Jacob

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The Primacy of the Prime Numbers

And the messengers returned to Jacob, saying: “We came to thy brother Esau, and moreover he cometh to meet thee, and four hundred men with him.” (Genesis 32:7) On this blog, we primarily focus on structural parallels between Torah and Physics and, more specifically, quantum physics. Today I would like to explore an interesting parallel between this Torah portion and the number theory. In my previous essay on the Torah Portion Vayishlach, “Jacob Meets Esau and his 400 men,” I wrote “Esau and his 400 men together were 401 strong. 401 is a prime number that is the sum of seven consecutive prime numbers (43+47+53+59+61+67+71).” In that essay, I focused on the significance of the number seven. Let us now focus on the significance of the prime number. The structural parallel I see [...]

Three Angels: Past, Present, and Future

And the Lord appeared unto him in the plains of Mamre, as he sat in the entrance of the tent in the heat of the day; and he lifted up his eyes and looked, and, behold, three men stood over against him… (Genesis 18:1-2)   In the Torah portion Vayeira, three men appeared to Abraham as he was sitting at the entrance to his tent. The Talmud states that these three men were angels: Michael, Gabriel, and Rafael. Michael came to tell that Sarah will give birth to a son, Raphael came to heal Abraham after his circumcision, and Gabriel came to destroy Sodom. However, on a metaphorical level, it appears to me that these three angels personify three aspects of time: past, present, and future. Here are several clues that hint at [...]

Jacob Meets Esau and his 400 men

And the messengers returned to Jacob, saying: “We came to thy brother Esau, and moreover he cometh to meet thee, and four hundred men with him.” (Gen. 32:7) Why does the Torah take pains to tells us the exact number of men accompanying Esau? Servants of Esau are of no particular significance. It is apparent that, by specifying the number of men in Esau's entourage, the Torah is trying to tell us something about Esau. It seems to me that Jacob understood the significance of the number 400. This number is a sum of the powers of 7 from 0 to 3: 70+71+72+73=400. This four powers of 7 hint at the lunar month that has, approximately, 28 days (4×7). The significance of this will become apparent later. 400 is a repdigit in base [...]

Jacob Teaches Wave-Particle Duality

…and he [Jacob] took some of the stones of the place and placed [them] at his head, and he lay down in that place (Gen. 28:11) And Jacob arose early in the morning, and he took the stone that he had placed at his head, and he set it up as a monument, and he poured oil on top of it. (Gen. 28:18) And Jacob said to his kinsmen, "Gather stones," and they took stones and made a pile, and they ate there by the pile. (Gen. 31:46) The debate about the nature of matter goes back to antiquity. According to atomist school of thought (Leucippus, Democritus, Epicurus, Lucretius), the matter is composed of particles or atoms. The light was also thought to be made of particles – the corpuscular theory of light (Alhazen, Newton). [...]

By |2018-11-18T16:14:56-05:00November 18th, 2018|Uncategorized|2 Comments

Purim—the Day when We Celebrate Spontaneous Symmetry Breaking

The Zohar compares Yom Kippur to Purim stating that Yom HaKipurim may be interpreted as “a day like Purim” (k-purim in Hebrew means “like purim”).  On Purim we feast; on Yom Kippur we fast—what the two can have in common? Indeed, Purim and Yom Kippur have something very important in common.  Both days share a common root—pur—meaning  a “lot” (or pl. purim—“lots”). On Yom Kippur, two lots were placed in a wooden  box—one say “to God”, and the other “to Azazel.”  (See my post, “Tale of Entangled Goats”). The High Priest relied on a lottery to choose which goat would be used for a sacrifice to God and which to atone for the sins of Jewish People. On Purim, Haman threw two lots to determine the month and the day of a pogrom, [...]

Grand Unification

In physics, we seek Grand Unification, also known as the Theory of Everything. The Standard Model describes three out of the four fundamental forces: the strong (nuclear) force, the weak force (beta decay), and the electromagnetic force. The gravitational force, described by the General Theory of Relativity, does not fit into the Standard Model. Developing a quantum theory of gravity, and unifying gravity with the other three forces is the holy grail of theoretical physics. Jewish people are also in need of Grand Unification. There is a schism that runs through the history: it is the schism between Joseph (Yosef) and Judah (Yehuda). Judah represents a “shtetl yid,” a Jew who lives in a ghetto, who sits in a yeshivah, who learns Torah, and who sees the world outside as hostile, as a [...]

Dreams of Pharaoh—a Lesson in Symmetry

In the Torah portion Miketz, Pharaoh sees two dreams. He wakes up agitated and calls on all wise men of Egypt to interpret his dreams. Nobody is able to come up with an acceptable interpretation, so they fetch Joseph from a prison and he successfully interprets dreams of Pharaoh—there will be seven years of plenty followed by seven years of famine. Joseph proceeds to instruct Pharaoh on how to prepare for the seven years of famine. In the previous posts, Interpreting Dreams and Joseph—the Master of Time—we already explained how Joseph was able to interpret dreams in terms of units of time and why Pharaoh appointed Joseph as the Viceroy of Egypt. This story, however, is still puzzling. Perhaps it can teach us more lessons… In Talmudic and Kabbalah literature, Joseph is called [...]

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, why the collapse of the wavefunction – part and parcel of the Copenhagen interpretation of quantum mechanics – is called 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. Secondly, nobody knows how the collapse happens or how long it takes to collapse the wavefunction.  This is not to mention that any notion that the collapse of the wavefunction is caused by human consciousness, [...]

Shavuot and Three States of Consciousness

Shavuot (a.k.a. the Feast of Weeks, or “Pentecost”) is the only Jewish holiday that has no fixed day in a calendar – it is always the 50th day from the beginning of counting of the Omer—Sefirot HaOmer. What is so special about the number and what is its connection to Shavuot? Shavuot is not only the culmination of the counting of the sefirah, but it is a culmination of the process of maturation of our consciousness. On Shavuot, it is customary to read the Book of Ruth (Megilat Rut). The story begins with Lot and his daughters running away from Sodom and hiding in a mountain cave. Seeing the destruction of Sodom, the daughters of Lot suspected that God in his fury destroyed the whole of humanity and they were the only people [...]

One-to-Many and Many-to-One

And he arrived upon the place and lodged there all night, because the sun was set; and he took from the stones of the place, and put them under his head, and lay down in that place to sleep. — Gen.28:11 And Jacob rose up early in the morning, and took the stone that he had put under his head, and set it up for a pillar, and poured oil upon the top of it. — Gen.28:18 Rashi notes that, before Jacob lies down to sleep, the verse speaks of the plurality of stones: “he took from the stones of that place, and put them under his head.” When Jacob wakes up, the verse suddenly switches from plural to singular mentioning only one stone: “and took the stone that he had put under [...]

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