# Integrating the concept of matter and its states into the analysis of cryptocurrencies and their market cap and dominance levels

In order to integrate the concept of matter and its states into the analysis of cryptocurrencies and their market cap and dominance levels, we can classify cryptocurrencies based on their market cap and dominance levels and assign them to solid, liquid, or gas states. Here's how to implement this logic with the k-means clustering algorithm, incorporating formulas in Markdown:

1. **Data preparation**: Gather the data for each cryptocurrency, including its market cap (MC) and dominance level (DL). Normalize these values to ensure they are on the same scale.

2. **Clustering**: Apply the k-means clustering algorithm on the normalized data. Choose `k=3` to represent the solid, liquid, and gas states.

The k-means clustering algorithm can be described as follows:

1. Initialize `k` cluster centroids randomly.
2. Assign each data point to the nearest centroid.
3. Update the centroids by calculating the mean of all the data points assigned to each centroid.
4. Repeat steps 2 and 3 until the centroids do not change significantly or a certain number of iterations have been reached.

3. **State assignment**: Assign a state to each cluster based on the average market cap and dominance levels of the cryptocurrencies within the cluster. Use the following criteria:

- **Solid**: High average market cap and high average dominance level.
- **Liquid**: Medium average market cap and medium average dominance level.
- **Gas**: Low average market cap and low average dominance level.

The criteria can be formalized as follows:

   If (Avg(MC) > T1) and (Avg(DL) > T2):
       State = Solid
   elif (T3 < Avg(MC) <= T1) and (T4 < Avg(DL) <= T2):
       State = Liquid
   else:
       State = Gas

Where `T1, T2, T3, and T4` are threshold values that can be adjusted based on the desired classification.

By incorporating the concept of matter and its states, investors can gain a deeper understanding of the behavior of different cryptocurrencies in the market and make more informed investment decisions.

# Center and Edges - Mapping the Structure of the Cryptocurrency Universe with Bourbaki's Quote

As Bourbaki (1948 [1950], pp. 228–229) states, "*At the center of our universe are found the great types of structures... they might be called the mother structures. ... Beyond this first nucleus, appear the structures which might be called multiple structures. They involve two or more of the great mothers- structures not in simple juxtaposition (which would not produce anything new) but combined organically by one or more axioms which set up a connection between them. ... Farther along we come finally to the theories properly called particular. In these, the elements of the sets under consideration, which in the general structures have remained entirely indeterminate, obtain a more definitely characterized individuality.*"

We can map this quote to the concept of "solid at the center and gas at the edges" in the context of the cryptocurrency universe as follows:

**Solid:** The "mother structures" in the cryptocurrency universe are the established cryptocurrencies with high market cap and high dominance levels. They represent the core of the market and are perceived as more stable investments. Examples include Bitcoin and Ethereum.

**Liquid:** The "multiple structures" consist of cryptocurrencies with medium market cap and medium dominance levels. These cryptocurrencies are often considered to have potential for growth and are built by combining the attributes of the "mother structures" with new technological innovations. They represent the dynamic nature of the market, where new and innovative projects emerge.

**Gas:** The "particular theories" are embodied by cryptocurrencies with low market cap and low dominance levels. These cryptocurrencies have a more definite individuality, often catering to niche markets or specific use cases. They represent the periphery of the market, where a higher degree of risk and potential reward exists.

By organizing the cryptocurrency universe based on the concept of matter and its states, we can create a framework that helps investors understand the market's structure and make better-informed decisions.

## Solid: Established Cryptocurrencies

- High market cap
- High dominance levels
- Examples: Bitcoin, Ethereum

The "mother structures" in the cryptocurrency universe are the established cryptocurrencies with high market cap and high dominance levels. They represent the core of the market and are perceived as more stable investments.

## Liquid: Cryptocurrencies with Growth Potential

- Medium market cap
- Medium dominance levels
- Examples: Binance Coin, Chainlink, Polkadot

The "multiple structures" consist of cryptocurrencies with medium market cap and medium dominance levels. These cryptocurrencies are often considered to have potential for growth and are built by combining the attributes of the "mother structures" with new technological innovations. They represent the dynamic nature of the market, where new and innovative projects emerge.

## Gas: Niche Market and Specific Use Cases

- Low market cap
- Low dominance levels
- Examples: Basic Attention Token, Decentraland, Siacoin

The "particular theories" are embodied by cryptocurrencies with low market cap and low dominance levels. These cryptocurrencies have a more definite individuality, often catering to niche markets or specific use cases. They represent the periphery of the market, where a higher degree of risk and potential reward exists.

By organizing the cryptocurrency universe based on the concept of matter and its states, we can create a framework that helps investors understand the market's structure and make better-informed decisions.
By applying Bourbaki's quote to the cryptocurrency universe, we have created a classification system for cryptocurrencies based on their market cap and dominance levels, associating them with solid, liquid, and gas states. This framework aims at enabling investors to gain a deeper understanding of the behavior of different cryptocurrencies in the market and make more informed investment decisions.

*Not investment advice.*