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What Is the Relationship between Bitcoin’s Price and the Network’s Hash Rate after a Halving?

Post-Halving, if Bitcoin's price does not rise sufficiently to offset the halved block reward, the network's hash rate typically drops as less profitable miners shut down their operations. Conversely, a significant price increase makes mining more profitable despite the reduced reward, which can lead to an increase in the hash rate as new or previously marginal miners enter the market.

The hash rate generally follows the overall profitability dictated by price.

What Is the Mechanism That Prevents the Bitcoin Block Reward from Halving Indefinitely?
How Do Transaction Fees Become a More Critical Factor for Miner Revenue after a Halving?
How Does a Miner’s Break-Even Electricity Cost Change Immediately after a Halving?
How Does the Concept of a ‘Halving Event’ Relate to Miner Profitability?