Are you content with the materialist perspective of traditional Science?
1st Volume: Are there verifiable Patterns of Correspondence between the Living Algorithm & Life? Yes!
2nd Volume: Could Life employ the Living Algorithm to digest Information? Yes!
This Volume: What is the causal mechanism linking the behaviors of Life & the Living Algorithm?
Probability reveals static states, not the dynamics of causality.
The dynamics of Physics & the Living Algorithm reveal causality.
This volume focuses upon the dynamic symmetry between the 2 mathematical systems.
Necessary to 'explode' Newtonian Constructs: mass, time, space, and energy
Necessary to put Preconceptions aside to understand the Dynamics of Information
Dynamical structure of Physics crucial for an understanding of Info Power & Energy
Time to get to know the Living Algorithm's mathematical Essences, her Algebra
Basic Operations of Arithmetic: No proofs or computations
A derivative is a rate of change over time.
Infinite number of derivatives
Living Algorithm derivatives for Life; Calculus derivatives for Matter
Traditional derivatives computed via calculus’ mathe-magical processes, hence intimidating.
Differentiation produces Derivatives: Instantaneous Rates of Change
Integration: an infinite sum of infinitely small derivatives comes up with something.
Instantaneous derivatives ideal for describing Instantaneous Matter.
Newton's Law of Motion: Automatic Processes, no Cause & Effect, with Instantaneous Matter
Differential equations, a combination of differentiation and integration, employed to characterize all material interactions.
All Material Interactions are Automatic
If all is Matter, then there is no choice.
If Living Matter exerts choice, then it is not only Matter
An abundance of evidence indicates that humans & cells are involved in decision-making.
Life must have another component.
Interested in animate systems, not the inanimate systems of calculus
Is there a mathematics of change/calculus for human beings?
Humans & other living systems thrive on Meaningful Information.
Traditional Information Theory addresses Information without Meaning
Electronic digital information is inert without humans to impart meaning.
Meaningful information employed to make choices
Electronic Information contains Potential Meaning
Life must digest Inert Information to transform it from potential to actual meaning.
Living Systems impart Meaning by understanding Changes.
Meaningful Information is Dynamic, not Static like Electronic Information.
History is the prime Difference between Static and Dynamic Information/Meaning = Information with History
Life digests Inert Information, transforming it into Dynamic Information
The Living Algorithm Algorithm creates Dynamic Information (Inert Information with History)
Mathematics of the Moment Notebook: Living Algorithm uniquely suited to be Life's Computational System
Discretized Information vs. Continuous Matter
Discretized Data Stream Derivatives vs. Instantaneous Material Derivatives
Velocity & Acceleration: the 1st 2 derivatives
Derivatives based in larger time increments are averages of smaller time increments.
As the time increment & distance traveled approach 0, the rate of change remains constant.
Derivatives of calculus based upon differences between adjacent points.
Instantaneous Material Derivatives isolated from the Past.
Data Stream Derivatives intimately connected to the Past
Calculus Derivatives isolated; Data Stream Derivatives connected
Differences between Calculus Derivatives and Data Stream Derivatives
Incremental nature of data stream dynamics enables possibility of choice for Living Systems
Living Algorithm System produces Dynamic Information from Inert Information
Infinite number of Derivatives
Force is a Function of Acceleration in Material Dynamics.
All other equations in Physics derive from Force Equation.
Author initially dismisses higher data stream derivatives.
Data Stream Dynamics contains scalar derivatives and directed derivatives.
Higher scalar derivatives provide little meaning.
Higher 'vector' derivatives, the Liminals, seem to mimic subconscious mental processes.
Core Concept Approach to teaching based upon the 10-minute rule.
