Torah

Binary Universe III: Two Camps of Angels

This post continues the discussion we began in "Bereshit: The Binary Universe I" and continued in "The Binary Universe II: Angels as Microprocessors." At the end of Parshat Vayetze, Jacob meets two camps of Angels: And Jacob went on his way, and angels of G‑d encountered him. When Jacob saw them, he said, “This is the camp of G‑d!” So, he named that place “Mahanaim.” (Genesis 32:2–3) The text indicates that Jacob meets two camps of angels—one set of angels that accompanied him outside the Holy Land and another set that takes over as he re-enters the Holy Land (See Rashi on these verses). The word “Mahanaim” (מַחֲנָיִם) literally means “two camps,” reflecting Jacob’s perception of two distinct angelic groups. In light of our metaphor—angels as transistors—this transition at the border of the [...]

By Alexander Poltorak|2024-12-08T21:40:36-05:00December 8th, 2024|Angels, Bereshit, Binary Universe, Genesis, Parshah, Pentateuch (Chumash), Uncategorized, Vayetze|0 Comments

Sarah in a State of Superposition

And it came to pass, when he was come near to enter into Egypt, that he said unto Sarai his wife: “Behold now, I know that thou art a fair woman to look upon. And it will come to pass, when the Egyptians shall see thee, that they will say: This is his wife; and they will kill me, but thee they will keep alive. Say, I pray thee, thou art my sister; that it may be well with me for thy sake, and that my soul may live because of thee.” (Genesis 12:11-13) This passage presents a perplexing scenario. Abraham (then Abram) asks his wife Sarah (then Sarai) to present herself as his sister upon entering Egypt. Classical commentators and the Zohar grapple with Abraham's motives, questioning why he would place Sarah in such a [...]

By Alexander Poltorak|2024-11-10T12:34:00-05:00November 10th, 2024|Bereshit, Collapse of the wavefunction, Fractals, Genesis, Husband and wife, Kabbalah, Lech-Lecha, Pentateuch (Chumash), Physics, Quantum Theory, Sefirot, Song of Songs, Superposition, Superposition, Tanakh, Uncategorized|0 Comments

And there was Evening and there was Morning: Quantum Mechanics in Genesis

And there was Evening and there was Morning: Quantum Mechanics in Genesis

This essay explores a novel parallel between quantum mechanical principles and the biblical creation narrative through etymological analysis of the Hebrew terms “erev” (evening) and “boker” (morning). The study reveals that these terms, which punctuate each day of creation in Genesis, carry meanings that remarkably align with fundamental quantum concepts. "Erev," rooted in the concept of "mixture," parallels quantum superposition, while "boker," stemming from differentiation and discernment, mirrors quantum measurement and wave function collapse.

By Alexander Poltorak|2024-10-31T23:40:03-04:00October 30th, 2024|Bereishit, Bereshit, Collapse of the wavefunction, Creation, Entanglement, Genesis, G‑d, Parshah, Pentateuch (Chumash), Quantum Theory, Science, Superposition, Uncategorized, Wavefunction|1 Comment

Zealotry and Mercy: Parallels Between Pinchas and the War in Gaza

Zealotry and Mercy: Parallels Between Pinchas and the War in Gaza The biblical story of Phinehas (Heb. Pinḥas or Pinchas) presents a complex moral scenario in which an act of violence is divinely sanctioned as a means to restore order and peace. This narrative brings the ethics of conflict into sharp relief. The story of Pinḥas is found in Numbers 25:1-15. It takes place when the Israelites are encamped in Shittim, and some of them begin to engage in sexual immorality with Moabite women, as well as worshipping their gods. This angers G‑d, who sends a plague upon the Israelites. At the height of this crisis, an Israelite man named Zimri brings a Midianite woman named Cozbi into the camp, in full view of Moses and the whole assembly. Pinḥas, grandson of Aaron [...]

By Alexander Poltorak|2024-07-26T18:53:06-04:00July 26th, 2024|Bamitbar, Numbers, Parshah, Pentateuch (Chumash), Pinchas, Reincarnation, Sefirot, Uncategorized, Zohar|0 Comments

The Symbolism of the Menorah

The Symbolism of the Menorah

The Temple Menorah served as a lighthouse, illuminating darkness and providing purpose and direction.

