*As explained in the workshop on climate change (8th), in an article (Cassella, 2017b), in a particular book (Cassella, 2018j), and in the 2nd newsletter (January-February 2021) of the logos heuristics, the IPCC (Intergovernmental Panel on Climate Change, 2007, 2014, 2018, 2019) has not published yet the extreme danger to letting our lower atmosphere heat up more than 2 degrees Celsius*.

We are causing the sixth extinction of free nonhuman species (right of Figure A). Yet we do not realize that, more than hunting nonhuman species, we are hunting ourselves. If the permafrost and the oceans warm up now (within an Earth that could become the most powerful green house in 252-million years), the carbon dioxide that lies dormant in the permafrost and the methane frozen on the sediments of shallow seas might travel to the atmosphere, and boost the concentration of carbon dioxide there from 413 ppm (at the end of 2020) to 1,300 ppm and more. *(One needs to remember that, as a green-house gas, methane is about 84 times more powerful than carbon dioxide in a 20 years period.)*

Under those conditions, the equilibrium (chemocline) between bacteria that rely on sulphur and bacteria that feed on oxygen in our oceans could be lost; and an environmental avalanche could cause the massive release of hydrogen sulfide, already surfacing in front of the shores of Angola and Namibia. Our aim to multiply and to live a longer and more comfortable life could destroy more than Earth's forests and nonhuman species: It could take away the __future__, the **hopes**, and the __ smile__ of our children's children. A repeat of the PETM (Paleocene-Eocene thermal maximum) of 56 million years ago (Mya) and of the PTHT (Permian-Triassic hyper-thermal) is in the pipeline. The cause is solely anthropogenic.

The length of any life span (73 years at the end of 2020) needs to be multiplied by the increase of global population (from 1 billion people in 1750 to 7.8 billon at the beginning of 2021); and a comfortable life can be multiplied by the increase in the per-capita energy consumption (from 1.8 barrels of equivalent oil per year before 1850 to 13.5 barrels at the end of 2020). In other words:

- Uniting our increased number with our increased per-capita energy consumption results in an impact factor of at least 100,000. That is,
*we are using Earth's resources 100,000 times more than the first farmers did about 10,000 years ago.*

*Too many of us consume too much. A lethal and very infectious virus could change all that. But in the end terrorism and global warming would suffice to bring to **zero** any possibility of ***social*** Progress; and to increase to **infinity** the sufferings of our grandchildren.*

The climatic avalanche on the horizon might induce more than the PETM (+ 6 degrees Celsius in the lower atmosphere) reached in the Superior Eocene 56 Mya, which brought horses and riders. It might match, instead, the disaster associated to the PTHT of 252 Mya, in which the lower atmosphere reached a 14 degrees Celsius temperature. At that time, the degradation of the ozone shield, caused by emanations of hydrogen sulfide from Earth's oceans, accompanied by its characteristic odor of rotten eggs, annihilated almost all the species on Earth (Ward, 2006; Benton, 2018).

The idea to search for and exploit the oil and gas under Greenland's ice could be lethal. Conversely, any __ reader__ of any Sacred Text will reach his or her Third Point, within the

Every Sacred Text points indirectly to the cognitive roots of the integration of the **coherence** damaged in autism with the __ decoherence__ hurt in schizophrenia:

- The apostle Thomas passed from
**doubt**towhen he understood that the combination of**certainty****Ubiquity**andhad allowed Christ**Coincidence***to enter the house of his Apostles through a locked door*; - the Hajj pilgrims
*cross seven times in time and against time the***infinite numbe***r of rays in a circle, pointing to the Black Stone at its*;**center** - in Penuel, after a deep struggle, the Archangel
**Michael***changed the name of***Jacob***to***Israel***;***and** *both the universe and the anti-universe***turn counter-clockwise.***between the initial***Big-bang***and the final***Big-crunch***.*

Science alone cannot dispel the extreme dangers that loom upon us. Only by integrating our __scientific muscle__ with the **dreams** and the **social**__ values__ cherished by our Paleolithic ancestors, by all schools of philosophy and by all Sacred Texts can we transform any danger in new opportunities of growth.

