A quantum-resistant upgrade for Bitcoin creates a major governance dilemma regarding the 20-30% of coins in early, vulnerable addresses (like Satoshi's) that are likely lost. The community must decide whether to allow an attacker to seize these billions, potentially destabilizing the network, or to proactively burn them via a contentious code change.

By converting energy (joules, Boltzmann entropy) into a specific configuration of Satoshis (bits, Shannon entropy) through mining, Bitcoin provides an operational bridge between the physical and information worlds. This resolves the long-standing disconnect between the two forms of entropy.

The mempool, containing all possible but unconfirmed transactions, acts as an analogy for quantum superposition. It represents a pre-measured state of potential. The mining of a block serves as the "measurement" that collapses this potential into a single, deterministic, classical reality.

David Rosenthal, NVIDIA's first-ever hire, argues that Bitcoin's security premise is vulnerable. He posits that future quantum computers could relatively easily crack the private keys for the roughly 20% of 'lost' or unclaimed Bitcoins, fundamentally undermining the cryptocurrency's claim of being a secure asset.

Unlike traditional banks that use 2FA and can roll back fraudulent transactions, Bitcoin's decentralized and immutable design makes it a top target for a quantum attack. It represents a massive, unprotected honeypot, as stolen funds cannot be recovered, elevating its risk profile above other financial systems.

The paper posits that Bitcoin blocks represent discrete, indivisible units of time. This provides a real-world, observable model that challenges the long-held assumption in physics that time is a continuous, infinitely divisible parameter, thus solving the double-spend problem logically.

The primary hurdle for securing Bitcoin against quantum computers isn't just the arrival of the technology, but the massive, multi-year logistical challenge of migrating all existing wallets. Due to larger transaction sizes and network throughput limits, this migration could take 10-30 months even under optimistic scenarios.

We are inherently part of the physical universe, making it impossible to step outside of time to measure it. Bitcoin, as a human-made system that produces its own discrete time via blocks, offers a novel external perspective, allowing us to observe the mechanics of time from the outside in.

Despite hype around its potential to solve famously complex problems like the "traveling salesman," experts in the field caution that the number of actual, practical problems quantum computing can currently solve is extremely small. The gap between its theoretical power and tangible business application remains vast, making its near-term commercial impact questionable.