Department of Land, Air and Water Resources - University of California, Davis
Phone: (530) 902-6030   Email: cepuente@ucdavis.edu   Office: Veihmeyer 127
 
an outline of

The Fig Tree & The Bell Chaos, Complexity, and Christianity

Overview

This book, written for the curious, peace-seeking reader, shows how universal notions developed through the study of natural complexity, such as multiplicative cascades, bifurcations, chaos, fractal transfor­mations, and self-organized criticality, reveal an impartial, coherent framework to visualize the dynamics and consequences of mankind’s actions, including the vital options of order and disorder, peace and anxiety, and unity and division, which we all confront in our lives.

Drawing an unforeseen link between the scientific principles and extensive Biblical analysis, Carlos Puente explains how the notions establish a dependable all-inclusive bridge to Christian faith, as the desirable condition for a simple yet fulfilling saintly life can only be attained in the root, the straight, the origin, and the positive, satisfying a few unconventional but memorable geometric adages, as “cut the mountains and fill the valleys,” “come down the chaotic tree,” “let your transformation be positive and unitive,” and “let zero be your power,” which summarize LOVE to God and neighbor.

Available for purchase through CreateSpace.

Chapter I · Lessons from Turbulence

  • Explains how natural turbulence happens via a simple cascade process.
  • Shows how the same notions are related to the wealth inequalities of nations, and, in particular, to those in the United States.
  • Shows that we can learn from natural complexity in order to avoid and mend our own “turbulence” and find “friendship” and “peace.”
  • Explains that the best solution in equilibrium is achieved by “loving one another” and the other teachings of Jesus Christ, who indeed is shown to correspond to “the way, the truth and the life.”
A Game for Kids
  • Introduces a simple cascade process based on the propagation of imbalances.
  • Shows how such produces layers of intertwined thorns having distinct densities.
  • Explains how the resulting object is impossible to traverse.
Another Game for Kids
  • Introduces another simple cascade based on the propagation of holes.
  • Shows how such a game produces equal thorns that do not touch.
  • Explains that thorns emanate from a set having the structure of dust.
Dimensions and Fractals
  • Remind us of the dimension of points, straight lines, planar sets, and volumes.
  • Following the ideas of Benoit Mandelbrot, introduces the notion of fractals.
  • Computes the dimension of a dust set to be a number between 0 and 1.
  • Explains that the layers of thorns on the first game produce multiple dusts.
  • Shows how such dusts appear via the second game varying the hole size.
  • Illustrates why the outcome of the first game is known as a multifractal.
Accumulated Clay
  • Shows the profiles for the two games when their masses (clay) are accumulated.
  • Explains that the first game gives rise to a cloud of dust having many notches.
  • Shows that the second game yields a profile with great many plateaus.
  • Explains why such profiles measure two units: one horizontal plus one vertical.
  • Shows that such a property is universal, for any imbalance and any hole.
  • Explains why landing on such sets leads to the false conclusion that such are flat.
  • Argues that such rough profiles are suitably named devil's staircases.
Turbulence in the Air
  • Recalls that natural turbulence breaks equilibrium into a cascade of eddies.
  • Illustrates that measurements of turbulence in the air define layers of energies.
  • Shows how eddies break into eddies according to the first game for kids.
  • Explains that the fragmentation of energies is universal for several flows.
  • Demonstrate the symbolic ratio ⅔ = 0.666… guiding such a general cascade.
  • Explains that energy dissipation is the ultimate fate of any cascade.
Our Turbulent Times
  • Shows that the games for kids may be used to depict our own selfish divisions.
  • Argues that the first cascade explains the propagation of economic inequalities.
  • Reasons that the second game models the proliferation of discriminations.
  • Shows that the first game yields a multifractal that fits the wealth distribution of the United States.
  • Emphasizes that such a fit uses exactly the same partitions as done by nature.
  • Argues against the cascading systems of government and in favor of Love.
The Faithful Solution
  • Argues that common sense implies inverting the cascades towards uniformity.
