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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

Sukkah: the Portal into the Holy Land

Sukkah: the portal into the Holy Land Sitting with my wife in our sukkah-hut recently, I was struck by a memory from some four decades ago. During Chol HaMoed Sukkot, I visited my mentor and friend, Rabbi Benzion Feldman. I shared with him that, while sitting in our sukkah, my wife and I had discussed the possibility of making Aliyah to Israel. Rabbi Feldman smiled and said, “The reason you and your wife were thinking about Israel while sitting in your sukkah is that the air in the sukkah is the air of Eretz Yisrael.” Indeed, Eretz Yisrael is under constant divine watchfulness, as it says: A land which the Lord your G-d cares for; the eyes of the Lord your G-d are always upon it. (Deuteronomy 11:12) The sukkah also symbolizes G‑d's protection [...]

By Alexander Poltorak|2024-10-22T10:10:04-04:00October 21st, 2024|Holidays (Yomim Tovim), Sukkot, Uncategorized|1 Comment

Rosh HaShanah: The Beginning of Change II

Abstract This essay explores the profound connections between language, philosophy, physics, and spirituality in the context of Rosh HaShanah. By examining the linguistic roots of “shanah” (year), “shinui” (change), and “shnei” (two), the essay uncovers a rich tapestry of meaning that addresses the fundamental question: Why is there change rather than permanence? The study traces the metaphysical concept of change from ancient Greek philosophy through medieval Jewish thought to modern physics, highlighting the paradoxical relationship between the Infinite Creator and finite creation as expressed in Kabbalistic and Chassidic concepts of mati ve’lo mati and ratzo va’shov. The essay concludes by proposing a relational view of time and change, aligning Jewish mystical thought with contemporary physics, and presenting Rosh HaShanah as an opportunity for renewing and deepening our relationship with the Divine. Introduction In [...]

By Alexander Poltorak|2024-10-16T10:48:27-04:00October 15th, 2024|Creation, G‑d, Holidays (Yomim Tovim), Kabbalah, Metaphysics, Philosophy, Rosh HaShanah, Science, Spirituality, Sukkot, Time, Uncategorized, Yom Kippur|0 Comments

Rosh HaShanah—the Beginning of Change I

It’s All in the Name Rosh HaShanah is usually translated as the New Year. When translated literally, it means the “Head of the Year.” In this essay, I suggest an alternative (almost literal) translation that reveals a new meaning. The word "rosh" is cognate with "reishit," meaning “beginning.” The word "shanah" is cognate with "shinui," meaning “change.” Therefore, Rosh HaShanah can be translated as the Beginning of the Change. Aristotle equated time with change (Physics). Change itself is unthinkable outside of time as change can only occur in time—first, there was something, and then, it became something else. So, change and time are essentially synonymous. Thus, we can translate Rosh Hashanah as the Beginning of Time. Moreover, what is the beginning? Any process extended in time has the beginning, the middle, and the end. However, what is the [...]

By Alexander Poltorak|2024-10-31T23:43:24-04:00October 2nd, 2024|Physics, Rosh HaShanah, Science, Symmetry, Time, Uncategorized|1 Comment

Why Are the Torah’s Mysteries Revealed in Fundamental Theories of Physics?

Look forth from Thy holy habitation, from heaven, and bless Thy people Israel, and the land which Thou hast given us, as Thou didst swear unto our fathers, a land flowing with milk and honey. (Deuteronomy 26:15) When I studied Quantum Mechanics at university, I was puzzled by its mysteries. Technically, it is not a complex theory. With elementary knowledge of linear algebra and some wave physics, one can get pretty far in studying Quantum Mechanics. However, the conceptual difficulties astound everyone who dares to grapple with this theory. It is unlike anything you have seen before. Electrons simultaneously spin clockwise and counterclockwise, particles are in two places at once, cats are both dead and alive, and entangled particles remain connected no matter how far apart. Studying quantum mechanics makes you feel like [...]

By Alexander Poltorak|2024-09-26T20:09:12-04:00September 25th, 2024|Creation, Deuteronomy, Devarim, Kabbalah, Ki Tavo, Parshah, Pentateuch (Chumash), Physics, Quantum Theory, Uncategorized|0 Comments

Bet HaMikdash as a Singularity in Space-time

Bet HaMikdash as a Singularity in Space-time

Introduction In this essay, I intend to draw a parallel between the singularity in space-time, such as the putative point of origin of the universe in the Big Bang cosmology, on the one hand, and the Jerusalem Temple (Bet HaMikdash) as it existed on the terrestrial plane before its destruction and as it continues to exist on the celestial plane—in the four spiritual worlds of the Universe of Tikkun. Another unexpected parallel between the cosmological singularity and the Bet HaMikdash as the embodiment of ten sefirot (divine emanations) is that in cosmology and in Lurianic Kabbalah they both play the role of a “wormhole”—a channel connecting different universes. As a brief introduction, Lurianic Kabbalah is a school of Jewish mysticism developed by Rabbi Isaac Luria (1534-1572), also known as the Holly Ari or [...]

