Welcome to Quantum Torah® Blog

Where Qabala* meets Quanta: Torah, science, and philosophy in dialogue. Short posts and deep essays that surprise, challenge, and inspire.

Isaac’s Blessing

Stars, Sand… and Silence Abraham’s blessings sparkle with cosmic imagery—stars above, dust below. But when God blesses Isaac, the patriarch of gevurah, something extraordinary happens:

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Isaac Digging Well
Parshah Insights

Digging Wells

The third aliyah of Parshat Toldot presents a profound metaphor through Isaac’s well-digging enterprise. Isaac re-opens his father’s wells, stopped up by the Philistines; then

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Isaac sawing the field
Parshah Insights

The Hundredfold Paradox

Dwell in this land. (Genesis 26:3). In famine, with every natural instinct pointing south toward Egypt, Isaac (Yitzḥak) is told to stay. The Midrash notes

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Isaac holding torch while Ishmael walks into sunset
Atomic Theory

137 — The Coupling of Light and Matter

Chayei Sarah and the Physics of Makifim and Pnimim Synopsis This essay reveals a profound numerical convergence between Torah and quantum physics through the number

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Hagar and Ishmael in the desert
Collapse of the wavefunction

The Well That Was Always There

(Parshat Vayeira, Genesis 21:14-21) Hagar and Ishmael are dying of thirst in the desert. In her despair, Hagar places her son under a bush and

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Silhouettes with glowing Hebrew letters at sunset.
Bereshit

The Fertility of Letters

When G‑d promises great wealth to Abram, after Abram refuses the spoils of war offered by the King of Sodom, Abram retorts: What can You

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Abraham refuses all spoils from the king of Sodom
Inspirations

The Thread That Transforms

Neither from a thread to a sandal-strap, nor will I take from whatever is yours… (Genesis 14:23) After defeating five kings, Abraham (then called Abram)

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Abraham Rescues Lot
Bereshit

Loyalty Despite Separation

When Abram heard that his kinsman had been taken captive, he mustered his trained men… and went in pursuit. (Genesis 14:14) Abraham just separated from

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A man feeding animals in a dimly lit barn.
Bereshit

Dominion After Service

Two diets framed early humanity. In Eden, humans ate only plants; meat was forbidden. The Talmud teaches: Rav Yehuda says that Rav says: Meat was

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Uniformed crowd before a towering structure.
Bereshit

The Tower of Babel

Quanta of Thought | Parashat Noach The story of the Tower of Babel seems, at first glance, like a triumph of human unity. All spoke

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Abstract painting with vibrant colorful brushstrokes
Bereshit

The Rainbow That Isn’t There

Everyone marvels at the beauty of a rainbow—its perfect arc, its radiant colors. Yet, in truth, the rainbow doesn’t exist out there. The spectrum of

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The Ark Within

When the world was overwhelmed by chaos, Noaḥ found grace in the eyes of G-d (Genesis 6:8). The Zohar explains that “grace” (ḥein) is a

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Robot and human hands reaching towards each other.
Creation

The Second Adam: From Dust to Silicon

Summary This essay proposes an allegorical (remez) interpretation of Genesis 2, reading the second creation narrative as a prophetic template for humanity’s creation of artificial,

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For Myself and For That Guy

This Simchat Torah was the most joyous I have felt in years. News of the hostages’ release on the eve of the holiday lifted mountains

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The Day of Superposition

Today is Hoshana Rabbah, the last day of Chol HaMoed Sukkot. Six years ago, I wrote “Chol HaMoed—Days in Superposition,” exploring how these intermediate days

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Current Events

The Prophecy of Ha’azinu

TL;DR: Ha’azinu’s warning about a “no-people” (b’lo-am) finds chilling relevance in the modern “Palestinian” identity—a political construct created in 1964 by the KGB and Arab

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Gott’s Nomen

In many Ashkenazi communities, the day after Yom Kippur is nicknamed Gott’s Nomen, Yiddish for “G-d’s Name.” Chassidic sources associate the four days between Yom

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Ten Days of Penitence

The ten days between Rosh HaShanah and Yom Kippur are called Aseret Yemei Teshuvah (Ten Days of Penitence). As the prophet says: Seek G-d while

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Shanah Tovah!

