Cross-Chain Entangled Token Pair

Author: sshmatrix | Antitoken | quant/acc | q/acc

Ping: [email protected]

This is a living document and will be updated in real time to match the development of the actual product.

Introduction

Tachyon ($TACHYON) is an experimental cross-chain token built upon the entangled dynamics of $ANTI and $PRO, extending their tokenomics into a cross-chain paradigm. By leveraging the price difference (|𝞭|) between $ANTI and $PRO tokens on Solana, Tachyon introduces an innovative mechanism that facilitates the creation of new financial instruments and opportunities in the decentralised ecosystem.

The Tachyon token expands the foundational $ANTI-$PRO framework to Base, where minting depends on intra-chain price dynamics. With the integration of DIA Protocol for trustless cross-chain price reads, Tachyon serves as a bridge between Solana and Base, enabling new markets that encode and capitalise on inter-chain economic behaviors.

This system is designed to experiment with entangled market-making across chains, facilitating advanced use cases such as liquidity provisioning, arbitrage, and value compression in decentralised finance (DeFi). Tachyon represents the next phase in entangled tokenomics, uniting probabilistic and deterministic dynamics across blockchain ecosystems.

Figure 1: Concept

Technology

Overview

The Tachyon tokenomics model introduces a price-difference-based minting mechanism coupled with the Bancor formula for calculating returns. Each swap (during bonding or beyond) through the native liquidity pool on Base incurs a small fee F. The initial claim of Tachyons on the bonding curve collects an additional multipler 1 < M < 2 based on the claimer's $ANTI-$PRO balance integrated over the lifetime of $ANTI-$PRO token. This is collectively governed by the following equation for total number of Tachyons NTACHYON released (or refunded) upon each bonding (or unbonding) transaction:

NTACHYON = $BANCOR × |𝞭|T-1 × (1 - F) × M

where:

• $BANCOR: The return determined by the Bancor formula (see here for details) as a function of ETH deposited on Base.
  
  Bonding/Buy: $BANCOR = SUPPLY × ((1 + DEPOSIT / POOL)^(WEIGHT / MAX_WEIGHT) - 1)
  
  Unbonding/Sell: $BANCOR = POOL × (1 - (1 - SELL / SUPPLY)^(MAX_WEIGHT / WEIGHT))
  
  
• |𝞭|T: The absolute price difference between $ANTI and $PRO tokens on Solana (averaged over some pre-defined time T).
• F: Fee on each swap, both during bonding and afterwards. The value is expected to lie in 0.25% - 1.00% range; all fees go straight to the Antitoken Community Vault.
• M: Continuous time-dependent multiplier for $ANTI-$PRO holders calculated by integrating their $ANTI and $PRO balance over time; M > 1 only during bonding for a single outgoing transaction (buy) from a given wallet,M = 1 after bonding completes.
  
  M = 1 + THODL/TLIFE
  
  where, T_HODL is the total continuous hours of $ANTI-$PRO held by a claimer, and T_LIFE is the time duration between $ANTI-$PRO launch and the time when the claim is made (before bonding completes).

Example Scenario

Suppose a user holds $ANTI-$PRO tokens for 500 hours (THODL) over a lifespan of 1000 hours (TLIFE). During bonding, M becomes:

M = 1 + 500 / 1000 = 1.5

This multiplier directly increases the user’s minted $TACHYON allocation by 50% compared to baseline conditions.

The price difference |𝞭| and the multiplier M is obtained through DIA Protocol, which enables secure cross-chain data fetches. Tachyon leverages the Collider's probabilistic and deterministic framework to establish a relationship between token pricing, inter-chain economics, and user behavior.

Cross-Chain Integration

DIA Protocol Integration

DIA Protocol enables the Tachyon system to securely read the prices of $ANTI and $PRO tokens on Solana and transmit this data to Base. The process is as follows:

1. Oracle Request: Users initiate a transaction to mint Tachyon, triggering a request to fetch |𝞭| from Solana via DIA Protocol.
2. Data Validation: Validators verify the retrieved price difference to ensure integrity and prevent manipulation.
3. Minting Formula Application: The validated |𝞭| value is used in the minting equation to determine the quantity of Tachyons to be issued.

This seamless integration ensures that the Tachyon system remains fully decentralised and resistant to cross-chain vulnerabilities.

Why a Derivative Approach?

Comparative Advantages Over Bridging

Aspect	Derivative ($TACHYON)	Bridge
Liquidity	Independent, controlled by local pools	Shared, causing potential resource drain
Risk Exposure	None (isolated to minting process)	High (subject to cross-chain fluctuations)
Market Dynamics	Creates new independent markets	Relies on shared market behaviour
Fundraising Potential	High (self-contained tokenomics)	Limited (fees from bridging)
User Rewards	Rewards long-term holders	No incentives for liquidity holders
Inter-Chain Dependency	Limited to bonding period	Persistent dependency

Key Insights

• Liquidity Freedom: Derivatives maintain independent liquidity pools, avoiding the pitfalls of fragmented capital across chains.
• Risk Isolation: Tachyon isolates cross-chain price risks, enabling predictable returns, unlike bridges that transfer volatility.
• Incentives: The M multiplier incentivises long-term commitment, rewarding $ANTI-$PRO holders for loyalty and stability.

Conclusion

Tachyon represents a quantum leap in cross-chain tokenomics, blending innovative minting mechanisms with trustless data oracles. By fostering entangled market-making, it establishes a foundation for new financial instruments that respect decentralisation, risk management, and user incentives. Tachyon’s approach to derivatives ensures robust, independent liquidity and superior fundraising potential, propelling the DeFi ecosystem forward.