Physics

A Wheel Within a Wheel

A Wheel Within a Wheel

Now as I beheld the Chayot [living creatures], behold one Ophan [wheel] at the bottom hard by the living creatures, at the four faces thereof. The appearance of the Ophanim [wheels] and their work was like unto the colour of a beryl; and they four had one likeness; and their appearance and their work was as it were a wheel within a wheel. . . . As for their rings, they were high and they were dreadful; and they four had their rings full of eyes round about. Ezekiel 1:15–18 One of the most difficult theological questions is how Eternal G‑d relates to the world created by Him, the world that is always in flux. Indeed, the prophet Malachi says in the name of G‑d: For I the Eternal change not.Malachi 3:6 G‑d does [...]

By Alexander Poltorak|2021-12-31T14:52:11-05:00May 21st, 2021|Creation, Ezekiel, Kabbalah, Physics, Spirituality, Tanakh, Time, Uncategorized|5 Comments

Egyptian Exile as a Metaphor for Compactification in String Theory

Egyptian Exile as a Metaphor for Compactification in String Theory

And they made their lives bitter with hard service, in mortar and in brick…Exodus 1:14 On a literal level, the Egyptian exile (Galut Mitzrayim) is a story of the Jewish people’s enslavement in ancient Egypt, where they were forced to do hard labor making mortar and bricks, and building cities for the Pharaoh. On a deeper level, it is axiomatic in Jewish mysticism that suffering is usually a means to purify and rectify a sinner’s soul in this or past incarnation. It is also axiomatic that any sin damages the sinner’s soul and some supernal spiritual levels that obstruct the flow of the divine benefice into the world, impeding the blessing and, therefore, causing suffering to the sinner. Technically, it works as follows. When a sin committed below causes damage above, the resulting [...]

By Alexander Poltorak|2021-01-11T22:54:15-05:00January 11th, 2021|Exodus (Shemot), Kabbalah, Mathematics, Mathematics, Parshah, Pentateuch (Chumash), Physics, Reincarnation, Sefirot, Shemot, Shemot, Spirituality, String Theory, Topology, Uncategorized|0 Comments

Joseph’s Birth—A View From Quantum Mechanics and Biology

Joseph’s Birth—A View From Quantum Mechanics and Biology

And afterwards she bore a daughter, and called her name Dinah. (Genesis 30:21) In my previous essay, “The Conflict Between Joseph And His Brothers—A Gender Theory,” I suggested that Joseph exhibited some proclivity to feminine behavior in his youth. This impression can be naturally inferred from the verses and supported by traditions in Kabbalah related to Isaac, Joseph, and Benjamin, as we discussed in that essay. To be sure, Joseph outgrew his feminine tendencies (perhaps assisted by the tough love shown to him by his brothers). He matured into a man who was not only a husband, a father, and the de facto ruler of Egypt, but an archetype of masculinity and a paradigm of piety, for which he earned the designation of Joseph, the Righteous (Yosef HaTzadik). Moreover, spiritually, Joseph personified Yesod [...]

By Alexander Poltorak|2020-12-24T20:42:06-05:00December 23rd, 2020|Bereshit, Biology, Collapse of the wavefunction, Entanglement, Genesis, Miketz, Parshah, Pentateuch (Chumash), Physics, Quantum Theory, Science, Superposition, Uncategorized, Vayeshev, Vayigash|0 Comments

On Rachel, Leah, and Dark Energy

On Rachel, Leah, and Dark Energy

Now Laban had two daughters: the name of the elder was Leah, and the name of the younger was Rachel. (Genesis 29:16) Rabbi Isaiah Horowitz (the Shelah HaKadosh)[1] famously says that the Torah speaks to the upper worlds and hints at the lower worlds. That means that the primary subject of the Torah narrative has to do with the dynamics of the spiritual worlds while only hinting at the historical narrative that appears to be the meaning of the biblical text. It is not surprising because what happens down here reflects what happens up there—in the spiritual spheres. However, the historical narrative is not necessarily the only reflection of the higher reality. We may see how the same or similar dynamic is reflected in natural laws. This Torah portion introduces us to two daughters [...]

