Inferences must stick to the mathematical facts of the model.
The Triple Pulse results are Pure Mathematics.
Original Theory: ‘Breaks necessary to maximize creative output.’
Personal Experience confirmed Prediction
Experimental Results: Interruptions to the Rest Pulse
Experimental Results: the Head start Experiment
Inference: 'Interrupted Sleep' impairs Potentials of the following Day
Inference: Shortened Sleep Cycle impairs Output Potentials of following Day
Personal Perception of Sleep Deprivation’s Harm
Which Mental Faculty does is Sleep Deprivation dim?
Sleep deprivation, not interruptions or lack of energy, diminishes day's potentials.
Parallels: Rest Pulse <=> Sleep; Active Pulse <=> Cognitive Abilities
Just a coincidence?
Is the explanation for the linkage traditional or perhaps mathematical?
For plausible answers, more investigation is required.
Does the Living Algorithm’s Triple Pulse parallel any other features of sleep?
What is the Current Scientific viewpoint regarding the Necessity of Sleep?
Science doesn't know why we sleep, even though it is an essential human need.
Sleep rests our body, not our brain.
Body shutdown turns us into helpless prey.
Why did evolution sacrifice defense for sleep?
Contemporary Scientific understanding regarding the necessity of sleep
Why is Sleep a necessity?
Mathematical Fact: Rest Pulse necessary to refresh Active Pulse
Sleep Deprivation correspondences with Triple Pulse
Triple Pulse inference: Sleep refreshes our ability to think.
Evolution chooses refreshed thinking over security from predators.
No contradictions between theory and fact
How does sleep refresh our ability to think?
The Living Algorithm’s mathematical behavior mimics Human Behavior regarding Sleep & Interruptions.
Cognitive Abilities and Sleep linked with the Living Algorithm’s Active and Rest Pulses.
What does Living Algorithm Mathematics say about Naps?
Triple Pulse: Relativity of Time
Relativity of Session Duration
The Pulse of Attention can be associated with any time duration.
Due to time flexibility, Triple Pulse behavior applies to both Naps & Night Sleep.
Triple Pulse prediction: Naps should refresh cognitive abilities and performance.
21st century science: Naps improve performance
Why do Naps enhance Cognitive Performance?
Science's tentative explanation
Incomplete Scientific Understanding
Experiments validate Triple Pulse correspondence w/Naps
Experimental results: Naps clear short-term memory storage for more information
Implication: Opportunity to clear short-term memory storage
Is clearing memory storage the same as digesting residual information?
Does sleep provide an opportunity to integrate information?
Why do humans need down-time to clear short-term memory storage?
Reasons for break not found in continuous processing of a computer
Evidence indicates that the Brain requires down-time.
Triple Pulse behavior mimics human behavior regarding Naps.
Logical Chain linking Triple Pulse & the Importance of Naps
Could a Rest Pulse refresh our ability to think?
Could sleep provide time to digest information?
Tantalizing Questions regarding nature of intriguing Correspondences
Link to more Evidence
Mathematical Mystery: Why Interruptions to the Rest Pulse affect the Active Pulse
Neurological Mystery: Why is the brain incredibly activity during sleep?
3 Inherent Features of the Living Algorithm
Triple Pulse: a visualization of the Directional, the Daughter
Liminals: the Grandchildren of the Living Algorithm Family
Liminals also zero out at end of each Pulse
Interrupted Liminals prevent Rest Pulse from zeroing out
Liminals' Turbulence disrupts Rhythm of Ensuing Pulse
Family, Team, Liminals must work together to maximize performance
The Neurological Mystery
Triple Pulse components: Green Active & Rest Pulses and Multi-colored Liminals
Agenda of Liminals independent of Pulse
Liminals: Subconscious Cognition?
Definition corresponds with Experience
Liminals: Reason for Name
Theory: Subconscious continues to process Info while we sleep
Suggestive Associations lend credence to Theory
Infinite Subconscious versus a Point of Consciousness
Infinite number of Liminals and their relationships: Just one Triple Pulse
Living Algorithm Info Patterns suggests Answer
Mathematics: Rest Pulse required to digest Energy Accumulation from Active Pulse
Subconscious requires Sleep to completely digest Energy Accumulation of the Day
Intense brain activity during sleep: Subconscious (Liminals) working overtime to process info
Theory requires many support articles, but opportunity to meet Liminals
Is this correspondence yet another coincidence linked by a confounding variable?
Our Source (once again): Medina’s brain rules
Dement’s “Opponent Process Model”
Mysterious ongoing Conflict – day and night
Counterintuitive results: Need for Rest does not drive Biology of Sleep
Composition of Opposing Armies
Mechanism behind opponent process model remains a mystery.
