Wavefunction

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

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

Cartesian Dualism, Kabbalah, and Quantum Mechanics

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 Alexander Poltorak|2023-01-22T00:12:47-05:00January 22nd, 2023|Kabbalah, Philosophy, Quantum Theory, Soul, Spirituality, Uncategorized, Wavefunction|2 Comments

The Flood—a Quantum Metaphor

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 Alexander Poltorak|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

Collapse and Revelation

Collapse and Revelation

The collapse of the wave function is the process of revealing hidden possibilities. Reducing uncertainty reveals information. Until the wave function collapse, the system is in an uncertain state—the state of superposition. The measurement that causes the collapse of the wave function eliminates this uncertainty revealing the state of the system. The collapse occurs as the result of an experiment or observation. It is the discovery of the state of the system. The process of discovery—revelation—in the terminology of Kabbalah—is the process of revealing Alma d’Isgalya (Revealed World) from Alma d’Iskasya (Hidden World). This is why the splitting of the sea can be seen as an allegory of the collapse of the wave function.

By Alexander Poltorak|2024-01-25T22:44:15-05:00January 29th, 2021|Beshalach, Collapse of the wavefunction, Exodus (Shemot), Kabbalah, Passover (Pesach), Pentateuch (Chumash), Quantum Theory, Sefirot, Superposition, Uncategorized, Wavefunction, Zohar|4 Comments

The Akeida — The Binding of Isaac

The Akeida — The Binding of Isaac

And He said: “Take now thy son, thine only son, whom thou lovest, even Isaac, and get thee into the land of Moriah; and offer him there for a burnt-offering upon one of the mountains which I will tell thee of.” (Genesis 22:2) The Akeida (the Binding of Isaac) is one of the most enigmatic and troubling stories of the Bible. Its utmost importance is underscored by its inclusion in the daily morning prayers and its central role in the Rosh Hashanah services.[1] In summary, G‑d commands Abraham to sacrifice his son, Isaac, in the land of Moriah. Abraham hurries to fulfill the command and travels with Isaac to Mount Moriah, where he builds an altar, binds Isaac, and raises a knife, ready to sacrifice Isaac. At the last moment, an angel [...]

By Alexander Poltorak|2020-11-07T21:37:38-05:00November 6th, 2020|Entanglement, Ezekiel, Genesis, Parshah, Pentateuch (Chumash), Uncategorized, Vayeira, Wavefunction|1 Comment

Noah’s Ark—Three Layers of Reality

Noah’s Ark—Three Layers of Reality

A light shalt thou make to the ark…with lower, second, and third stories shalt thou make it. (Genesis 6:16) We mentioned in the previous posts that Noah’s ark was a microcosm.[1] As we discussed in the previous post, “Noah’s Ark—Three Layers of Being Human,” most structural parallels related to Noah’s ark are based on its tripartite structure —that is, its having three tiers. In Chasidic thought, the three levels of Noah’s ark correspond to three worlds of BiYA—Beriyah (the World of Creation), Yetzirah (the World of Formation), and Asiyah (the World of Action). In this essay, we will investigate how the tripartite structure of Noah’s ark is reflected in the structure of reality. We might say that the totality of existence comprises three layers—physical, informational, and spiritual. The classification of reality into three [...]

By Alexander Poltorak|2024-06-23T21:53:15-04:00October 28th, 2020|Age of the Universe, Bereshit, Collapse of the wavefunction, Fractals, Genesis, Kabbalah, Mathematics, Mathematics, Noach, Parshah, Pentateuch (Chumash), Physics, Sefirot, Space, Spirituality, String Theory, Superposition, Time, Uncategorized, Wavefunction|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

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

Wigner’s Friend Receives a Death Threat

It is related that on the day that Rabbi Yehuda HaNasi died, the Sages decreed a fast, and begged for divine mercy so that he would not die. And they said: Anyone who says that Rabbi Yehuda HaNasi has died will be stabbed with a sword. (Talmud, tr. Ketubot 104a) We find an interesting example of the Wigner’s Friend paradox in the Gemara quoted above. The Gemara discusses the circumstances surrounding the death of Rabbi Yehuda HaNasi (Juda the Prince, knows simply as the Rebbi), one of the greatest sages of Israel, who compiled Oral Torah in the Mishnah. Why did the Sages issued a death threat to “anyone who says that Rabbi has died” promising that he “will be stabbed with a sword”? The medieval Talmudist Rabbi Bezalel Ashkenazi (1520-1592), in [...]

