Science

Curses, Blessings, and Semiconductors

Curses, Blessings, and Semiconductors

Ki Tavo And it shall come to pass, when the Lord thy God shall bring thee into the land whither thou goest to possess it, that thou shalt set the blessing upon mount Gerizim, and the curse upon mount Ebal. (Deuteronomy 11:29)These shall stand upon mount Gerizim to bless the people, when ye are passed over the Jordan: Simeon, and Levi, and Judah, and Issachar, and Joseph, and Benjamin; and these shall stand upon mount Ebal for the curse: Reuben, Gad, and Asher, and Zebulun, Dan, and Naphtali. And the Levites shall speak, and say unto all the men of Israel with a loud voice: Cursed be the man that maketh a graven or molten image, an abomination unto the LORD, the work of the hands of the craftsman, and setteth it up [...]

By Alexander Poltorak|2022-09-18T15:50:32-04:00September 18th, 2022|Atomic Theory, Deuteronomy, Ki Tavo, Parshah, Pentateuch (Chumash), Physics, Quantum Theory, Uncategorized|1 Comment

The Temple as a Model of a Cell

The Temple as a Model of a Cell

Introduction Today, on Tisha B’Av—the ninth day of Av, this year commemorated on the tenth day of Av because the ninth is Shabbat, when mourning is forbidden—we mourn the destruction of the Holy Temple—Bet HaMikdash. This day commemorates the destruction of the First and Second Temples in Jerusalem. The First Temple was destroyed by the Babylonian king Nebuchadnezzar II, and Second Temple was destroyed by the Romans. Aside from its historical significance, why is the destruction of both Temples so tragic that it is mourned even today? What is the significance of the Temple in Jerusalem? The Temple was a building where kohanim-priests offered sacrifices. The sages state that the Temple was a source of life for the Jewish people.[1] This can be seen easily if we examine the parallels between the Temple and [...]

By Alexander Poltorak|2022-08-07T13:43:09-04:00August 7th, 2022|Biology, Kabbalah, Tisha B'Av, Uncategorized|2 Comments

The Soul – Part IV. The Whole vs. the Parts

The Soul – Part IV. The Whole vs. the Parts

This is the fourth installment in the series of essays on the nature of the soul. The first three installments can be found here: What Is a Soul? I. The Spiritual vs. the Materia What Is a Soul? II. Anatomy of the Soul What is a Soul? III. The Many Souls of Man At the dawn of classical philosophy, there were two leading schools of thought: holism and atomism. Holism holds that a system (e.g., physical, chemical, biological, social) should be viewed as a whole rather than a collection of parts. Atomism, in contrast, holds the reductionist view that every system is a collection of parts, and the system can be known only by studying its parts. Holism[1] essentially stands for the proposition that the whole is greater than the sum of its [...]

By Alexander Poltorak|2022-06-26T17:19:08-04:00December 27th, 2021|Biology, Kabbalah, Klal and Prat, Soul, Spirituality, Uncategorized|1 Comment

What is a Soul? III. The Many Souls of Man

What is a Soul? III. The Many Souls of Man

…[H]e who tries to cure the soul, wishing to improve the moral qualities, must have a knowledge of the soul in its totality and its parts…Maimonides[1] Maimonides opens his introduction to The Ethics of the Fathers with this statement: Know that the human soul is one, but that it has many diversified activities. Some of these activities have, indeed, been called souls, which has given rise to the opinion that man has many souls, as was the belief of the physicians, with the result that the most distinguished of them states in the introduction of his book that there are three souls, the physical, the vital, and the psychical.[2] While Maimonides lists three souls—the physical (tiv’it), the vital (chiyunit), and the psychical (nefoshit)—he believes them to be aspects of one soul—“Know that [...]

By Alexander Poltorak|2022-01-25T15:40:55-05:00December 15th, 2021|Kabbalah, Neuroscience, Reincarnation, Soul, Spirituality, Uncategorized|0 Comments

Fill the Earth

Fill the Earth

And G‑d created man in His own image, in the image of G‑d created He him; male and female created He them. And G‑d blessed them; and G‑d said unto them: “Be fruitful, and multiply, and replenish the earth, and subdue it . . . .Genesis 1:28 G‑d created man, male and female, and commanded them to be fruitful and multiply, fill the earth, and subdue or conquer it. While the literal meaning of this verse is apparent—fill the earth with your progeny by procreating[1]—it begs a question. Specifically, the phrase “fill the earth” seems superfluous—wasn’t it enough to say “Be fruitful and multiply”? Indeed, the Hebrew word milupim[2] (“to multiply”) is etymologically related to the word mil’u[3] (“to fill”).[4] If humans were to multiply, as commanded by G‑d, they would naturally fill the earth. It seems [...]