(Pressing the associated button will lead to Cassella's book on global warming and the hidden remains of Leonardo's mural *Battle of Anghiari*)

The next section stresses the fact that behind the visible and measurable reality searched by René Descartes in the 17th century hide **infinity**, __ nothingness__,

In the first half of the 17th century, the mathematician, philosopher, and scientist René Descartes ("Renatus Cartesius" in Latin) discovered the Cartesian Plane and analytic geometry (Gaukroger, 1995).

Around 1625, Descartes might have thought that his location in Rome was the center of a Cartesian Plane and of a circle with radius one; also, that the Colosseum was somewhere to the north-east. In order to reach that monument, he could have followed his genius to go east (by tracing an abscissa along the "x" axis, of the cosines of the angle theta) and then north (by tracing and ordinate parallel to the "y" axis, of the sines of theta). Had he had wings, he could have flown to the Colosseum over the specific unitary radius of the involved circle.

As figure B above shows, we may suppose that Descartes realized that the equation of the unitary circle centered in his location and passing through the Colosseum was: x^2 + y^2 = 1

Suppose also that Descartes were tired and did not have wings; but he had the magical capacity to induce the Colosseum to move where he was. In that case, the radius of the unitary circle would become zero, producing the equation x^2 + y^2 = 0. The roots, or solutions, of that equation would be the numbers "x "and "-x" multiplied by the square root of "-1."

Descartes wrote that the square root of "-1" could not be placed among real numbers. He called such a number "imaginary"; a qualification shortened today in "i" or "1i," the imaginary unit. In the 17th century, no one imagined that an unreal number would relate two exceptional numbers of the Cartesian Plane: Euler's number and Greek Pi.

- Euler's number ("e," or 2.718 . . .) represents an irrational and transcendental reality. (Unlike algebraic numbers, transcendental numbers cannot be counted.) That reality may stand for an infinite expansion into nothingness, as in the equation y = 1/x (Figure B), in which "y" becomes infinite when "x" becomes nothing.

- Also Greek Pi (3.141 . . .), or the relationship of the circumference of any circle to its diameter, can be placed among irrational and transcendental numbers. The fact the Pi is transcendental explains why no one has squared, or will ever square in a finite number of steps, a circle with a compass and a straightedge.

The hidden relationship between Euler's number, Greek Pi, and unity is dealt with in the next section.

At the turn of the 18th century, about 150 years after the death of Descartes, the Danish-Norwegian mathematician and cartographer Caspar Wessel realized that he if he replaced the vertical "y" axis of the Cartesian Plane with an axis that contained positive and negative multiples of imaginary units, he could represent as points numbers that had a __real abscissa__ (parallel to the axis "+__a__" and "-__a__") and an **imaginary ordinate **(parallel to the axis+"**ib**" and "-**ib**").

Wessel's idea introduced a practical use of the __ complex plane__ and

In the 19th century, also Jean Robert Argand and Carl Friedrich Gauss stressed the importance of complex numbers. Still, in 1748 the Swiss mathematician Leonhard Euler had already established a formula (upper left) in which any complex number, given by z = cos (theta in radians) + i sin (theta) in polar coordinates, is equal to Euler's number (e) with the exponent (^) "i by theta."

- Euler understood that the equation of a circle, "cos[theta])^2 +(sen[theta])^2 = 1" in the Cartesian Plane, in the Complex Plane would become "(cos[theta] + isen[theta]) x (cos[theta] - isen[theta]) = 1."
- This expression is equivalent to "cos[theta] + isen[theta] = 1/(cos[theta] - isen[theta]) = 1/e^(-i[theta]) = e^(i[theta])."

The exploratory journey of Euler (1748) was complex, since he did not know initially that *the meaning of e^i[theta] is forcing a complex number to trace the unitary complex circle corresponding to the angle twice Greek Pi in radians* (as shown by the blu quadrants A, B, C, and D).

In other words, if Euler's number is a metaphor for infinite expansion in the Cartesian Plane (Figure B); in the Complex Plane (Figure C), Euler's number is equivalent to a side kick that turns us 90 degrees in undertaking a circular motion. As in the Mexican song "y volver, volver, volver" ("and to return, return, return"), "e^itheta," or the Aztec demigod __ Quetzalcoatl__, must return with the angle 2 by Greek Pi--a full circle in radians.

