- #1
plerza
- 28
- 0
I wrote this while I was bored at work earlier.
Measurable Theoretical Breakdown of the Universe: A Paper for Amusement
by Pete Lerza
11/10/2012
I’ve done all mathematics with fairly loose approximations. The purpose of this is not for scientific accuracy, but for a general understanding of a theoretical size of the Universe. The Names of the Large Numbers are in the American Standard form [then the European Standard Form] but not SI prefix or Greek-based forms. I decided to determine what percentage of the theoretical volume of the Universe that Earth consumes, then what percentage of the theoretical volume of the Universe that you consume.
To write a number in scientific notation: Put the decimal after the first digit and drop the zeroes. In the number 256,000,000,000
The coefficient will be 2.56
To find the exponent count the number of places from the decimal to the end of the number.
In 256,000,000,000 there are 11 places. Therefore we write 256,000,000,000 as: 2.56 x 1011
To begin, we assume that the Universe is 13.7 billion years old & that it takes light 3 x 10-9 s to travel one meter. We then convert the age of the Universe into seconds, divide the age of the Universe in seconds by the amount of seconds it takes for light to travel one meter & have an approximate radius of the Universe in meters.
(13,700,000,000 years)(365 days)(24 hours)(60 minutes)(60 seconds) = 4.32 x 1017 s
{432,000,000,000,000,000 s} {432 quadrillion [billiard] seconds}
4.32 x 1017 s is the age of the Universe in seconds
(4.32 x 1017 s) / (3 x 10-9 s) = 1.44 x 1026 m or 1.44 x 1023 km
1.44 x 1023 km is the Theoretical Radius of the Universe
A Diameter is determined by multiplying the Radius by 2
The Theoretical Diameter is 2.88 x 1023 km
We know the Universe is not a Circle or Sphere, but we do not have enough information to calculate the dimensions of an ellipse or elliptical sphere, so we will practice under the theory of which the Universe is a Circle, which should give us approximately the same percentages at the end.
Circumference of a Circle = π x Diameter
π (2.88 x 1023 km) = 9.05 x 1023 km
{905,000,000,000,000,000,000,000 km} {905 sextillion [trilliard] kilometers}
9.05 x 1023 km is our Theoretical Circumference of the Universe
Area of a Circle = πr^2
π(1.44 x 1023 km)2 = 6.51 x 1046 km2
{6,510,000,000,000,000,000,000,000,000,000,000,000,000,000 km2}
{65.1 quattuordecillion [septilliard] square kilometers}
6.51 x 1046 km2 is the theoretical Area of the Universe
Volume of a Sphere = (4/3)r3
(4/3)(1.44 x 1023 km)3 = 3.98 x 1069 km3
{398,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,0000,000,000 km3}
{3.98 duovigintillion [undecilliard] cubic kilometers}
3.98 x 1069 km3 is the Theoretical Volume of the Universe
Measurements in Miles: 1 km = 0.62 Miles
Radius: 8.9 x 1022 Miles
Diameter: 1.79 x 1023 Miles
Circumference: 5.62 x 1023 Miles
Area: 4.05 x 1046 Square Miles
Volume: 2.47 x 1069 Cubic Miles
The given Radius of Earth is 6,378.1 km. Earth is a Sphere.
Volume of a Sphere = (4/3)r3
(4/3)(6,378.1)3 = 3.46 x 1011 km3
{346,000,000,000 km3} {346 billion [milliard] cubic kilometers}
The Volume of Earth is 3.46 x 1011 km3
To determine what percentage of the Universe is Earth, we divide the Volume of Earth by the Volume of the Universe. To divide numbers in Scientific Notation, we divide the coefficients, then subtract the exponents.
(3.46 x 1011 km3) / (3.98 x 1069 km3) = (3.46 / 3.98) x 10 (11- 69) = 8.7 x 10-59 %
{0.000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 087 %} {8.7 octodecillionths [nonilliardths] of a percent}
The Earth consumes 8.7 x 10-59 % of the Theoretical Volume of the Universe
The average given Volume of a Human Being is 6.93 x 10-2 m3
We know the Volume of the Earth & the Theoretical Volume of the Universe in kilometers, so to convert 6.93 x 10-2 m3 to km, we divide by 1,000 = 6.93 x 10-5 km3
To determine what percentage of the Earth is a Human Being (You), we divide the Volume of You by the Volume of the Earth.
(6.93 x 10-5 km3) / (3.46 x 1011 km3) = 2.00 x 10-16 %
{0.000 000 000 000 000 2 %}
{2 quadrillionths [billiardths] of a percent}
You are 2.00 x 10-16 % of the Earth’s Volume
To determine what percentage of the Universe is a Human Being (You), we divide the Volume of You by the Theoretical Volume of the Universe.
