Bereishit

Parshat Bereshit. Genesis 1:1-6:8. בְּרֵאשִׁית Bereshith, Bereshis, Breshis, Breishis

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

Light Above and Light Below

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 Alexander Poltorak|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

The Tree of Knowledge as a Quantum-Mechanical Metaphor

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 Alexander Poltorak|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

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

Let There Be Light

Let There Be Light

And G‑d said: “Let there be light.” And there was light. And G‑d saw the light, that it was good; and G‑d separated between the light and between the darkness. And G‑d called the light day, and the darkness He called night. And there was evening and there was morning, one day. (Genesis 1:3-5) This short passage from Genesis presents several difficulties that many classical commentators struggle to address. The first problem has to do with darkness and the separation of light from darkness. As we know today, darkness is not a substance—it is merely the absence of light. The verse states that G‑d separated between the light and the darkness. Presumably, before this “separation,” the light and the darkness existed together. How is this possible? By definition, the presence of light [...]

By Alexander Poltorak|2020-10-18T15:20:22-04:00October 16th, 2020|Bereishit, Bereshit, Creation, Ezekiel, Genesis, Parshah, Pentateuch (Chumash), Soul, Time|0 Comments

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

My Name Is G‑d, and I Am Pleased to Make Your Acquaintance

My Name Is G‑d, and I Am Pleased to Make Your Acquaintance

In the beginning, G‑d created the heaven and the earth...[1] (Genesis 1:1) Classical biblical commentators have given the first words of the Torah many different translations and have interpreted them to have many different meanings. That said, one simple aspect has received little attention—that G‑d is introducing Himself to us. If we take poetic license and change the order of the words, the first phrase in the Torah could be loosely translated as: “[My name is] G‑d—[Who], in the beginning, created the heaven and the earth.” G‑d is introducing Himself to us as the Creator of everything—heaven (i.e., the spiritual) and earth (i.e., the material). This interpretation of the first verse in the Torah may be helpful for the following reason. In truth, G‑d is entirely unknowable. The Creator of everything, including [...]

By Alexander Poltorak|2020-05-25T18:18:41-04:00May 25th, 2020|Bereishit, Bereshit, Creation, Entanglement, G‑d, Mathematics, Names of G‑d, Parshah, Physics, Quantum Theory, Science, Spirituality, Superposition, Uncategorized, Wavefunction|1 Comment

In the Beginning — It’s All About Change

In the Beginning — It’s All About Change

In the beginning G‑d created the heaven and the earth. (Genesis 1:1) The first verse in the Torah is key to understanding the fundamentals of creation. As far as physics is concerned, there are three key words in this verse, which are highlighted in bold: In the beginning G‑d created the heaven and the earth. According to Nachmanides, these three words—“beginning,” “heaven,” and “earth”—represent, respectively, time, space, and matter. It is easy to see that the “beginning” stands for time, because the “beginning” is clearly a temporal concept that sets off the beginning of time; that “heaven” is a metaphor for space, because the stars and the planets are perceived to be in the sky (i.e., heaven) when, in fact, they are moving in space;[1] and that “earth” is emblematic of matter, [...]

By Alexander Poltorak|2020-10-15T23:02:15-04:00March 11th, 2020|Bereishit, Bereshit, Creation, Ezekiel, Genesis, Kabbalah, Parshah, Pentateuch (Chumash), Relativity, Sefirot, Space, Spirituality, Time, Uncategorized|4 Comments

Abel and Cain Conflict—Wave-Particle Duality

Abel and Cain Conflict—Wave-Particle Duality

…And Abel was a keeper of sheep, but Cain was a tiller of the ground. And in process of time it came to pass, that Cain brought of the fruit of the ground an offering unto the Eternal. And Abel, he also brought of the firstlings of his flock and of the fat thereof. And the Eternal had respect unto Abel and to his offering; but unto Cain and to his offering He had not respect. And Cain was very wroth, and his countenance fell. And the Eternal said unto Cain: “Why art thou wroth? and why is thy countenance fallen? If thou doest well, shall it not be lifted up? and if thou doest not well, sin coucheth at the door; and unto thee is its desire, but thou mayest rule over it.” And Cain spoke unto Abel [...]