Dear Readers and Friends, As we enter the new year, I extend to you heartfelt wishes for a שנה טובה וגמר חתימה טובה—may you and

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Curved lines and stars on a twilight sky.
Angels

Five-Hundred-Year-Journey

Alexander Poltorak Abstract This essay addresses the anigmatic statement of the Jewish Sages, stating that G-d created this world with the letter Heh and the

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Ten Systems—Ten Sefirot

… mi‑b’sari echezeh Elokah—From my flesh I behold G‑d (Job 19:26) Introduction – “In His Image” The Torah’s initial description of humanity is both profound and enigmatic:

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Korach’s Revolt: a Tale of Symmetry

Korach Revolt Korach, the proto‑egalitarian, cried: All the community are holy… so why do you exalt yourselves? (Numbers 16:3). Chassidut explains that holiness is indeed

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Did G‑d Create Mathematics?

By Alexander Poltorak “G‑d is a mathematician”Carl Friedrich Gauss I. Can We Prove that G-d created Axioms of mathematics? 1. Introduction A reader challenged me with a

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Golden ark under spotlight with cherubim figures.
Exodus (Shemot)

Eternity Between the Cherubs

By Alexander Poltorak And there I will meet with you, and I will speak with you from above the cover, from between the two cherubim

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Medieval elements diagram with fire, air, water, earth.
Bereshit

Four Classical Elements: Development and Reinterpretation

The parallels we have uncovered between the four elements, the letters of the Tetragrammaton, and the worlds of Seder Hishtalshelut suggest that the ancient sages possessed profound insights into the nature of reality that continue to resonate with modern scientific discoveries. This convergence of ancient wisdom and contemporary understanding offers a path toward a more integrated worldview, where scientific and spiritual perspectives complement rather than contradict each other.

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Illustration of sunset and night sky over landscape.
Bereishit

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.

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Kabbalah

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

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Bayesian probability

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

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Atomic Theory

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,

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Kabbalah

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

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Physics

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.

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Creation

Principle of Least Action I

The least action principle is an expression of teleological reasoning where the initial states of the system are determined by the endpoints—the beginning and the end.

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Uncategorized

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.

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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

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Biology

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

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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.

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Bamidbar

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

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Bereishit

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

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Bereshit

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

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Uncategorized

The History of Creation in Three Words

The history of Creation can be expressed in three words (not even words but mere conjunctions): “and,” “or,” and “and/or,” whereas the history of physics may be expressed in two of them: “or,” and “and/or.”

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The Captive Beauty

In the proposed allegorical interpretation, the soldier in the war is a metaphor for the Jewish people, who are all “soldiers” in G‑d’s army Tzivot Hashem, who fight the battle against evil to liberate and elevate fallen sparks from Tohu; where the beautiful woman from another nation is a metaphor for a fallen spark from another universe (Tohu), where the uncontrollable attraction the soldier feels towards the beautiful captive is a metaphor for the uncontrollable attraction a Jewish person (who is attuned to spirituality) feels towards divine sparks he is destined to redeem; where after having extracted the fallen spark from the clutches of evil, it requires a period of purification to achieve the ultimate marriage—the reintegration of the fallen spark into the domain of holiness.

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Uncategorized

The Many Secrets of Mezuzah

This week we study the Torah portion of Eikev, which we will be reading this Shabbat in synagogues. This Torah portion contains the second section

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Biology

The Temple as a Model of a Cell

Introduction Today, on Tisha B’Av—the ninth day of Av, this year commemorated on the tenth day of Av because the ninth is Shabbat, when mourning

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Uncategorized

Three Donkeys

And Abraham rose early in the morning, and saddled his ass. Geneses 22:3 And Moses took his wife and his sons, and set them upon

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Zettaflood

In the six hundredth year of Noah’s life, in the second month, on the seventeenth day of the month, on the same day were all

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Bereishit

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

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Uncategorized

The Paradox of Steven Weinberg

The world has lost one of the greatest theoretical physicists of our time—Steven Weinberg (1933–2021). I never met him in person. But I studied his

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Ball_Bearing
Creation

A Wheel Within a Wheel

Now as I beheld the Chayot [living creatures], behold one Ophan [wheel] at the bottom hard by the living creatures, at the four faces thereof. The

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Uncategorized

Lag BaOmer Tragedy

A day of joyful festivities turned into a day of tears and mourning. When tragedy strikes, it is not the time for analysis or finger-pointing.

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Mishkan
Parshah

Sanctuaries in Space and Time

We are quite familiar with space—we move freely in space back and forth; we concur space on land and beyond; we reclaim land from sea; we turn deserts into gardens; we turn desolated space into sprawling cities. We are, on the other hand, helpless in the face of time. We cannot move freely in time. We can’t move back in time. We are swept forward in the inexorable flow of time. We do not understand time; we cannot change it. We are masters of land, but not of time. It is for this reason, when G‑d instructed Moses how to build a sanctuary for Himself, He could not have started with time—we would have not the faintest idea what it meant—a sanctuary of G‑d in time—let alone how to do it. That is why G‑d started with space, instructing Moses how to build the Mishkan—a Sanctuary in space—first. Only then He commanded Moses about Shabbat.