By Alexander Poltorak|2024-06-23T23:25:53-04:00June 23rd, 2024|Bamitbar, Behaalotecha, Biology, Freedom, Kabbalah, Numbers, Parshah, Pentateuch (Chumash), Sefirot, Space, Uncategorized|0 Comments

The Mystery of the Eighth Day

The Mystery of the Eighth Day

And on the eighth day, the flesh of his foreskin shall be circumcised. Leviticus 12:3 In the Torah portion of Tazria, we are commanded to circumcise a male child on the eighth day. In the previous Torah portion, Shemini, we read that the dedication of the Tabernacle (Mishkan) also took eight days, and only on the eighth day the Shechinah (“divine presence”) rested on it. What is the significance of the eighth day? Chasidic philosophy interprets the eighth day as the day after seven days. In numerous writings (ma’amarim) and talks (siḥot), the Rebbes of Chabad stated that seven days represent nature, whereas the eighth day is a day above nature.[1] The eighth day represents the supernatural. Why, you may ask, do the seven days represent nature? We are told that the number [...]

By Alexander Poltorak|2024-06-23T21:50:37-04:00April 14th, 2024|Kabbalah, Leviticus, Parshah, Pentateuch (Chumash), Space, Spirituality, Tazria, Time, Uncategorized, Vayikra|0 Comments

Breaking Symmetry to Inaugurate the Priests

Breaking Symmetry to Inaugurate the Priests

The Torah portion Tzav describes a ritual performed by Moses in consecrating Aaron as the High Priest (Kohen Gadol) and his sons as priests (kohanim): And the other ram was presented, the ram of consecration, and Aaron and his sons laid their hands upon the head of the ram. And when it was slain, Moses took of the blood thereof, and put it upon the tip of Aaron’s right ear, and upon the thumb of his right hand, and upon the great toe of his right foot. And Aaron’s sons were brought, and Moses put of the blood upon the tip of their right ear, and upon the thumb of their right hand, and upon the great toe of their right foot; and Moses dashed the blood against the altar round about. Leviticus [...]

By Alexander Poltorak|2024-04-02T21:26:16-04:00April 1st, 2024|Biology, Chemistry, Leviticus, Malachi, Parshah, Purim, Sefirot, Standard Model, Symmetry, Tanakh, Tzav, Uncategorized, Vayikra|0 Comments

Gazing at the Shekhinah

Gazing at the Shekhinah

In his commentary on this week’s Torah Portion, Yitro, Rabbi Chayim Vital, writing in the name of his teacher, the Ari-zal, states that Abel was punished for gazing at the Shekhinah—the divine presence.[1] But what relevance does this have to the Torah portion retelling the greatest event in Jewish history (and, indeed, the history of human civilization)—the Sinaitic epiphany—the giving of the Torah? This is the Torah portion, where we read the Ten Commandments. What is the relevance of the sin of Abel to the Ten Commandments? More generally, what is Abel’s connection to this Torah portion? That is easy to understand. The Torah portion Yitro starts with the story of Jethro (Yitro), Moses’s father-in-law, coming to Moses in the Sinai desert with his daughter—the wife of Moses—and her two children. Rabbi Chayim [...]

By Alexander Poltorak|2024-02-05T15:05:18-05:00February 4th, 2024|Bayesian probability, Collapse of the wavefunction, Exodus (Shemot), G‑d, Kabbalah, Neuroscience, Parshah, Pentateuch (Chumash), Reincarnation, Superposition, Superposition, Uncategorized, Wavefunction, Wavefunction of G‑d, Yitro|2 Comments

Time and Space as Emergent Phenomena — Abstract

The current Torah portion Beshalach tells about the splitting of the Sea of Reeds. As I discussed in my essay, “Collapse and Revelation,” the splitting of the sea is a metaphor for the collapse of the wave function in quantum mechanics. The Alter Rebbe, the Baal HaTanya, taught us to leiben min hatzait (“to live with the time,” that is, to leave with the current reading of the Torah). Maybe this is why, this week, when we read in the Torah portion Beshalach about the splitting of the sea, I finally understood where time comes from. This question haunted me for more than forty years. Finally, this week, I got it—time emerges through the interaction of consciousness with the universal wave function, causing the sequence of wave function collapses that we perceive as [...]

