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About Alexander Poltorak

Alexander Poltorak was trained as a theoretical physicist in Russia. A physicist and brain researcher, he held academic positions at various colleges and universities serving as an Assistant Professor of Biomathematics at Cornell University Medical College, as an Assistant Professor of Physics at Touro College, as an Adjunct Professor of Physics at the City College of New York. He guest-lectured at Columbia University School of Engineering and Business School. Presently, he is the Founder & President of NeuroLight, Inc. and a Research Fellow at the Institute for Ultrafast Spectroscopy and Lasers. Alex Poltorak authored several books, research papers, and many articles. He blogs about physics, kabbalah and Jewish philosophy.
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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. Rather, it is the time to bury the dead and to mourn. It is the time to comfort families of the deceased. it is the time to pray that those who survive may fully recover. However, the tragic irony of this disaster is that it happened to the devout who came to the kever (burial place) of Rabbi Shimon bar Yochai, known as the Rashbi, the second-century tana, to pray for miracles. It happened on Lag BaOmer—the day of the Rashbi's passing, a day believed to be an auspicious one to pray for miracles. How does one explain to children that people who came to the tomb of [...]

By |2021-05-02T16:40:10-04:00April 30th, 2021|Uncategorized|0 Comments
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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.

By |2021-03-14T22:21:57-04:00March 14th, 2021|Parshah, Sefirot, Shemot, Space, Terumah, Time, Uncategorized, Vayakhel|2 Comments
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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 |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
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Egyptian Exile as a Metaphor for Compactification in String Theory

And they made their lives bitter with hard service, in mortar and in brick…Exodus 1:14 On a literal level, the Egyptian exile (Galut Mitzrayim) is a story of the Jewish people’s enslavement in ancient Egypt, where they were forced to do hard labor making mortar and bricks, and building cities for the Pharaoh. On a deeper level, it is axiomatic in Jewish mysticism that suffering is usually a means to purify and rectify a sinner’s soul in this or past incarnation. It is also axiomatic that any sin damages the sinner’s soul and some supernal spiritual levels that obstruct the flow of the divine benefice into the world, impeding the blessing and, therefore, causing suffering to the sinner. Technically, it works as follows. When a sin committed below causes damage above, the resulting [...]

By |2021-01-11T22:54:15-05:00January 11th, 2021|Exodus (Shemot), Kabbalah, Mathematics, Mathematics, Parshah, Pentateuch (Chumash), Physics, Reincarnation, Sefirot, Shemot, Shemot, Spirituality, String Theory, Topology, Uncategorized|0 Comments
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Jacob in a State of Superposition

And when Jacob made an end of charging his sons, he gathered up his feet into the bed, and expired, and was gathered unto his people. And Joseph fell upon his father’s face, and wept upon him, and kissed him. And Joseph commanded his servants the physicians to embalm his father. And the physicians embalmed Israel. . . . And his sons carried him into the land of Canaan, and buried him in the cave of the field of Machpelah, which Abraham bought with the field, for a possession of a burying-place, of Ephron the Hittite, in front of Mamre. (Genesis 49:33–50:13)Rabbi Yitzchak said to Rav Nachman: “So said Rabbi Yochanan: Our father Jacob did not die.” Asked Rav Nachman: “Was it for no reason that the eulogizers eulogized, the embalmers embalmed and [...]

By |2021-01-05T14:57:59-05:00December 31st, 2020|Uncategorized|2 Comments
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Joseph’s Birth—A View From Quantum Mechanics and Biology

And afterwards she bore a daughter, and called her name Dinah. (Genesis 30:21) In my previous essay, “The Conflict Between Joseph And His Brothers—A Gender Theory,” I suggested that Joseph exhibited some proclivity to feminine behavior in his youth. This impression can be naturally inferred from the verses and supported by traditions in Kabbalah related to Isaac, Joseph, and Benjamin, as we discussed in that essay. To be sure, Joseph outgrew his feminine tendencies (perhaps assisted by the tough love shown to him by his brothers). He matured into a man who was not only a husband, a father, and the de facto ruler of Egypt, but an archetype of masculinity and a paradigm of piety, for which he earned the designation of Joseph, the Righteous (Yosef HaTzadik). Moreover, spiritually, Joseph personified Yesod [...]

