atzilut

Bet HaMikdash as a Singularity in Space-time

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 Alexander Poltorak|2024-08-14T22:16:33-04:00August 14th, 2024|Big Bang, Cosmology, Physics, Sefirot, Singularity, Tisha B'Av, Uncategorized, Zohar|1 Comment

Principle of Least Action III — History

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 Alexander Poltorak|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

Metaphysics of Time in the Eyes of Philosophy and Kabbalah

A-Series and B-Series as Zman and Seder HaZmanim McTaggart’s series A and series B are two conceptual frameworks proposed by the philosopher J.M.E. McTaggart[1] to analyze the nature of time and its relationship to temporal properties such as past, present, and future. J. M. E. McTaggart, by Walter Stoneman, 1917 In McTaggart’s series A, also known as the “A-series” or the “temporal series,” time is understood in terms of the temporal properties of past, present, and future. The A-series categorizes events based on their temporal relations, such as past, present, and future, which are considered essential aspects of events. The A-series views time as a succession of moments where events move from the future, through the present, and into the past. It emphasizes the dynamic and changing nature of time, with events shifting their [...]

By Alexander Poltorak|2023-07-24T10:13:23-04:00July 21st, 2023|Time, Uncategorized|1 Comment

The Standard Model

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 Alexander Poltorak|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

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

What is a Soul? III. The Many Souls of Man

What is a Soul? III. The Many Souls of Man

…[H]e who tries to cure the soul, wishing to improve the moral qualities, must have a knowledge of the soul in its totality and its parts…Maimonides[1] Maimonides opens his introduction to The Ethics of the Fathers with this statement: Know that the human soul is one, but that it has many diversified activities. Some of these activities have, indeed, been called souls, which has given rise to the opinion that man has many souls, as was the belief of the physicians, with the result that the most distinguished of them states in the introduction of his book that there are three souls, the physical, the vital, and the psychical.[2] While Maimonides lists three souls—the physical (tiv’it), the vital (chiyunit), and the psychical (nefoshit)—he believes them to be aspects of one soul—“Know that [...]

By Alexander Poltorak|2022-01-25T15:40:55-05:00December 15th, 2021|Kabbalah, Neuroscience, Reincarnation, Soul, Spirituality, Uncategorized|0 Comments

What Is a Soul? II. Anatomy of the Soul

What Is a Soul? II. Anatomy of the Soul

In the biblical story of the creation of Adam, the Torah states: Then the Eternal G‑d formed man of the dust of the ground, and breathed into his nostrils the breath of life; and man became a living soul.Genesis 2:7 The word translated into English as “soul” in the original Hebrew is nefesh. This is the first and the lowest level of the soul given to Adam. The taxonomy and anatomy of a soul in Judaism are quite complex. Original biblical sources speak of three levels of the soul: nefesh (“soul”), ru’ach (“spirit”),[1] and neshamah (“breath”).[2] The Kabbalah speaks of the five levels of the soul: nefesh, ru’ach, neshamah, chayah, and yechidah. This is based on classical rabbinic sources. As stated in the midrash, “By five names is the soul called: nefesh, ru’ach, [...]

By Alexander Poltorak|2021-12-31T15:00:28-05:00November 5th, 2021|Ezekiel, Kabbalah, Names of G‑d, Sefirot, Soul, Spirituality, Uncategorized|2 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

Jacob and Esau—Thermodynamics of Order and Chaos

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 Alexander Poltorak|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

The Surrounding Light and the Penetrating Light

The Surrounding Light and the Penetrating Light

The Torah portion Vayakhel deals with the construction of the Mishkan, i.e., the “Tabernacle.” In Kabbalah, the Mishkan is viewed as a microcosm that represents a miniature model of the entire universe—both physical and spiritual. The Mishkan was comprised primarily of two categories of objects. The first category included the coverings that made up the roof and the walls surrounding the Mishkan. The second category included kelim—the objects inside the Mishkan. This is not the first time the description of the coverings and kelim appear in the Torah. In the Torah portion Teruma, G‑d gives Moses detailed instructions for the construction of the Mishkan. Interestingly, in Teruma, G‑d first speaks of the kelim and then of the coverings, whereas in Vayakhel, when Moses instructs the Jewish people, he reverses the order and first [...]