Continuous Approach & the 'Eyes Open; Nobody Home' Phenomenon
2 Data Streams chosen to simulate 2 Teaching Techniques. Data Stream Derivatives examined.
Continuous Derivatives suggest 'Eyes Open; Nobody Home' Phenomenon
Gravity, a constant acceleration, an influential force
Consciousness, a constant acceleration, but devoid of comprehension
The Mathematics of the 'Eyes Open; Nobody Home' Phenomenon
The Mathematics of the Core Concept Approach
Constant Content maximizes Derivative Change; Changing Content minimizes Change.
Higher Derivatives significant to Living Matter; Insignificant to Inert Matter.
Summary of Differences between Derivatives of Calculus & Data Streams
Humans symbolize experience to further Self-actualization process.
Language, a more precise method of symbolic representation
Numerical relationships of mathematics provide greater symbolic precision
Pythagoras (570-500BC?): Mathematics and musical harmony
Algebra, the written language of mathematics
Modern Mathematics and algebra synonymous
Precisely defined algebraic symbols organized into expressions, equations, and proofs
Article’s intent to explore the Living Algorithm’s algebraic symbols
Elements of the Living Algorithm
A Verbal Description of the Living Algorithm
Living Systems go through a similar process
Spiral decay of digitized data
Nested Nature of Self-Referential Equations yields Complexity
Living Algorithm & Life self-referential
Living Algorithm & Life regenerative
Both Digest Data
Potential connection to Living Systems
Potential Evolutionary connection
Conclusions
General Living Algorithm produces all the data stream derivatives
Living Algorithm's Family of Derivatives – the Generations
Family's Daughter & Son have their own General Equation for their family line
Basic & General Living Algorithm Similarities
Triangles (Rate of Change)
Arrows (Direction of Change) for Directionals - the Daughter's side of the Family
Bars (Range of Variation) for Deviations - the Son's side of the Family
Living Algorithm's Family of Central Measures – the Generations
Subscripts & Superscripts to determine Location & Generation
First Directional & Deviation: Daughter & Son in the First Generation
Living Average: Mother, the Original Generation
The Liminals: the Subsequent Generations
Mean Average: the Ancestor – no superscripts or subscripts
Universality of Living Algorithm
Living Algorithm lives to digest Data Streams
Computer Revolution enabled Study
Dynamic Graphs reveal Family's Behavior
A Data Stream of 1s produces a Picture of Six Generations of Directionals
Accessible Graph vs. Dry Equation & Data
Living Algorithm's Elasticity very Pragmatic
What is the connection between Living Algorithm Mathematics and Human Behavior?
Data Stream Velocity & Acceleration basis of understanding Data Stream Power
Differentiating Velocity & Acceleration of Crucial Relevance to Study
Newtonian Constructs bridge Matter & Life?
Committed to Accessible Mathematics
Living Algorithm generates contextual velocities and accelerations
Living Algorithm generates Living Average – a contextual velocity
The Directional as a Contextual Acceleration
Everyday notions of Velocity & Acceleration
Directional = Rate of Change of the Rate of Change (to the 2nd Power)
Incredible Self-Referential complexity of Directionals
Physical Velocity & Acceleration require Space & Time
Info Time = Duration between Living Algorithm Iterations (Repetitions of the Process)
How the Analog Physical Matrix and the Digital Information Matrix interact with Time
How the Physical & Information Matrices interact with Space
Differentiating noise from meaning
Attention is attracted to Info Acceleration, not to Info Velocity
Velocity & Acceleration at the Heart of Data Stream Dynamics
Data Stream Acceleration: Random Data Stream Low – Organized Data Stream High
Attention focuses upon Data Stream Acceleration to weed out Random Data Streams
Data Stream Dynamics provides understanding of Living Algorithm Transformations
1st Volume establishes Correspondences; 2nd Volume establishes Plausibility
Current Volume attempts to provide Causal Mechanism via Dynamics
Time to explore Data Stream Space & Time
External World constitutes Objective Reality
Sensory Mechanisms evolve to support theory of Objective Material Reality
Internal Information Digestion creates notion of External World
External vs. Internal regarding Time & Space
External Time is Non-elastic & Objective; Internal Time is Elastic & Subjective.