Someone near Euler saw that if the angle theta equalled Greek pi, his formula would become **Euler's Identity**, in which his Euler number "e" ^ to " i by pi" could be added to the number 1 before equalling to zero the left side. (See the upper right angle of the Figure C above.)

Cassella (2018a) tried to upset the general adoration for** Euler's Identity**, which in his view is equivalent to a **pact with the devil**, under the **temptations** introduced by the second attention.

Cassella considered in the first place that . . .

- the horizontal axis of the complex plane can be associated to classical computing in the
__1st. attention__of the logos heuristics; - the vertical axis, to quantum computing in the
**2nd. attention**; and - complex numbers, to the
, within the**3rd. attention**of**crossing**__classical__and**quantum**computing.

In the second place, he considered that **Euler's Identity reflects the quantum coherence** that reaches schizophrenia (-1) in two quadrants (blue A and B); and, in the third place, that if we were to __ return__ to the sanity of mental spacetime in the real axis, the angle to be adopted would have to be

By replacing **Euler's Greek Pi** with __ Tau__ in Euler's Formula, Cassella obtained an

The Tau identity can be equated with the true __ return of Quetzalcoatl__, since it contains both the

In any case, one should not forget that *the Tau Identity has the same beginning of Euler's Identity in the **autistic +1** of real numbers. Neither should we forget that if we centered the needle of a compass in the zero of the complex plane, we could also trace the central circle of Figure C starting from -1 and going down counterclockwise toward the right, before going up and to the left in returning to -1. In a way, +1 and -1 join in provoking the rise of the central circle of Figure C.*

The Tau Identity would correspond thus to Euler's number ^ "i by Tau," equated to zero after the *subtraction* of unity (lower right angle of Figure C). If one changed Tau by twice Greek Pi, the resulting **Tau**** ****Identity**** **would also include plurality (the number 2), besides including unity, zero, Euler's number and Greek Pi.

**Euler's Identity**, then, might be taken as a metaphor for using **quantum computing** to __satisfy the needs and the desires of the self__, whereas the __ Tau Identity__ becomes a metaphor for

Cassella also envisioned that . . .

- Euler's Identity is a mathematical metaphor for
**Muhammad's going journey**to the Farthest Mosque; - the point in which
**Euler's identity**seems to change into thecan be taken as a metaphor of**Tau Identity****Jacob' dream in Bethe****l**induced by the Archangel; and**Gabriel** - the Tau Identity, a metaphor for
and for**Israel's struggle with the Archangel Michael in Penuel**in Mecca.**Muhammad's return to the Black Stone**

In the case of the Tau Identity, both coherence and decoherence, or the angle twice Greek Pi, could be equated also with the __ grace__ of the Virgin of Guadalupe, the

Richard Feynman, the father of QED (the quantum electro-dynamics that studies the relationship between light and matter) called **Euler's Formula***the most remarkable formula* in mathematics. He provided a base for the alleged beauty of Euler's Identity.

*The Figure above shows that the ***Tau Identity*** beats*** Euler's Identity*** in defeating the temptations brought by the ***devil*** since the beginning of time, with the Big Bang. Indeed, the Tau Identity may guide our exploration of the dance of light, matter, and anti-matter in the universe and the anti-universe.*

The human mind and the revelation contained in any Sacred Text go by the __ union__ of

The right pair of cymbals in figure D reflects the expansion and contraction of our universe toward the right/east, whereas the left pair of cymbals reflects the expansion and contraction of the anti-universe toward the left/west. Because 13.8 billion years have passed by since the initial Big Bang shared by matter and anti-matter, Cassella (2019b) proposed that in 3.8 billion years (17.6 - 13.8 = 3.8) an __ accelerated contraction__ will start in both our universe and the anti-universe. By rotating counterclockwise, at that point the universe and the anti-universe will have exchanged place.

The 4 divisions of 8.8 billion years each, to the right for the universe and to the left for the anti-universe, reflect the 4 quadrants of the Complex Plane (Figure C) that hosts the circular completion of the Tau Identity in its two possibilities:

- starting from +1 and going up and left, before
; and**returning** - starting from -1 and going down and right, before
.**returning**

After a half-turn of 180 degrees, the universe will occupy the place of the anti-universe and vice versa. Both the universe and the anti-universe are opposite point in the periphery of a same circle, turning counter-clockwise.