By |2020-12-24T20:42:06-05:00December 23rd, 2020|Bereshit, Biology, Collapse of the wavefunction, Entanglement, Genesis, Miketz, Parshah, Pentateuch (Chumash), Physics, Quantum Theory, Science, Superposition, Uncategorized, Vayeshev, Vayigash|0 Comments
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The Conflict Between Joseph And His Brothers—A Gender Theory

The confrontation between Joseph and his brothers is one of the most troubling stories of the Bible. Joseph and his brother—twelve sons of Jacob—were the progenitors of the twelve tribes of Israel. They are described as tzadikim (the righteous and pious men) and prophets. However, as we read in the Torah portion Vayeshev, we are told that brothers hated Joseph: And when his brethren saw that their father loved him more than all his brethren, they hated him, and could not speak peaceably unto him. (Genesis 37:3) And Joseph dreamed a dream, and he told it to his brethren; and they hated him yet the more. (Genesis 37:5) And his brethren envied him… (Genesis 37:11) The brothers intended to kill Joseph: And they said one to another: ‘Behold, this dreamer cometh. Come now [...]

By |2020-12-24T20:54:24-05:00December 20th, 2020|Bereshit, Genesis, Kabbalah, Miketz, Names of G‑d, Parshah, Pentateuch (Chumash), Sefirot, Soul, Tanakh, Uncategorized, Vayeshev|11 Comments
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Jacob’s Struggle With a Man: A Metaphor From Neuroscience

So the present passed over before him; and he himself lodged that night in the camp. And he rose up that night, and took his two wives, and his two handmaids, and his eleven children, and passed over the ford of the Jabbok. And he took them, and sent them over the stream, and sent over that which he had. And Jacob was left alone; and there wrestled a man with him until the breaking of the day. And when he saw that he prevailed not against him, he touched the hollow of his thigh; and the hollow of Jacob’s thigh was strained, as he wrestled with him. And he said: “Let me go, for the day breaketh.” (Genesis 32:23–26)   The story of Jacob wrestling with a “man” is yet another of [...]

By |2020-12-07T17:30:25-05:00December 4th, 2020|Bereshit, Biology, Dreams, Genesis, Neuroscience, Parshah, Pentateuch (Chumash), Science, Uncategorized, Vayishlach|0 Comments
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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 Shelah HaKadosh)[1] famously says that the Torah speaks to the upper worlds and hints at the lower worlds. That means that the primary subject of the Torah narrative has to do with the dynamics of the spiritual worlds while only hinting at the historical narrative that appears to be the meaning of the biblical text. It is not surprising because what happens down here reflects what happens up there—in the spiritual spheres. However, the historical narrative is not necessarily the only reflection of the higher reality. We may see how the same or similar dynamic is reflected in natural laws. This Torah portion introduces us to two daughters [...]

By |2022-12-16T00:14:50-05:00November 29th, 2020|Bereshit, Genesis, Kabbalah, Parshah, Pentateuch (Chumash), Physics, Relativity, Science, Sefirot, Uncategorized, Vayetze|4 Comments
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Jacob and Esau—Thermodynamics of Order and Chaos

And these are the chronicles of Isaac… (Genesis 25:19) So Esau went unto Ishmael, and took unto the wives that he had Mahalath the daughter of Ishmael Abraham’s son, the sister of Nebaioth, to be his wife. (Genesis 28:9)   This Torah portion is called Toledot. In Hebrew, toledot means “generations” or “chronicles.” Indeed, this Torah portion starts with the phrase, “These are the chronicles of Isaac.” This is not the first or the last time this word appears in Tanakh (the Hebrew Scriptures). It appears for the first time in the opening verse of chapter 2 of Genesis: 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 time it appears in [...]

