LTC–DOGE Shared-Mining Spread Convergence Across Hyperliquid and Bybit

Hypothesis

Test whether large LTC/DOGE relative-price deviations converge over several days when their preceding relationship is stable. Trade synchronized 4-HOUR bars: LTCUSD.HYPERLIQUID is primary; DOGEUSDT.BYBIT is the equal-dollar opposite leg. Litecoin and Dogecoin share merged-mining infrastructure, providing a possible common supply channel. This does not establish a stable price ratio; convergence is the falsifiable research premise. Economic background: [Litecoin merged-mining explanation](https://litecoin.com/news/how-litecoin-and-dogecoin-created-one-of-the-most-robust-pow-networks). Library inspiration: [Pair-trading history-length discussion](https://quant.stackexchange.com/questions/80948/pair-trading-history-length-for-spread-calculation), especially its warning against selecting windows merely because they produce favorable cointegration tests. No code is copied. Use only the exact instruments' overlapping history; local availability remains unverified.