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Beshalach

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.

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Rachel_and_Leah
Bereshit

On Rachel, Leah, and Dark Energy

Now Laban had two daughters: the name of the elder was Leah, and the name of the younger was Rachel. (Genesis 29:16) Rabbi Isaiah Horowitz (the

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Bereshit

Steering Isaac’s Blessing

And Rebekah spoke unto Jacob, her son, saying: “Behold, I heard thy father speak unto Esau thy brother, saying: Bring me venison, and make me

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Atomic Theory

Akeida in Parallel Universes

Michael Frayn’s 1998 play, Copenhagen, concerns a meeting between two great physicists, Niels Bohr and Werner Heisenberg, in 1941 in Copenhagen. In this play, the

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Bereishit

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

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Moritz_Daniel_Oppenheim_-_Shavuot_(Pentecost)
Freedom

Shavuot (in Russian)

Шавуот Праздник Дарования Торы Aлександр Полторак    Закончился праздник Песах.  Все евреи поспешно убрали пасхальную посуду в особые шкафы или на чердаки до следующего Песаха.

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Acharei Mot

The Soul is in the Blood

For the life of the flesh is in the blood.” (Leviticus 17:11) The word translated here as “life” in the Hebrew original is nefesh, i.e.,

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Fractals

Counting Weeks and Days

There is a Biblical Commandment to count the days between the Passover and Shavuot, the “Feast of Weeks” (a.k.a. Pentecost). We start counting on the

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Bereishit

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

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Bereishit

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

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Bereishit

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

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Bereshit

Stress-testing the judgment

And Abraham drew near, and said: ‘Wilt Thou indeed sweep away the righteous with the wicked? Perhaps there are fifty righteous within the city; wilt

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Bereishit

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

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Bereshit

Noah — the First Inventor

At the end of the first chapter of the Torah, Genesis (Bereshit), G‑d regrets, as it were, creating humanity that became depraved: And the Lord

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Sefirot

Sukkot — Bringing Time into Space

Jews have a very strange custom to take four species (Heb. arba’a minim)—a fruit of a citron tree (etrog), a branch of a date palm (lulav), boughs from the myrtle tree (chadassim),

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Creation

The Land We Married

And the Lord spoke unto Moses, saying: ‘Command the children of Israel, and say unto them: When ye come into the land of Canaan, this

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Bamitbar

Daughters of Zelophehad

Then drew near the daughters of Zelophehad …. of the families of Manasseh, the son of Joseph; and these are the names of his daughters:

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Collapse of the wavefunction

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

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Collapse of the wavefunction

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

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Ezekiel

Relational Space

Meditations on the Maaseh Merkavah – II This post is a sequel to my previous post, “Space – Between Future and Past.” For background information,

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Bechukotai

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)

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Eugene_Wigner
Uncategorized

Wigner’s Friend Paradox

Amicus est Socrates, magister meus, sed magis est amica veritas. “Socrates is my friend but a greater friend is truth” – Plato c. 428-348 BCE.

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Mathematics

The Puzzle of Pi

March 14 is celebrated by nerds around the world as the Pi Day. When written in digits, 3/14 represents first three digits of the number

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Quantum Torah Film Premiere

Welcome to the premiere of our first film, Quantum Torah. You can watch the film here:   Don’t forget to subscribe to my channel here:

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Collapse of the wavefunction

Quantum Torah — Film Premiere

I am excited to announce that the premiere of our film “Quantum Torah” is scheduled for this Friday, March 1st. You can see the trailer

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Creation

Vectors, Spins, and Gender

Vectors, Spins, and Gender Speak to the children of Israel, and have them take for Me an offering; from every person whose heart inspires him

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Biology

Fractal Tu B’Shevat

When thou shalt besiege a city a long time, in making war against it to take it, thou shalt not destroy the trees thereof by

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Uncategorized

About Midnight

And Moses said: “Thus saith the Lord: About midnight will I go out into the midst of Egypt; and all the first-born in the land of

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Bereshit

Jacob Meets Esau and His 400 Men

And the messengers returned to Jacob, saying: “We came to thy brother Esau, and moreover he cometh to meet thee, and four hundred men with

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Bereshit

Biblical Relativity

And the life of Sarah was one hundred years and twenty years and seven years… (Gen. 23:1) Why did Esther merit to rule over 127

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* “Qabala” spelling for Kabbalah used intentionally for the Quanta pun.