Objective External Time created by crosschecking Data Streams
Internal Time elastic and subjective
Continuous Info Flow broken into Discrete Chunks for 2 Reasons.
Data Stream's Discrete Chunks called Increments.
Data stream time subjective because there is no objective way of measuring increments.
Interactive Feedback loop between two data streams crucial for survival
Speed of Feedback Loop is Variable
Speed of the feedback loop an evolutionary factor
Speed of feedback loop determines Data Stream Time
Conscious Control over Feedback Loop imparts Elasticity, Subjectivity to Data Stream Time
Time is the same; Interaction determines difference
Subjective Data Streams merged to create Objective Physical Time
The Explosion of Time to include Objective Physical Time and Subjective Info Time
Matter Changes External Location – Information Digester perceives from Fixed Internal Location
External world is just a theory developed by our Information Digester
Biological Information Processing determines our perceptions
Our Brains process a dynamic flow of Information.
Data Stream Parameters determine Dimensions of Info Space
Composite Data Streams create Notion of external, objective Reality
Example: Notion of Space requires Info from both Eyes & Ears.
Redundancy for Accuracy
Raw Data Streams create internal, subjective reality
X-axis = Time, Y-axis = Space
Data Stream Time intervals comes in Increments
Range of Data Stream determines Limits of Data Stream Space
Data Stream Space has endless variety; only one infinite Physical Space
Because Raw Data has no connectivity, it does not move through Time.
Living Algorithm Digestive System provides connectivity to a Data Stream.
Binary Data Stream does not move through Time
Living Algorithm's Living Average moves through Time
Living Average takes a round trip – from 0 to 1 to 0
Living Average indicates location in Space and Time. Comparing Locations yields rates of change.
Data Stream Space & Time = Discontinuous; Atomic Space & Time = Continuous
Opening & Closing Formal Systems: a standard process in the Scientific Enterprise
Despite fundamental differences, Matter & Info Digestion have a common architecture of dynamics.
Informational measures variable & subjective; Material measures fixed & objective.
Information from Subjective Internal World basis of our Notion of Objective External World.
Despite subjectivity, the Living Algorithm's Mathematical Mechanisms inform our world in amazing ways.
What is the Relevance of Info Space & Time?
Common System of Dynamics provides Causal Linkage between Living Algorithm System & Behavioral Reality.
What is Data Stream Mass, the 3rd fundamental construct of dynamics?
Info Space & Time Internal & Flexible: Physical Space & Time External & Fixed
All Biological Systems regularly employ subjective Info Space & Time
Senses organize Raw Data into Digested Streams
Dimensions of Info Space & Time based upon Organism's Processing Ability
Brain creates 'Objective External Reality' from 'Subjective Internal Reality'
Redundancy Loops to establish accuracy
Educated guesses employed to make decisions about Physical & Psychological Reality
Despite differences, Space & Time useful Constructs for Physical & Info System
Understanding Info Space & Time crucial to understanding of Info Velocity & Acceleration
Beauty of Newtonian Dynamics: Architecture applies to Matter & Information
Architecture of Dynamics built on Space, Time, & Matter
Velocity: First Floor
A Car accelerates onto freeway until achieving cruising velocity
Physical Difference between Acceleration & Velocity
Mass crucial foundation to reach higher floors
Without Mass, Velocity & Acceleration are mere abstractions.
Organism’s perception of Data Stream conveys meaning.
Mass of Attention powers Data Stream Dynamics
External Mass Fixed & Objective, Internal Mass Variable & Subjective
Contrasting Features complement respective Systems
Mass provide Pragmatic Substance to respective Systems
Force = Mass times Acceleration
Physical Mass: How many protons and neutrons an object consists of
Mass of Attention transforms Data Stream Acceleration into Force of Attention
Force introduced as adjunct to Mass
Mathematics of Dynamics specializes in Rates of Change (Derivatives)
Force (the 3rd Floor) applies equally to Dynamics of Information and Matter
Observer required for material systems to have relevance to Living systems.
