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The Imperative of Purpose: Bridging Science, Philosophy, and Divine Wisdom

And G-d said to Abram, “Go forth from your native land and from your father’s house to the land that I will show you.” (Genesis 12:1) I.              Introduction Physics stands as the cornerstone of modern science, offering fundamental laws that govern matter and energy throughout the cosmos. Its equations describe the dance of subatomic particles and the orchestration of galactic systems with remarkable precision. However, a profound dichotomy exists in our universe: the distinction between inanimate and living matter. While physics masterfully explains the behavior of lifeless matter, it falls conspicuously silent when confronted with the defining characteristic of life itself—purposefulness. The reductionist assertion that biology can be fully explained through chemistry, and chemistry through physics, while technically true, obscures a fundamental gulf in our understanding. This gap lies not in the mechanical [...]

By |2024-11-16T21:10:35-05:00November 15th, 2024|Biology, Genesis, Kabbalah, Lech-Lecha, Metaphysics, Parshah, Pentateuch (Chumash), Philosophy, Physics, Science, Uncategorized|0 Comments
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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 |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
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Bereshit: The Binary Universe I

Abstract This essay explores the profound significance of the letter Bet (ב), the first letter of the Torah, and its numerical value of two as a fundamental hint at the binary nature of our universe. Through an analysis of Jewish mystical texts, philosophical works, and modern physics, we demonstrate how this duality manifests across multiple dimensions of existence. The paper examines the Creator-creation relationship, the nature of time, and paradoxes inherent in divine attributes, showing how these apparent dualities emerge from absolute divine unity. This synthesis of the Torah wisdom and contemporary science suggests that the binary structure implied by the letter Bet may be more than metaphorical, potentially representing a fundamental characteristic of reality itself. I.              Introduction The Torah begins with the letter Bet (ב), the second letter of the Hebrew alphabet, [...]

By |2024-11-08T16:14:20-05:00November 8th, 2024|Bereishit, Bereshit, Creation, Genesis, G‑d, Kabbalah, Mathematics, Metaphysics, Parshah, Pentateuch (Chumash), Philosophy, Physics, Science, Time, Uncategorized|1 Comment
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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 |2024-10-31T23:43:24-04:00October 2nd, 2024|Physics, Rosh HaShanah, Science, Symmetry, Time, Uncategorized|1 Comment
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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 |2024-09-26T20:09:12-04:00September 25th, 2024|Creation, Deuteronomy, Devarim, Kabbalah, Ki Tavo, Parshah, Pentateuch (Chumash), Physics, Quantum Theory, Uncategorized|0 Comments
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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 |2024-08-14T22:16:33-04:00August 14th, 2024|Big Bang, Cosmology, Physics, Sefirot, Singularity, Tisha B'Av, Uncategorized, Zohar|1 Comment
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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 |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
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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 |2024-01-07T18:15:32-05:00November 5th, 2023|Atomic Theory, Bereshit, Genesis, Parshah, Pentateuch (Chumash), Physics, Quantum Theory, Uncategorized, Vayeira|0 Comments
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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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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

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