By |2020-11-24T11:50:04-05:00November 23rd, 2020|Bereshit, Creation, Exodus (Shemot), Parshah, Pentateuch (Chumash), Physics, Superposition, Symmetry, Thermodynamics, Time, Toledot, Uncategorized|2 Comments
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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 savoury food, that I may eat, and bless thee before the Eternal before my death. Now, therefore, my son, hearken to my voice according to that which I command thee. Go now to the flock, and fetch me from thence two good kids of the goats; and I will make them savoury food for thy father, such as he loveth; and thou shalt bring it to thy father, that he may eat, so that he may bless thee before his death.” And Jacob said to Rebekah his mother: “Behold, Esau my brother is a hairy man, and I am a smooth man. My father peradventure will feel me, [...]

By |2020-11-24T22:04:03-05:00November 22nd, 2020|Bereshit, Collapse of the wavefunction, Entanglement, Genesis, Parshah, Pentateuch (Chumash), Quantum Theory, Symmetry, Toledot, Uncategorized|0 Comments
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Keturah and Hagar III—A Metaphor for Unification

And Abraham took another wife, and her name was Keturah. (Genesis 25:1) Keturah: This is Hagar. She was called Keturah because her deeds were as pleasant as keturah (incense). (Genesis Rabbah 61:5) Keturah is Hagar. (Zohar 133)   As we discussed earlier, Abraham had a concubine, Hagar. Later in life, after the passing of Sarah, Abraham took another wife whose name was Keturah. Midrash, the Zohar, Rashi, and other commentators state that Keturah is Hagar. To distill this situation to its essence, we have here two seemingly distinct individuals who, in the view of at least some biblical commentators, are one and the same person. To any physicist, this narrative bespeaks a unification. Indeed, this situation is analogous to the unification tendency in theoretical physics, where different fundamental interactions are unified into one. [...]

By |2020-11-19T23:08:20-05:00November 15th, 2020|Bereshit, Chayei Sarah, Genesis, Kabbalah, Parshah, Pentateuch (Chumash), Physics, Quantum Field Theory, Standard Model, Uncategorized, Zohar|1 Comment
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Hagar and Keturah II—Exegetical Parsimony and Structuralism

And Abraham took another wife, and her name was Keturah. (Genesis 25:1)   The Written Torah (Torah shebi-Khtav) tells us only that Abraham took another wife, and her name was Keturah. The oral Torah (Torah shebeal-Peh) provides more details. The midrash Genesis Rabbah quotes Rabbi Judah the Prince arguing that Keturah was none other than Hagar, who returned to Abraham and was renamed: Keturah: This is Hagar. She was called Keturah because her deeds were as pleasant as keturah (incense), and because she remained chaste (katrah, from the Aramaic for “restrained”) and did not consort with another man from the day she separated from Abraham. (Genesis Rabbah 61:5) The Western Targumim,[1] Zohar, Rashi, and Maharal[2] take the same position, citing this midrash in their commentaries on this verse (Genesis 25:1). Other classical commentators, such as [...]

By |2020-11-15T22:42:07-05:00November 13th, 2020|Uncategorized|0 Comments
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Keturah—an Allegory of Entanglement

And Abraham took another wife, and her name was Keturah (Genesis 25:1)   As I discussed in the earlier essay, “Yom Kippur – Disentangling the Entangled,” Adam and Eve were entangled. They were not unique in this. I wrote in several essays that every married couple is entangled.[1] How do we know that? Adam and Eve were created as one unit—“Male and female He created them”—as conjoint (Siamese) twins. Although G‑d separated Eve from Adam, they remained entangled, just as two particles born from the decay of another particle remain entangled even after their separation. Thus, Adam and Eve’s entanglement cannot be proof that all married couples are entangled. However, the Torah states so explicitly: Therefore shall a man leave his father and his mother, and shall cleave unto his wife, and they [...]

