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Scientists are Clarifying Witnesses

Listen, O heavens, and I will speak! And let the earth hear the words of my mouth! (Deut. 32:1) In this Torah portion Haazinu, Moses appeals to heavens and earth as witnesses. However, a few verses later, he extorts the Jewish people: “Ask your father, and he will tell you; your elders, and they will inform you” (Deut. 32:7) as if to confirm the testimony of heavens and earth. Why wasn’t the testimony of heavens and earth enough? Why did their testimony need to be corroborated by “your father” and “your elders”? The Lubavitcher Rebbe The Lubavitcher Rebbe, Rabbi Menachem Mendel Schneerson, in one of his talks (see R’ Schneerson, M.M. Likute Sihot (Brooklyn, NY: Vaad L’Hafotzas Sichos, 1998) v. XIX, Devorim, pp. 188-196) discusses the Talmudic concept of two types of witnesses: [...]

Brit Milah in Six Dimensions

Sefer Yetzira speaks of three dimensions: Olam, Shanah, and Nefesh (Sefer Yetzirah, 6:4.)  Olam means "world" and signifies space. Shanah means "year" and signifies the dimension of time. Nefesh means "soul" and signifies the spiritual dimension. In another place, recognizing the space itself is three-dimensional, Sefer Yetzira speaks of five-dimensional space, a Minkowski spacetime with an addition of the fifth spiritual dimension. This construct is very similar to the Kaluza-Klein five-dimensional generalization of the General Theory of Relativity (a theory that is near and dear to my heart because, unaware of its existence, I independently rediscovered it as a teenager.) Kaluza-Klein, first forgotten, is now experiencing a revival as a special case of the string theory. Sefer Yetzirah In every one of these dimensions, G‑d created the domain of holy and the domain [...]

By |2024-10-13T21:41:24-04:00September 18th, 2018|Uncategorized|1 Comment

The Beard of the Long Face is Found

The previous Lubavitcher Rebbe, the Rebbe Rayatz (a.k.a. the Fridriker Rebbe) told the story about his father, the Rebbe Rashab. Once the brother of Rebbe Rashab, Rabbi Menachem Mendel (a.k.a. the RM”M) told him that he read in a magazine an article that stated that scientists found a nerve in the brain regulating the cognitive function so that when a person needed to remember something he would tilt his head looking up, whereas when the person needed to concentrate, he’d tilt his head down. The Rebbe Rashab took his brother to his study, took from the shelf a book by the Second Lubavitcher Rebbe, the Mittler Rebbe, in which it stated the same thing. The Rebbe Rashab said to his brother, “You’d think he was a doctor, but he wasn’t. He saw Adam [...]

Shoo Away the Mother Bird

If a bird's nest chances before thee in the way, in any tree or on the ground, with fledglings or eggs, and the mother sitting upon the fledglings, or upon the eggs, thou shalt not take the mother with the young; thou shalt shoo away the mother, but the young thou mayest take unto thyself; that it may be well with thee, and that thou mayest prolong thy days. (Deut. 22:6-7) Many years ago, I was at a physics conference in Princeton in honor of the 85th birthday of John Archibald Wheeler. At the lunch break, I sat alone at a table to eat my kosher lunch (I was always uncomfortable eating this airplane food typically served at conferences whenever I order kosher food. The sound of unwrapping the cellophane attracts everyone’s attention [...]

Sabbatical Year – when the Wavefunctions are Collapsed

The Torah portion, Re’eh, talks about the Sabbatical Year—in Hebrew, Shemitah—the Seventh year. When the Sabbatical year comes, all loans are forgiven, and Jewish servants go free. This is difficult to understand. Why would a lender forgive a loan just because it’s the seventh year in the Shemitah cycle? Why would slaves be set free just because it’s the Sabbatical year? Another question is why do we translate Shemitah as the “Sabbatical year”? Besides the fact that it is the seventh year, and Shabbat is the seventh day, what connects the word “shemitah” with Shabbat? As Rabbi Yehoshua Steinberg writes in Biblical Hebrew Etymology, (see Re’eh: The Slippery Year? – The Wonders of the Holy Tongue), the three-letter root of the word “shemitah” – Shin-Mem-Tet – connote falling, collapsing, slipping, weakening, or disintegration. The two-letter [...]

