Tree of Life

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The Cosmological Problem of Initial Conditions and the Universe of Tohu

Now the earth was unformed and void.Genesis 1:2 We have a big problem in cosmology: the problem of the initial conditions of the universe at the time of the Big Bang.[1] Before we can explain this problem, however, we need to review some basic concepts of thermodynamics. Thermodynamics developed by Boltzmann and others[2] described the behavior of gases and liquids and the transfer of heat. A key concept in thermodynamics is entropy. Entropy is a measure of disorder, of chaos. The second law of thermodynamics states that in an isolated system, entropy always increases with time. The second law of thermodynamics explains universal decay. And entropy is the measure of that decay.[3] Shining stars produce entropy. Stars collapsing into black holes produce entropy. Evaporating black holes produce entropy.[4] Entropy is increasing in the universe.[5] Let us [...]

Abel and Cain Conflict—Wave-Particle Duality

…And Abel was a keeper of sheep, but Cain was a tiller of the ground. And in process of time it came to pass, that Cain brought of the fruit of the ground an offering unto the Eternal. And Abel, he also brought of the firstlings of his flock and of the fat thereof. And the Eternal had respect unto Abel and to his offering; but unto Cain and to his offering He had not respect. And Cain was very wroth, and his countenance fell. And the Eternal said unto Cain: “Why art thou wroth? and why is thy countenance fallen? If thou doest well, shall it not be lifted up? and if thou doest not well, sin coucheth at the door; and unto thee is its desire, but thou mayest rule over it.” And Cain spoke unto Abel [...]

Primordial Serpent—the Incurable Atomist

Now the Serpent was more cunning than any beast of the field which the Eternal G‑d had made. (Genesis 3:1)   When G‑d placed Adam in the Garden of Eden, He issued a decree: And the Eternal G‑d commanded the man, saying: “Of every tree of the garden thou mayest freely eat.” (Genesis 2:16) Having commanded man to eat from every tree of the garden, including the Tree of Life and the Tree of Knowledge, G‑d qualified His command: “but of the tree of the knowledge of good and evil, thou shalt not eat of it; for in the day that thou eatest thereof thou shalt surely die.” (Genesis 2:17) There appears to be some dissonance between verses 16 and 17. Verse 16 uses two words, akhol tokhel, each of which shares the [...]

The Tree of Life and Wave Mechanics

As we discussed in the earlier post, The Tree of Knowledge as a Metaphor for Superposition of States and Heisenberg’s Uncertainty Principle, the Heisenberg uncertainty principle is a direct consequence of wave-particle duality. If so, shouldn’t we expect to see some hints at the wave nature of reality in the narrative of the Garden of Eden? And the Tree of Life (Etz HaChaim): what was it doing in Eden? It appears in the narrative only twice—in the very beginning and at the very end of the story of the primordial sin—almost as if to put a frame around the picture. At the start of this narrative, the verse states: And the Lord G‑d planted a garden eastward, in Eden; and there He put the man whom He had formed. And out of the ground [...]

Why the first humans were not allowed to eat from the Tree of Knowledge

As always in science, every answered question breeds new questions. Now that we understand that the Tree of Life and the Tree of Knowledge are metaphors for, respectively, the wave function and the collapse of the wave function (see my earlier post, "The Tree of Knowledge as a Metaphor for Superposition of States and Heisenberg’s Uncertainty Principle"), we are faced with more questions. Why did G‑d not want Adam and Eve to eat from the Tree of Knowledge? And what was so terrible about the forbidden fruit that eating it warranted capital punishment?[1] Let us recall that, according to our tradition, Adam and Eve were prohibited from eating from the Tree of Knowledge only for three hours. Adam and Eve were created on the sixth day—the Eve of the Sabbath (Erev Shabbat). With [...]

The Tree of Knowledge as a Metaphor for Superposition of States and Heisenberg’s Uncertainty Principle

And out of the ground made the Lord G‑d to grow every tree that is pleasant to the sight, and good for food; and the tree of life also in the midst of the garden, and the tree of the knowledge of good and evil. (Genesis 2:9) And the Lord G‑d commanded the man, saying: “Of every tree of the garden thou mayest freely eat; but of the tree of the knowledge of good and evil, thou shalt not eat of it; for in the day that thou eatest thereof thou shalt surely die.” (Genesis 2:16–17) Upon creating Adam and Eve, G‑d permitted them to eat any fruit from the Garden of Eden, except for the forbidden fruit—the fruit of the Tree of Knowledge. Disregarding this injunction, Adam and Eve ate the forbidden [...]

Fractal Tu B’Shevat

When thou shalt besiege a city a long time, in making war against it to take it, thou shalt not destroy the trees thereof by wielding an axe against them; for thou mayest eat of them, but thou shalt not cut them down; for is the tree of the field man, that it should be besieged of thee? (Deut. 20:19) On Tu B’Shevat we celebrate the New Year of the trees. There is much to be said about the legal, ecological, homiletical, and mystical meaning of this day. And, indeed, much has been written about this minor holiday from these perspectives. In this post, however, I’d like to focus on the mathematical and biological aspects of this holiday that, to my knowledge, had not been discussed until now. When the Torah rhetorically asks, [...]

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

Tree of Life or Nothingness

In the Torah portion Shlach (Numbers 13:1-15:41),  Moses instructs his spies to scout the land of Canaan and to bring back a report. He says to them: … What is the soil like – is it fat or lean? Are there any trees in it or not? You shall be courageous and take from the fruit of the land. (Num. 13:20) The verse seems pretty straight-forward – bring the fruits of the land as a proof that there fruit trees in the land. The trouble is, this is not exactly what the verse says. Translated literally, the verse reads: … What is the soil like – is it fat or lean? Is there a tree in it or nothing? You shall be courageous and take from the fruit of the land. This literal [...]

By |2018-06-08T07:07:49-04:00January 22nd, 2016|Numbers, Pentateuch (Chumash), Shlach, Uncategorized|1 Comment

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