-17T18:10:51-04:00April 28th, 2020|Fractals, Kabbalah, Mashiach (Messiah), Omer, Sefirot, Shavuot, Spirituality, Sukkot, Uncategorized, Zohar|2 Comments

Salt: The Covenant of the Opposites

Salt: The Covenant of the Opposites

And every meal-offering of thine shalt thou season with salt; neither shalt thou suffer the salt of the covenant of thy G‑d to be lacking from thy meal-offering; with all thy offerings thou shalt offer salt." (Leviticus 2:13) Torah dictates that all offerings to G‑d must be brought together with salt. Classical commentators ask: What is so special about salt that it is an indispensable ingredient of any sacrifice? Moreover, why is it called the covenant of salt? Nachmanides explains: The Torah also uses this covenant as a model for other covenants, as both the priestly covenant[1] and the Davidic covenant[2] are called “covenant of salt” because they are upheld just as the sacrificial covenant of salt…. I am of the opinion that the significance is that the salt is water, which [...]

By Alexander Poltorak|2020-04-01T23:00:14-04:00March 31st, 2020|Chemistry, II Kings, Kabbalah, Leviticus, Parshah, Pentateuch (Chumash), Science, Sefirot, Uncategorized, Vayikra, Vayikra, Zohar|2 Comments

The Surrounding Light and the Penetrating Light

The Surrounding Light and the Penetrating Light

The Torah portion Vayakhel deals with the construction of the Mishkan, i.e., the “Tabernacle.” In Kabbalah, the Mishkan is viewed as a microcosm that represents a miniature model of the entire universe—both physical and spiritual. The Mishkan was comprised primarily of two categories of objects. The first category included the coverings that made up the roof and the walls surrounding the Mishkan. The second category included kelim—the objects inside the Mishkan. This is not the first time the description of the coverings and kelim appear in the Torah. In the Torah portion Teruma, G‑d gives Moses detailed instructions for the construction of the Mishkan. Interestingly, in Teruma, G‑d first speaks of the kelim and then of the coverings, whereas in Vayakhel, when Moses instructs the Jewish people, he reverses the order and first [...]

By Alexander Poltorak|2020-03-24T11:13:40-04:00March 23rd, 2020|Exodus (Shemot), Kabbalah, Parshah, Pentateuch (Chumash), Physics, Sefirot, Shemot, Uncategorized, Vayakhel, Zohar|2 Comments

Ki Tisa Hints at the Coronavirus

Ki Tisa Hints at the Coronavirus

On the Eve of Shabbat, we received a government mailing containing documents that we were required to fill out and send back to the Census Bureau. The connection between the Census and the plague was not lost on me. The Torah portion we read last Shabbat, Ki Tisa. It begins with the story of the census: When you count the children of Israel according to their numbers, let each one give to the Lord an atonement for his soul when they are counted; then there will be no plague among them when they are counted.” (Exodus 30:12) This verse, linking the census with a plague, was uncanny in view of the COVID-19—Coronavirus pandemic—the modern-day plague, in the midst of which we find ourselves today. Interestingly, the word “count” in the verse above is [...]

By Alexander Poltorak|2020-03-18T18:06:46-04:00March 16th, 2020|Biology, Exodus (Shemot), Ezekiel, Isaiah, Kabbalah, Ki Tisa, Mashiach (Messiah), Parshah, Pentateuch (Chumash), Sefirot, Shemot, Uncategorized|2 Comments

In the Beginning — It’s All About Change

In the Beginning — It’s All About Change

In the beginning G‑d created the heaven and the earth. (Genesis 1:1) The first verse in the Torah is key to understanding the fundamentals of creation. As far as physics is concerned, there are three key words in this verse, which are highlighted in bold: In the beginning G‑d created the heaven and the earth. According to Nachmanides, these three words—“beginning,” “heaven,” and “earth”—represent, respectively, time, space, and matter. It is easy to see that the “beginning” stands for time, because the “beginning” is clearly a temporal concept that sets off the beginning of time; that “heaven” is a metaphor for space, because the stars and the planets are perceived to be in the sky (i.e., heaven) when, in fact, they are moving in space;[1] and that “earth” is emblematic of matter, [...]

