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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 |2023-09-14T22:38:28-04:00September 10th, 2023|G‑d, Kabbalah, Mathematics, Mathematics, Physics, Principle of Least Action, Science, Sefirot, Teleology, Time, Tzimtzum, Uncategorized|0 Comments
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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 |2023-06-28T14:27:41-04:00May 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
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Sefirat HaOmer—A Study in Klal u’Prat

The forty-nine days between Passover and Shavuot are called the days of Sefira or the days of counting Omer—Sefirat HaOmer—when Jews count every day as the first day of the omer, the second day of the omer, and so on until on the Eve of Shavuot, when the last, forty-ninth day is counted. . . . And ye shall count unto you from the morrow after the day of rest, from the day that ye brought the Omer of the waving; seven weeks shall there be complete.Leviticus 23:21 Seven weeks shalt thou number unto thee; from the time the sickle is first put to the standing corn shalt thou begin to number seven weeks.Deuteronomy 16:9 This period is marked by semi-mourning with observance of such customs as avoiding haircuts, not shaving, not celebrating [...]

By |2022-05-27T19:33:27-04:00May 27th, 2022|Holidays (Yomim Tovim), Husband and wife, Kabbalah, Klal and Prat, Omer, Passover (Pesach), Sefirot, Shavuot, Uncategorized|2 Comments
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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 |2021-12-31T15:00:28-05:00November 5th, 2021|Ezekiel, Kabbalah, Names of G‑d, Sefirot, Soul, Spirituality, Uncategorized|2 Comments
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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 |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
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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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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 |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
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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 |2020-01-29T18:57:59-05:00January 16th, 2020|Bereishit, Bereshit, Cosmology, Creation, Genesis, Kabbalah, Parshah, Pentateuch (Chumash), Relativity, Sefirot, Sefirot, Uncategorized|2 Comments
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