By Alexander Poltorak|2022-12-16T00:14:50-05:00November 29th, 2020|Bereshit, Genesis, Kabbalah, Parshah, Pentateuch (Chumash), Physics, Relativity, Science, Sefirot, Uncategorized, Vayetze|4 Comments

Jacob and Esau—Thermodynamics of Order and Chaos

Jacob and Esau—Thermodynamics of Order and Chaos

And these are the chronicles of Isaac… (Genesis 25:19) So Esau went unto Ishmael, and took unto the wives that he had Mahalath the daughter of Ishmael Abraham’s son, the sister of Nebaioth, to be his wife. (Genesis 28:9) This Torah portion is called Toledot. In Hebrew, toledot means “generations” or “chronicles.” Indeed, this Torah portion starts with the phrase, “These are the chronicles of Isaac.” This is not the first or the last time this word appears in Tanakh (the Hebrew Scriptures). It appears for the first time in the opening verse of chapter 2 of Genesis: 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 time it appears in [...]

By Alexander Poltorak|2020-11-24T11:50:04-05:00November 23rd, 2020|Bereshit, Creation, Exodus (Shemot), Parshah, Pentateuch (Chumash), Physics, Superposition, Symmetry, Thermodynamics, Time, Toledot, Uncategorized|2 Comments

Keturah and Hagar III—A Metaphor for Unification

Keturah and Hagar III—A Metaphor for Unification

And Abraham took another wife, and her name was Keturah. (Genesis 25:1) Keturah: This is Hagar. She was called Keturah because her deeds were as pleasant as keturah (incense). (Genesis Rabbah 61:5) Keturah is Hagar. (Zohar 133) As we discussed earlier, Abraham had a concubine, Hagar. Later in life, after the passing of Sarah, Abraham took another wife whose name was Keturah. Midrash, the Zohar, Rashi, and other commentators state that Keturah is Hagar. To distill this situation to its essence, we have here two seemingly distinct individuals who, in the view of at least some biblical commentators, are one and the same person. To any physicist, this narrative bespeaks a unification. Indeed, this situation is analogous to the unification tendency in theoretical physics, where different fundamental interactions are unified into one. [...]

By Alexander Poltorak|2020-11-19T23:08:20-05:00November 15th, 2020|Bereshit, Chayei Sarah, Genesis, Kabbalah, Parshah, Pentateuch (Chumash), Physics, Quantum Field Theory, Standard Model, Uncategorized, Zohar|1 Comment

Noah’s Ark—Three Layers of Reality

Noah’s Ark—Three Layers of Reality

A light shalt thou make to the ark…with lower, second, and third stories shalt thou make it. (Genesis 6:16) We mentioned in the previous posts that Noah’s ark was a microcosm.[1] As we discussed in the previous post, “Noah’s Ark—Three Layers of Being Human,” most structural parallels related to Noah’s ark are based on its tripartite structure —that is, its having three tiers. In Chasidic thought, the three levels of Noah’s ark correspond to three worlds of BiYA—Beriyah (the World of Creation), Yetzirah (the World of Formation), and Asiyah (the World of Action). In this essay, we will investigate how the tripartite structure of Noah’s ark is reflected in the structure of reality. We might say that the totality of existence comprises three layers—physical, informational, and spiritual. The classification of reality into three [...]

By Alexander Poltorak|2024-06-23T21:53:15-04:00October 28th, 2020|Age of the Universe, Bereshit, Collapse of the wavefunction, Fractals, Genesis, Kabbalah, Mathematics, Mathematics, Noach, Parshah, Pentateuch (Chumash), Physics, Sefirot, Space, Spirituality, String Theory, Superposition, Time, Uncategorized, Wavefunction|1 Comment

Tzimtzum III—Renormalization—Sweeping Infinites Under the Rug

Tzimtzum III—Renormalization—Sweeping Infinites Under the Rug

Sweeping Infinities Under the Rug—or Renormalization Having dealt with internal contradictions in the previous section (see Physics of Tzimtzum I — The Quantum Leap and Physics of Tzimtzum II — Collapse of the Wave Function), we are left with another problem—infinity. Although G‑d concealed His self-contradictory nature by “sweeping paradoxes under the rug” in the process akin to the collapse of the wave function, the Light of the Infinite (Ohr Ein Sof) filled the whole of existence with infinite Divine emanation. This infinite radiation left no room for any finite creation to emerge. What was G‑d to do? Having aced the exam on quantum field theory with flying colors, G‑d employed the favorite trick of theoretical physicists in sweeping infinities under the rug using what is called “renormalization.”[1] Roughly speaking, renormalization solves the [...]

