Analysis of Potentiation Bias Within Non-Random Sequence Data:
Excitation Transfer Theory in Liturgy

By
Dallas F. Bell, Jr.

(On 18 March 2013, this paper was accepted for presentation at the May-June 2013 conference of the Association of Christians in the Mathematical Sciences, ACMS, at Bethel University in St. Paul, Minnesota.)

Abstract: Potentiation's enhancement of one agent by another agent causes the combined effect to be greater than accomplished separately. Over time a bias for repetition develops between those entities. Sequence data can be shown to be non-random. Beginning with mathematical sets, it is argued that there can be no true randomness. DNA sequences, biological and behavioral sequences are also demonstrated to be chronologically a priori of intellect to outcome. Excitation of emotions transfers an emotion to other emotions in cause and effect potentiation(s). The religious practices of liturgical standards culminate in the highest accretion sequence of collective behavioral bias for the human worship experience.

Keywords: potentiation, non-randomness, sequences, excitation transfer theory, liturgy.

Potentiation is the enhancement of one entity by another entity so that the combined effect is greater than the same effect accomplished separately. This transmission is observed between two neutrons.[1] With neurons, the effect can be described as long term, short term, or post activation. The juxtaposition of the neurons or agents for the purpose of producing a greater combined effect cannot be random. This process requires intellect to accomplish the purposed effect.

A piece of steel and a piece of wood can be combined to make a hammer. That tool can be used to make work more efficient. A bias of this potentiation can be created toward the use of efficient agents and is not random. Of course, a priori chronology of intellect is required before the potentiation. That in limine cause to effect sequence is not isotropic and eliminates the conception of randomness.[2]

Randomness is intellectual noise which is in reality non-randomness without specific use. For example, the numbers 1, 2, 3 etc. are in order and are not random but specific chosen numbers make them useful, as in a geometric sequence of 3, 6, 12, 24 etc. with each succeeding number reached by the multiplication of 2 by the preceding number. There is nothing new under the sun.[3] This means that everything that is possible has been and positively affirms non-randomness, repudiating the possibility of newness from randomness. Humans are subject to this reality of non-randomness and must face the consequences of resisting it.

Given the order of the macro universe to the micro neuron, non-randomness exists independent of human intellect. It is objective truth for all people and is order from an orderer—God. Infinite binary sequences[4] are considered random if they have all definable properties. But there is no generally accepted formula in set theory for a definable set. Therefore, a formula for random sequences can not be written.

The standard axioms of set theory do not rule out the possibility that every set is definable, within the assumption of consistency. Skolem's paradox[5] addresses many questions on this issue. In any model of set theory the collection of definable sets are countable from outside the model. Since the model is countable, nothing prevents every set from being definable. Infinite totalities in mathematics are necessarily treated as existing[6]-- finitum non capax infiniti.[7]

Math is a language and is thusly non-random. It has a sequence of expression of thought from one intellect to another intellect for the purpose of understanding and use. An infinite sequence of real numbers can be a sequence that is neither increasing, decreasing, convergent or Cauchy but is bounded. With real numbers, each Cauchy sequence[8] can converge to the same limit and is convergent iff (if and only if) it is Cauchy.

Like math, all of nature communicates its laws, order and beauty as a book written by an eternal pre-existent Creator with intellect that purposed the communication to lesser created intellects. Nature is the medium of general de fide revelation of ideas. It is a theophany of visible manifestations of the invisible God. The limits to our perceptions can be seen when an artificial bias in the mapping of different parts of a genome is introduced into cross-correlation computation resulting in incorrect fragment-length estimates.[9]

Destructive schizophrenic behavior[10] seems random by rational standards, but is structured decision-making behavior for a perceived reality and is a non-random sequence of behavior as is with mathematical options.[11] DNA can be sequenced by determining the precise order of nucleotides within a DNA molecule. A strand of DNA has an order of the four bases: adenine, guanine, cytosine, and thymine.[12] The DNA sequence is made up of 3 billon base pairs in perfect order, like the letters of an alphabet.[13] This order or effect can be reasoned to its cause(er) in an aitiological argument as was made in part of Bonaventure of Bagnoregio's (c.1217-1274) three-fold way to God.[14]

This does not preclude the struggle, at times, to see God's design. The poet, Reinhold Schneider (1903-1958), wrote in his diary "ÉGod is as close as He is distant. In the presence of this inestimably large world of forms, this terrible abundance of inventions, it is impossible to deny Him."[15] Thomas Stearns Eliot's (1888-1965) poem Gerontion had a theme regarding the difficulty of internal struggles described as "waiting for rain." Eliot suggests not dancing "round that prickly pear[16]"—"En vain tu mêleras.[17]" William Blake (1757-1827) wrote about skeptics, "Mock on, Mock on, Voltaire, Rousseau...tis all in vain."