Matter, the Participant, & Attention, the Observer, obey the same Laws of Dynamics
Same relationships, but Features of Foundations entirely different
Attention's Function to alert Organism of Changes in the Automatic Behavior of Matter.
Matter/Participant passively automatic; Attention/Observer active in decisions.
Yin-Yang graph of Attention/Observer and Matter/Participant
Traditional Dynamics focuses on Participant: Info Dynamics upon Observer
Subjective constructs of Information Universe determine Objective constructs of Physical Universe
Space, Time, and Mass are the foundation for the Architecture of Dynamics
Mass of Attention & Matter provides Substance for Velocity & Acceleration
Mass transforms Velocity into Momentum, Acceleration into Force
Introduction
Galileo challenges traditional wisdom of Aristotle
Experience invalidates Aristotle’s Theory that Objects fall at the same speed
Galileo sets up scientific experiments to see how they fall
Inclined plane to slow descent (∆d)
Water with finger as stopper (∆t)
Initial results: Ball moves quicker and quicker
Math reveals that Velocity’s rate of change (Acceleration) is constant
Acceleration to Force to Energy to World Transformation
First time: Mathematics employed as a tool to analyze physical change – dynamics
Current study employs same Mathematics to analyze dynamics of behavior
Like Galileo's studies, Triple Pulse Study based upon Acceleration
Testing Aristotelian Theory that size is a factor in the speed of falling objects
Aristotle's hypothesis disproved: Size & Weight not a factor in falling speed
All Objects fall at same acceleration regardless of Weight or Size
Ancient: objects move to the natural state of rest.
Renaissance: Object’s natural state is constant speed
Greco-Roman view associated with animism
Inclined Plane Results dispel Material Animism
As incline flattens, acceleration decreases, until zero
Inertia: Objects, natural resting state, a constant speed
Resistance to Newton’s Material Attractions
State of rest and state of constant speed equivalent
Magic Question: What environmental factors change natural state?
If we can identify environmental factors, we can manipulate them to our advantage:
Took centuries to unlock Door to Technology with Galileo’s Key
Newton standing on Galileo’s shoulders
Copernicus’ idea catalyzed Galileo’s modern scientific method
Emerging Materialist view leads to Scientism
Scientific Skepticism challenges current paradigm
Descartes employs Deductive Reasoning to determine Truth.
Euclid inspires Descartes to only employ Deductive Reasoning to build his System.
Exclusive Deductive Approach denies Power of Induction
Descartes: "Mind & Body are separate. God's natural laws rule the Body."
Father of Scientific Determinism
Deductive reasoning leads to amazingly accurate conclusions
Descartes noticed that Momentum is conserved when 2 Objects Collide.
Descartes accurately infers Universal Law: Conservation of Momentum
Descartes generalizes Matter’s mechanistic behavior to Humans
Universal Momentum supports inertia, undermines animism
Two-Body Interactions generalized to Universe
Descartes was one of Newton’s Giants
Descartes’ work descriptive; no causal mechanism
Author initially employs Living Algorithm in a descriptive fashion with no causal mechanism
Descriptions require a Causal Mechanism to acquire deeper Scientific Validity
Galileo & Descartes provide descriptions, but no mechanism for change
Newton: Accelerating Mass to change the Natural State
Galileo’s Results + Newton’s Laws of Motion = Gravity
The Mathematics
Force a function of distance, time, and mass
Force: the 3rd floor of the Architecture of Dynamics
Force of Attention changes Data Stream Momentum
Attention's attraction to Acceleration creates a Force
The Force of Attention can change personal momentum
Creative Pulse, pure and interrupted, a picture of Data Stream Force
The Triple Pulse, a snapshot of Data Stream Force, pure & interrupted
Must play by Data Stream Rules to maximize potentials