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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 |2024-10-16T13:45:34-04:00October 6th, 2023|Kabbalah, Physics, Quantum Theory, Science, Standard Model, Sukkot, Sukkot, Uncategorized|0 Comments
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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 |2023-10-02T18:56:27-04:00October 2nd, 2023|Physics, Principle of Least Action, Science, Teleology, Uncategorized|1 Comment
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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 |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
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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 |2023-10-02T20:40:56-04:00September 5th, 2023|Philosophy, Physics, Principle of Least Action, Science, Teleology, Uncategorized|1 Comment
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Time as a Combination of Past and Future

Philosophers struggled with the notion of time from the dawn of human civilization. Physicists of today declared the problem of time the number one problem in theoretical physics. Jewish mysticism has much to say about time.[1] Rabbi Ḥayyim Vital, in the name of the Arizal, quotes a verse: בִּטְחוּ בַיהוָה עֲדֵי-עַד, כִּי בְּיָה יְהוָה צוּר עוֹלָמִים Isaiah 26:4 The standard English translation of this verse, by JPS is: Trust ye in the LORD for ever, for the LORD is GOD, an everlasting Rock. Isaiah 26:4 This is not a very good translation because it doesn't tell you what specific names of G-d are used in the pasuk. Let us spell out the names in this pasuk to see what is going on: Trust ye in Havyah (Y-H-W-H) for ever, for Kah (Y-H) is [...]

By |2023-07-31T17:43:04-04:00July 30th, 2023|Isaiah, Time, Uncategorized, Vaetchanan|1 Comment
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Metaphysics of Time in the Eyes of Philosophy and Kabbalah

A-Series and B-Series as Zman and Seder HaZmanim McTaggart’s series A and series B are two conceptual frameworks proposed by the philosopher J.M.E. McTaggart[1] to analyze the nature of time and its relationship to temporal properties such as past, present, and future. J. M. E. McTaggart, by Walter Stoneman, 1917 In McTaggart’s series A, also known as the “A-series” or the “temporal series,” time is understood in terms of the temporal properties of past, present, and future. The A-series categorizes events based on their temporal relations, such as past, present, and future, which are considered essential aspects of events. The A-series views time as a succession of moments where events move from the future, through the present, and into the past. It emphasizes the dynamic and changing nature of time, with events shifting their [...]

By |2023-07-24T10:13:23-04:00July 21st, 2023|Time, Uncategorized|1 Comment
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Tetragrammaton and the Standard Model

In the first installment of the Standard Model,[1] we uncovered a curious parallel between the arrangement of the elementary particles in the Standard Model (a.k.a. quantum field theory) and Seder Hishtalshelut—the chainlike ontological order of creation—a central doctrine of the Lurianic Kabbalah.[2] In this third installment, we will discover how the proper name of G‑d, the Tetragrammaton, is hard-wired in the standard model. In the Standard Model, all elementary particles are arranged in a four-by-four grid (with the addition of the Higgs Boson in some representations).[3] It is axiomatic in the Kabbalah that all things that are four are rooted in the four letters of the Tetragrammaton: yud (Y), heh (H), waw (W), and heh (H). In the first installment of the Standard Model, we showed that all elementary particles of the Standard [...]

By |2023-07-17T00:30:23-04:00July 17th, 2023|Uncategorized|0 Comments
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The Fast of the Seventeenth of Tammuz as a Manifestation of Breaking of the Vessels of Tohu

Today, on the Seventeenth of Tammuz, Jewish people fast to commemorate several tragic events in Jewish history.[1] These tragic events include the breaking of the Tablets (Luchot) and the breach of the walls of Jerusalem twice—during the First and the Second Temple.[2] It seems that the confluence of these destructive events is not coincidental—all three are manifestations of the spiritual process called in Lurianic Kabbalah, Shevirat HaKelim (the “Breaking of the Vessels”).[3] Many readers may be surprised by the juxtaposition of historical events that happened in this physical world with primordial events that took place in another universe—Olam HaTohu (the “universe of Chaos”)[4] that preceded the creation of our universe—Olam HaTikkun (the “universe of Rectification”)[5] Indeed, how can something that happened before the creation of our universe can affect historical events in this [...]

By |2023-07-06T23:59:12-04:00July 6th, 2023|17th of Tamuz, Creation, Holidays (Yomim Tovim), Mashiach (Messiah), Time, Tisha B'Av, Uncategorized, Zechariah|0 Comments
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Quantum Torah WhatsApp Discussion Group

‎Open this link to join my WhatsApp Group: https://chat.whatsapp.com/HzeLLjGb05THGWBuQzgj87.This Group is dedicated to the discussion of posts on this blog, issues related to the Faith-Science interface, and all questions related to Torah and science. (Although the primary focus is on Torah and physics, discussions of all natural sciences, philosophy, and mathematics are welcome.) On this blog, I speak to you, my esteemed readers. In the new WhatsApp chat, you can speak to me and to each other. All questions are welcome. Please join, and feel free to invite others with similar interests to join. Spread the word! Here is the link to join my WhatsApp Group: https://chat.whatsapp.com/HzeLLjGb05THGWBuQzgj87 See you there!Alex Poltorak

By |2023-07-04T21:55:16-04:00July 4th, 2023|Uncategorized|0 Comments
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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 |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
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The Standard Model II

In the first installment on the Standard Model, we uncovered a curious parallel between the arrangement of the elementary particles in the Standard Model (a.k.a. quantum field theory) and the biblical description of the encampment of the Jewish people in the wilderness of the Sinai Desert. We further demonstrated an even more surprising parallel between the standard model and Seder Hishtalshelut—the chainlike ontological order of creation—a central doctrine of the Lurianic Kabbalah. In this second installment, we will explore the difference between leptons (particles of matter) and bosons (quanta of fields) and discover an intuition for why bosons (except for Higgs) transcend space and time. Finally, we will find a spiritual parallel for the antimatter in the words of Ecclesiastes. Bosons vs Leptons—Transcending Space and Time The parallel between the four worlds on [...]

