Sefer Yetzirah 1:5

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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 [...]

Physics of Tzimtzum II — Collapse of the Wave Function

In the previous post “Physics of Tzimtzum I—The Quantum Leap”, we gave a general overview of the mystical doctrine of tzimtzum—the cornerstone of Lurianic Kabbalah. It is time to get into the details. The first phrase that describes the process of tzimtzum in Etz Chaim states: Ein Sof “contracted” (tzimtzem) Himself in the point at the center, in the very center of Ohr Ein Sof. This sentence raises several difficult questions: First, what could it possibly mean that the Infinite (Ein Sof) “contracted” (tzimtzem) Himself? In Hebrew, the word tzimtzum comes from the root TZM, which means “to diminish” or “to fast,” that is, to “diminish” oneself.[1] It can also mean “to be precise,” that is, to remove ambiguity.[2] The repetition of the root TZM is a grammatical form of doubling down, an extreme [...]

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 countries? Said G‑d: “Let Esther, the descendant of Sarah who lived 127 years, come and rule over 127 lands. (Esther Rabbah 1:8) The Midrash Ester Rabbah compares 127 years of Sarah’s life with 127 provinces that Esther ruled. How can one compare time with space? When the Midrash says that Adam gifted 70 years of his life to his descendant, King David, it’s understandable – a year for a year. But a year for a province? What’s the connection? Hermann Minkowski When, in 1905, Albert Einstein published his Special Theory of Relativity, it was nothing short of a scientific revolution. For the first time, Einstein showed [...]

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