Transcript The Unitive Art of the Holy Trinity

e Faith of a Hydrologist
Carlos E. Puente
University of California, Davis
Ateneo Pontificio Regina Apostolorum
Roma, Aprile 17, 2012
esis
We humans, with a soul,
may learn from recent advancements
regarding natural complexity
in order to find peace…
Simple Maps and Fractal Wires
(Barnsley, 1988)
(1/2, 1)
𝑤1 𝑥, 𝑦 =
𝑤2 𝑥, 𝑦 =
𝑥
, 𝑥 + 𝑑1 ∙ 𝑦
2
𝑥 1
+ , 1 − 𝑥 + 𝑑2 ∙ 𝑦
2 2
(0,0)
different shapes depend on signs of 𝑑1 and 𝑑2
(1,0)
Cascades, Turbulence and Multifractals
(Meneveau and Sreenivasan, 1987)
70%
30%
1
0
1
2
⋮
𝑤1 𝑥 =
𝑥
,
2
𝑤2 𝑥 =
𝑥 1
+
2 2
gives a multifractal using a biased
coin
A Platonic Approach to Complexity
(Puente, 1992, 1994)
𝑑𝑥 is “illumination” on a wire and 𝑑𝑦 is derived projection
𝑑𝑦 is also a “transformation” of turbulence
“shadow” 𝑑𝑦 appears random but is entirely deterministic
Projections Galore
varying interpolating points
with statistics as in natural hydrologic sets
A Detailed Storm in Boston
(Puente and Obregón, 1996)
a model projection (center) of a real data set (right)
model also preserves statistical and chaotic features of data
Extensions to Higher Dimensions
(Puente, 1994, 2004)
a pollution pattern based on a wire in four
dimensions
similarly for rainfall patterns and others…
Exploring the Limit:
e + – Case
(Puente et al., 1996)
𝑑𝑦 is a Gaussian curve for any non-discrete 𝑑𝑥
a surprising bridge from dissipation to conduction and love
– – case yields oscillations between two bells
Mighty Gaussians Everywhere!
(Puente and Klebanoff, 1994)
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
Treasures Inside the Bell
(Puente, 2003)
superposition of many lovely patterns give perfect circles
in the space-filling limit there is hidden order in chance
Designs Inside the Bell
(Puente, 2003)
suitable iterations of simple maps yield arbitrary ice crystals
the rosette of DNA is coded via the binary expansion of π
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 9 and the irrational number 𝑒
1 = 0.999 …, and the calculus of love is integration without differentiation: 𝑒 𝑥
also, from Jesus’ parable of the vine and the branches: 1 + 1 𝑥 𝑥 → 𝑒
Trinitarian Numbers
always found on each block: 0, 1 and ∞
the Father in 𝜋, the Son in 2, and the Holy Spirit in 𝑒
Trinitarian Numbers
𝑓 𝑥 =
1
2𝜋
𝑒 −𝑥
2
2
always found on each block: 0, 1 and ∞
the Father in 𝜋, the Son in 2, and the Holy Spirit in 𝑒
these irrational numbers are part of the formula for the bell—integral to
freedom
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.
But there is a case,
reason to this call:
the forward selection
that raises it all.
Symmetric pure beauty,
o mighty delight,
this limit in fullness
stores life’s designs.
ere is clear choice
that rotates the 8,
by loving sincerely
we surely converge.
Such vessel contains,
alephs of all tastes,
diatoms and crystals
including DNA.