By Alexander Poltorak|2020-03-24T11:13:40-04:00March 23rd, 2020|Exodus (Shemot), Kabbalah, Parshah, Pentateuch (Chumash), Physics, Sefirot, Shemot, Uncategorized, Vayakhel, Zohar|2 Comments

Sukkot — Bringing Time into Space

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), and branches of the willow tree (aravot)—and wave them in all six directions (na’anuim) while holding the species together. The precise movements involve bringing the bunch to one’s heart, then moving them to and fro in all six directions, three in each direction, every time returning the bunch to the heart. A strange sight indeed… what could it possibly mean? I’ve written before that Sukkot has to do with bringing holiness into time and space. The seven days of dwelling in the sukkah-booth (a.k.a. tabernacle) is related to the most important cycle of time – 7: there are seven days in a week, seven years in a Sabbatical cycle (shemita), seven [...]

By Alexander Poltorak|2023-10-04T19:50:48-04:00October 18th, 2019|Sefirot, Space, Sukkot, Sukkot, Time, Uncategorized|3 Comments

Space – Between Future and Past

Space – Between Future and Past

Meditations on the Maaseh Merkavah – I We do science by studying nature. We study physics in a lab, peering into space or working out mathematical models with pencil and paper to see if they fit experimental data. However, great mystics of the past were able to see how this world operates by gazing into spiritual worlds above. On Shavuot, the holiday when we celebrate the revelation on Mount Sinai, we read the prophecy of Ezekiel (the First Vision of Ezekiel) called Maaseh Merkavah (or Ma'aseh Merkabah)—Work of the Chariot. Masters of Kabbalah have taught us that understanding the Work of the Chariot gives the initiated an understanding of the works of nature. This Shavuot, studying and thinking about Maaseh Merkavah, I came to understand some profound insights about the physics of space [...]

By Alexander Poltorak|2024-06-09T17:14:43-04:00June 13th, 2019|Ezekiel, Fractals, G‑d, Holidays (Yomim Tovim), Kabbalah, Names of G‑d, Physics, Relativity, Science, Sefirot, Sefirot, Shavuot, Space, Spirituality, Tanakh, Time, Topology, Uncategorized|7 Comments

Ten Sephirot and Special Relativity

Ten Sephirot and Special Relativity

The Special Theory of Relativity, published by Albert Einstein in 1905, was a game changer. It ushered the era of new physics dubbed by some as the “Jewish physics.” And Jewish physics it was. At the core of Special Relativity is the notion of the relativity of motion – all motion is not absolute, as Newton thought, but is relative to something else, to a particular point of view. In physics, we define a point of view as a frame of reference. If you are standing in a moving train, leaving the railroad platform, in your frame of reference (which is always at rest) the train is at rest relative to your frame of reference. The railroad platform, on the other hand, is moving with respect to your frame of reference. For someone [...]

By Alexander Poltorak|2019-06-05T17:55:43-04:00June 2nd, 2019|Kabbalah, Mathematics, Mathematics, Physics, Relativity, Sefirot, Sefirot, Space, Spirituality, Symmetry, Uncategorized|4 Comments

Abraham Meets Abraham From a Parallel Universe

Abraham Meets Abraham From a Parallel Universe

And he [Abraham] lifted up his eyes and looked, and, lo, three men stood over against him… (Genesis 18:2) On this blog, we often discuss the collapse of the wavefunction as the result of a measurement. This phenomenon is called the “measurement problem.” There are several reasons, for which the collapse of the wavefunction—part and parcel of the Copenhagen interpretation of quantum mechanics—is considered a problem. Firstly, it does not follow from the Schrödinger equation, the main equation of quantum mechanics that describes the evolution of the wavefunction in time, and is added ad hoc. Second, nobody knows how the collapse happens or how long the wave function takes to collapse. This is not even to consider that any notion that the collapse of the wavefunction is caused by human consciousness, as proposed [...]

By Alexander Poltorak|2020-11-09T20:52:37-05:00November 2nd, 2017|Bereshit, Collapse of the wavefunction, Genesis, Kabbalah, parallel universes, Parshah, Pentateuch (Chumash), Quantum Theory, Uncategorized, Vayeira, Wavefunction, Zohar|7 Comments

Five Worlds

Five Worlds

Today, Yud Shvat, is the yartzeit (anniversary of passing) of the sixth Lubavitcher Rebbe, Rabbi Yosef Yitzchak Schneersohn, a.k.a. the Rebbe Rayatz, or the Frierdiker Rebbe. On the day of his yartzeit, it is customary to study his last maamar (Chassidic discourse), Basi LeGani. One of the themes expounded in the first chapter of this discourse is the concepts of four worlds: Atzilut, Beriah, Yetzirah, and Assiyah (collectively referred to as ABYA). Actually, in Kabbala and Chassidic philosophy, we speak of five worlds and the “world,” which precedes Atzilut is call Adam Kadmon (Primordial Man, often referred to by its acronym as the A”K). In this post, I will draw a parallel between these spiritual worlds and stages of the creation of our physical world. Why do that? It is axiomatic in Jewish mysticism [...]