The change from coasting to accelerated expansion, 8.8 billion years after the Big Bang--and, especially, the change from accelerated expansion to accelerated contraction in 3.8 billion years--may seem revolutionary; but from the geometrical point of view of the two Tau Identities involved, the circular change cannot be seen.

The accelerated contraction would last 8.8 billion years, until a coasting contraction in both matter and anti-matter during an additional period of 8.8 billion years would end in two Big Crunches, two White Holes, and a new Big Bang.

Following the Tau identity in our universe, pilgrims of the Islamic Hajj turn 7 times *counter-clockwise* around the Black Stone in Mecca. Similarly, anti-pilgrims would turn* counter-clockwise *around the anti-Black Stone of the anti-universe. Islamic pilgrims and anti-pilgrims involved in the Hajj do not realize that they are retracing metaphorically Muhammad's journey to the Farthest Mosque in the** first half **of their circular walk and __ back to Mecca__ in the second half, although at the end of every circle they feel that

Figure D suggests that every counterclockwise turn of the universe and anti-universe would take 35.2 billion years, before their renaissance into a new and shared Big Bang.

Positing the existence of an anti-universe made of anti-matter and subject to anti-gravity **might solve hypothetically** the "vacuum catastrophe" problem of cosmology, or the disparity between the measured density of the universal vacuum (near zero) and the value 50 times (or more) orders of magnitudes of the same parameter when it is calculated through quantum physics. According to Cassella (2019b), adding the measured to the calculated values would result in the density of the universe; and of its opposite in the anti-universe.

As in the complex plane, the two universes depicted in Figure D would be joined by an infinite speed associated to a Dark Energy rooted in the principles of the second attention (centered in **Ubiquity**), whereas positive Dark Matter in our universe and negative Dark Matter in the anti-universe would respond to the __ Coincidence__ of the Third Attention in their respective support of

Hence, Dark Energy and Dark Matter seem to be part of the Tau Identity behind the return of Muhammad to the Black Stone in Mecca, the immortality linked to the Sacred Graal of Medieval Christian hagiography, and the __ resurrection__ of Hunahpu and Xbalanque in the

The logos heuristics and figure D imply that the complex __ field__ "z" would correspond to Higgs's field, as long as the latter were

The fact that an electron of matter and a positron of anti-matter hide behind a matter-empty photon and come to light near an atomic nucleus seems to agree with the ideas sketched in figure D and the nonlocal phenomenon of quantum entanglement.

In fact, Paul Dirac's mathematical discovery of the positron in 1928, the infinite speed of quantum entanglement, and their relationship to complex numbers are contained indirectly in a paper by Woldemar Voigt in 1887. That paper involves the inverse of Lorentz factor, today's alpha, or the square root of 1 less v^2/c^2 (where "c" is the speed of light and "v" is any speed.) Indeed, v = c would take to __nothingness__ the denominator of alpha, and to **infinite** the whole fraction; and v > c would transform alpha into a __ complex number__.

It might be worth noticing that the Big Bang at the center of the Complex Plane contains __arithmetical zero__, **imaginary zero**, and __ transcendental zero__, since everything begins there and, after connecting coherence with decoherence, ends there.

The capacity to connect **coherence** with __ decoherence__ and to

The figure above shows the sensible thief called "Dimas," who was crucified to the right of Christ, and the crazy thief called "Gestas," crucified at Christ's left. Luke (23-43) does not mention names. He implied, however, that Gestas remained impenitent. The opposition between __matter__ and __antimatter__ pervades de cosmos outside and inside the human mind.

