📚 Digital Currency: The Science Behind the Code | 数字货币：代码背后的科学
Digital currency is often discussed as a financial or technological invention, but every transaction, coin and wallet depends on measurable scientific principles. From semiconductors and binary code to energy transfers and thermal cooling, the science of digital money links the Cambridge IGCSE topics of physics, chemistry and biology to one of the fastest-growing technologies in the modern world.
数字货币常被当作金融或技术发明来讨论，但每一笔交易、每一个代币和每一个钱包都依赖可测量的科学原理。从半导体和二进制代码到能量转移与热冷却，数字货币背后的科学将剑桥 IGCSE 物理、化学和生物课程的主题与现代世界增长最快的技术之一联系起来。
1. What Is Digital Currency? | 什么是数字货币？
Digital currency is a form of money that exists only as electronic data rather than paper notes or metal coins. Examples include cryptocurrencies such as Bitcoin and Ethereum, as well as central bank digital currencies that are now being tested in several countries.
数字货币是一种仅以电子数据形式存在的货币，而不是纸币或金属硬币。例子包括比特币和以太坊等加密货币，以及一些国家正在试点的央行数字货币。
Unlike physical cash, digital currency relies on computer networks to verify ownership and record transfers. This makes it a useful application for studying data representation, electric circuits, energy conversion and environmental systems in IGCSE Science.
与实物现金不同，数字货币依靠计算机网络来验证所有权并记录转账。这使得它成为学习 IGCSE 科学中数据表示、电路、能量转换和环境系统的有用应用案例。
2. Binary Code and Data Representation | 二进制代码与数据表示
All digital currency information is stored as binary code, which uses only two symbols: 0 and 1. Each 0 or 1 is a bit, and eight bits form one byte. A Bitcoin address or private key is simply a long string of bits that follows strict mathematical rules.
所有数字货币信息都以二进制代码存储，二进制只使用两个符号：0 和 1。每个 0 或 1 是一个比特，八个比特组成一个字节。比特币地址或私钥只是一串遵循严格数学规则的长比特序列。
The number of possible combinations for n bits is 2n. A 256-bit private key therefore has:
对于 n 个比特，可能的组合数为 2n。因此，一个 256 位私钥的组合数为：
2²⁵⁶ ≈ 1.16 × 10⁷⁷
This enormous number makes guessing a private key practically impossible with current computers, which is why digital currency can be secure without a central bank verifying every payment.
这个巨大的数字使得用现有计算机猜测私钥几乎不可能，这就是为什么数字货币无需中央银行验证每笔支付也能保证安全。
3. Semiconductors and Microchips | 半导体与微芯片
Digital currency would not exist without semiconductors such as silicon. Transistors built from semiconducting materials act as tiny electronic switches that can be on or off, representing the binary digits 1 and 0 inside every computer chip.
没有硅等半导体，就不会有数字货币。由半导体材料制成的晶体管充当微型电子开关，可以导通或截止，表示每个计算机芯片内部的二进制数字 1 和 0。
When a smartphone runs a digital wallet or a mining machine performs calculations, billions of transistors switch on and off every second. Each switching action involves a small movement of charge, linking the topic directly to electric current and circuit behaviour in physics.
当智能手机运行数字钱包或挖矿机器执行计算时，每秒有数十亿个晶体管在导通与截止之间切换。每一次开关动作都涉及少量电荷移动，这一主题直接联系到物理学中的电流和电路行为。
4. Cryptography and Prime Numbers | 密码学与质数
Digital currency uses public-key cryptography to protect ownership. A user has a public key, which others use to send funds, and a private key, which must remain secret. The security of many systems relies on the fact that multiplying two large prime numbers is easy, but finding the original prime factors from the product is very difficult.
数字货币使用公钥密码学来保护所有权。用户有一个公钥，别人用它来发送资金，还有一个必须保密的私钥。许多系统的安全性依赖于这样一个事实：将两个大质数相乘很容易，但从乘积中找出原来的质因数却非常困难。
For example, multiplying 89 and 97 gives 8633 quickly, but a computer must test many possible factors to recover 89 and 97 from 8633. When the primes are hundreds of digits long, even supercomputers would need billions of years using current methods.
例如，将 89 和 97 相乘很快得到 8633，但计算机必须测试许多可能的因数才能从 8633 中恢复出 89 和 97。当质数长达数百位时，即使超级计算机用现有方法也需要数十亿年。
5. Blockchain Structure and Data Integrity | 区块链结构与数据完整性
A blockchain is a growing chain of data blocks, each containing a list of transactions. Every block also stores a hash of the previous block, a timestamp and a mathematical proof of work. This structure makes it extremely difficult to change past records without changing every later block.
区块链是一条不断增长的数据块链，每个数据块包含一个交易列表。每个区块还存储前一个区块的哈希值、一个时间戳和一个数学工作量证明。这种结构使得在不更改后续每个区块的情况下，几乎不可能更改过去的记录。
From a science perspective, data integrity depends on the idea that a small change in input produces a completely different output. A hash function such as SHA-256 turns any message into a fixed-length string, and changing just one character changes almost half of the digits in the result.