By Alexander Poltorak|2023-03-23T18:17:23-04:00March 19th, 2020|Bayesian probability, Collapse of the wavefunction, Physics, Quantum Theory, Relativity, Superposition, Uncategorized, Wavefunction|2 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

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

Fitting Pieces of the Puzzle Together

Fitting Pieces of the Puzzle Together

Meditations on the Maaseh Merkavah – IV This is the fourth and the final installment in the series of posts related to Ezekiel’s prophesy, Ma’aseh Merkava, “The Making of the Chariot.” For background information, refer to the previous posts, “Space – Between Future and Past,” “Relational Space,” and “Collapse of the Wave Function.” Regular readers of my blog may be wondering about my last post “Futurist Interpretation of Quantum Mechanics,” which was about my new interpretation of quantum mechanics. This is not a physics blog, however; the Quantum Torah blog is about Torah and physics (or, more broadly, Torah and science). What did the last post have to do with Torah? Hopefully, it will all now become clear. Last Shavuot I had a very unusual experience. Sitting in shul listening to the reading [...]

By Alexander Poltorak|2019-06-21T13:21:11-04:00June 21st, 2019|Collapse of the wavefunction, Ezekiel, Freedom, G‑d, Holidays (Yomim Tovim), Kabbalah, Names of G‑d, Physics, Quantum Theory, Relativity, Science, Sefirot, Shavuot, Spirituality, Superposition, Time, Topology, Uncategorized, Wavefunction|2 Comments

Futurist Interpretation of Quantum Mechanics

(A popular summary of the paper “Towards Futuristic Interpretation of Quantum Mechanics” by Alexander Poltorak being currently prepared for publication) Quantum mechanics (QM) is one of the most successful theories of physics that withstood the test of time. Indeed, it is one of the best-tested theories known to science. Yet, we hardly advanced in our understanding of the meaning of QM since its inception almost a century ago. The indeterministic nature of the theory puts it at odds with both classical physics and our intuition, and continues to perplex physicists and philosophers of science today as it perplexed Einstein, who famously said, “G‑d does not play dice with the universe!” Superposition and entanglement seem to defy common sense and, yet, they have been confirmed experimentally time and again. The phenomenon known as the [...]

By Alexander Poltorak|2019-06-21T07:41:52-04:00June 19th, 2019|Collapse of the wavefunction, Physics, Quantum Theory, Randomness, Relativity, Science, Superposition, Time, Uncategorized, Wavefunction|5 Comments

Collapse of the Wave Function

Collapse of the Wave Function

Meditations on the Maaseh Merkavah – III This is the third installment in the series of posts related to the Ezekiel’s prophesy, Maaseh Merkava, “The Making of the Chariot.” For background information, the reader is referred to my previous posts, “Space – Between Future and Past” and “ Relational Space.” As I wrote in the first post, “Space – Between Future and Past,” Sefirot line up against four letters of Tetragrammaton, Y‑H‑W‑H, as follows: Yud י Chokhmah, Abba Heh ה Binah, Imma Waw ו Six Lower Sephirot (Z”A) Heh ה Malchut The first two letters of the proper name of G‑d, Y‑H‑W‑H – Havayah, or Tetragrammaton – are י “Yud” (sometimes transliterated as "Yod") and ה “Heh” (sometimes transliterated as "Hey" or "He"). During the reading of the Ezekiel’s prophesy Maaseh Merkava [...]

By Alexander Poltorak|2019-06-19T03:41:47-04:00June 18th, 2019|Collapse of the wavefunction, Ezekiel, Holidays (Yomim Tovim), Kabbalah, Names of G‑d, Physics, Quantum Theory, Sefirot, Shavuot, Uncategorized, Wavefunction, Zohar|2 Comments

The Entangled Tenth

The Entangled Tenth

And all the tithe of the herd or the flock, whatsoever passeth under the rod, the tenth shall be holy unto the Lord.” (Leviticus 27:32) This Shabbat, I was called up to the Torah for the last aliyah (lit. “ascent”, meaning the reading from the Scroll) of the book of Leviticus. This portion talks about tithing animals, giving the precise procedure for doing so – every animal is released from a pen one by one while being counted – one, two, three, … , ten. The tenth animal is touch by the rode and consecrated as the ma’aser – tithe. The Torah states that every tenth animal is holy unto G‑d. What is the state of the animals before counting? They have two possible states: (1) chulin, i.e., “not sacred” and (2) ma’aser, [...]

By Alexander Poltorak|2019-06-02T11:37:10-04:00June 2nd, 2019|Bechukotai, Collapse of the wavefunction, Entanglement, Leviticus, Parshah, Pentateuch (Chumash), Physics, Quantum Theory, Sefirot, Superposition, Uncategorized, Wavefunction|0 Comments