By Alexander Poltorak|2020-10-14T20:39:04-04:00October 14th, 2020|Bereishit, Bereshit, Creation, Deuteronomy, G‑d, Kabbalah, Mathematics, Parshah, Pentateuch (Chumash), Physics, Quantum Field Theory, Quantum Theory, Relativity, Space, Standard Model, Tzimtzum, Uncategorized, Uncertainty Principle, Zohar|1 Comment

Physics of Tzimtzum II — Collapse of the Wave Function

Physics of Tzimtzum II — Collapse of the Wave Function

In the previous post “Physics of Tzimtzum I—The Quantum Leap”, we gave a general overview of the mystical doctrine of tzimtzum—the cornerstone of Lurianic Kabbalah. It is time to get into the details. The first phrase that describes the process of tzimtzum in Etz Chaim states: Ein Sof “contracted” (tzimtzem) Himself in the point at the center, in the very center of Ohr Ein Sof. This sentence raises several difficult questions: First, what could it possibly mean that the Infinite (Ein Sof) “contracted” (tzimtzem) Himself? In Hebrew, the word tzimtzum comes from the root TZM, which means “to diminish” or “to fast,” that is, to “diminish” oneself.[1] It can also mean “to be precise,” that is, to remove ambiguity.[2] The repetition of the root TZM is a grammatical form of doubling down, an extreme [...]

By Alexander Poltorak|2022-09-29T22:04:50-04:00September 11th, 2020|Bereishit, Bereshit, Collapse of the wavefunction, Creation, Genesis, G‑d, Kabbalah, Names of G‑d, Parshah, Pentateuch (Chumash), Quantum Theory, Relativity, Superposition, Tzimtzum, Uncategorized, Wavefunction, Wavefunction of G‑d|0 Comments

Physics of Tzimtzum I — The Quantum Leap

Physics of Tzimtzum I — The Quantum Leap

Introduction “In the beginning G‑d created the heavens and the earth.” (Genesis 1:1) “In the beginning G‑d created the heavens and the earth,” the Torah says. However, what was before the “beginning”? It is like asking, What was before the Big Bang? In physics, until relatively recently, such questions were discouraged. The prevailing wisdom was that time and space had been created by the Big Bang, and there was no “before” before the Big Bang. Mishnah discourages such thinking, too. The sages point out that the first letter of the Torah, the letter bet, is open on the left and closed on the right:[1] The text of the Torah and the history of the world proceed from that opening on the left. The closed right side of the letter bet visually walls off [...]

By Alexander Poltorak|2020-08-25T19:56:59-04:00August 17th, 2020|Atomic Theory, Bereishit, Bereshit, Cosmology, Creation, Genesis, G‑d, Kabbalah, Mathematics, Names of G‑d, Parshah, Pentateuch (Chumash), Physics, Quantum Theory, Space, Spirituality, Tzimtzum, Uncategorized, Zohar|5 Comments

Getting a Blessing Through a Wormhole

Getting a Blessing Through a Wormhole

And it came to pass on the morrow, that Moses went into the tent of the testimony; and, behold, the rod of Aaron for the house of Levi was budded, and put forth buds, and bloomed blossoms, and bore ripe almonds. (Bamidbar 17:23) In the Torah portion we read last Shabbat, G‑d instructs Moses to Speak to the children of Israel and take of them rods, one for each fathers’ house… thou shalt write every man’s name upon his rod.” (Bamidbar 17:17) As we read in verse 23, the next morning, Aaron’s rod (i.e., staff) bore ripe almonds. Rabbi Schneur Zalman of Liadi asks the question, why almonds?[1] If the staff of Aaron had blossomed with any flowers or fruits, that would have been enough to miraculously demonstrate to the children of [...]

By Alexander Poltorak|2020-06-30T20:27:00-04:00June 30th, 2020|Bamitbar, Korach, Numbers, Parshah, Pentateuch (Chumash), Relativity, Sefirot, Uncategorized|0 Comments

My Name Is G‑d, and I Am Pleased to Make Your Acquaintance

My Name Is G‑d, and I Am Pleased to Make Your Acquaintance

In the beginning, G‑d created the heaven and the earth...[1] (Genesis 1:1) Classical biblical commentators have given the first words of the Torah many different translations and have interpreted them to have many different meanings. That said, one simple aspect has received little attention—that G‑d is introducing Himself to us. If we take poetic license and change the order of the words, the first phrase in the Torah could be loosely translated as: “[My name is] G‑d—[Who], in the beginning, created the heaven and the earth.” G‑d is introducing Himself to us as the Creator of everything—heaven (i.e., the spiritual) and earth (i.e., the material). This interpretation of the first verse in the Torah may be helpful for the following reason. In truth, G‑d is entirely unknowable. The Creator of everything, including [...]