By |2020-11-12T15:27:17-05:00November 12th, 2020|Bereshit, Chayei Sarah, Entanglement, Genesis, Husband and wife, Parshah, Pentateuch (Chumash), Uncategorized|0 Comments
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The Circumcision—The Interference of Parallel Universes

This is My covenant, which ye shall keep, between Me and you and thy seed after thee: every male among you shall be circumcised. And ye shall be circumcised in the flesh of your foreskin; and it shall be a token of a covenant betwixt Me and you. And he that is eight days old shall be circumcised among you, every male throughout your generations. . . . and My covenant shall be in your flesh for an everlasting covenant. (Genesis 17:10–3)   Sages tell us that Abraham and other patriarchs knew the Torah prophetically before it was given to the Jewish people on Mount Sinai some 364 years after the Akeida took place.[1] Moreover, sages tell us that Abraham “observed” all of the Torah commandments. However, Abraham’s observance of the Torah commandments [...]

By |2020-11-10T10:27:14-05:00November 9th, 2020|Bereshit, Genesis, parallel universes, Pentateuch (Chumash), Uncategorized, Vayeira|2 Comments
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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 spirits of Heisenberg, Bohr, and Bohr’s wife, Margrethe, come together in the afterlife to answer Margrethe’s question, “Why did Heisenberg come to Copenhagen?” Bohr and Heisenberg worked closely together in Copenhagen in the 1920s while developing atomic physics, resulting in the formulation of quantum mechanics. Bohr was already an accomplished scientist when the young German Heisenberg joined his group, and Bohr began mentoring him. Heisenberg became one of the leading figures in formulating the new quantum mechanics. Later, Heisenberg joined the group of German physicists developing nuclear weapons for Nazi Germany. Why did Heisenberg return to Copenhagen in 1941? Denmark was at that time already occupied by Germany. [...]

By |2020-11-08T19:59:10-05:00November 8th, 2020|Atomic Theory, Bereshit, Genesis, Kabbalah, Parshah, Pentateuch (Chumash), Quantum Theory, Reincarnation, Soul, Uncategorized, Uncertainty Principle, Vayeira, Zohar|8 Comments
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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 |2020-11-07T21:37:38-05:00November 6th, 2020|Entanglement, Ezekiel, Genesis, Parshah, Pentateuch (Chumash), Uncategorized, Vayeira, Wavefunction|1 Comment
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Abraham and Lot—A Story of Decoherence

So Abram went, as the Eternal had spoken unto him; and Lot went with him… And Abram took Sarai his wife, and Lot his brother’s son… (Genesis 12:4-5) And Abram went up out of Egypt, he, and his wife, and all that he had, and Lot with him, into the South. (Genesis 13:1) And Lot also, who went with Abram, had flocks, and herds, and tents. And the land was not able to bear them, that they might dwell together; for their substance was great, so that they could not dwell together. And there was a strife between the herdmen of Abram’s cattle and the herdmen of Lot’s cattle. And the Canaanite and the Perizzite dwelt then in the land. And Abram said unto Lot: ‘Let there be no strife, I pray thee, [...]

By |2020-11-09T20:53:35-05:00October 30th, 2020|Lech-Lecha, Uncategorized|0 Comments
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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 |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
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Noah’s Ark—Three Layers of Being Human

A light shalt thou make to the ark, and to a cubit shalt thou finish it upward; and the door of the ark shalt thou set in the side thereof; with lower, second, and third stories shalt thou make it. (Genesis 6:16)   As mentioned in the previous post, “The Noah’s Ark—A Model of a Living Cell,” Noah’s ark was a microcosm. Structural parallels have been drawn between Noah’s ark and the Holy Temple in Jerusalem (Bet HaMikdash), Tabernacle (Mishkan) (each of these sanctuaries is also called microcosm in its own right), and Mount Sinai—all based on the parallel between three levels of Noah’s ark, on the one hand, and three levels of the sanctity of various areas in the sanctuaries and Mount Sinai, on the other. In the previous chapter, we investigated [...]

By |2020-10-25T19:22:21-04:00October 23rd, 2020|Genesis, Noach, Parshah, Pentateuch (Chumash), Uncategorized|1 Comment
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