e faith of a hydrologist carlos e. puente university of california, davis ateneo pontificio regina...
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e Faith of a Hydrologist
Carlos E. PuenteUniversity of California, Davis
Ateneo Pontificio Regina ApostolorumRoma, Aprile 17, 2012
esis
We humans, with a soul,
may learn from recent advancements
regarding natural complexity
in order to find peace…
different shapes depend on signs of and
(Barnsley, 1988)Simple Maps and Fractal Wires
(0,0) (1,0)
(1/2, 1)
⋮
𝑤1 (𝑥 )=𝑥2,𝑤2 (𝑥 )= 𝑥
2+12
70% 30%
gives a multifractal using a biased coin
(Meneveau and Sreenivasan, 1987)Cascades, Turbulence and Multifractals
is “illumination” on a wire and 𝑑𝑦 is derived projection
is also a “transformation” of turbulence
“shadow” appears random but is entirely
deterministic
(Puente, 1992, 1994)A Platonic Approach to Complexity
Projections Galore
varying interpolating points
with statistics as in natural hydrologic sets
a model projection (center) of a real data set (right)
model also preserves statistical and chaotic features of
data
(Puente and Obregón, 1996)A Detailed Storm in Boston
a pollution pattern based on a wire in four
dimensions
similarly for rainfall patterns and others…
(Puente, 1994, 2004)Extensions to Higher Dimensions
is a Gaussian curve for any non-discrete
a surprising bridge from dissipation to conduction and
love
– – case yields oscillations between two bells
(Puente et al., 1996)Exploring the Limit: e + – Case
circular bells are the most common, but ellipticals do
happen
there are also cases producing oscillations among bells
proof of higher-dimensional Gaussian remains elusive
(Puente and Klebanoff, 1994)Mighty Gaussians Everywhere!
superposition of many lovely patterns give perfect
circles
in the space-filling limit there is hidden order in chance
(Puente, 2003)Treasures Inside the Bell
suitable iterations of simple maps yield arbitrary ice
crystals
the rosette of DNA is coded via the binary expansion of
π
(Puente, 2003)Designs Inside the Bell
A Truly Special + + Case
a delightful-sounding bell concentrated at infinity
the wire that is maximally positive filters any disorder:
Where, O death, is your victory? Where, O death, is
your sting?
e Majestic Trilogy
the Father mighty in heaven
the Son always perfect and positive
and the Holy Spirit that comes from them… St.
Augustine
On the Life of Jesus Christ and Beyond
His birth and miracles, the Eucharist in “a piece of the wire”
unity with the Father, baptism, transfiguration, resurrection, and
Ascension
Assumption of Mary and rapture of the Church
Other Matters of Faith
“look not on our sins, but on the faith of your Church”
“love covers a multitude of sins,” “the flesh produces death, but
the Spirit life”
“the law is only a shadow of good things to come”
On the Unity of the Holy Spirit
“angel-winged” transformation via midpoint additions of infinite
unity
the Holy Spirit is also seen in the number and the irrational number
, and the calculus of love is integration without differentiation:
also, from Jesus’ parable of the vine and the branches:
Trinitarian Numbers
always found on each block: 0, 1 and ∞
the Father in , the Son in , and the Holy Spirit in
Trinitarian Numbers
always found on each block: 0, 1 and ∞
the Father in , the Son in , and the Holy Spirit in
these irrational numbers are part of the formula for the bell—
integral to freedom
𝑓 (𝑥 )= 1
√2𝜋𝑒−𝑥
2 /2
Our Options
conduction
infiniteness
plenitude
trust
faith
freedom
one day at a
time
harmony
light
heavenly
always +
Love
dissipation
finiteness
solitude
disbelief
doubts
slavery
anxiety
intermittency
darkness
earthly
a bit −
else
e Amazing Bell
e bell peals silent,reflecting its peace,
and inside it gathers
lovely masterpiece.
Symmetric pure beauty,
o mighty delight,this limit in fullness
stores life’s designs.
Such vessel contains,
alephs of all tastes,diatoms and
crystalsincluding DNA.
But there is a case,reason to this call:
the forward selection
that raises it all.
ere is clear choicethat rotates the 8,by loving sincerely
we surely converge.