Figure E also shows Cassella's quantum and mystical interpretation of that account, inspired by Antonio Rosmini's philosophical reasoning:

- The beam of the confrontation between the
__good thief__and the__bad____thief__carries in its center the__arithmetical zero__of nothingness in the__first attention__(__the first two wounds in the hands of Christ)__. - Behind that
__zero__stands the**imaginary zero**at the center of the vertical pole of the**second attention**, deep-set in the Golgotha**Mount**(the third and fourth wounds in the feet of Christ). - And behind both zeroes stands the
that drives the**zero****third attention**

__Confrontation__ between __goodness__ and __badness__ drives two armies to challenge each other in the *Baghavad Gita*, in front of the **undecided** **Arjuna** (the **2nd**. **attention **empowered with the **Gandiva bow** [**quantum computing**])--who has friends and relatives among both contenders--and __ Krishna__, Arjuna's master and the

Only __true confrontations__ lead to a **true**** **__ resurrection__ (for example, in a

In a similar manner, Israel returned to Canaan after 20 years of absence by trusting the **possibility** that his brother Esau might understand that he had acquired the Will (or the Third Point) to help others __ grow__ before dying.

The figure above enriches our view of the logos heuristics by exalting two metaphors for the cognitive and social __ understanding__ associated to the arrival of the Third Attention and the Third Point:

and the**MEIDUM PYRAMID**, in which the perimeter of the base over the height is equal to 6.28, or**GREAT PYRAMID**;**Tau**- GIZA's
, in which the**SPHINX**__head__represents the real "+a, -a"__axis;__the**body**, the imaginary "+ib, -ib"**axis**; and, the whole monument, the**TAU IDENTITY****.**

The Tau Identity conveys a Vision of the metaphorical meaning of the 5 wounds of Christ, implied in the writings of __ Antonio Rosmini__.

Cassella agrees with Rosmini that the the __wounds__ in the two hands of Christ and the **wounds** in the two feet of Christ may __ ally__ in the mind of any human being as they

However, the 5th wound proves also the possibility of __ resurrection__ in whoever perceives that fear of death did not stop

In the same way, the demigod **Quetzalcoat****l **will **return**** **to Earth; __ Jesus__ to kind words towards his assassins;

**Going** with coherence is impaired in autism and __ returning__ with decoherence is impaired in schizophrenia. The two illnesses are dealt with in the next page.

For references about articles and books by Antonio Cassella, please look at the list provided in the Biography.

**Andrew**, G. (1999). *The epic of Gilgamesh.* London: Penguin Books.

**Benton**, M.J. (2018). Hyperthermal-driven mass extinctions: killing models during the Permian-Triassic mass extinction. *Philosophical transactions. Series A, Mathematical, physical, and engineering sciences*, *376*(2130), __https://doi.org/10.1098/rsta.2017.0076__

**Castaneda**, C. (1968). *The teachings of Don Juan: A Yaqui way of knowledge*. New York: Simon and Schuster.

**Castaneda**, C. (1972). *Journey to Ixtlán: The lessons of Don Juan*. New York: Simon and Schuster.

**Castaneda**, C. (1987). *The power of silence: Further lessons from Don Juan*. New York: Simon and Schuster.

**Castaneda**, C. (1991). *The Eagle’s gift.* New York: Simon and Schuster.

**Euler**, L. (1748). Introductio in analysin infinitorum. Bosquet: Lausanne. **Feynman**, R. P. (1985). *The strange theory of light and matter. *Princeton, N.J.: Princeton University Press.

**Gaukroge**r, S. (1995). *Descartes: An intellectual biography*. Oxford: Clarendon Press.

**IPCC**-WG1. (2007) Intergovernmental Panel on Climate Change. *Fourth Assessment Report. Summary for Policymakers: A Report of Working Group I*. IPCC-WMO.

**IPCC**. (2014). Intergovernmental Panel on Climate Change. *Fifth Assessment Report. Summary for Policymakers: A Report of Working Group I*. IPCC-WMO.

**Rosmini**__, A.__ (1848). *Delle cinque piaghe della Chiesa: Trattato dedicato al clero cattolico*. Bruxelles: Société Typographique.

**Vasari**, G. (1550). (1986). *Le vite de’ più eccellenti architetti, pittori, et scultori italiani, da Cimabue insino a’ tempi nostri*. Torino: Einaudi.

**Ward**__, P. D. (October, 2006).__ “Impact from the Deep.” *Scientific American*, *295*, 64-71.

**Voigt**, W. (1887). Ueber das Doppler'sche. *Princip. Nachr. Ges. Wiss. Gottingen* 8, 41-51.

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