  • Explains that such a level zero for both games defines unity via 1 = 0.999….
  • Shows that such a straight landscape is the only case without thorns or dust.
  • Explains that the mending algorithm is ancient as it corresponds to cutting the mountains and filling the valleys.
  • Shows that accumulating uniformity gives a ramp and not a devil's staircase.
  • Argues that level zero is achieved via the proverbial 50-50 with everybody.
  • Identifies the saintly solution with Jesus Christ, the salvation of God.
  • Exhibits Jesus geometrically in the equation of the one-to-one ramp: Y = X.
  • Shows that such corresponds to the hypotenuse of a triangle measuring √2 units.
  • Illustrates that by landing on the hypotenuse one slides into the origin.
  • Argues that such explains why, nobody goes to the Father except through Jesus.
  • Shows how the notions indeed identity Jesus as “the way, the truth and the life.”
A Point not to Miss
  • Identifies equilibrium or uniformity as a point in a sea of possibilities.
  • Shows that accepting and mending our faults invariably leads us to the best improbable point, one not to be missed.
  • Argues that living slowly is key to avoid turbulence and find peace.
  • Reminds us that not judging others is also fundamental for friendship and love.
A First Set of Choices
  • Identifies our choices based on how turbulence may happen in our lives.
  • Reminds us that calmness is much better than violence.
  • Stresses that rectitude is far superior to wickedness.
  • Emphasizes that 50-50 is much better than inequities.
  • Argues that reconciliation is far superior to separation.
  • Explains that $, by negating integration, is the symbol of division.
  • Emphasizes that living in unity is much better than biting the dust.
  • Argues that the positive 9 is far superior than the negative 6.
  • Explains that is best to forge the future than to take revenge of the past.
Pathways
  • Summarizes poetically our options emphasizing forgiveness and the root.
Calls to Conversion
  • Recalls the geometric language in several Biblical calls to repentance.
  • Identifies sinfulness as a repeatedly breaking of equilibrium via a cascade.
  • Shows that true justice and the law of God corresponds to uniformity.
  • Explains how our repentance leads us to rectitude and the straight.
  • Invites us to avoid our roughness and ruggedness, that is, our fractality.
  • Recalls prophet's calls to reconciliation with one another and with God.
Our Evil World
  • Identifies the dissipative turbulent cascade and the ratio ⅔ with the devil.
  • Recalls that the devil is the ruler of the power of the air and of the world.
  • Emphasizes fractal emptiness and brokenness in our sinful ways.
  • Recalls the Biblical connotation of dust with death and the wicked.
  • Stresses that turbulent scattering and division are Biblical traits of evil.
  • Relates the eddies of division with the famous number 666, and moreover, ⅔.
  • Reminds us that God raises those in need precisely from the dust.
The One and Only
  • Identifies Jesus Christ with the cohesive level zero of both cascades.
  • Argues Jesus’ perfect equilibrium in his fulfilling of the law and the prophets.
  • Expresses Jesus’ divinity in His attainment of the symbolic root of two.
  • Shows geometrically that Jesus's yoke is easy and His burden light.
  • Compares differences between the just and the wicked, as √2 is far from 2.
  • Illustrates the twofold nature of our choices and the need for forgiveness.
  • Recalls Jesus’ invitation to His positive cross and away from the negative.
The Hypotenuse
  • Summarizes poetically Jesus Christ, as the straight and shortest hypotenuse.
The Beauty of Unity
  • Shows that uniformity, equilibrium and unity are attained in Jesus Christ.
  • Recalls Jesus words regarding marriage using the expression 1 + 1 = 1.
  • Identifies ultimate Church unity via the equation 1 + 1 + … + 1 = 1.
  • Recalls that there was an eclipse of the sun when Jesus was crucified.
  • Argues that the timing, from the 6th to the 9th hours, depicts our own darkness.
  • Reminds us that Jesus died out of love and crowned with thorns precisely at the positive 9th hour.
609
  • Unwinding the Yin and Yang symbol, explains poetically our best and universal transition from selfishness to love.
To Equilibrium
  • Reminds us that uniformity is attained by practicing humility and service.
Symbols and Further Reflections
  • Summarizes key symbols and stresses the consistent typology of the associations.
A Bit More on the Solution
  • Explains poetically Jesus Christ, the solution in the ramp's equation Y = X.