(6.93 x 10-5 km3) / (3.98 x 1069 km3) = 1.74 x 10-74 %
{0.000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 01 74 %}
{174 trevigintillionths [duodecillionths] of a percent}
You consume 1.74 x 10-74 % of the Universe’s Theoretical Volume
Let me know your thoughts & feel free to contact me about anything that I mentioned, was vague about, or messed up on at <personal email deleted>
Measurable Theoretical Breakdown of the Universe: A Paper for Amusement
by Pete Lerza
11/10/2012
I’ve done all mathematics with fairly loose approximations. The purpose of this is not for scientific accuracy, but for a general understanding of a theoretical size of the Universe. The Names of the Large Numbers are in the American Standard form [then the European Standard Form] but not SI prefix or Greek-based forms. I decided to determine what percentage of the theoretical volume of the Universe that Earth consumes, then what percentage of the theoretical volume of the Universe that you consume.
To write a number in scientific notation: Put the decimal after the first digit and drop the zeroes. In the number 256,000,000,000
The coefficient will be 2.56
To find the exponent count the number of places from the decimal to the end of the number.
In 256,000,000,000 there are 11 places. Therefore we write 256,000,000,000 as: 2.56 x 1011
To begin, we assume that the Universe is 13.7 billion years old & that it takes light 3 x 10-9 s to travel one meter. We then convert the age of the Universe into seconds, divide the age of the Universe in seconds by the amount of seconds it takes for light to travel one meter & have an approximate radius of the Universe in meters.
(13,700,000,000 years)(365 days)(24 hours)(60 minutes)(60 seconds) = 4.32 x 1017 s
{432,000,000,000,000,000 s} {432 quadrillion [billiard] seconds}
4.32 x 1017 s is the age of the Universe in seconds
(4.32 x 1017 s) / (3 x 10-9 s) = 1.44 x 1026 m or 1.44 x 1023 km
1.44 x 1023 km is the Theoretical Radius of the Universe
A Diameter is determined by multiplying the Radius by 2
The Theoretical Diameter is 2.88 x 1023 km
We know the Universe is not a Circle or Sphere, but we do not have enough information to calculate the dimensions of an ellipse or elliptical sphere, so we will practice under the theory of which the Universe is a Circle, which should give us approximately the same percentages at the end.
Circumference of a Circle = π x Diameter
π (2.88 x 1023 km) = 9.05 x 1023 km
{905,000,000,000,000,000,000,000 km} {905 sextillion [trilliard] kilometers}
9.05 x 1023 km is our Theoretical Circumference of the Universe
Area of a Circle = πr^2
π(1.44 x 1023 km)2 = 6.51 x 1046 km2
{6,510,000,000,000,000,000,000,000,000,000,000,000,000,000 km2}
{65.1 quattuordecillion [septilliard] square kilometers}
6.51 x 1046 km2 is the theoretical Area of the Universe
Volume of a Sphere = (4/3)r3
(4/3)(1.44 x 1023 km)3 = 3.98 x 1069 km3
{398,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,0000,000,000 km3}
{3.98 duovigintillion [undecilliard] cubic kilometers}
3.98 x 1069 km3 is the Theoretical Volume of the Universe
Measurements in Miles: 1 km = 0.62 Miles
Radius: 8.9 x 1022 Miles
Diameter: 1.79 x 1023 Miles
Circumference: 5.62 x 1023 Miles
Area: 4.05 x 1046 Square Miles
Volume: 2.47 x 1069 Cubic Miles
The given Radius of Earth is 6,378.1 km. Earth is a Sphere.
Volume of a Sphere = (4/3)r3
(4/3)(6,378.1)3 = 3.46 x 1011 km3
{346,000,000,000 km3} {346 billion [milliard] cubic kilometers}
The Volume of Earth is 3.46 x 1011 km3
To determine what percentage of the Universe is Earth, we divide the Volume of Earth by the Volume of the Universe. To divide numbers in Scientific Notation, we divide the coefficients, then subtract the exponents.
(3.46 x 1011 km3) / (3.98 x 1069 km3) = (3.46 / 3.98) x 10 (11- 69) = 8.7 x 10-59 %
{0.000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 087 %} {8.7 octodecillionths [nonilliardths] of a percent}
The Earth consumes 8.7 x 10-59 % of the Theoretical Volume of the Universe
The average given Volume of a Human Being is 6.93 x 10-2 m3
We know the Volume of the Earth & the Theoretical Volume of the Universe in kilometers, so to convert 6.93 x 10-2 m3 to km, we divide by 1,000 = 6.93 x 10-5 km3
To determine what percentage of the Earth is a Human Being (You), we divide the Volume of You by the Volume of the Earth.
(6.93 x 10-5 km3) / (3.46 x 1011 km3) = 2.00 x 10-16 %
{0.000 000 000 000 000 2 %}
{2 quadrillionths [billiardths] of a percent}
You are 2.00 x 10-16 % of the Earth’s Volume
To determine what percentage of the Universe is a Human Being (You), we divide the Volume of You by the Theoretical Volume of the Universe.
(6.93 x 10-5 km3) / (3.98 x 1069 km3) = 1.74 x 10-74 %
{0.000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 01 74 %}
{174 trevigintillionths [duodecillionths] of a percent}
You consume 1.74 x 10-74 % of the Universe’s Theoretical Volume
Let me know your thoughts & feel free to contact me about anything that I mentioned, was vague about, or messed up on at <personal email deleted>
Last edited by a moderator: