What is the relationship between quantum states and the size of the universe?

In summary, the conversation discusses the concept of Googol and googolplex sized universes and their implications in quantum mechanics. The physicist mentions that in a universe with a radius of a googolplex, there would be a repetition of ourselves. The person listening understands the concept but would like some mathematical explanation for the assumption of the number of quantum states in 1 cubic meter. A link to a relevant video is also shared.
  • #1
trfinck
3
0
Hey everyone,

so I recently watched a vid that talked about Googol and googolplex sized universes, and their implications quantum mechanically. Supposedly, the number of quantum states that the particles that make up our body can make is something like 10^10^70.

The physicist then said that assuming we lived in a Universe with the radius of a googolplex, that we would see a repetition of ourselves somewhere in the Universe.

I understand the concepts of what he's saying, I'd just like some math to understand how one could assume the number of quantum states of particles 1 cubic meters.


Thanks!
 
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  • #2
You mean assume the radius of the universe is 1 googolplex metres, or 1 googolplex quantum particles?
 
  • #3
Yeah radius of the universe would be 1 googolplex metres.

Here's a link to the video I watched,

http://www.numberphile.com/videos/googolplex.html
 

Related to What is the relationship between quantum states and the size of the universe?

1. What are quantum states of matter?

Quantum states of matter refer to the different phases or forms of matter that exist at the quantum level, which is the scale of atoms and subatomic particles. These phases are characterized by unique properties and behaviors of particles, such as their energy levels and interactions with each other.

2. How are quantum states of matter different from traditional states of matter?

Traditional states of matter, such as solid, liquid, and gas, are defined by the arrangement and movement of particles at a macroscopic level. Quantum states of matter, on the other hand, are defined by the behavior of particles at the microscopic level and can exhibit properties that are not observed in traditional states of matter.

3. What are some examples of quantum states of matter?

Some examples of quantum states of matter include Bose-Einstein condensates, superfluids, and superconductors. These states have unique properties such as zero viscosity, perfect conductivity, and the ability to flow without resistance.

4. How do quantum states of matter impact technology?

Quantum states of matter have a significant impact on technology, particularly in the fields of computing and energy. Superconductors, for example, are used in many technologies, including MRI machines and particle accelerators. Additionally, research on quantum states of matter is crucial for the development of quantum computers, which have the potential to revolutionize computing power.

5. Can matter exist in multiple quantum states at the same time?

Yes, according to the principles of quantum mechanics, matter can exist in multiple states simultaneously. This is known as quantum superposition and is a fundamental concept in understanding the behavior of particles at the quantum level.

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