By Alexander Poltorak|2021-10-04T15:13:44-04:00October 4th, 2021|Bereishit, Bereshit, Creation, Fractals, Genesis, Kabbalah, Mathematics, Mathematics, Parshah, Pentateuch (Chumash), Space, Uncategorized|0 Comments

The Cosmological Problem of Initial Conditions and the Universe of Tohu

The Cosmological Problem of Initial Conditions and the Universe of Tohu

Now the earth was unformed and void.Genesis 1:2 We have a big problem in cosmology: the problem of the initial conditions of the universe at the time of the Big Bang.[1] Before we can explain this problem, however, we need to review some basic concepts of thermodynamics. Thermodynamics developed by Boltzmann and others[2] described the behavior of gases and liquids and the transfer of heat. A key concept in thermodynamics is entropy. Entropy is a measure of disorder, of chaos. The second law of thermodynamics states that in an isolated system, entropy always increases with time. The second law of thermodynamics explains universal decay. And entropy is the measure of that decay.[3] Shining stars produce entropy. Stars collapsing into black holes produce entropy. Evaporating black holes produce entropy.[4] Entropy is increasing in the universe.[5] Let us [...]

By Alexander Poltorak|2022-09-14T22:36:17-04:00September 30th, 2021|Bereishit, Bereshit, Cosmology, Creation, Genesis, Kabbalah, Parshah, Pentateuch (Chumash), Physics, Sefirot, Thermodynamics, Time, Uncategorized|2 Comments

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

Jacob’s Struggle With a Man: A Metaphor From Neuroscience

Jacob’s Struggle With a Man: A Metaphor From Neuroscience

So the present passed over before him; and he himself lodged that night in the camp. And he rose up that night, and took his two wives, and his two handmaids, and his eleven children, and passed over the ford of the Jabbok. And he took them, and sent them over the stream, and sent over that which he had. And Jacob was left alone; and there wrestled a man with him until the breaking of the day. And when he saw that he prevailed not against him, he touched the hollow of his thigh; and the hollow of Jacob’s thigh was strained, as he wrestled with him. And he said: “Let me go, for the day breaketh.” (Genesis 32:23–26) The story of Jacob wrestling with a “man” is yet another of [...]

By Alexander Poltorak|2020-12-07T17:30:25-05:00December 4th, 2020|Bereshit, Biology, Dreams, Genesis, Neuroscience, Parshah, Pentateuch (Chumash), Science, Uncategorized, Vayishlach|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

Noah’s Ark—A Model of a Living Cell

Noah’s Ark—A Model of a Living Cell

Make thee an ark of gopher wood; with rooms shalt thou make the ark, and shalt pitch it within and without with pitch” (Genesis 6:14) A light shalt thou make to the ark, and to a cubit shalt thou finish it upward; and the door of the ark shalt thou set in the side thereof; with lower, second, and third stories shalt thou make it. (Genesis 6:16) And of every living thing of all flesh, two of every sort shalt thou bring into the ark, to keep them alive with thee; they shall be male and female. (Genesis 6:19) And the Eternal said unto Noah: ‘Come thou and all thy house into the ark…’ (Genesis 7:1) Kabbalah teaches that Noah’s ark was a microcosm of the world. The ark appears to be [...]

By Alexander Poltorak|2020-10-22T13:32:09-04:00October 20th, 2020|Bereshit, Biology, Genesis, Noach, Parshah, Pentateuch (Chumash), Uncategorized|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

Quantum Cheshire Cat vs. Venomous Snakes

Quantum Cheshire Cat vs. Venomous Snakes

A Study in Form and Matter And Moses prayed for the people. And the Eternal said unto Moses: “Make thee a fiery serpent, and set it upon a pole; and it shall come to pass, that every one that is bitten, when he seeth it, shall live.” And Moses made a serpent of brass, and set it upon the pole; and it came to pass, that if a serpent had bitten any man, when he looked unto the serpent of brass, he lived. (Numbers 21:8-9) The Torah portion, Chukat, tells a bizarre story. Jews complain against G‑d and Moses. G‑d gets angry and sends venomous snakes that bite and kill many Jews. The people repent and ask Moses to pray for them. In response to Moses’s prayer, G‑d instructs him to make a [...]

By Alexander Poltorak|2020-07-07T12:50:50-04:00July 6th, 2020|Biology, Chukat, Creation, Kabbalah, Numbers, Parshah, Pentateuch (Chumash), Quantum Theory, Tzurah and Chomer, Uncategorized|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

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