Re’eh – the Power of Seeing the Blessings

The Torah portion Re’eh, begins with the verse: Behold, I set before you this day a blessing and a curse. (Deut. 11:26) The first word of this verse, re’eh, literally means “see” in Hebrew. So, literally, this verse should be translated as: See, I set before you this day a blessing and a curse Spoken words are heard, not seen. Why did Moses implore people to see, as he was about to set before them a blessing and a curse? To understand this, we need to look at the following verses defining the blessing and the cure: The blessing, if ye shall hearken unto the commandments of the Lord your G‑d… (Deut. 11:27) …and the curse, if ye shall not hearken unto the commandments of the Lord your G‑d… (Deut. 11:28) Does this [...]

Sanctuary in Five Dimensions

In my last post, Tisha B’Av on Shabbat – A Relativistic Perspective, I wrote that G‑d created His sanctuary in four dimensions — Bet HaMikdash (preceded by the Mishkan in the desert) in the three spatial dimensions, and Shabbat in the fourth dimension, time. I emphasized four dimensions because that was all we needed to explain the connection between the Temple and Shabbat and why we do not fast when Tish B’Av falls on Shabbat (but, instead, fast on the following day—Sunday). In truth, however, G‑d created His sanctuary in five dimensions. As we discussed in several posts on this blog (On the Nature of Time and the Age of the Universe, The Fifth Force, The Fifth Force – Epilog, Tumah and Taharah), Sefer Yetzirah, the oldest surviving book of Kabbalah, describes our [...]

Tisha B’Av on Shabbat – A Relativistic Perspective

Yesterday was the 9th day of the month of Av or, in Hebrew, Tisha B’Av. Usually, Tisha B’Av is marked by mourning and fasting. Yesterday, however, we ate festive meals, drank wine and were prohibited from fasting or displaying any signs of mourning. Because yesterday was Shabbat. Shabbat pushes off the observances of Tisha B’Av by a day. Indeed, today, Sunday, we fast and mourn the destruction of the First and the Second Holy Temple  – Bet Hamikdash – in Jerusalem, we remember the Holocaust and many other tragedies that befell the Jewish people. Why couldn’t we observe Tisha B’Av on Shabbat? After all, that was the day when on the 9th of Av, both Temples were destroyed! The simple explanation, of course, is that on Shabbat there is no mourning. On Shabbat, [...]

Passover Seder—The Arrow of Time

The Passover Seder is called seder, i.e., "order" not without a reason. It is a highly structured and orchestrated ceremony that follows the ancient script—Passover Haggadah. The Seders is a play in four acts: Kiddush (sanctification), Magid (telling the story of the Exodus), Shulchan Orech (the festive meal), and Nirtzah (Hallel—the prayer for the Messianic redemption). This sequence sets the natural arrow of time past-present-future. The Past. During the Magid part of the Seder, we retell the story of the Exodus of the Jewish people from Egypt—the narrative of our history. Eating of the matzah, drinking four cups of wine and other "simonim" (symbols) of the Seder table—bitter herbs, an egg, a bone, charoset, etc.—are all symbols that have historical significance. This part of the Seder clearly represents the past. The Present. During [...]

By |2019-04-14T16:45:56-04:00March 30th, 2018|Passover (Pesach), Time, Uncategorized|1 Comment

Breaking Symmetry

And Moses turned, and went down from the mount, with the two tablets of the testimony in his hand; tablets that were written on both their sides; on the one side and on the other were they written. And the tables were the work of G‑d, and the writing was the writing of G‑d, graven upon the tables… And it came to pass, as soon as he came nigh unto the camp, that he saw the calf and the dancing; and Moses' anger waxed hot, and he cast the tablets out of his hands, and broke them beneath the mount. (Ex. 32:15-19) The Torah portion Ki Tisa (Ex. 30:11-34:35) is, perhaps, has one of the most enigmatic episodes in the Torah—the breaking of the Tablets of the Covenant. The sin of the Golden [...]

By |2018-03-04T18:54:42-05:00March 4th, 2018|Uncategorized|2 Comments

Purim—the Day when We Celebrate Spontaneous Symmetry Breaking

This is what Haman did not understand. Even at the highest level, where there is a complete symmetry between Jacob and Esau, G‑d chooses Jacob—a spiritual example of the spontaneous symmetry breaking: "I loved you, said the Lord, and you said, “How have You loved us?” Was not Esau a brother to Jacob? says the Lord. And I loved Jacob. And I hated Esau…" (Malachi I, 2-3). Haman failed the test on quantum field theory and ended up hanging on a gallows.

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 has two dreams. He wakes up agitated and calls on all the wise men of Egypt to interpret his dreams. Nobody is able to come up with an acceptable interpretation, so they fetch Joseph from prison and he successfully interprets the dreams of Pharaoh—that 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, still has mysteries to unlock. Perhaps it can teach us more lessons. In Talmudic and [...]