By Alexander Poltorak|2024-01-25T23:30:32-05:00January 25th, 2024|Beshalach, Collapse of the wavefunction, Creation, Exodus (Shemot), Parshah, Pentateuch (Chumash), Philosophy, Physics, Quantum Theory, Science, Shemot, Space, Time, Uncategorized, Wavefunction|3 Comments

On Freedom of Choice, Divine Providence, and the Hard Problem of Philosophy

On Freedom of Choice, Divine Providence, and the Hard Problem of Philosophy

The story of Joseph and his brothers, described in the Torah portion of Vayeshev, presents many problems. Classical biblical commentators interpret the conflict between Joseph and his brothers in diametrically opposite ways. Some commentators interpret it literally—the brothers were guilty of conspiring to kill Joseph and, ultimately, selling him into slavery, for which they were held accountable.[1] In fact, the brothers admit their guilt: And they said one to another: ‘We are verily guilty concerning our brother, in that we saw the distress of his soul, when he besought us, and we would not hear. . . . Genesis 42:21 Others take the view that these events were predetermined by G‑d. Indeed, in the Covenant Between the Parts, G‑d reveals to Abraham that his descendants will be strangers in a foreign land. Furthermore, [...]

By Alexander Poltorak|2023-12-10T21:25:00-05:00December 10th, 2023|Bereshit, Genesis, Parshah, Pentateuch (Chumash), Philosophy, Quantum Theory, Randomness, Uncategorized, Vayeshev, Wavefunction|0 Comments

Israel’s Security Lapses as a Reflection of Lot Consciousness

Israel’s Security Lapses as a Reflection of Lot Consciousness

The October 7th attack by Hamas terrorists on Israel was a double surprise. The brutality and barbarism of the attack, the unspeakable cruelty of the terrorists that stunned the civilized world, was shocking but hardly a surprise. The stunning failure of the Israeli intelligence services to anticipate the attack despite the writing on the wall was a surprise. The complete and shocking unpreparedness of the IDF, which took many hours to mount an organized response, after terrorists breached the security fence, killed many hundreds of civilians, and took many hostages, was another surprise. The Israeli intelligence was blissfully unaware of year-long preparations by Hamas and the Israeli army that was caught with its pants down, unprepared to defend Israel’s border with Gaza. The Torah describes three stages of the development of Mashiach consciousness. [...]

By Alexander Poltorak|2023-11-03T11:20:50-04:00November 3rd, 2023|Bereshit, Parshah, Uncategorized, Vayeira|1 Comment

Entrainment by the Red Heifer

Entrainment by the Red Heifer

And for the unclean they shall take of the ashes of the burning of the purification from sin, and running water shall be put thereto in a vessel. Numbers 19:17 In my essay “Paradox of the Red Heifer,” I proposed a mechanism by which the ashes of the red heifer remove the impurity of death, where I analogized the procedure with resuscitation using a defibrillator.[1] In this essay, I propose an additional mechanism based on the phenomenon of entrainment, which I will explain below. Entrainment In physics and biology, entrainment refers to the synchronization of two or more rhythmic cycles.[2] This concept can apply to various systems, from physical phenomena to biological rhythms. Here are a few examples: Physics. In mechanical systems, entrainment refers to the process whereby two interacting oscillating systems assume the [...]

By Alexander Poltorak|2023-07-06T19:54:37-04:00July 3rd, 2023|Biology, Chemistry, Chukat, Ezekiel, Mathematics, Mathematics, Neuroscience, Numbers, Parshah, Pentateuch (Chumash), Physics, Science, Soul, Spirituality, Uncategorized|1 Comment

The Standard Model

The Standard Model

Introduction What could the Standard Model of particle physics possibly have in common with biblical accounts of the Israelites’ travels in the Sinai Desert, Kabbalistic doctrines related to the unfolding of spiritual worlds, or the arrangement of the letters in the Name of G‑d? To make connections or parallels between such unrelated concepts may sound farfetched. However, this is exactly what we are going to do in this essay. Remember that in structural analysis, we do not concern ourselves with the specifics or the nature of the objects at hand—we are interested only in the interrelationships among the objects, the high-level structure, or the storyline. So, let us not worry that particle physics speaks of subatomic particles, whereas the Torah speaks of the arrangement of Jewish tribes around the Tabernacle in the desert—topics [...]

By Alexander Poltorak|2024-06-07T19:20:24-04:00May 25th, 2023|Bamidbar, Bamitbar, Kabbalah, Names of G‑d, Numbers, Parshah, Pentateuch (Chumash), Physics, Quantum Field Theory, Quantum Theory, Sefirot, Standard Model, Symmetry, Uncategorized|1 Comment

Creation—Destruction—Reconstruction

Structurally identical biblical accounts of creation, destruction, and restoration are viewed as a manifestation of dialectic triad thesis-antithesis-synthesis.