Chapter II · Lessons from Chaos

  • Explains the route to chaos via a chain of bifurcations using the logistic map and exhibits the amazing properties of the Feigenbaum tree, the scientific fig tree (in German).
  • Relates ultimate convective chaos with the concept of hell and illustrates an improbable way out of utter chaos consistent with the notion of purgatory.
  • Explains why Jesus may have cursed a barren fig tree and why the advent of the scientific fig tree may fulfill a key eschatological lesson regarding His return.
  • Emphasizes that it is always best to come down a chaotic tree, for the notions of the root and the origin are fundamental for peace.
The Dynamics of the Logistic Map
  • Introduces the logistic map, shaped as a parabola, as used in studies of population.
  • Shows that such a map leads to distinct behaviors depending on a key parameter.
  • Explains the population’s demise when the parabola is below the line Y = X.
  • Explains how an orderly cascade of successive bifurcations leads to chaos.
  • Portrays alternative scenarios that yield predictable repetitive behavior.
  • Shows cases with chaotic strange attractors that never repeat.
The Feigenbaum Tree
  • Explains the ultimate fate of a population via the iconic Feigenbaum diagram.
  • Illustrates the incredible self-similar fractal nature of such a tree, as it contains infinitely many small copies of it (without the root) inside its great many buds.
  • Exhibits the presence of great many multifractal thorns in the Feigenbaum tree.
  • Stresses the fact that chaotic strange attractor possess the structure of dust.
Universality in the Fig Tree and other Trees
  • Explains that bifurcations’ durations and openings occur at prescribed speeds, as discovered by Mitchell Feigenbaum.
  • Illustrates that such speeds give rise to universal constants that are valid for the logistic parabola and for many other maps having a single peak.
  • Exhibits Feigenbaum trees, for various alternative maps, having: a straight root, a tender branch, branches depicting repetitions, and the dusty foliage of chaos.
Some Experimental Results
  • Illustrates the relevance of Feigenbaum’s results in various scientific disciplines.
  • Explains the significance of the logistic map for understanding the heating of fluids, and their eventual turbulent boiling at high heats.
The Traits of Chaos
  • Summarizes common properties of chaotic systems, including the butterfly effect.
In the Summit of Chaos
  • Examines the most chaotic strange attractor for the logistic map.
  • Explains the dusty nature of such a set, as it excludes trees of repetitive behavior.
  • Further explains the sensitivity of chaotic phenomena to initial conditions.
  • Explains why most populations jump forever in dust and in high heat.
  • Shows initial conditions whose dynamics avoid chaos by returning to the origin.
Chaos or no Chaos: A Sensible Question for Humans?
  • Argues that this question is entirely relevant to our lives.
  • Relates the distinct states in the Feigenbaum tree to our inherent choices.
  • Reminds us that excess temperatures leads us to painful disorder.
  • Stresses that mild slopes in our actions are conducive to peace.
  • Argues that it is best for us to avoid chaos and its implied dust.
A Second Set of Choices
  • Identifies our choices based on how chaos may happen in our lives.
  • Reminds us that simplicity is much better than complexity.
  • Stresses that peace is far superior to chaos.
  • Emphasizes that resting is much better than wandering.
  • Argues that God’s way is far superior to our way.
  • Recalls that obedience results in blessings and rebelliousness in curses.
  • Articulate that is best for us not to cross the one-to-one line Y = X.
Le Plus Improbable
  • Summarizes poetically, in English and in French, key symbols from chaos theory.
The Root of the Feigenbaum Tree
  • Reminds us that abandonment, in going to zero, is key to Christian life.
  • Recalls several Biblical citations calling us to humility and smallness.
  • Argues that accepting Jesus Christ leads us to God, the Father, the origin.
  • Shows accord of such a choice with the straight root of the Feigenbaum tree.
  • Explains wisdom in choosing to be below the line Y = X.
The Shoot of the Feigenbaum Tree
