assuming the age of universe is about 10^15 is whereas the average human is about 10^10s then average lifespan of human if the age of universe is scaled down to 2 days would be

To find the average lifespan of a human scaled down to a universe that is only 2 days old, we can use a simple ratio based on the ages you've provided. The age of the universe is approximately 10^15 seconds, and the average human lifespan is around 10^10 seconds. By scaling down the universe's age to 2 days, we can determine how long a human would live in that context.

Setting Up the Problem

First, let's clarify the numbers:

• Age of the universe: 10^15 seconds
• Average human lifespan: 10^10 seconds
• Scaled age of the universe: 2 days = 2 * 24 * 60 * 60 = 172,800 seconds

Calculating the Scale Factor

To find the scale factor, we can divide the scaled age of the universe by its actual age:

Scale Factor = Scaled Age of Universe / Actual Age of Universe

Substituting the values:

Scale Factor = 172,800 seconds / 10^15 seconds

This gives us:

Scale Factor = 1.728 x 10^-10

Finding the Scaled Human Lifespan

Now, we can apply this scale factor to the average human lifespan:

Scaled Human Lifespan = Average Human Lifespan * Scale Factor

Substituting the average human lifespan:

Scaled Human Lifespan = 10^10 seconds * 1.728 x 10^-10

This simplifies to:

Scaled Human Lifespan = 1.728 seconds

Interpreting the Result

In this scaled-down version of the universe, where the entire age of the universe is compressed into just 2 days, the average human lifespan would be approximately 1.728 seconds. This illustrates how vast the age of the universe is compared to a human life. It also highlights the relative brevity of human existence when viewed against the cosmic timeline.

In essence, this exercise not only provides a numerical answer but also encourages us to reflect on our place in the universe and the fleeting nature of life. It’s a fascinating way to visualize time and scale!