By Alexander Poltorak|2020-10-15T23:02:15-04:00March 11th, 2020|Bereishit, Bereshit, Creation, Ezekiel, Genesis, Kabbalah, Parshah, Pentateuch (Chumash), Relativity, Sefirot, Space, Spirituality, Time, Uncategorized|4 Comments

It Is Not Good For Man To Be Alone

It Is Not Good For Man To Be Alone

And the Eternal G‑d said: “It is not good that the man should be alone; I will make him a helpmate opposite him.” (Genesis 2:18) The end of this verse is rather puzzling. Why would the woman designated as a helpmate for Adam be opposite (literally “against”) him? One can perhaps soften things by translating the Hebrew eizer kenegdo as “counterpart.” However, in a literal translation, the question remains. A simple explanation is well known: if a man is worthy, his wife would be his best friend, ally, partner, companion, and helpmate. If the man is not worthy, however, his wife would be his opponent and antagonist. An esoteric interpretation offered by Rabbi Shneur Zalman of Liadi, in his commentary on this verse in “Torah Ohr,”[1] provides a deeper meaning. He writes [...]

By Alexander Poltorak|2020-02-07T13:30:15-05:00February 7th, 2020|Bereishit, Bereshit, Collapse of the wavefunction, Creation, Genesis, G‑d, Isaiah, Kabbalah, Names of G‑d, Parshah, Pentateuch (Chumash), Physics, Sefirot, Space, Symmetry, Time, Uncategorized, Wavefunction, Zechariah|0 Comments

Cosmology and the Tetragrammaton

Cosmology and the Tetragrammaton

As we discussed in the previous post “Singularity and Paradise,” Paradise offers a beautiful metaphor for modern cosmology wherein Eden is the initial singularity preceding the Big Bang, the river flowing from Eden to water the garden[1] is the expanding universe, and the garden itself is our planet Earth. This metaphor fits nicely with an old Kabbalistic allegory of a glassblower who maps the various stages of the glassblowing process with the four letters of the Tetragrammaton—Y‑H‑W‑H, or yud-heh-vav-heh. To create a glass object, the glassblower must first have a seminal idea of what he desires to create—this corresponds to the letter י (yud) of the Tetragrammaton, because yud represents Chokhmah, which itself represents the seminal idea and inspiration. Before the process of creation begins, the glassblower must inhale air into his lungs—this [...]

By Alexander Poltorak|2020-01-18T22:52:31-05:00January 18th, 2020|Bereishit, Bereshit, Cosmology, Genesis, G‑d, Kabbalah, Names of G‑d, Parshah, Pentateuch (Chumash), Sefirot, Sefirot, Uncategorized|2 Comments

Singularity and Paradise

Singularity and Paradise

These are the chronicles of the heaven and of the earth when they were created, in the day that the Eternal G‑d made earth and heaven. (Genesis 2:4) The second chapter of Genesis contains many repetitions, the most famous of which is the second rendering of the story of the creation of Adam and Eve. The classical commentators explain that this chapter adds further details to the original story of creation told in chapter one. Indeed, the Torah itself makes it clear by stating that “these are chronicles of the heaven and the earth…” Thus, the biblical cosmology sketched out in the first chapter of Genesis is retold here in greater detail. *** And a river went out of Eden to water the garden. (Genesis 2:8-10) This verse positions Eden as the wellspring [...]

By Alexander Poltorak|2020-01-29T18:57:59-05:00January 16th, 2020|Bereishit, Bereshit, Cosmology, Creation, Genesis, Kabbalah, Parshah, Pentateuch (Chumash), Relativity, Sefirot, Sefirot, Uncategorized|2 Comments

The Tree of Life and Wave Mechanics

The Tree of Life and Wave Mechanics

As we discussed in the earlier post, The Tree of Knowledge as a Metaphor for Superposition of States and Heisenberg’s Uncertainty Principle, the Heisenberg uncertainty principle is a direct consequence of wave-particle duality. If so, shouldn’t we expect to see some hints at the wave nature of reality in the narrative of the Garden of Eden? And the Tree of Life (Etz HaChaim): what was it doing in Eden? It appears in the narrative only twice—in the very beginning and at the very end of the story of the primordial sin—almost as if to put a frame around the picture. At the start of this narrative, the verse states: And the Lord G‑d planted a garden eastward, in Eden; and there He put the man whom He had formed. And out of the ground [...]

By Alexander Poltorak|2020-10-15T22:46:57-04:00December 30th, 2019|Bereishit, Bereshit, Collapse of the wavefunction, Creation, Genesis, Kabbalah, Parshah, Pentateuch (Chumash), Quantum Theory, Sefirot, Superposition, Tanakh, Uncategorized, Uncertainty Principle, Wavefunction, Zohar|3 Comments

The Primacy of the Prime Numbers

And the messengers returned to Jacob, saying: “We came to thy brother Esau, and moreover he cometh to meet thee, and four hundred men with him.” (Genesis 32:7) On this blog, we primarily focus on structural parallels between Torah and Physics and, more specifically, quantum physics. Today I would like to explore an interesting parallel between this Torah portion and the number theory. In my previous essay on the Torah Portion Vayishlach, “Jacob Meets Esau and his 400 men,” I wrote “Esau and his 400 men together were 401 strong. 401 is a prime number that is the sum of seven consecutive prime numbers (43+47+53+59+61+67+71).” In that essay, I focused on the significance of the number seven. Let us now focus on the significance of the prime number. The structural parallel I see [...]

By Alexander Poltorak|2019-12-15T00:54:15-05:00December 13th, 2019|Bereshit, Genesis, Mathematics, Mathematics, Parshah, Pentateuch (Chumash), Randomness, Sefirot, Uncategorized, Vayishlach|3 Comments

Noah’s Ark — Sailing through the Flood of Time

Noah’s Ark — Sailing through the Flood of Time

Time is a storm in which we are all lost. " (William Carlos Williams, Introduction to "Selected Essays") I always had a hard time relating to the story of the Flood on a literal level. Why would G‑d want to wipe out all people He created in full knowledge that they would sin? Like it was a surprise for G‑d! G‑d, who exists above time, which He created, cannot be surprised—He knows the future. Then why to create humanity, just to destroy it later? And animals. . . what was their fault? They have no freedom of choice. They act on instincts hardwired in their genome as they were created. Why punish them? Lots of questions, few answers. If the Torah says the flood happened, it must have happened. However, the Torah is [...]

By Alexander Poltorak|2020-11-03T18:03:07-05:00November 2nd, 2019|Bereshit, Genesis, Isaiah, Noach, Pentateuch (Chumash), Sefirot, Time, Uncategorized, Zohar|12 Comments

Sukkot — Bringing Time into Space

Sukkot — Bringing Time into Space

Jews have a very strange custom to take four species (Heb. arba’a minim)—a fruit of a citron tree (etrog), a branch of a date palm (lulav), boughs from the myrtle tree (chadassim), and branches of the willow tree (aravot)—and wave them in all six directions (na’anuim) while holding the species together. The precise movements involve bringing the bunch to one’s heart, then moving them to and fro in all six directions, three in each direction, every time returning the bunch to the heart. A strange sight indeed… what could it possibly mean? I’ve written before that Sukkot has to do with bringing holiness into time and space. The seven days of dwelling in the sukkah-booth (a.k.a. tabernacle) is related to the most important cycle of time – 7: there are seven days in a week, seven years in a Sabbatical cycle (shemita), seven [...]

By Alexander Poltorak|2023-10-04T19:50:48-04:00October 18th, 2019|Sefirot, Space, Sukkot, Sukkot, Time, Uncategorized|3 Comments

The Land We Married

The Land We Married

And the Lord spoke unto Moses, saying: 'Command the children of Israel, and say unto them: When ye come into the land of Canaan, this shall be the land that shall fall unto you for an inheritance, even the land of Canaan according to the borders thereof.” (Numbers 34:1-2) And ye shall inherit the land by lot according to your families—to the more ye shall give the more inheritance, and to the fewer, thou shalt give the less inheritance; wheresoever the lot falleth to any man, that shall be his; according to the tribes of your fathers shall ye inherit.” (Numbers 33:54) And every daughter, that possesseth an inheritance in any tribe of the children of Israel, shall be wife unto one of the family of the tribe of her father, that the [...]

By Alexander Poltorak|2019-08-05T15:11:16-04:00August 4th, 2019|Creation, Entanglement, Husband and wife, Massei, Numbers, Pentateuch (Chumash), Quantum Theory, Randomness, Sefirot, Soul, Uncategorized|0 Comments

Daughters of Zelophehad

Daughters of Zelophehad

Then drew near the daughters of Zelophehad …. of the families of Manasseh, the son of Joseph; and these are the names of his daughters: Mahlah, Noah, and Hoglah, and Milcah, and Tirzah. And they stood before Moses and before Eleazar, the priest, and before the princes and all the congregation at the entrance to the Tent of Meeting, saying: “Our father died in the desert, …. and he had no sons. Why should our father's name be done away from among his family, because he had no son? Give unto us a possession among the brethren of our father.” (Numbers 27:1-4) In the Torah portion that was read last Shabbat in the Diaspora, Phineas (Pinchas), we read the story of the five daughters of Zelophehad who brought the claim for inheritance in [...]

By Alexander Poltorak|2022-04-21T14:21:49-04:00July 28th, 2019|Bamitbar, Kabbalah, Mashiach (Messiah), Names of G‑d, Numbers, Parshah, Pentateuch (Chumash), Physics, Pinchas, Quantum Field Theory, Science, Sefirot, Standard Model, Uncategorized|8 Comments

Ẓiẓit, Koraḥ, and Wave-Particle Duality

Ẓiẓit, Koraḥ, and Wave-Particle Duality

The Lord spoke to Moses, saying: Speak to the children of Israel and you shall say to them that they shall make for themselves fringes [ẓiẓit] on the corners of their garments, throughout their generations, and they shall affix a thread of sky blue [wool] on the fringe of each corner. (Num. 15:37,38) They [Koraḥ and his men] assembled against Moses and Aaron, and said to them, “You take too much upon yourselves, for the entire congregation are all holy, and the Lord is in their midst. So why do you raise yourselves above the Lord's assembly” (Num. 16:3) The Torah portion Shelach deals primarily with the fiasco of the spies sent by Moses to scout out the land of Canaan. The portion ends, however, seemingly out of turn, with the commandment to [...]

By Alexander Poltorak|2023-06-18T09:58:51-04:00July 2nd, 2019|Bamitbar, Korach, Numbers, Parshah, Pentateuch (Chumash), Physics, Quantum Theory, Sefirot, Shlach, String Theory, Uncategorized, Uncertainty Principle|3 Comments

Fitting Pieces of the Puzzle Together

Fitting Pieces of the Puzzle Together

Meditations on the Maaseh Merkavah – IV This is the fourth and the final installment in the series of posts related to Ezekiel’s prophesy, Ma’aseh Merkava, “The Making of the Chariot.” For background information, refer to the previous posts, “Space – Between Future and Past,” “Relational Space,” and “Collapse of the Wave Function.” Regular readers of my blog may be wondering about my last post “Futurist Interpretation of Quantum Mechanics,” which was about my new interpretation of quantum mechanics. This is not a physics blog, however; the Quantum Torah blog is about Torah and physics (or, more broadly, Torah and science). What did the last post have to do with Torah? Hopefully, it will all now become clear. Last Shavuot I had a very unusual experience. Sitting in shul listening to the reading [...]

By Alexander Poltorak|2019-06-21T13:21:11-04:00June 21st, 2019|Collapse of the wavefunction, Ezekiel, Freedom, G‑d, Holidays (Yomim Tovim), Kabbalah, Names of G‑d, Physics, Quantum Theory, Relativity, Science, Sefirot, Shavuot, Spirituality, Superposition, Time, Topology, Uncategorized, Wavefunction|2 Comments

Collapse of the Wave Function

Collapse of the Wave Function

Meditations on the Maaseh Merkavah – III This is the third installment in the series of posts related to the Ezekiel’s prophesy, Maaseh Merkava, “The Making of the Chariot.” For background information, the reader is referred to my previous posts, “Space – Between Future and Past” and “ Relational Space.” As I wrote in the first post, “Space – Between Future and Past,” Sefirot line up against four letters of Tetragrammaton, Y‑H‑W‑H, as follows: Yud י Chokhmah, Abba Heh ה Binah, Imma Waw ו Six Lower Sephirot (Z”A) Heh ה Malchut The first two letters of the proper name of G‑d, Y‑H‑W‑H – Havayah, or Tetragrammaton – are י “Yud” (sometimes transliterated as "Yod") and ה “Heh” (sometimes transliterated as "Hey" or "He"). During the reading of the Ezekiel’s prophesy Maaseh Merkava [...]

By Alexander Poltorak|2019-06-19T03:41:47-04:00June 18th, 2019|Collapse of the wavefunction, Ezekiel, Holidays (Yomim Tovim), Kabbalah, Names of G‑d, Physics, Quantum Theory, Sefirot, Shavuot, Uncategorized, Wavefunction, Zohar|2 Comments

Relational Space

Relational Space

Meditations on the Maaseh Merkavah – II This post is a sequel to my previous post, “Space – Between Future and Past.” For background information, the reader is referred to that post. My second Shavuot “epiphany” was that space is relational. Not that I realized that space was relational for the first time – I always thought so. But, for some reason, thinking about the meaning of the four faces of Chayot, the "living creatures" – the angelic beings described in the prophecy of Ezekiel that we read on Shavuot – made it absolutely clear in my mind. Isaac Newton The debate about the nature of space goes back at least to the times of Newton and Leibniz. Isaac Newton believed (as it is apparent from his mechanics and as it [...]

By Alexander Poltorak|2020-10-20T00:26:20-04:00June 17th, 2019|Ezekiel, Kabbalah, Mathematics, Mathematics, Names of G‑d, Physics, Relativity, Sefirot, Shavuot, Space, Time, Uncategorized|8 Comments

Space – Between Future and Past

Space – Between Future and Past

Meditations on the Maaseh Merkavah – I We do science by studying nature. We study physics in a lab, peering into space or working out mathematical models with pencil and paper to see if they fit experimental data. However, great mystics of the past were able to see how this world operates by gazing into spiritual worlds above. On Shavuot, the holiday when we celebrate the revelation on Mount Sinai, we read the prophecy of Ezekiel (the First Vision of Ezekiel) called Maaseh Merkavah (or Ma'aseh Merkabah)—Work of the Chariot. Masters of Kabbalah have taught us that understanding the Work of the Chariot gives the initiated an understanding of the works of nature. This Shavuot, studying and thinking about Maaseh Merkavah, I came to understand some profound insights about the physics of space [...]

By Alexander Poltorak|2024-06-09T17:14:43-04:00June 13th, 2019|Ezekiel, Fractals, G‑d, Holidays (Yomim Tovim), Kabbalah, Names of G‑d, Physics, Relativity, Science, Sefirot, Sefirot, Shavuot, Space, Spirituality, Tanakh, Time, Topology, Uncategorized|6 Comments

Ten Sephirot and Special Relativity

Ten Sephirot and Special Relativity

The Special Theory of Relativity, published by Albert Einstein in 1905, was a game changer. It ushered the era of new physics dubbed by some as the “Jewish physics.” And Jewish physics it was. At the core of Special Relativity is the notion of the relativity of motion – all motion is not absolute, as Newton thought, but is relative to something else, to a particular point of view. In physics, we define a point of view as a frame of reference. If you are standing in a moving train, leaving the railroad platform, in your frame of reference (which is always at rest) the train is at rest relative to your frame of reference. The railroad platform, on the other hand, is moving with respect to your frame of reference. For someone [...]

By Alexander Poltorak|2019-06-05T17:55:43-04:00June 2nd, 2019|Kabbalah, Mathematics, Mathematics, Physics, Relativity, Sefirot, Sefirot, Space, Spirituality, Symmetry, Uncategorized|4 Comments

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