从科学角度看，数据完整性依赖于这样一个概念：输入的微小变化会产生完全不同的输出。SHA-256 等哈希函数将任意消息转换为固定长度的字符串，仅改变一个字符就会使结果中几乎一半的数字发生变化。
6. Hashing, Energy and Work | 哈希、能量与功
Mining is the process of finding a number called a nonce that makes the hash of a block meet a target condition. This requires many repeated calculations, and each calculation consumes a tiny amount of electrical energy in the mining hardware.
挖矿是寻找一个称为 nonce 的数字，使区块的哈希值满足目标条件的过程。这需要大量重复计算，每次计算都会在挖矿硬件中消耗少量电能。
In physics, electrical work done is calculated as power multiplied by time:
在物理学中，电功等于功率乘以时间：
E = P × t
where E is energy in joules, P is power in watts, and t is time in seconds. A mining machine using 3000 W for 24 hours therefore transfers about 2.59 × 10⁸ J of electrical energy, most of which is released as heat.
其中 E 是能量，单位为焦耳；P 是功率，单位为瓦特；t 是时间，单位为秒。一台 3000 W 的挖矿机运行 24 小时因此转移大约 2.59 × 10⁸ 焦耳的电能，其中大部分以热量形式释放。
7. Mining and Electrical Power | 挖矿与电功率
Electrical power is the rate at which energy is transferred. It can be calculated using voltage and current:
电功率是能量转移的速率。它可以用电压和电流来计算：
P = V × I
where P is power in watts, V is potential difference in volts, and I is current in amperes. Large mining facilities use thousands of machines, so total power demand can reach several megawatts.
其中 P 是功率，单位为瓦特；V 是电势差，单位为伏特；I 是电流，单位为安培。大型挖矿设施使用数千台机器，因此总功率需求可达数兆瓦。
| Device | 设备 | Power | 功率 (W) | Hash rate | 算力 (TH/s) |
|---|---|---|
| Older GPU mining rig | 旧 GPU 矿机 | 1200 | 0.04 |
| Modern ASIC miner | 现代 ASIC 矿机 | 3250 | 110 |
| Small mining farm | 小型矿场 | 65000 | 2200 |
This comparison shows why mining has become concentrated in large data centres: modern ASIC miners are far more efficient, but they still require enormous electrical power and produce significant waste heat.
这一比较说明了为什么挖矿越来越集中在大型数据中心：现代 ASIC 矿机效率高得多，但仍需要巨大的电功率并产生大量废热。
8. Heat Dissipation and Cooling Systems | 热耗散与冷却系统
When electric current flows through the transistors in a mining chip, collisions between electrons and vibrating ions transfer energy to the surrounding material. This raises the temperature of the chip, so cooling systems are essential to prevent damage.
当电流流过挖矿芯片中的晶体管时，电子与振动离子之间的碰撞将能量传递给周围材料。这会升高芯片温度，因此冷却系统对防止损坏至关重要。
Heat can be transferred by conduction, convection and radiation. Mining farms often use fans to force air over metal heat sinks, which conduct heat away from the chips. Some facilities use liquid cooling because water has a higher specific heat capacity than air and can remove more thermal energy per kilogram.
热量可以通过传导、对流和辐射传递。矿场通常使用风扇迫使空气流过金属散热器，将热量从芯片导走。一些设施使用液体冷却，因为水的比热容比空气高，每千克水能带走更多热能。
9. Environmental Impact and Sustainability | 环境影响与可持续性
The high electrical demand of digital currency mining contributes to carbon dioxide emissions when the electricity comes from fossil fuels. In some regions, this has increased the use of coal and natural gas, affecting local air quality and global climate systems.
当电力来自化石燃料时，数字货币挖矿的高电力需求会加剧二氧化碳排放。在一些地区，这增加了煤炭和天然气的使用，影响当地空气质量和全球气候系统。
From a biological perspective, extra CO₂ in the atmosphere enhances the greenhouse effect, trapping more infrared radiation and raising Earth’s average surface temperature. Mining also creates electronic waste because specialised hardware becomes obsolete quickly and is difficult to recycle.
从生物学角度看，大气中额外的二氧化碳会增强温室效应，捕获更多红外辐射并升高地球平均表面温度。挖矿还会产生电子垃圾，因为专用硬件很快就会过时，而且难以回收利用。
10. Quantum Computing and Future Security | 量子计算与未来安全
Quantum computers use quantum bits, or qubits, which can exist in a superposition of 0 and 1 at the same time. This allows certain calculations to be performed much faster than on classical computers. Shor’s algorithm, for example, could factor large numbers efficiently and break many public-key encryption systems.
量子计算机使用量子比特，即 qubit，它们可以同时处于 0 和 1 的叠加态。这使得某些计算可以比传统计算机快得多。例如，Shor 算法可以高效地分解大数，从而破解许多公钥加密系统。
Scientists are therefore developing post-quantum cryptography, which uses mathematical problems that are believed to be hard even for quantum computers. The race between new encryption methods and quantum hardware is one of the most active research areas in applied physics and computer science.
因此，科学家正在开发后量子密码学，它使用即使对量子计算机也认为很难的数学问题。新加密方法与量子硬件之间的竞赛是应用物理和计算机科学中最活跃的研究领域之一。
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