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THE GEOMETRY OF EVANGELII GAUDIUM. The love of Jesus: the radical solution to the challenges of the world. Carlos E. Puente University of California, Davis. Ateneo Ponti fi cio Regina Apostolorum Rome, March 2014. Thesis We humans, with a soul, may learn from recent advancements
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THE GEOMETRY OF EVANGELII GAUDIUM The love of Jesus:the radicalsolutionto the challenges of the world Carlos E. Puente University of California, Davis Ateneo Pontificio Regina Apostolorum Rome, March 2014
Thesis We humans, with a soul, may learn from recent advancements regarding the geometry of natural complexity in order to fill our hearts with the joy of the Gospel and take the mission to share the good news in a renewed fashion…
Pythagorean theorem c b a
A game for kids 70% 30%
A game for kids 70% 30%
A game for kids 70% 30% …
A game for kids 1 1 1 1 2 1 1 3 3 1 … the game defines a multiplicative cascade
The cascade, twelve levels later intertwined thorns via layers having distinct densities
The cascade, twelve levels later intertwined thorns via layers having distinct densities ultimate support on each of the layers is dust
The cascade, twelve levels later intertwined thorns via layers having distinct densities ultimate support on each of the layers is dust … the game generates a multifractal
The cascade, twelve levels later intertwined thorns via layers having distinct densities ultimate support on each of the layers is dust … the game generates a multifractal it is hard to walk …
Another game for kids • cascadeyields equal disjoint thorns over dust
Another game for kids • cascadeyields equal disjoint thorns over dust • varying the holesize gives topologically the layers on first game
Another game for kids • cascadeyields equal disjoint thorns over dust • varying the holesize gives topologically the layers on first game • …the two games are intimately related
Accumulated masses of clay is total modeling clay from 0 to
Accumulated masses of clay • ... following the dynamics: • notches above: etc. • plateaus below: etc.
Accumulated masses of clay cumulative sets have no derivativesat many points and are locally flat
Accumulated masses of clay • cumulative sets have no derivativesat many points and are locally flat • and same maximallength if
Accumulated masses of clay • cumulative sets have no derivativesat many points and are locally flat • and same maximallength if • when combining the games and adding randomness
A veritable deception a devil’s staircase…
Turbulence and the first game (Meneveau and Sreenivasan, 1987) eddies
Turbulence and the first game (Meneveau and Sreenivasan, 1987) eddies • layers in one-dimensional turbulence as in first cascade for
Turbulence and the first game (Meneveau and Sreenivasan, 1987) eddies • layers in one-dimensional turbulence as in first cascade for • dissipation:atmospheric, boundary layer, wake of a cylinder…
Turbulence and the first game (Meneveau and Sreenivasan, 1987) eddies • layers in one-dimensional turbulence as in first cascade for • dissipation:atmospheric, boundary layer, wake of a cylinder… universal
Our turbulent times inequities competition cynicism discriminations forced equality fear
Our turbulent times inequities competition cynicism discriminations forced equality fear selfishpostures and actions
Our turbulent times inequities competition cynicism discriminations forced equality fear selfishpostures and actions …of the world under poverty kids diea day for lack of water violenceand terror…
An optimal system? 5, 10, 20 and 40% largest thorns have 57, 70, 84 and 95% of the mass
An optimal system? 5, 10, 20 and 40% largest thorns have 57, 70, 84 and 95% of the mass quite close to the United States: 59, 71, 84 and 95%
An optimal system? 5, 10, 20 and 40% largest thorns have 57, 70, 84 and 95% of the mass quite close to the United States: 59, 71, 84 and 95% … as both cascades dissipatethe energy, if we ride them, they will lead us to bite the dust…
Economic power laws (De Guilmi et al., 2003) Pareto distributions of income and wealth approximate lines in doubly-logarithmic scales
Other violent power laws , there is no earthquake of a characteristic size
Other violent power laws , there is no earthquake of a characteristic size floods,avalanches, volcanic eruptions, forest fires… heavy tails
Conflict power laws (Cederman, 2003) no longer thanks to God…
Mechanisms yielding heavy tails (Sornette, 2009) multiplicative cascades preferential connections highly optimized tolerance, hot self-organizedcriticality
Common-sense code for peace run cascades in reverse to repair what is broken live at low Reynolds numbers to avoid violence cut mountains and fill valleysto restore unity
Common-sense code for peace • run cascades in reverse to repair what is broken • live at low Reynolds numbers to avoid violence • cut mountains and fill valleys to restore unity RECONCILIATION LOVE
The unique geometric solution level zero 50-50no holes
The unique geometric solution level zero 50-50no holes
The unique geometric solution level zero 50-50no holes • only straight and solid condition without thorns or dust
The unique geometric solution level zero 50-50no holes only straight and solid condition without thorns or dust Our Lord Jesus Christ the way, the truth, and the life
The unique geometric solution level zero 50-50no holes only straight and solid condition without thorns or dust Our Lord Jesus Christ the way, the truth, and the life thehypotenuse is indeed the path of peace!