Living Algorithm's digestive process reveals a data stream's ongoing rates of change (derivatives).
X-axis, the number of iterations; Y-axis, relative values
Living Average: the 1st Derivative of a Data Stream
The Rise of the Triple Pulse's Living Average
The Fall of the Triple Pulse's Living Average
Alternation of '1s' string and 0s string maximizes changes in the Living Average.
Triple Pulse battle between an army of 1s and an army of 0s.
Army of 0s (System S) and Army of 1s (System C); Living Average, gauge of battle's progress.
After the Army of 1s wins the battle, the Army of 0s takes over.
Simplistic Battle makes no sense.
If Process Sleep wins the war, we enter a coma and die.
What's wrong with Process Consciousness winning the war?
Endless string of 1s to symbolize what happens if Process C won the war
The Data Stream's Rates of Change (Derivatives) flatline, if Process C wins the war.
Graph: Derivatives of a Data Stream of 1s
Cooperation to maximize potentials makes complete sense
Both Models – Mathematical & Dement's – are metaphorical abstractions of Empirical Reality.
All Models are Metaphorical Abstractions
Pattern Recognition: a Preliminary Filter, but no Causality
Next Stage: An Examination of the Model's Underlying Logic for Explanatory Power
The Advantage of Mathematics: the Underlying Logic is Crystal Clear.
Dement's Model based on non-mathematical Military Metaphor
The Strength of Mathematics: Universality
Review Correspondences between Triple Pulse and Sleep Deprivation for understanding
Process C's Army of 1s generates Active Pulse; Process S's army of 0s generates Rest Pulse.
Relationships mimic each other
Periodic Alternation of Active & Rest Pulses to avoid stagnation & refresh potentials
Active Pulse associated with cognitive abilities in Sleep Deprivation study
Active Pulse symbolizes Mental Energy, rather than cognitive abilities.
Timed Repetitions required to change Neural Networks/Cognitive Abilities.
Neural Networks/Cognitive Abilities are Relatively Stable.
Energy required to utilize Tools.
Energy has a physical and mental component.
Sleep Loss leads to loss of Mental Energy, which, in turn, leads to Diminished Cognitive Performance.
Suppose the Data Stream Derivatives are associated with System's Mental Vitality.
Derivatives up; Mental Energy up; and vice versa.
If the army of 1s (Process C) remains in control for too long, the System's mental vitality vanishes.
Alternating streams of 1s & 0s maximizes System's vitality.
Cooperation to maximize potentials – Not a war of destruction
Do Process Consciousness & Process Sleep alternate to maximize vitality?
Number Strings of 1s and 0s as armies of workers, rather than battling soldiers
Numbers are a Bundle of Information Energy that works to change the Living Average to their side.
At point of victory, Workforce of 1s has finished their job.
The longer a workforce has controlled the field; the more likely they have finished their task.
If a cooperative relationship between workforces, what are the complementary tasks?
String of 1s symbolizes Conscious Attention & generates the Pulse of Attention.
The Pulse of Attention: a pulse of Mental Energy
Task of Process C, the mental energy generator: accumulate and assimilate Fresh Information.
Process S: no more mental energy of Attention.
Why couldn't Process Conscious continue forever?
Mental Energy of Attention based upon method of information digestion, not physical energy.
Efficient Use of Attention maximizes Mental Energy
Insufficient downtime also inhibits Pulse's ideal potentials
Duration of Downtime & Attention must be just right to maximize Mental Energy.
Task of Process S to provide downtime to digest leftover mental energy
Attention begins the Information Digestion Process; Sleep finishes it.
Exact parallel suggests Biological Forms mimic Mathematical Forms
Could Biological Forms have evolved to take advantage of the Living Algorithm System?
Biology also adapts to earth's 24 hour revolution
Although math-driven, Biological mechanisms take precedence
Triple Pulse: a plausible and powerful mathematical explanation for the biology of sleep
Do Triple Pulse thresholds trigger the C & S processes?
Immaterial Mathematical System linked with 5 Cognitive Phenomena
No Traditional System proposed to model Cognitive Mysteries
Living Algorithm Mathematics links enigmatic Phenomena
Triple Pulse: Malleability of Time
Evolution of Concepts associated with the Active & Rest Pulses
Pulse Associations mutually supportive, not contradictory
General Correspondences mutually supportive, not contradictory
A Table: How the Meanings of the Active and Rest Pulses have evolved
The Evolution of the Liminals: Subconscious Cognition
Six mathematical processes parallel five diverse phenomena
A Table: Triple Pulse Processes & Experimental Reality
A Correlation between System & Phenomena or a Confounding Variable?
No Whys, although Multiple Whats (5 linkages)
Answer to Why frequently lags the Answer to What
Could the Living Algorithm System be Life's Info Processing System?