  • Argues that pride is seen in branches and foliage of the Feigenbaum tree.
  • Relates the dynamics on strange attractors to anxiety and due frustration.
  • Identifies strange attractors as dusty places where the haughty could be imprisoned together, as God explained to Job.
  • Reminds us that there is no real rest in the shoot of the Feigenbaum tree.
  • Invites us to completely obey God and surrender to love in Jesus Christ.
The Identity of the Key Threshold
  • Emphasizes that, as Scripture says, salvation happens only through Jesus Christ.
  • Recalls Jesus’ words regarding the difference of being with Him or against Him.
  • Shows that the 9 beatitudes in the Gospel of Matthew calls us to 1 = 0.999….
  • Identifies the line Y = X as the narrow gate defined by Jesus.
  • Recalls that only by the way, the truth and the life we may arrive to the Origin.
The Logistic of Life
  • Explains the organizational chart of salvation making a parallel between Jesus’ parable of the sower and the four distinct scenarios in the Feigenbaum tree.
  • Argues that in the root, by understanding and practicing the Word of God, we may bear ample fruit: 100 to 1, 60 to 1, or 30 to 1.
  • Exposes the devil in his ⅔ bifurcation location within the Feigenbaum tree.
  • Entices us to repentance by coming down the chaotic tree, as Zacchaeus did.
The Cursed Fig Tree
  • Relates the Feigenbaum tree to the Biblical fig tree cursed by Jesus Christ.
  • Explains in detail the differences between the accounts of Matthew and Mark.
  • Argues, based on chaos theory, that Jesus symbolically cursed our pride.
  • Shows consistency of the curse with ancient curses explained in the Book of Deuteronomy and with Jesus’ rebuking of a turbulent storm.
  • Reminds us that Jesus Christ, and His believers, have power over the evil one.
  • Recalls that Scripture frequently calls us to faith in order to bear good fruit.
  • Stresses Scripture explains that figs may not be picked from thornbushes.
A Modern Prophetic Fig Tree?
  • Recalls the presence of fig leaves in the story of Adam and Eve.
  • Shows that such are consistent with the dust of death prescribed to them.
  • Recalls that the fig tree and the vine symbolize the people of Israel.
  • Reminds us that the fig is a symbol of healing, as prophet Isaiah cured a repentant King Hezekiah using a poultice of figs.
  • Links the obstinacy of Israel with the main branch of the Feigenbaum tree.
  • Argues that the modern Feigenbaum tree may be fulfilling end of times parables.
  • Emphasizes the language of a tender branch and budding in the accounts by Matthew, Mark, and Luke, as seen in the Feigenbaum tree and other chaotic trees.
  • Relates the Feigenbaum diagram with other signs in prophetic books.
  • Invites us to be prepared for the coming of Jesus Christ, even if the time of His return may not be dated.
  • Stresses that such implies transforming the imaginary root of the negative into true love.
  • Identifies the positiveness of the cross as the best choice in our lives.
Feigenbaum’s Parabel
  • Titled in German, explains poetically the scientific-Biblical parable of the fig tree.
The Improbable Elect
  • Shows why God’s elect need not fear as their dynamics are protected.
  • Emphasizes ultimate salvation in purification via the concept of purgatory.
  • Recalls Biblical passages consonant with those that unlikely find the root despite being surrounded by extreme chaos and fire.
  • Invites us to a joyful and improbable game of hopscotch whose rule is love.
  • Identifies the state of equilibrium as the entrance to God’s kingdom: the Ω point.
On Top of the Fig Tree
  • Stresses poetically ultimate salvation in the summit of chaos.
The Eternal Church
  • Shows that the elect comprise the Body of Christ in the Church.
  • Identifies Nathanael, and all true Israelites, in the root of the Feigenbaum tree.
  • Reminds us that the humble can accomplish anything in faith.
  • Explains how geometry is key to understand their saintly power as 0 + 0 = ∞.
Zeroes, Ones and Signs
  • Argues poetically about numbers 0 and 1 and their geometry.
Symbols and Further Reflections
  • Summarizes key symbols and stresses the consistent typology of the associations.
Yet a bit more on the Solution
  • Explains poetically Jesus Christ, the solution in the one-to-one equation Y = X.

