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Shemini,Phase Space,Hamiltonian Mechanics: Kabbalah and Physics of Seven and Eight

By Alexander Poltorak Abstract The Torah portion of Shemini records the climactic eighth day of the Tabernacle’s dedication, the moment when divine fire finally descends. Classical commentators see in the contrast between the first seven days and the eighth the difference between the natural and the supra‑natural. This essay revisits that symbolism from the standpoint of contemporary physics. First, it reassesses the traditional link between seven and the “natural order.” Second, it proposes that the six spatial–momentum coordinates of classical phase space, together with time, provide a more precise physical analogue for the seven midot than the usual six directions of space plus a temporal axis. Finally, it explores an unexpected resonance between the Hamiltonian action integral and the Tetragrammaton, suggesting that the principle of stationary action mirrors the scriptural affirmation, “For I Y‑H‑W‑H do [...]

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 second day of Passover (the first day of the barley harvest in the land of Israel, when the wave-offering of the omer, i.e., “sheaf,” of ripe barley was made in the Jerusalem Temple) and finish on the eve of Shavuot—the day when two loaves of bread made of wheat were offered at the Temple. There are exactly seven weeks (forty-nine days) between these two holidays; we are commanded to count the weeks and the days. These forty-nine days are called days of Sefirat HaOmer (the days of “counting the Omer”) or, simply, days of Sefirah ("counting"). This commandment is given in the following verses of the Torah: And [...]

Menorah

Speak unto Aaron, and say unto him: "When thou lightest the lamps, the seven lamps shall give light in front of the menorah." (Num. 8:1) In the Torah portion Behaalotecha (Num. 8:1), Aaron is commanded to light the Menorah so that three light on the right and three lights on the left are directed towards the middle light. On the first blush, it appears to be a very strange commandment. Why would lights on the right and on the left need to be directed towards the center light? What is the significance of that? It seems to me that this unusual arrangement hints at fundamental structure of our world. Sefer Yetzirah states that this world is created in three domains – Olam (“World” – meaning space), Shanah (“Year” – meaning time) and Nefesh (“Soul” [...]

Body Chemistry

Reading the Torah, sometimes, can give a false impression of reading a story, albeit the greatest story ever written. This Divine drama involves colorful characters, sophisticated plots, jealousy, sibling rivalry, deception, struggle, suffering, and every human emotion. The profound insight brought to light by the Kabbalah—the esoteric interpretation of Torah—was the realization that the human drama played out by Biblical characters is also a mashal—a metaphor or an allegory—that alludes to spiritual forces interacting in higher worlds. Actually, from the point of view of Jewish mysticism, whatever happens down here, first takes place in the spiritual worlds and only later[1] manifests itself in the physical realm. Every Biblical hero, from the point of view of the Kabbalah, is an embodiment and personification of a supernal spiritual archetype. Thus, physical Abraham, in the Kabbalah mysticism, is [...]

By |2020-11-27T10:24:10-05:00November 11th, 2013|Atomic Theory, Parshah, Uncategorized, Vayetze|1 Comment

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