By Alexander Poltorak|2020-03-02T20:59:56-05:00February 28th, 2020|Atomic Theory, Bereishit, Bereshit, Genesis, Parshah, Pentateuch (Chumash), Physics, Quantum Field Theory, Quantum Theory, Uncategorized, Uncertainty Principle|0 Comments

Primordial Serpent—the Incurable Atomist

Primordial Serpent—the Incurable Atomist

Now the Serpent was more cunning than any beast of the field which the Eternal G‑d had made. (Genesis 3:1) When G‑d placed Adam in the Garden of Eden, He issued a decree: And the Eternal G‑d commanded the man, saying: “Of every tree of the garden thou mayest freely eat.” (Genesis 2:16) Having commanded man to eat from every tree of the garden, including the Tree of Life and the Tree of Knowledge, G‑d qualified His command: “but of the tree of the knowledge of good and evil, thou shalt not eat of it; for in the day that thou eatest thereof thou shalt surely die.” (Genesis 2:17) There appears to be some dissonance between verses 16 and 17. Verse 16 uses two words, akhol tokhel, each of which shares the [...]

By Alexander Poltorak|2020-02-14T16:54:15-05:00February 14th, 2020|Atomic Theory, Bereishit, Bereshit, Genesis, Parshah, Pentateuch (Chumash), Physics, Time, Uncategorized, Wavefunction|3 Comments

It Is Not Good For Man To Be Alone

It Is Not Good For Man To Be Alone

And the Eternal G‑d said: “It is not good that the man should be alone; I will make him a helpmate opposite him.” (Genesis 2:18) The end of this verse is rather puzzling. Why would the woman designated as a helpmate for Adam be opposite (literally “against”) him? One can perhaps soften things by translating the Hebrew eizer kenegdo as “counterpart.” However, in a literal translation, the question remains. A simple explanation is well known: if a man is worthy, his wife would be his best friend, ally, partner, companion, and helpmate. If the man is not worthy, however, his wife would be his opponent and antagonist. An esoteric interpretation offered by Rabbi Shneur Zalman of Liadi, in his commentary on this verse in “Torah Ohr,”[1] provides a deeper meaning. He writes [...]

By Alexander Poltorak|2020-02-07T13:30:15-05:00February 7th, 2020|Bereishit, Bereshit, Collapse of the wavefunction, Creation, Genesis, G‑d, Isaiah, Kabbalah, Names of G‑d, Parshah, Pentateuch (Chumash), Physics, Sefirot, Space, Symmetry, Time, Uncategorized, Wavefunction, Zechariah|0 Comments

Cosmology and the Tetragrammaton

Cosmology and the Tetragrammaton

As we discussed in the previous post “Singularity and Paradise,” Paradise offers a beautiful metaphor for modern cosmology wherein Eden is the initial singularity preceding the Big Bang, the river flowing from Eden to water the garden[1] is the expanding universe, and the garden itself is our planet Earth. This metaphor fits nicely with an old Kabbalistic allegory of a glassblower who maps the various stages of the glassblowing process with the four letters of the Tetragrammaton—Y‑H‑W‑H, or yud-heh-vav-heh. To create a glass object, the glassblower must first have a seminal idea of what he desires to create—this corresponds to the letter י (yud) of the Tetragrammaton, because yud represents Chokhmah, which itself represents the seminal idea and inspiration. Before the process of creation begins, the glassblower must inhale air into his lungs—this [...]

By Alexander Poltorak|2020-01-18T22:52:31-05:00January 18th, 2020|Bereishit, Bereshit, Cosmology, Genesis, G‑d, Kabbalah, Names of G‑d, Parshah, Pentateuch (Chumash), Sefirot, Sefirot, Uncategorized|2 Comments

Singularity and Paradise

Singularity and Paradise

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 chapter of Genesis contains many repetitions, the most famous of which is the second rendering of the story of the creation of Adam and Eve. The classical commentators explain that this chapter adds further details to the original story of creation told in chapter one. Indeed, the Torah itself makes it clear by stating that “these are chronicles of the heaven and the earth…” Thus, the biblical cosmology sketched out in the first chapter of Genesis is retold here in greater detail. *** And a river went out of Eden to water the garden. (Genesis 2:8-10) This verse positions Eden as the wellspring [...]