Chapter III · Lessons from Fractal Wires

  • Introduces a Platonic approach to natural complexity from shadows of fractal wires illuminated by multifractal distributions.
  • Shows that in a limiting case, such a construction leads universally, for any illumination, to the famous bell curve or normal distribution.
  • Exhibits the emergence of a universal bell centered at infinity when the key parameters of the fractal wire are positive and unitive.
  • Explains how such a special case allows us to visualize the Most Holy Trinity and other important theological notions.
  • Unveils, via beautiful patterns discovered inside two-dimensional bells, an invitation to the plenitude of love.
The Iteration of Simple Rules
  • Shows how the progressive repetition of simple rules yields interesting fractals.
Fractal Wires, Mountains and Clouds
  • Explains how to construct fractal wires, which are functions from x into y, via the iterations of simple maps.
  • Shows mountains and clouds profiles depending on signs of two parameters.
  • Explains that clouds happen when both key parameters are positive.
  • Illustrates that mountains occur when any such parameter is negative.
  • Portrays examples of wires for alternative signs and dimensions.
A Platonic Universe of Projections
  • Shows how to compute shadows of fractal wires, both over x and over y.
  • Explains how multifractals appear in x as natural illuminations of such wires.
  • Shows how a fractal wire transforms multifractals into a host of data sets over y.
  • Argues for a Platonic view to comprehend complexity without invoking chance.
The Emergence of a Bell
  • Investigates the projections of fractal wires over y, for the positive-negative case on the parameters and for wires of increasing dimensions.
  • Shows how the limiting case, when the magnitude of both parameters tends to one, yields a plane-filling wire whose projection is always a bell curve having a finite mean, irrespective of the illumination.
  • Explains how such a fact yields an unforeseen bridge from disorder into order.
A Bit More About the Bell Curve
  • Reviews the connection between the bell curve and the central limit theorem.
  • Recalls that the bell reflects the gentle processes of diffusion and conduction.
  • Argues that the limiting wire hence allows running opposite to the prescribed physical flow, as it is capable of transmuting dissipation into conduction and the thorns of turbulence into the smooth bell.
Bells for Other Sign Combinations
  • Shows that positive parameters on a limiting wire yield universally a normal distribution concentrated at infinity, for any illumination.
  • Illustrates that when both parameters are negative the wire results in oscillations between two bells.
  • Exalts the ever-positive case whose symbolic cloud also resembles angel wings.
  • Shows that any piece of the infinite ever-positive wire also defines the same bell.
  • Argues that in the transformation from dust and thorns into a non-entropic bell at infinity we may visualize the words of the apostle Paul when he said, “Where, O death, is your victory? Where, O death, is your sting?”
The Antidote
  • Explains poetically, in the direction from x into y, our best transition to infinity.
A Third Set of Choices
  • Identifies our choices based on alternative fractal wires and their signs.
  • Reminds us that conduction is much better than dissipation.
  • Stresses that infiniteness is far superior to finiteness.
  • Emphasizes that plenitude is much better than solitude.
  • Argues that the freedom of the bell is far superior to the slavery of thorns.
  • Reiterates that the positive is much better than the negative and that the diffusive and ever-present light of love is much better than the implicit darkness of anything else.
  • Invites us to grow spiritually, as normality means the plenitude of love.
A Representation of the Most Holy Trinity
  • Shows that the ever-positive limiting wire coupled with a uniform illumination allows us to get a glimpse of the mystery of the Most Holy Trinity.
  • God the Father is symbolized by the majestic bell concentrated at infinity.
  • God the Son is seen in the perfect illuminating condition of equilibrium.
  • God the Holy Spirit is symbolized by the wire itself, which geometrically proceeds from the Father and the Son.
  • Recalls Biblical citations that support such interpretations.
  • Explains how the geometric construction solves a famous riddle involving Saint Augustine and a child he met at the beach, for the infinite and positive wire is capable emptying the whole ocean into a small hole.