By |2023-06-28T14:22:04-04:00June 19th, 2023|Uncategorized|1 Comment
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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 |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
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Light Above and Light Below

Einstein’s Special Theory of Relativity (STR) is broadly misunderstood by the public. In most popular science books, relativity theory is hailed for introducing relativity to physics. Whereas Newtonian physics embraces absolute space and time—the narrative goes—Einstein proved that space and time are relative. Fair enough. However, the relativity of space and time is the consequence of STR, not its first principle. The cornerstone of STR is the absolute nature of light or, more precisely, the invariance of the speed of light, which is the same (in a vacuum) in all inertial frames of reference.[1] As Tim Maudlin, a leading contemporary philosopher of physics, writes: The fundamental feature of the Special Theory is not what it makes relative but what it makes absolute. The speed of light is an invariant quantity under the transformation [...]

By |2023-03-19T11:17:27-04:00March 16th, 2023|Bereishit, Bereshit, Genesis, G‑d, Names of G‑d, Parshah, Pentateuch (Chumash), Physics, Relativity, Science, Uncategorized|2 Comments
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Translating the Torah for Future Generations

The limits of my language mean the limits of my world. Ludwig Wittgenstein On Rosh Chodesh (the New Moon of the Hebrew month of) Sh’vat, some three and a half millennia ago, Moses started translating the Torah into seventy languages. This was one of the last things Moses did—the pinnacle of his life of service to G‑d and the Jewish nation. Beyond the Jordan, in the land of Moab, took Moses upon him to expound this law, saying… Deuteronomy 1:5 Rashi, the classical Biblical commentator, quotes Midrash Tanchuma on this verse, explaining: “to expound this law: He expounded it to them in seventy languages.”[1] (“This law” refers to the Torah in general.) Later, Moses commands the elders to collect large stones: And thou shalt write upon the stones all the words of this [...]

By |2023-01-27T00:05:18-05:00January 23rd, 2023|Creation, Kabbalah, Pentateuch (Chumash), Uncategorized|0 Comments
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Cartesian Dualism, Kabbalah, and Quantum Mechanics

Cartesian dualism, or mind-body dualism, formulated by the French scientist, mathematician, and philosopher René Descartes (1596–1650), holds that the body and the mind (which he equated with consciousness, or the soul) are two distinct ontological substances with nothing in common.[1] They exist in different worlds and do not interact or communicate with each other. This position presents a serious problem—if the two have nothing in common, how can they have the causal connections they seem to have? How, for example, can the mind causally direct the body? And, vice versa, how can the body communicate sensations, such as pain, to the mind? This valid criticism proved fatal for Cartesian dualism, which has been all but relegated to the dustbin of history. The Jewish theosophical doctrine of Kabbalah takes a very different approach. It [...]

By |2023-01-22T00:12:47-05:00January 22nd, 2023|Kabbalah, Philosophy, Quantum Theory, Soul, Spirituality, Uncategorized, Wavefunction|2 Comments
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The Flood—a Quantum Metaphor

Noah’s flood was a cataclysmic event with no parallels in recorded history. All of humanity (along with flora and fauna)—except for Noah and his family (and the animals he took with him into the Ark)—was wiped off the face of the earth. Some may call this catastrophic event the Great Extinction, others, the Great Destruction, but I would call it the Great Collapse. If we focus not only on what the Torah says but also on what it tells us, we notice that the Deluge is a metaphor for the collapse of the wave function—the key concept in quantum mechanics. We often talked about the wave function collapse on this blog. However, for those who come here for the first time or feel they need a refresher, here is a very short summary [...]

By |2024-06-23T22:02:43-04:00November 4th, 2022|Bereshit, Collapse of the wavefunction, Genesis, Noach, Parshah, Pentateuch (Chumash), Quantum Theory, Superposition, Superposition, Uncategorized, Wavefunction|0 Comments
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The Tree of Knowledge as a Quantum-Mechanical Metaphor

To Mendel Almost three years ago, in December of 2019, I posted an essay, "The Tree of Knowledge as a Metaphor for Superposition of States and Heisenberg’s Uncertainty Principle." The manuscript of that essay contained an addendum with a short primer on the superposition of states in quantum mechanics and quantum-mechanical treatment of the primordial sin. It expressed the ideas of Maimonides about primordial sin in precise mathematical formulas proving the exact parallel between the fruit of the tree of knowledge of good and evil and a quantum eraser. Realizing that only people familiar with the formalism of quantum mechanics would understand that part of the essay and fearing losing my readers, I decided to omit the addendum entirely. However, the addendum is arguably the most interesting part of the essay, because it [...]

By |2022-10-21T17:10:50-04:00October 20th, 2022|Bereishit, Bereshit, Genesis, Heisenberg Uncertainty Principle, Mathematics, Mathematics, Parshah, Pentateuch (Chumash), Physics, Quantum Eraser, Quantum Theory, Science, Superposition, Superposition, Uncategorized, Uncertainty Principle|1 Comment
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