By Alexander Poltorak|2020-01-29T18:57:59-05:00January 16th, 2020|Bereishit, Bereshit, Cosmology, Creation, Genesis, Kabbalah, Parshah, Pentateuch (Chumash), Relativity, Sefirot, Sefirot, Uncategorized|2 Comments

The Tree of Life and Wave Mechanics

The Tree of Life and Wave Mechanics

As we discussed in the earlier post, The Tree of Knowledge as a Metaphor for Superposition of States and Heisenberg’s Uncertainty Principle, the Heisenberg uncertainty principle is a direct consequence of wave-particle duality. If so, shouldn’t we expect to see some hints at the wave nature of reality in the narrative of the Garden of Eden? And the Tree of Life (Etz HaChaim): what was it doing in Eden? It appears in the narrative only twice—in the very beginning and at the very end of the story of the primordial sin—almost as if to put a frame around the picture. At the start of this narrative, the verse states: And the Lord G‑d planted a garden eastward, in Eden; and there He put the man whom He had formed. And out of the ground [...]

By Alexander Poltorak|2020-10-15T22:46:57-04:00December 30th, 2019|Bereishit, Bereshit, Collapse of the wavefunction, Creation, Genesis, Kabbalah, Parshah, Pentateuch (Chumash), Quantum Theory, Sefirot, Superposition, Tanakh, Uncategorized, Uncertainty Principle, Wavefunction, Zohar|3 Comments

Why the first humans were not allowed to eat from the Tree of Knowledge

Why the first humans were not allowed to eat from the Tree of Knowledge

As always in science, every answered question breeds new questions. Now that we understand that the Tree of Life and the Tree of Knowledge are metaphors for, respectively, the wave function and the collapse of the wave function (see my earlier post, "The Tree of Knowledge as a Metaphor for Superposition of States and Heisenberg’s Uncertainty Principle"), we are faced with more questions. Why did G‑d not want Adam and Eve to eat from the Tree of Knowledge? And what was so terrible about the forbidden fruit that eating it warranted capital punishment?[1] Let us recall that, according to our tradition, Adam and Eve were prohibited from eating from the Tree of Knowledge only for three hours. Adam and Eve were created on the sixth day—the Eve of the Sabbath (Erev Shabbat). With [...]

By Alexander Poltorak|2019-12-26T18:43:29-05:00December 26th, 2019|Bereishit, Bereshit, Collapse of the wavefunction, Creation, Genesis, Mashiach (Messiah), Parshah, Physics, Quantum Theory, Shabbat, Spirituality, Superposition, Uncategorized, Uncertainty Principle, Wavefunction|4 Comments

The Tree of Knowledge as a Metaphor for Superposition of States and Heisenberg’s Uncertainty Principle

The Tree of Knowledge as a Metaphor for Superposition of States and Heisenberg’s Uncertainty Principle

And out of the ground made the Lord G‑d to grow every tree that is pleasant to the sight, and good for food; and the tree of life also in the midst of the garden, and the tree of the knowledge of good and evil. (Genesis 2:9) And the Lord G‑d commanded the man, saying: “Of every tree of the garden thou mayest freely eat; but of the tree of the knowledge of good and evil, thou shalt not eat of it; for in the day that thou eatest thereof thou shalt surely die.” (Genesis 2:16–17) Upon creating Adam and Eve, G‑d permitted them to eat any fruit from the Garden of Eden, except for the forbidden fruit—the fruit of the Tree of Knowledge. Disregarding this injunction, Adam and Eve ate the forbidden [...]

By Alexander Poltorak|2019-12-26T22:01:50-05:00December 19th, 2019|Bereishit, Bereshit, Creation, Genesis, Mashiach (Messiah), Parshah, Pentateuch (Chumash), Physics, Quantum Theory, Spirituality, Superposition, Uncategorized, Uncertainty Principle|2 Comments

Cosmic Symphony

Cosmic Symphony

Strings vibrate, Souls tremble, Angels are running and returning, G‑d is touching and not touching – The rhythms of the universe… Nothing stays still… all is in flux. The inexorable flow of time is synonymous with the existence itself. Indeed, everything exists in time. However, from where does the time come? This is, perhaps, the greatest mystery of science. In modern physics, we do not know what time is, let alone from where it comes. We only know how to measure it – by counting the number of periodic intervals, which we accept as a unit of time. For example, in antiquity, people used a night-day cycle as the basic unit of time. This cycle was born out of observations of the apparent rotation of the sun around the earth (although, in reality, [...]

By Alexander Poltorak|2021-12-15T20:45:38-05:00October 30th, 2019|Bereishit, Creation, Deuteronomy, Devarim, Ezekiel, Genesis, G‑d, Soul, Spirituality, String Theory, Time, Uncategorized|1 Comment