On the Life of Jesus Christ and His Disciples
  • Uses the diagram of the Holy Trinity to visualize events on the life of Jesus that include, His birth, miracles, baptism with Spirit and fire, unity with the Father, transfiguration, resurrection from death, and ascension into heaven.
  • Identifies in the same diagram the assumption of the Virgin Mary and the future rapture of the living Church.
  • Explains the divinity of the Eucharist in the infinitely many little pieces of the limiting wire yielding conducting peace.
On Faith, the Spirit, and Salvation
  • Studies theological issues using the positive wire illuminated by a multifractal.
  • Explains that the Spirit is opposed to the flesh, as the bell at infinity is perpendicular to a divisive and turbulent multifractal.
  • Shows geometrically why love covers a multitude of sins and why the law is a shadow of things to come.
  • Explains why blaspheming against the Holy Spirit is an everlasting sin.
  • Stresses the need of choosing the cross and the Spirit of truth.
  • Recalls true freedom and salvation by faith in Jesus Christ.
  • Reminds us that faith is indeed the basis of the promise.
  • Explains that the central limit theorem of freedom is fulfilled living in love one day at a time, leaving away all anxieties.
  • Argues that the proactive and humble invocation, “Lord Jesus Christ, look not on our sins, but on the faith of your Church, and grant us the peace and unity of your kingdom where you live forever and ever” is reflected geometrically in the limiting positive bell when illuminated by our turbulence and chaos.
Clouds vs. Mountains
  • Uses alternative transitions to bell curves to illustrate creation events.
  • Employs cases with negative parameters to describe finite material entities.
  • Argues the infiniteness of our souls via the ever-positive limiting wire.
  • Recalls that mountains are obstacles to be removed by faith.
  • Compares God’s perfection with the devil’s incomplete imitations.
  • Invites us to a state of firm faith devoid of oscillating doubts.
Triune Numerical Representations
  • Explains that the numbers 0, 1, and ∞ and π, √2 and e, the latter found in the formula of the bell, are present in the components of the triune diagram.
  • Identifies π with the geometric sanctity of God the Father.
  • Exhibits √2 associated geometrically with the gate Y = X who is God the Son.
  • Explains that the essence of calculus is integration without differentiation.
  • Argues that then the exponential number e, geometrically an outward spiral, symbolizes God the Holy Spirit.
  • Confirms that e represents the Holy Spirit by interpreting the famous parable of Jesus about the vine and the branches.
  • Emphasizes the mathematical truthfulness of the Eucharistic invocation, “Through Him, with Him, in Him, in the unity of the Holy Spirit, all honor and glory is yours, almighty Father, for ever and ever.”
Conga to Infinity
  • Discourses joyfully and poetically about zero, one, and infinity.
O Kingdom of 9’s
  • Exalts eventual unity poetically in the convergence of love.
Wires in Higher Dimensions and Their Projections
  • Explains how to obtain fractal wires defined in three dimensions.
  • Shows how shadows of such wires over two dimensions generalize the Platonic notions to understand natural complexity.
  • Illustrates that limiting space-filling wires also yield three types of behaviors: bells that concentrate at infinity on rays emanating from the origin, other bells that have a finite extent as the previously encountered positive-negative case, and the oscillation of an arbitrary number of bells.
Exotic Beauty in Two-Dimensional Bells
  • Shows that iterations in limiting wires yield beautiful symmetric patterns.
  • Exhibits lovely kaleidoscopic designs that interlock to define a circular bell and that travel as if from glory to glory.
  • Shows that such patterns include many natural sets such as snow crystals.
  • Portrays relevant biochemical geometries also found in the bell.
  • Shows that the DNA rosette of all life is encoded inside the bell when guiding the iterations of two maps according to the binary expansion of π.
  • Argues that God is much more than a blind watchmaker.
  • Rejoices with the Psalmist on God’s improbable designs inside the bell.
The Amazing Bell
  • Exalts poetically the bell concentrated at infinity.
Symbols and Further Reflections
  • Summarizes key symbols and stresses the consistent typology of the associations.
Even a Bit More on the Solution
  • Explains poetically Jesus Christ, the solution in the simplest equation Y = X.