The biological sequence can lead to behavioral sequences. Fat cells create estrogen. The greater the accumulation of fat cells the more estrogen and the lesser production of testosterone and sperm is in males as well as is the greater the sperm abnormalities.[18] Fat contains an aromatase enzyme that converts testosterone into estrogen and causes a negative-feedback operation that reduces testosterone production at the level of Leydig cells.[19]

Efficient societies produce an abundance of food for a large percentage of its citizens. It is common, at that point, to begin consuming more calories than is necessary to physically perform daily activities. This overeating produces fatter people and the males will become less aggressive, be more effeminate, have lower levels of offspring, and have less muscle development. Obesity and gluttony is credited with the demise of the Greco-Roman and Byzantine empires.[20] The Mediterranean diet[21] was created by their respective society's intelligentsia to treat rampant obesity prior to their fall.[22]

Behavioral sequences can lead to biological sequences. For example, the more human contact is made with animals the greater the transference of animal diseases to humans. Under normal conditions, zoonotic diseases should statistically increase as human populations increase, thereby intensifying human interaction with animals with communicative diseases. It has been recently reported by the Toronto Star that animal diseases are jumping species at a rate of one per year.[23]

It is also known that viewing pornography changes sexual appetites, values, and the behavior of its viewers. Pornography conditions people to deviancy and the reward of stimulation creates addictive behavioral patterns. Males loose respect for women and trivialize rape. Generally, there is an īnfāmātum escalation in violent sexual activity, less satisfaction with sexual partners and the partner's sexuality, more sex without attachment, increased disrespect for marriage and sexual morals in society.[24]

The desires and behavior of U.S. children (ages 9 to 11) have been changed by viewing celebrity based entertainment. This group's number one value is to find fame. That superficial goal ranked fifteenth in 1997. The study's co-author, Patricia Greenfield at the psychology department of the University of California (Los Angeles), said that these children may give up on preparing for careers and establishing realistic personal goals.[25]

Luis De Molina (1535-1600) is credited with creating the religious doctrine which attempts to reconcile the providence of God with the freewill of humans. Molinism holds that in addition to knowing everything that does or will happen, God also knows what His creation would freely choose. This allows for the accuracy of Divine prophecy.

Human behavior and biological sequences lead to a fulfilling of Divine prophecy. The first category of Divine prophecy is biblical and is considered to be infallible and immutable as Jesus said the Scripture is true,[26] He was the truth,[27] and if you don't believe Him you can't believe heavenly things.[28] For example, Christology begins with the Word being made flesh and dwelling among us.[29] Jesus' coming was described in biblical prophecy as a Prophet,[30] Priest,[31] King,[32] Messiah and Christ,[33] Son,[34] Rock,[35] Counsellor and Prince of Peace,[36] Branch[37] and the Root of Jesse.[38]

Jesus represents transcendent good so that humans can have a universal standard of good without which there can be no good. Transcendent good is beyond human ability and requires transcendent grace for forgiveness and Divine salvation.[39] For this salvation He gave His life in this temporal realm so the eternal realm would increase. That paradox can be seen when a kernel of wheat dies so that it might reproduce. If we say that Jesus was good, such as healing the sick and giving hope to mankind, we must also accept the label that He described as evil, such as sin.

The second category of prophecy is extra biblical. This area is open to skepticism but does not negate possible truth. For example, St. Malachy (1094-1148) predicted the description for 112 Popes. To date, he is considered accurate. He identified the 268^th Pope as Petrus Romanus (Peter the Roman) and he prophesied him to be the last Pope to follow after the Gloria Olivae (Glory of the Olive) for which Pope Benedict XVI was known. Benedict took his name from Saint Benedict of Nursia, founder of the Benedictine Order, of which the Olivetans are one branch.

According to Malachy's list, this final true Pope, Francis (b. 1936, Jorge Mario Bergoglio), was recently selected.[40] He is expected to resist growing world unrighteousness until the city of seven hills is destroyed ending his term.

Excitation-transfer theory, developed by Dolf Zillmann,[41] explains that residual excitation from one stimulus will amplify the excitation response to the other though the stimulation may differ. For example, the anger a witness to a horrific crime may intensify the joy when the criminal responsible for the crime is caught and punished. This is a type of potentiation bias toward a desired non-random sequence of justice.

In hymnody,[42] a sequence can be a chant or hymn sung or recited during a liturgical celebration before the proclamation of the Scripture or Gospel. Liturgy (Gr. leitourgia) is academically defined as a public duty or service to God in communal worship. Liturgy is accepted as the customary public worship done by a specific religious group according to Divine inspired traditions to lessen shibboleth.[43] It includes praise of God, thanksgiving to God, munera intercession for others, confessions to God, supplication to God, and repentance. The biblical roots of liturgy for Christians are applied to Sunday and mid-week services, as well as Easter celebration of Jesus' resurrection, Christmas, the Lord's Supper (called the Holy Communion)[44] etc.

Those basic liturgical patterns and leadership style may vary from place to place and time to time. For example, St. Augustine (354-430) saw the Lord's Supper as the figurative taking of Jesus' blood and body, whereas others may teach a more literal approach as with the doctrine of transubstantiation. John Owen (1616-1683) warned against the liturgy's penumbra tendency to wickedly add to Scripture.[45] There are biblical doctrinal limits to liturgy: can not sell indulgences because only God can redeem us,[46] there is no other latrīa[47] mediator except Jesus,[48] prayer is to God the Father,[49] no other is our Godly Father,[50] all fall short of the glory of God,[51] confess sin only to Father God.[52] Pauline Scriptures seem less concerned about individual behavior[53] in a church building[54] than about church as a group of people that are the body[55] and bride[56] of Christ.

In conclusion, potentiation bias can be seen in the sequencing data of math, biology and behavior. Human emotions[57] can be excited and transferred to other emotions,[58] much like neurons transfer signals from one to another. Over time this potentiation creates a bias to repeat the increased effects. Church liturgy is a pattern of collective religious activities based on biblical constructs for holiness. Following those doctrines creates the potential for Holy Spirit[59] presence that can multiply the accretion effect of worship experience of its practitioners beyond separate experiences.