By Alexander Poltorak|2020-05-25T18:18:41-04:00May 25th, 2020|Bereishit, Bereshit, Creation, Entanglement, G‑d, Mathematics, Names of G‑d, Parshah, Physics, Quantum Theory, Science, Spirituality, Superposition, Uncategorized, Wavefunction|1 Comment

Shavuot (in Russian)

Shavuot (in Russian)

Шавуот Праздник Дарования Торы Aлександр Полторак Закончился праздник Песах. Все евреи поспешно убрали пасхальную посуду в особые шкафы или на чердаки до следующего Песаха. В домах появились после восьмидневного перерыва свежеиспечённые булки. Наступили будни... Прошедший праздник оставил во рту приятный привкус подгоревшей мацы, воспоминания о Седере, проведенном в кругу семьи, рассказы об Исходе. Но закончился ли на этом Песах? Мораль и Свобода Выбора Вспомним, что главная идея Песаха это идея свободы, свободы от рабства Египетского или иного, физического или духовного. Итак, Бог вывел еврейский народ из Египта, сделал нас свободными людьми. Но стали ли мы свободными, освободившись от гнёта египетских надсмотрщиков? Подчас, раб, освобождённый своим хозяином, остаётся у него добровольно, ибо некуда и незачем ему идти, нет у него ни места, ни смысла жизни... Что же это всё-таки такое, свобода? О свободе [...]

By Alexander Poltorak|2020-05-19T19:00:17-04:00May 19th, 2020|Freedom, Holidays (Yomim Tovim), Passover (Pesach), Physics, Shavuot, Uncategorized|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

Wigner’s Friend Receives a Death Threat

It is related that on the day that Rabbi Yehuda HaNasi died, the Sages decreed a fast, and begged for divine mercy so that he would not die. And they said: Anyone who says that Rabbi Yehuda HaNasi has died will be stabbed with a sword. (Talmud, tr. Ketubot 104a) We find an interesting example of the Wigner’s Friend paradox in the Gemara quoted above. The Gemara discusses the circumstances surrounding the death of Rabbi Yehuda HaNasi (Juda the Prince, knows simply as the Rebbi), one of the greatest sages of Israel, who compiled Oral Torah in the Mishnah. Why did the Sages issued a death threat to “anyone who says that Rabbi has died” promising that he “will be stabbed with a sword”? The medieval Talmudist Rabbi Bezalel Ashkenazi (1520-1592), in [...]

By Alexander Poltorak|2023-03-23T18:17:23-04:00March 19th, 2020|Bayesian probability, Collapse of the wavefunction, Physics, Quantum Theory, Relativity, Superposition, Uncategorized, Wavefunction|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

Abel and Cain Conflict—Wave-Particle Duality

Abel and Cain Conflict—Wave-Particle Duality

…And Abel was a keeper of sheep, but Cain was a tiller of the ground. And in process of time it came to pass, that Cain brought of the fruit of the ground an offering unto the Eternal. And Abel, he also brought of the firstlings of his flock and of the fat thereof. And the Eternal had respect unto Abel and to his offering; but unto Cain and to his offering He had not respect. And Cain was very wroth, and his countenance fell. And the Eternal said unto Cain: “Why art thou wroth? and why is thy countenance fallen? If thou doest well, shall it not be lifted up? and if thou doest not well, sin coucheth at the door; and unto thee is its desire, but thou mayest rule over it.” And Cain spoke unto Abel [...]

By Alexander Poltorak|2020-03-02T20:59:56-05:00February 28th, 2020|Atomic Theory, Bereishit, Bereshit, Genesis, Parshah, Pentateuch (Chumash), Physics, Quantum Field Theory, Quantum Theory, Uncategorized, Uncertainty Principle|0 Comments

Primordial Serpent—the Incurable Atomist

Primordial Serpent—the Incurable Atomist

Now the Serpent was more cunning than any beast of the field which the Eternal G‑d had made. (Genesis 3:1) When G‑d placed Adam in the Garden of Eden, He issued a decree: And the Eternal G‑d commanded the man, saying: “Of every tree of the garden thou mayest freely eat.” (Genesis 2:16) Having commanded man to eat from every tree of the garden, including the Tree of Life and the Tree of Knowledge, G‑d qualified His command: “but of the tree of the knowledge of good and evil, thou shalt not eat of it; for in the day that thou eatest thereof thou shalt surely die.” (Genesis 2:17) There appears to be some dissonance between verses 16 and 17. Verse 16 uses two words, akhol tokhel, each of which shares the [...]

By Alexander Poltorak|2020-02-14T16:54:15-05:00February 14th, 2020|Atomic Theory, Bereishit, Bereshit, Genesis, Parshah, Pentateuch (Chumash), Physics, Time, Uncategorized, Wavefunction|3 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

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

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