Chapter IV · Other Lessons to Peace

  • Presents other lessons to peace based on other manifestations of complexity, that include the power-law distributions of natural and man-made violence.
  • Reminds us of Biblical quotations that admonish our sinfulness and others that invite us to peace and love.
  • Summarizes the message of the book and relates some of its symbols to the image on the Shroud of Turin.
The Lack of Power in Power Laws
  • Introduces the notion of a power law via the famous distribution of earthquakes.
  • Explains how such a law cuts across scales to yield no charac-​teristic events.
  • Shows that such negative lines in doubly-logarithmic scales also happen in other manifestations of natural violence such as floods, avalanches, and forest fires.
  • Recalls that power laws happen in the income and wealth distributions of nations.
  • Shows via such notions the undesirable widening of inequalities worldwide.
  • Explains that the distribution of deadly conflicts (wars) yields another power law.
  • Argues that there is no power in the destructive mechanisms yielding power laws.
  • Explains the notion of self-organized criticality and argues that such unhealthy accumulation of energy ought to disappear from our lives.
To Log or not to Log
  • Explains a bit about the logarithmic function and shows from Jesus’ parable of the vine and the branches why it has a negative connotation.
  • Argues that to log means to cut down and that the log is also the negative beam we often have in our eyes that prevent us from helping one another.
  • Explains that there is no shortcut on approximate lines depicting fragmentation and that the truly straight invitation happens only via the hypotenuse Y = X.
  • Stresses that sainthood is indeed the force of love that maximizes energies.
Chaos, Complexity, and Christianity
  • Summarizes the message of love and peace included in the book.
  • Explains that such entails repentance to achieve the balance state, surrendering to Jesus Christ to find God, the Origin, and yielding to love via the transforming action of the Holy Spirit.
  • Reiterates the meanings of the irrational numbers π, √2, and e.
Phase Transition
  • Expresses poetically the need for a profound conversion as a phase transition.
A Bit More Trinitarian Syncretism
  • Relates the phase transition from darkness to light with the Biblical concept of being born again.
  • Argues that faith is absolutely essential and reminds us of the nine components of the fruit of the Spirit and of the nine beatitudes in the Gospel of Matthew.
  • Recalls the celebration of a first novena as disciples prayed for nine days between Jesus’ ascension into heaven and the coming of the Holy Spirit.
Invitations and Admonitions
  • Evokes the symbolic meaning of water in God’s plan of salvation.
  • Recalls the meaning of Jesus as the Alpha and the Omega.
  • Reiterates that the message of Christianity is one of humility and simplicity.
  • Reminds us of citations expressing the consequences of our unrepentant pride.
  • Argues that we must be on guard of the one who masquerades as an angel of light.
  • Speaks about eschatological events using the symbol of the fig tree.
  • Reiterates Jesus’ common verse, Whoever has ears ought to hear.
  • Exhibits the symbols of the α and the Ω in a physical diagram depicting the radiation emanating from the big bang.
  • Argues that such is consistent with prescribed signs in the sky prior to the return of Jesus Christ.
  • Emphasizes that there shall be a time in which silver and gold will not save.
  • Explains that God’s invitation is a call for us not to behave in a fractal way.
  • Reminds us that justice is up to us as we are the repairers of the breach.
  • Stresses that obedience to God’s precepts is fundamental for peace.
  • Invites us to be joyfully prepared for the arrival of Jesus Christ.
  • Argues that best time for repentance and love is always now.
The Lessons and the Shroud of Turin
  • Introduces a bit of the history about the famous relic.
  • Explains that such is surprisingly found to be a photographic negative.
  • Shows several symbols in the shroud consistent with the book, including:
    • a halo around the face of the crucified consistent sanctity and zero power.
    • coins in His eyelids reminding of the equation 0 + 0 = ∞.
    • an oval stone under the chin reading JXY, or Jesus as the line Y = X.
    • an arrangement of 256 = 28 flowers, consistent with 8 rotated being ∞ and with the fact that the letters making up the name Jesus in Greek add to 888.
    • the presence of 110 (111) whippings in the body, as in the equation 1 + 1 = 1.
    • a noticeable deadly parabola under the mouth whose logistic shape crosses the line, as its slope at the origin is steep.
    • the letter Ω identifying Jesus at the bottom of the tick parabola.
    • a three-dimensional bell right bellow with an Alpha in its side, hence identifying the one and only.
  • Rejoices at such findings and calls to God’s Kingdom.
Or So We Have Been Told
  • Summarizes, via an illustrated tale having nine segments, the message of the book.
O Great Convergence
  • Rejoices poetically at the associations in the book and calls to conversion.