Joseph—the Master of Time

The story of Joseph’s incarceration ends with his successful interpretation of the dreams of the Pharaoh’s chief butler and the chief baker.  He ingeniously interpreted ordinary objects (tendrils of grapes and baskets of bread) as symbols of the units of time (Interpreting Dreams). Even greater insight was Joseph’s understanding that the engagement in time, manifested by the chief butler’s personally squeezing the grapes into the cup and placing the cup in Pharaoh’s hand, symbolized life for the chief butler. Conversely, the passivity of the chief baker, who dreamt of baskets of bread sitting on his head, with birds eating from the baskets, symbolized the opposite of life.                                                  Girolamo Brusaferro [...]

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 [...]

Three-and-a-half Hakafot — Topology of Simchat Torah

Why is this night different from all other nights, asks a child on the Seder night. On this Simchat Torah I asked a different question—why is the day different from the night? Indeed, on the night of Simchat Torah, we dance seven hakafot-circuits. However, during the morning service of the next day, we only dance three-and-a-half hakafot. What is the meaning of this number—three and a half? There are a few instances the Torah, Talmud, and Rabbinic instances where this number is mentioned (e.g., during the Gaonic period, c. 590–1000 CE, in some communities in the Land of Israel, the Torah reading cycle was completed in three and a half years; Maimonides rules that only half of the tzitzit string should be dyed blue leaving three and a half strings white), but none of them [...]

Holiday of G‑d’s Name

According to the tradition passed down to us from the Baal Shem Tov, the day after Yom Kippur is called the Holiday of G‑d's Name. As it is explained in Kabbalah and the Chasidic tradition, each Divine name corresponds to a particular emanation of the G‑dly light and is associated with specific worlds and specific sephirot. For example, the name, Ekiyeh (AHYH) is associated with the sephirah of Ketter. The names Havayah (Y‑H‑W‑H) is associated with the world of Atzilut and sephirah of Tiferet, etc. However, when we refer to the Divine Name without specifying which particular name it is, we refer to the level that is higher than all worlds and all sephirot. On Yom Kippur, we reach our very essence, the level of Yehida shebenefesh—the highest level of the Divine soul. [...]

By |2017-10-01T16:13:12-04:00October 1st, 2017|Uncategorized|0 Comments

Quantum Cheshire Cat and Resurrection

In memory of my father, Abraham Shamshin ben Reuven, ע"ה   For those of us who can't get enough of Schrödinger cat, comes a new feline—Quantum Cheshire Cat—the creation of an Israeli physicist, Yakir Aharonov. In Alice in Wonderland, Alice meets a grinning Cheshire cat. To her amazement, the cat disappears leaving only his grin behind: "All right', said the Cat; and this time it vanished quite slowly, beginning with the end of the tail, and ending with the grin, which remained some time after the rest of it had gone. Well! I've often seen a cat without a grin, but a grin without a cat! It's the most curious thing I ever saw in my life!" According to Martin Gardner, the statement "a grin without a cat" is a reference to mathematics dissociating itself [...]

Symmetry and Love — Jewish Chromodynamics

Ye are standing this day all of you before the Lord your G‑d: your heads, your tribes, your elders, and your officers, even all the men of Israel, your little ones, your wives, and thy stranger that is in the midst of thy camp, from the hewer of thy wood unto the drawer of thy water; that thou shouldest enter into the covenant of the Lord thy G‑d—and into His oath—which the Lord thy G‑d maketh with thee this day. (Deut. 29:9-11) The above verses at the beginning of the Torah portion Nitzavim that is always read in the week preceding the Jewish New Year, Rosh HaShanah, are usually interpreted in terms of the unity of Jewish people: You are standing this day all of you [read: standing together in perfect unity]. This is not [...]

First Fruits and the Wave-Particle Duality of Nature

…Thou shalt take of the first of all the fruit of the ground, which thou shalt bring in from thy land that the Lord thy G‑d giveth thee; and thou shalt put it in a basket and shalt go unto the place which the Lord thy G‑d shall choose to cause His name to dwell there. And thou shalt come unto the priest that shall be in those days, and say unto him: 'I profess this day unto the Lord thy G‑d, that I am come unto the land which the Lord swore unto our fathers to give us.' And the priest shall take the basket out of thy hand, and set it down before the altar of the Lord thy G‑d. Deuteronomy 26:2-4 The debate about the nature of matter goes back [...]

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