Summary of “The Architecture of Time”

Lecture given by:
Howard Bliman, MD
at Santa Monica-Palisades Lodge
13 December 2017

At the dawn of the last century, two Freemasons introduced us to the equivalency of time. In his theory of relativity, Albert Einstein recognized that the structure of time is not rigid; it can twist and bend. A few years earlier, Mark Twain remarked that, “History does not repeat itself, but it does rhyme.” Both men understood that the principle of equivalency could stretch time in special ways.

To me, this means that the Golden Rule and golden mean, taken together, represent something deeply harmonious and remarkably universal. The Golden Rule of brotherly love refers to a universal principle of mutual respect and consideration. The golden mean, also known as the divine proportion phi = 1.618…, is a uniquely irrational ratio widely found in nature.

In 1202, Leonardo de Fibonacci, an Italian mathematician, introduced Europe to a series of numbers that would lead to phi. In 2011, an Israeli chemist, Daniel Schechtman, won the Nobel Prize in Chemistry for his discovery of phi-based quasicrystals. Schechtman used an electron microscope to make his discovery, but a Mason’s square and compass could have predicted it!

 

What’s so special about a square and compass? The square and compass are the only implements an architect needs to construct a golden spiral. A Fibonacci series of squares and phi rotations would allow him to recreate that beautiful sign of equivalence found in the spiral arrangement of stars in a galaxy, clouds in a hurricane, seeds in a sunflower, bubbles in a vortex, atoms in a quasicrystal, and quite possibly, the architecture of time.

About the Author:

Dr. Howard Bliman is a primary care physician in Westlake Village. He is also an internal medicine and quality improvement consultant at California State University, Northridge. He received his MD from the Keck USC School of Medicine, completed his residency at Kaiser Sunset, and became a member of the American Board of Clinical Lipidology, American Society of Hypertension, and American Society of Echocardiography. He has also published original research on vascular health.

The Derivation of Phi: Φ = 0.5 + 0.5√5 = 1.6180339887…

Step

Formula

Equivalent

Rationale

1

Φ2 – Φ – 1 = 0

Φ2 – Φ1 – Φ0 = 0

Quadratic Equation

2

2 – bΦ1 – cΦ0 = 0

2 – 1Φ1 – 1Φ0 = 0

Substitution

3

Φ = – b/2 ± ½ √ (b2 – 4ac)

Φ = – ½ ± ½ √ (12– 4 (-1))

Substitution

4

Φ = – ½ ± ½ √ 5

Φ = – 1.618… or + 0.618…

Calculation

The Derivation of Phi: Φ = 0.5 + 0.5√5 = 1.6180339887…

Step

Formula

Equivalent

Rationale

1

Φ2 – Φ – 1 = 0

Φ2 – Φ1 – Φ0 = 0

Quadratic Equation

2

2 – bΦ1 – cΦ0 = 0

2 – 1Φ1 – 1Φ0 = 0

Substitution

3

Φ = – b/2 ± ½ √ (b2 – 4ac)

Φ = – ½ ± ½ √ (12– 4 (-1))

Substitution

4

Φ = – ½ ± ½ √ 5

Φ = – 1.618… or + 0.618…

Calculation

Practical Application 1: The Law of Diminishing Returns in Biochemistry & Pharmacology

S

S

S / (S + K)

V

V

Φ–1

38%

Φ–1 / (Φ–1 + 1)

0.38

24%

1

0

1 / (1 + 1)

0.50

0

Φ

+ 62%

Φ / (Φ + 1)

0.62

+24%

Φ2

+162%

Φ2 / (Φ2+ 1)

0.72

+16%

S = substrate concentration or dose, K = binding constant, V = relative velocity or activity

Practical Application 2: The Orbits of Inner Planets are Connected by Phi

n

Planet

Miles From Sun

AU*

Predicted*

Φth

Error

1

Mercury

36.0 million

0.39

0.38

1/Φ2

-3%

2

Venus

67.2 million

0.72

0.62

1/Φ

-14%

3

Earth

93.0 million

1

1

1

4

Mars

142 million

1.53

1.62

Φ

+6%

5

Ceres

257 million

2.76

2.62

Φ2

-5%

*

Measured astronomical units (AU) and AU predicted by Φ

Practical Application 3: The Earth & Moon are Connected by a Keppler Triangle

#

Parameter

Measurement

Proportion

Φth

Expression

1

Radius of Earth

6,378 km

1

A

2

Radius of Moon

1,736 km

0.272

Φ – 1

3

Moon + Earth

8,114 km

1.272

Φ

B

4

Hypotenuse

10,321 km

1.618*

Φ

C

*

Φ accurate to less than 0.002%!

