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2. Learn an urgent lesson from a chaotic g tree! Carlos E. Puente University of California, Davis THE KEY ROLE OF SCIENCE IN THE NEW EVANGELIZATION Ateneo.

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Presentation on theme: "2. Learn an urgent lesson from a chaotic g tree! Carlos E. Puente University of California, Davis THE KEY ROLE OF SCIENCE IN THE NEW EVANGELIZATION Ateneo."— Presentation transcript:

1 2. Learn an urgent lesson from a chaotic g tree! Carlos E. Puente University of California, Davis THE KEY ROLE OF SCIENCE IN THE NEW EVANGELIZATION Ateneo Ponticio Regina Apostolorum Rome, May 2013

2 Thesis We humans, with a soul, may learn from recent advancements regarding natural complexity in order to nd the peace of Christ and share the good news in a novel way…

3 e g tree and Holy Scripture Adam and Eve covered with g leaves (Gn 3:7) a symbol of Israel together with the vine (Hos 2:14) King Hezekiah healed by prophet Isaiah (Is 38:21)

4 e g tree and Holy Scripture Adam and Eve covered with g leaves (Gn 3:7) a symbol of Israel together with the vine (Hos 2:14) King Hezekiah healed by prophet Isaiah (Is 38:21) Nathanael is seen under the g tree (Jn 1:47–51) the parable of the barren g tree (Lk 13:6–9) Jesus curses a fruitless g tree (Mt 21:18–22, Mk 11:12–23) the lesson from a g tree (Mk 13:28–31, Lk 21:29–33)

5 e logistic map... a population of rabbits as a function of time

6 e logistic map... a population of rabbits as a function of time

7 e logistic map... a population of rabbits as a function of time

8 e logistic map... a population of rabbits as a function of time

9 The logistic dynamics

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16 e diagram of bifurcations

17 the tree contains periodic behavior, for any natural number

18 e diagram of bifurcations

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21 Intermediate bud of period 3

22 … exquisite self-similarity ad infinitum

23 Thorns galore

24 they happen at ends of white bands of buds for all periods

25 Universality on the fig tree bifurcations happen in an orderly fashion: (Feigenbaum, 1978)

26 Universality on other chaotic trees straight root, tender branch, branches, and dust (g leaves)

27 Universality on other chaotic trees straight root, tender branch, branches, and dust (g leaves) relevant in biology, ecology, chemistry, physics, economics…

28 Universality on other chaotic trees straight root, tender branch, branches, and dust (g leaves)

29 In the summit of chaos

30 however, unstable extensions of the tree need to be excluded:

31 Oscillations on the summit pre-images of eventual repetitions every three generations are not part of the attractor:

32 Oscillations on the summit pre-images of eventual repetitions every three generations are not part of the attractor: similar trees for every period need to be excluded …

33 Oscillations on the summit pre-images of eventual repetitions every three generations are not part of the attractor: similar trees for every period need to be excluded … the strange attractor is therefore dust

34 An escape to the origin there are also few points that improbably return to the root pre-images of zero rest despite high heat:

35 An escape to the origin there are also few points that improbably return to the root pre-images of zero rest despite high heat: points associated with the middle paint an inverted square root!

36 An escape to the origin there are also few points that improbably return to the root pre-images of zero rest despite high heat: points associated with the middle paint an inverted square root! the ideas remind us of the concept of purgatory

37 Plain common sense it is much better not to miss the point! in order to avoid chaos and its infernal turbulence:

38 Plain common sense it is much better not to miss the point! in order to avoid chaos and its infernal turbulence: come down the tree lowering your heat to nd the root

39 Plain common sense it is much better not to miss the point! in order to avoid chaos and its infernal turbulence:

40 Plain common sense it is much better not to miss the point! in order to avoid chaos and its infernal turbulence:

41 A scientic prophetic tree?

42 an allegorical g tree without fruit, consistently cursed

43 A scientic prophetic tree? an allegorical g tree without fruit, consistently cursed this tree and other trees have tender branches and many buds

44 A scientic prophetic tree? an allegorical g tree without fruit, consistently cursed this tree and other trees have tender branches and many buds the ax is at the root of the trees, Nathanael is at the root we may curse the g tree as He rebuked the wind

45 Our options order simplicity serenity peace disorder complexity turbulence chaos

46 Our options order simplicity serenity peace decreasing Gods way below Y = X abandonment disorder complexity turbulence chaos increasing our way above Y = X selfishness

47 Our options order simplicity serenity peace decreasing Gods way below Y = X abandonment obedience blessing resting Heaven disorder complexity turbulence chaos increasing our way above Y = X selfishness rebelliousness curse wandering hell

48 Feigenbaums parabel

49 Foliage of disorder trapped in empty dust, jumps astir forever enduring subtle thrust. Crossing of the outset leaving faithful root looming tender o set failing to yield fruit Cascade of bifurcations, increasing heat within, inescapable succession of branches bent by wind. Sprouting of dynamics attracted to the strange, o innity reminding at the origin: the ame. Could it be, oh my friends that science o ers a rhyme? For a rotten tree foretells the very advent of time. Could it be, oh how plain, that nature extends a call? For old parable proclaims the crux in growing small.

50 In the midst of chaos there is a small gate leading to ne rest. In the midst of chaos there are loyal paths inviting to a dance. On top of the g tree there is a key point that runs to the core. On top of the g tree there is a clear light that averts a fright. In the midst of chaos there is leaping game discerning the way. In the midst of chaos there is a ne well watering the brain. On top of the g tree there is a clean frame that cancels the blame. On top of the g tree there is mighty help that shelters from hell.

51 Other coincidences the four states on the parable of the sower: fruit in the root Y = X is our shelter from the wind

52 Other coincidences the four states on the parable of the sower: fruit in the root Y = X is our shelter from the wind abandon yourself, pick up your + and follow me whoever loses his life for my sake will save it if a grain of wheat dies, it produces much fruit

53 Other coincidences the four states on the parable of the sower: fruit in the root Y = X is our shelter from the wind abandon yourself, pick up your + and follow me whoever loses his life for my sake will save it if a grain of wheat dies, it produces much fruit in the summit of chaos: wheat vs. chaff, sheep vs. goats though 1,000 fall at your side, 10,000 at your right… can you bury the haughty in the dust together?

54 Other coincidences the four states on the parable of the sower: fruit in the root Y = X is our shelter from the wind abandon yourself, pick up your + and follow me whoever loses his life for my sake will save it if a grain of wheat dies, it produces much fruit in the summit of chaos: wheat vs. chaff, sheep vs. goats though 1,000 fall at your side, 10,000 at your right… can you bury the haughty in the dust together? people do not pick gs from thornbushes the power of sainthood is visualized geometrically: the escape point from chaos is the point

55 Le plus improbable

56 In the most hellish beat a silly and vain defeat also a spectacle disjoint an epsilon from the point chaudement guérissable oh purgation ineffable oh victoire admirable oh miracle vénérable In the symbolic tree thorns, dust in a spree but in humble zero set line cancels all debt In the unbent choice always a clear voice an appointed up lift deterministic a gift In the highest ugly heat almost never a repeat sad travel with no rest ever close to the best sûrement misérable oh détour incroyable dynamique indésirable étrange état exécrable également déplorable périodicité interminable obstination réprochable oh hasard inévitable In the real driving seat surely a fantastic feat a way to erected root faithful relief and fruit égoïsme détectable oh fractal pitoyable oh origine inégalable oh paradis inalterable oh l'amour véritable oh poème formidable miséricorde veriable oh le plus improbable Voice by Sandrine Matiasek

57 Animations by Mahesh L. Maskey


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