By Alexander Poltorak|2022-11-20T10:39:28-05:00November 11th, 2022|Collapse of the wavefunction, Creation, Genesis, G‑d, Husband and wife, Kabbalah, Noach, Parshah, Pentateuch (Chumash), Physics, Quantum Theory, Resurrection, Sefirot, Time, Uncategorized|2 Comments

The Captive Beauty

In the proposed allegorical interpretation, the soldier in the war is a metaphor for the Jewish people, who are all “soldiers” in G‑d’s army Tzivot Hashem, who fight the battle against evil to liberate and elevate fallen sparks from Tohu; where the beautiful woman from another nation is a metaphor for a fallen spark from another universe (Tohu), where the uncontrollable attraction the soldier feels towards the beautiful captive is a metaphor for the uncontrollable attraction a Jewish person (who is attuned to spirituality) feels towards divine sparks he is destined to redeem; where after having extracted the fallen spark from the clutches of evil, it requires a period of purification to achieve the ultimate marriage—the reintegration of the fallen spark into the domain of holiness.

By Alexander Poltorak|2022-09-14T18:34:45-04:00September 12th, 2022|Deuteronomy, Devarim, Kabbalah, Ki Teitzei, Parshah, Pentateuch (Chumash), Uncategorized|0 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

What Is a Soul? II. Anatomy of the Soul

What Is a Soul? II. Anatomy of the Soul

In the biblical story of the creation of Adam, the Torah states: Then the Eternal G‑d formed man of the dust of the ground, and breathed into his nostrils the breath of life; and man became a living soul.Genesis 2:7 The word translated into English as “soul” in the original Hebrew is nefesh. This is the first and the lowest level of the soul given to Adam. The taxonomy and anatomy of a soul in Judaism are quite complex. Original biblical sources speak of three levels of the soul: nefesh (“soul”), ru’ach (“spirit”),[1] and neshamah (“breath”).[2] The Kabbalah speaks of the five levels of the soul: nefesh, ru’ach, neshamah, chayah, and yechidah. This is based on classical rabbinic sources. As stated in the midrash, “By five names is the soul called: nefesh, ru’ach, [...]

By Alexander Poltorak|2021-12-31T15:00:28-05:00November 5th, 2021|Ezekiel, Kabbalah, Names of G‑d, Sefirot, Soul, Spirituality, Uncategorized|2 Comments

Zettaflood

In the six hundredth year of Noah’s life, in the second month, on the seventeenth day of the month, on the same day were all the fountains of the great deep broken up, and the windows of heaven were opened.Genesis 7:11 As the Torah tells us, at the dawn of human history, the flood swept the world. Most people, except for Noah and his family, drowned in that flood. Today, we too are drowning in a flood of a different kind—the informational flood. To put the current flood in perspective, consider this: according to one estimate in 2003, between the beginning of human civilization and the spread of computers, humanity generated cumulatively about 12 exabytes (12x1018 bytes) of data. However, in 2002 alone, we generated 5 exabytes of data. According to another estimate, [...]

By Alexander Poltorak|2021-10-05T16:43:54-04:00October 4th, 2021|Fractals, Genesis, Kabbalah, Mathematics, Noach, Parshah, Pentateuch (Chumash), Uncategorized|1 Comment

Yom Kippur—The Day of Pure Delight

Yom Kippur—The Day of Pure Delight

Yom Kippur means “The Day of Atonement.” Some view it as a frightening day full of regrets of the past and anxiety for the future. However, Chasidic philosophy sees Yom Kippur as the day of pure delight. On a simple level, Yom Kippur is the day of forgiveness--the day when we all going to be forgiven, cleansed, and atoned. What is not to be happy about? Moreover, it is a day when we get our personal rendezvous with our Heavenly Father, and with ourselves. The last prayer of Yom Kippur is called Neila ("closing"). It is usually interpreted as the closing of the doors of prayers when the penitent feverishly trying to squeeze another prayer before the doors are shut. In Hassidic teachings, the Neila is viewed completely differently—it is the most cherished [...]

By Alexander Poltorak|2023-09-24T00:35:40-04:00September 15th, 2021|Uncategorized|0 Comments