Practical Application 4: Climate & Fertile Soil Attracts Population Centers to Latitude 34.4*

#

Latitude

Hemisphere

Coast

City

Error

1

34.05 degrees

Northern

West

Los Angeles

-0.94% = -59 miles

2

34.22 degrees

Northern

West

Camarillo, CA

-0.18% = -12 miles

3

34.61 degrees

Southern

East

Buenos Aires, AR

+0.26% = +16 miles

*

Phi Latitude = 90 / Φ2 = 90 – 90/Φ = 90 x 0.382 = 34.38 degrees away from the equator

Practical Application 5: The Architecture of Time Recapitulates the Architecture of Sleep*

Rank

Stage

Minimum

Classification

Maximum

Ratio

Fraction

1

2

2 ½ h

Light Sleep

3 ½ h

1.6

42%

2

5

1 ½ h

REM Sleep#

2 h

1.6

26%

3

4

1 h

Transition to Deep Sleep

1 ½ h

1.6

16%

4

3

½ h

Deep Sleep

1 h

1.6

10%

5

1

20 m

Transition to Light Sleep

30 m

6%

* Based on 7½ hours of sleep between 11:30 pm and 7:00 am; # Rapid Eye Movement Sleep

Practical Application 6: Heart Rate & Time Interval Thresholds Are Serial Phi Ratios Apart*

#

Threshold

Electrocardiographic Diagnosis

Ratio

Error*

1

HR < 60

Sinus Bradycardia

2

HR > 100

Sinus Tachycardia

1.67

+3%

3

HR > 160

Supraventricular Tachycardia

1.60

-1%

4

HR > 240

Atrial Flutter

1.60

-1%

5

QRS > 0.08

Interventricular Delay

6

PR < 0.120 < QRS

Pre-excitation Syndrome, Bundle Branch Block

1.5

-7%

7

PR > 0.200

1st Degree Block

1.67

+3%

8

QT < 0.300

Short QT

1.5

-7%

9

QT > 0.480

Long QT

1.6

-1%

*

Relative to Phi Φ = 1.618, HR = heart rate (per minute), QRS & PR intervals in seconds.

Practical Application 7: Embryologic Milestones Are Serial Phi Fractals*

#

Weeks

Milestones

Ratio

Error*

1

6

First Brain Waves

2

10

Embryo to Fetus

1.67

+3%

3

16

Growth Spurt

1.60

-1%

4

24

Threshold of Viability

1.50

-7%

5

40

Term

1.67

+3%

*

Relative to Phi Φ = 1.618

Practical Application 8: Developmental Milestones are Serial Fractals*

Stage

Beginning of…

End of…

Ages

Ratio

1

Menarche

Formative Years

11-13

2

Rising Fertility

Adolescent Years

18-21

1.6

3

Declining Fertility

Apprentice Years

30-34

1.6

4

Menopause

Reproductive Years

47-55

1.6

5

Life Expectancy

Distributive Years

76-89

1.6

Reason for Hope.G

#

The architecture of time in:

Φ

1

Ratio

Error

1

Planetary orbits (mean sequential ratio from the Sun)

1.6187

1

1.6187

+0.04%

2

Keppler Triangle (Φ2 = √Φ2+12, Earth+Moon, miles)

10,321

6,378

1.6182

+0.01%

3

Moses, Jesus, Mohammed (mean seq. ratio from 2018)

1.6464

1

1.6464

+1.7%

4

Solomon’s Pilar (height versus circumference, cubits)

18

12

1.5000

7%

5

Garden of Eden, Ventura County (os from North Pole)

90

55.63

1.6178

0.02%

G

converges on a divine proportion…

1.6180

1.000

1.6180

0