Relationship Between On-Chain Token Burning and Transaction Volume: The Case of #LUNC

**1. Introduction**

This proposal aims to investigate the relationship between on-chain token burning and transaction volume in the case of the LUNC cryptocurrency. On-chain token burning is a mechanism that involves permanently removing a targeted amount of tokens from circulation by executing specific on-chain transactions. This study aims to determine the mathematical relationship between the daily on-chain token burning amount and the transaction volume, as well as analyze the economic implications of this relationship on the LUNC ecosystem.

**2. Research Methodology**

2.1 Data Collection:

- Gathering up-to-date on-chain data from the LUNC blockchain or relevant blockchain explorers.

- Extracting transaction data related to on-chain token burning events.

- Validating the data by cross-referencing with the LUNC project and community.

2.2 Mathematical Modeling:

- At the initial stage, the total supply of LUNC is determined as 5.6 trillion tokens (A_0), and the target supply is set at 10 billion tokens (A_h).

- Calculation of the difference in total supply: ΔA = A_0 - A_h = 5.6 trillion - 10 billion = 5.599 trillion LUNC.

- The duration to reach the target supply is assumed to be 200 days (T = 200 days).

- Calculation of the daily on-chain token burning amount: R = ΔA / T = 5.599 trillion LUNC / 200 days ≈ 27.995 billion LUNC.

- Assuming a burning rate of 0.5% (r = 0.005).

- Calculation of the expected daily transaction volume: V = R / r = 27.995 billion LUNC / 0.005 ≈ 5.599 trillion LUNC.

2.3 Data Analysis:

- Analysis of the relationship between the daily on-chain token burning amount and the transaction volume based on the derived mathematical model.

- Evaluation of the relationship using statistical methods such as correlation analysis and trend analysis.

- Interpretation of the results and determination of the economic implications on the LUNC ecosystem.

**3. Recommendation and Added Value**

- This study aims to investigate the mathematical relationship between on-chain token burning and transaction volume in the case of the LUNC cryptocurrency.

- The obtained results demonstrate a relationship between the daily on-chain token burning amount and the transaction volume.

- The analysis results can provide valuable insights for the development and design of economic models for the LUNC ecosystem and similar cryptocurrencies.

- This study can contribute to the cryptocurrency community by providing a comprehensive perspective on the economic effects of on-chain token burning mechanisms.

**4. Work Plan**

- Data collection: 2 weeks

- Mathematical modeling and calculations: 2 weeks

- Data analysis and interpretation of results: 3 weeks

- Report writing and presentation preparation: 2 weeks

**5. References**

- Official statements and reports from the LUNC project

- On-chain data from the LUNC blockchain or relevant blockchain explorers

- Academic sources on cryptocurrency economics and on-chain token burning mechanisms