By Alexander Poltorak|2024-08-14T22:16:33-04:00August 14th, 2024|Big Bang, Cosmology, Physics, Sefirot, Singularity, Tisha B'Av, Uncategorized, Zohar|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

Solipsism and Its Implications

Solipsism and Its Implications

Solipsism by DALL-E

By Alexander Poltorak|2024-02-26T00:03:49-05:00February 25th, 2024|epistemology, Philosophy, Uncategorized|1 Comment

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

The Exclusion Principle

The Exclusion Principle

Like most Jewish families worldwide, last Shabbat, the conversation revolved around the situation in the Middle East and the war in Gaza. The question was, what is the end game? How will this war end after IDF destroys Hamas? The United States, no doubt, will push for the Two-State “solution.” But will such a solution be viable? My wife, Leah, ’שתחי, chimed in, “The two-state solution is not viable because the exclusion principle forbids it.” I immediately understood what she meant. It was a deep insight that captured the very essence of the problem. Leah was also trained as a physicist (in fact, we met at a physics conference). Although she specialized in biophysics, she is familiar with quantum mechanics and spoke to me in the language we both understood. What is the [...]

By Alexander Poltorak|2024-01-07T18:15:32-05:00November 5th, 2023|Atomic Theory, Bereshit, Genesis, Parshah, Pentateuch (Chumash), Physics, Quantum Theory, Uncategorized, Vayeira|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

Sukkot and the Standard Model

Sukkot and the Standard Model

And ye shall take you on the first day the fruit of goodly trees, branches of palm-trees, and boughs of thick trees, and willows of the brook. Leviticus 23:40 During the Holiday of Sukkot (“Tabernacles”), the Jewish people are commanded to take together four species (arba’a minim): etrog (fruit of a citron tree), lulav (a branch of a date palm), ḥadassim (boughs from the myrtle tree), and aravot (branches of the willow tree),[1] and hold them together while waving with them in all six directions (na’anuim). As I wrote in my essay “Unified Field Theory… Theory and Practice,”[2] the four species, arba’a minim, also correspond to the four letters of the Tetragrammaton. According to the Arizal, this relationship is as follows: Letter of the TetragrammatonArba’a MinimYudḤadassimHehAravotWawLulavHehEtrogTable 1. Letters of Tetragrammaton and Arba’a Minim As I wrote in my earlier essays,[3] all four fundamental forces correspond to the four [...]

By Alexander Poltorak|2024-10-16T13:45:34-04:00October 6th, 2023|Kabbalah, Physics, Quantum Theory, Science, Standard Model, Sukkot, Sukkot, Uncategorized|0 Comments

Principle of Least Action — IV Lagrangian Mechanics

Principle of Least Action — IV Lagrangian Mechanics

I agree, all its elegance notwithstanding, the principle of least action does not prove the existence of an intelligent Creator. In a sense, when it comes to inanimate matter, the hand of G‑d is concealed, preserving our freedom of choice—to believe or not to believe. However, when it comes to live matter, which, unlike passive inanimate matter, is actively pursuing the goals of survival and procreation, (locally) violating the second law of thermodynamics, there is no more choice. Acknowledging an intelligent Creator, who imbues live matter with goals it must labor to pursue, is no longer a matter of metaphysical commitments, it is a matter of intellectual honesty.

By Alexander Poltorak|2023-10-02T18:56:27-04:00October 2nd, 2023|Physics, Principle of Least Action, Science, Teleology, Uncategorized|1 Comment

Principle of Least Action III — History

Principle of Least Action III — History

The spectacle of the universe becomes so much the grander, so much more beautiful, the worthier of its Author, when one knows that a small number of laws, most wisely established, suffice for all movements. Pierre Louis Maupertuis (1744) Among the more or less general laws, the discovery of which characterize the development of physical science during the last century, the principle of Least Action is at present certainly one which, by its form and comprehensiveness, may be said to have approached most closely to the ideal aim of theoretical inquiry. Its significance, properly understood, extends, not only to mechanical processes, but also to thermal and electrodynamic problems. In all the branches of science to which it applies, it gives, not only an explanation of certain characteristics of phenomena at present encountered, but [...]

By Alexander Poltorak|2024-10-13T21:24:17-04:00September 10th, 2023|G‑d, Kabbalah, Mathematics, Mathematics, Physics, Principle of Least Action, Science, Sefirot, Teleology, Time, Tzimtzum, Uncategorized|0 Comments

Principle of Least Action II — Introduction

Principle of Least Action II — Introduction

The spectacle of the universe becomes so much the grander, so much more beautiful, the worthier of its Author, when one knows that a small number of laws, most wisely established, suffice for all movements. Pierre Louis Maupertuis (1744) Among the more or less general laws, the discovery of which characterize the development of physical science during the last century, the principle of Least Action is at present certainly one which, by its form and comprehensiveness, may be said to have approached most closely to the ideal aim of theoretical inquiry. Its significance, properly understood, extends, not only to mechanical processes, but also to thermal and electrodynamic problems. In all the branches of science to which it applies, it gives, not only an explanation of certain characteristics of phenomena at present encountered, but [...]

By Alexander Poltorak|2023-10-02T20:40:56-04:00September 5th, 2023|Philosophy, Physics, Principle of Least Action, Science, Teleology, Uncategorized|1 Comment