By Alexander Poltorak|2017-05-23T19:06:38-04:00February 6th, 2017|Collapse of the wavefunction, Creation, Kabbalah, Physics, Quantum Theory, Science, Sefirot, Sefirot, Space, Spirituality, Time, Uncategorized, Wavefunction|0 Comments

The Fifth Force – Epilog

This post is a continuation and the conclusion of the previous post, THE FIFTH FORCE. Aside from the connection with the last week’s Torah portion, Vayelech, there is also connection with and Aseret Yimei Teshuvah (Ten Days of Repentance) and Yom Kippur. When it comes to physics of fundamental forces, there are two unresolved problems: (i) unification of gravity with the other three fundamental forces (electromagnetic, strong and weak); and (ii) discovery of the fifth force. Both problems are related to repentance (teshuvah), which comes to sharp focus on the Ten Days of Repentance (Aseret Yimei Teshuvah) and Yom Kippur. Firstly, the word “teshuva” doesn’t mean “repentance”, it literally means “return” In Kabbalah tradition, the word TeShuVaH, is read as “ToShuV H” – return of the letter “heh”. It is talking about the [...]

By Alexander Poltorak|2018-10-14T16:45:57-04:00October 13th, 2016|Deuteronomy, Kabbalah, Mashiach (Messiah), Names of G‑d, Parshah, Pentateuch (Chumash), Physics, Sefirot, Soul, Uncategorized, Vayelech, Yom Kippur|5 Comments

Adam Kadmon and Holographic Universe

Adam Kadmon and Holographic Universe

Dedicated to the memory of Professor Yaakob David Bekenstein The Torah opens with the word “Bereshit” – in the Beginning – whose first letter, Bet, is written large to signify that it contains a hidden meaning. The gematriah (numerical value) of the letter Bet is 2. It has three sides – top (“roof”), bottom (“floor”) and the right “wall”: Letter Bet of Bereshit may be viewed as the “event horizon” of the Torah. In General Relativity, the event horizon is the area of spacetime beyond which information is inaccessible to an outside observer. For example, the event horizon of a black hole is the boundary surrounding every black hole that acts as information firewall – the light from within the event horizon cannot escape outside and, therefore, information is invisible to an [...]

By Alexander Poltorak|2018-10-08T21:52:53-04:00October 11th, 2015|Bereishit, Bereshit, Cosmology, Creation, Genesis, Pentateuch (Chumash), Physics, Science, Spirituality, Uncategorized|0 Comments

Creatio ex Nihilo and the Number Theory

As we began this Shabbat reading the Fourth Book of Torah—Numbers, I thought, it would be appropriate to post on this blog an excerpt from my article Creatio ex Nihilo, Number Theory, Quantum Vacuum, and the Big Bang, originally published in B’Or HaTorah (Jerusalem: 2007, No. 17, p.115). Introduction The kabbalistic principle of yesh m’ayin or creatio ex nihilo—creation of something from nothing—is difficult to fully understand because we have no experience of creating something from nothing. Although many human creative activities seem to create something new, in fact, they merely change the form or nature of things. Never do we create something from nothing. A sculptor takes a preexisting slab of marble and shapes it according to his imagination. So does a potter, who molds pottery out of clay; a glassblower, who forms liquid [...]

By Alexander Poltorak|2014-05-26T12:34:27-04:00May 25th, 2014|Bamidbar, Bamitbar, Creation, Mathematics, Numbers, Science, Uncategorized|2 Comments

Leprous Cats and Angry Birds

Leprous Cats and Angry Birds

In the Torah portion Tazriah (Leviticus 13), the Schrödinger cat[1] gets leprosy. Well, it’s not really leprosy, it’s a mysterious supernatural disease called tzara’as, nowadays translated as psoriasis. And it’s not a cat, but a Jew who gets afflicted by tzara’as. In fact, cats, other animals, and even gentiles (i.e., non-Jewish humans) are immune to this spiritual malady. So why do I call a poor Jew afflicted with tzara’as a “Schrödinger cat”? Because he sure acts like one. Indeed, had I not studied quantum mechanics and had I not learned about the collapse of the wave function[2] back at the university, I would have surely discovered it by reading this Torah portion (parshah)! A Jewish person with a skin lesion or boldness (present company excluded) is brought to a priest (kohen), who examines it [...]

By Alexander Poltorak|2024-04-12T16:53:20-04:00April 30th, 2012|Bayesian probability, Collapse of the wavefunction, Entanglement, Isaiah, Kabbalah, Metzora, Parshah, Quantum Theory, Superposition, Tazria, Tazria u’Metzora, Uncategorized, Zohar|1 Comment