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The Meaning of Life as Taught by Bayesian Angels

November 19, 2018 And he [Jacob] dreamed, and behold! a ladder set up on the ground and its top reached to heaven; and behold, angels of G‑d were ascending and descending upon it. (Genesis 28:12) Rabbi Shneur Zalman of Liadi (a.k.a Baal HaTanya, or the Alter Rebbe) once remarked in Yiddish, “lieben mit di tzait” – live with the time, meaning one should live with Torah portion of the week.  Last week I was taught a lesson on how the current Torah portion affects my thinking, whether I know it or not. Last week I shared with my wife, who is a biophysicist, that while thinking about system biology, I realized that all organisms – from a single cell to multicellular organisms – are Bayesian systems. I knew that the brain is a [...]

The Second Derivative — The Secrets of The Double Cave

And he [Avraham] spoke with them, saying, “…Listen to me and entreat for me to Ephron the son of Zohar. That he may give me the Machpelah (Double) Cave, which belongs to him, which is at the end of his field…" (Genesis 23:8-9) double: A house with an upper story over it. Another interpretation: because it was doubled with couples (Er. 53a) (Rashi on Genesis 23:9) In the Torah portion Chayei Sarah, Avraham purchases a Double Cave, Machpelah, as the ancestral burial plot. Almost all classical Biblical commentators interpret Machpelah (that is, "double") to mean a cave with two chambers. Rashi takes an entirely different approach and states that the cave was known for a two-story house built on top of it. So, the word Machpelah refers not to the cave itself, but to [...]

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 [...]

Wellsprings from Above and Wellsprings from Below

In the six hundredth year of Noah's life, in the second month, on the seventeenth day of the month… all the fountains of the great deep were broken up, and the windows of heaven were opened. (Gen. 7:11) In calculating the time of the dawn of Messianic revelation, the Zohar writes, And after six hundred years of the sixth thousand there will be opened the gates of wisdom above and the fountains of wisdom below, and the world will make preparations to enter on the seventh thousand as man makes preparation on the sixth day of the week, when the sun is about to set. (Zohar I, 117a) The Zohar calculates this based on the letters of the Tetragrammaton, but brings the verse from this parashah as the mnemonic: “In the six hundredth [...]

Day Six – the State of Superposition

And G‑d saw all that He had made, and behold it was very good, and it was evening and it was morning, the sixth day. (Gen. 1:31)   The Biblical narrative of creation concludes with the above verse. Rabbi Shlomo Yitzchaki (a.k.a. Rashi) comments on this verse: the sixth day: Scripture added a “hey” on the sixth [day], at the completion of the Creation, to tell us that He stipulated with them, [“you were created] on the condition that Israel accept the Five Books of the Torah.” [The numerical value of the “hey” is five.] (Tanchuma Bereishith 1). Another explanation for “the sixth day”: They [the works of creation] were all suspended until the “sixth day,” referring to the sixth day of Sivan, which was prepared for the giving of the Torah (Shab. 88a). [...]

Shabbat Bereshit – Past, Present, and Future

In the last post, Tishrei—Past, Present, and Future, we discussed how all Tishrei holidays – Rosh HaShanah, Yom Kippur, Sukkot, and Simchat Torah – are connected by the same thread of time and, more specifically, the unification of past, present, and future. This cluster of Tishrei holidays is culminated and concluded with Shabbat Bereshit, when we start the new annual cycle of reading the Torah. Not surprisingly, Shabbat Bereshit follows the same pattern of unification of past, present, and future. The Torah starts with the creation of the world. The story of Creation, obviously, relates to the past. The word “bereshit,” means, in the beginning. The root of “bereshit" is “reshit” – beginning. Beginning, however, points into the future – to something that will follow the beginning in the future. The Lubavitcher [...]

Tishrei — Past, Present, and Future

The months of Tishrei is full of holidays, and they all share a common theme—the unification of time—past, present, and future. Picart, Blowing of the Shofars on Rosh Hashanah It all starts with Rosh HaShanah. Traditionally translated as the New Year, it literally means the Head of the Year. The word shanah has the same letters as the word shinui — “change.” As Aristotle famously wrote, time is change. The sages of Kabbalah agree—time, in its essence, is change. Thus, Rosh HaShanah can be translated as the Head of Time, or the Beginning of Time (since a related Hebrew word, reshit means the “beginning”). Indeed, it is all about time. Rosh HaShanah has three main themes—Ziḥronot (remembrances), Shofrot (Sounds of the Shofar), and Malkhiot or  Kabalat Ol Malkhut Shamayim (acceptance of [...]

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: [...]

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 [...]

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 [...]

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 [...]

The Pilot Wave

And on the day that the tabernacle was reared up, the cloud covered the tabernacle, even the tent of the testimony; and at even there was upon the tabernacle as it were the appearance of fire, until morning. So it was always: the cloud covered it, and the appearance of fire by night. And whenever the cloud was taken up from over the Tent, then after that the children of Israel journeyed; and in the place where the cloud abode, there the children of Israel encamped. At the commandment of the Lord the children of Israel journeyed, and at the commandment of the Lord they encamped: as long as the cloud abode upon the tabernacle they remained encamped. And when the cloud tarried upon the tabernacle many days, then the children of Israel [...]

Mishkan – a Metaphor for Quantum Reality, II

Continuing the theme of my last post, Mishkan – a Metaphor for Quantum Reality, the analogy between the Tabernacle (“Mishkan”) and quantum reality goes even deeper. The quantum world is best described today by the Quantum Field Theory. According to this theory, there are no particles, only fields. When we interact with a field, it manifests itself as a quantum of the field, which, to some extent, looks and behaves like a particle. For example, when we interact with an electromagnetic field, it manifests itself as a photon – a quantum of the electromagnetic field. An electron, according to the Quantum Field Theory, is not really a particle but a quantum of the electron field, which is a quantum field that is spread across the entire universe. This quantum is an excitation of [...]

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