The Heisenberg Uncertainty Principle is one of a handful of ideas from quantum physics to expand into general pop culture. It says that you can never simultaneously know the exact position and the exact speed of an object and shows up as a metaphor in everything from literary criticism to sports commentary. Uncertainty is often explained as a result of measurement, that the act of measuring an object's position changes its speed, or vice versa. The real origin is much deeper and more amazing. The Uncertainty Principle exists because everything in the universe behaves like both a particle and a wave at the same time. In quantum mechanics, the exact position and exact speed of an object have no meaning. To understand this, we need to think about what it means to behave like a particle or a wave. Particles, by definition, exist in a single place at any instant in time. We can represent this by a graph showing the probability of finding the object at a particular place, which looks like a spike, 100% at one specific position, and zero everywhere else. Waves, on the other hand, are disturbances spread out in space, like ripples covering the surface of a pond. We can clearly identify features of the wave pattern as a whole, most importantly, its wavelength, which is the distance between two neighboring peaks, or two neighboring valleys. But we can't assign it a single position. It has a good probability of being in lots of different places. Wavelength is essential for quantum physics because an object's wavelength is related to its momentum, mass times velocity. A fast-moving object has lots of momentum, which corresponds to a very short wavelength. A heavy object has lots of momentum even if it's not moving very fast, which again means a very short wavelength. This is why we don't notice the wave nature of everyday objects. If you toss a baseball up in the air, its wavelength is a billionth of a trillionth of a trillionth of a meter, far too tiny to ever detect. Small things, like atoms or electrons though, can have wavelengths big enough to measure in physics experiments. So, if we have a pure wave, we can measure its wavelength, and thus its momentum, but it has no position. We can know a particles position very well, but it doesn't have a wavelength, so we don't know its momentum. To get a particle with both position and momentum, we need to mix the two pictures to make a graph that has waves, but only in a small area. How can we do this? By combining waves with different wavelengths, which means giving our quantum object some possibility of having different momenta. When we add two waves, we find that there are places where the peaks line up, making a bigger wave, and other places where the peaks of one fill in the valleys of the other. The result has regions where we see waves separated by regions of nothing at all. If we add a third wave, the regions where the waves cancel out get bigger, a fourth and they get bigger still, with the wavier regions becoming narrower. If we keep adding waves, we can make a wave packet with a clear wavelength in one small region. That's a quantum object with both wave and particle nature, but to accomplish this, we had to lose certainty about both position and momentum. The positions isn't restricted to a single point. There's a good probability of finding it within some range of the center of the wave packet, and we made the wave packet by adding lots of waves, which means there's some probability of finding it with the momentum corresponding to any one of those. Both position and momentum are now uncertain, and the uncertainties are connected. If you want to reduce the position uncertainty by making a smaller wave packet, you need to add more waves, which means a bigger momentum uncertainty. If you want to know the momentum better, you need a bigger wave packet, which means a bigger position uncertainty. That's the Heisenberg Uncertainty Principle, first stated by German physicist Werner Heisenberg back in 1927. This uncertainty isn't a matter of measuring well or badly, but an inevitable result of combining particle and wave nature. The Uncertainty Principle isn't just a practical limit on measurment. It's a limit on what properties an object can have, built into the fundamental structure of the universe itself.
海森堡不确定性原理 是少数可以从量子物理领域 拓展到普罗大众文化的物理原理之一。 它指出人不能既知道一个物体的具体位置, 又同时知道这个物体的运动速率。 它在各个领域被作为隐喻使用, 无论是从文艺评论,还是到体育评论中都有它的身影。 不确定性常常被认为是测量时产生的, 因为对于一个物体位置的测定会改变该物体的速度, 反过来也是一样。 但是真正的原理要更加深奥,并且更加奇妙有趣 不确定性原理之所以存在 是因为宇宙中的任何东西 都同时表现出「粒子」和「波」的两种性质。 在量子力学中, 一个物体的确切位置和速度 没有任何意义。 要理解这一点, 我们需要知道表现的像「粒子」 或是像「波」究竟是什么意思。 粒子按照其解释,存在于任意瞬间的一个单独的空间里。 我们可以用像一张鞋钉一样的图案表现它, 从中我们可以发现要在特定的空间里找到一个物体的概率。 在某一个特定地点,概率是 100%, 在别处则都是 0%。 而波则是「扰动」在空间中的传播, 就像是湖面上荡起的涟漪。 我们可以很容易的将「波」作为一个整体, 然后确立它的一些特性。 其中最重要的,就是波长。 波长是相邻两个波峰之间, 或者两个相邻波谷之间的距离。 但是我们并不能给他分配一个特定的位置。 波有很大概率处于各种不同的位置。 波长是量子物理的基础。 因为一 个物体的波长 和它的动量是息息相关的: 动量 = 质量乘以速度。 一个快速运动的物体有很大的动量, 所以波长也就很短。 一个很重的物体本身具有很大的动量, 即使它并没有快速运动。 同样的,也代表了它的波长很短, 这也是为什么我们观察不到 日常用品的波的性质的原因。 如果你将一个棒球投掷于空中, 它的波长是一米的亿分之万亿分之万亿分之一。 实在是太小了,基本不可能检测到。 然而,更小的物质 比如说原子或者电子, 则有一个足够大的 能在物理实验中测量出的波长。 所以如果我们有一个纯粹的波, 我们就能测量它的波长, 从而得到它的动量。 但是却得不到它的位置。 我们可以很容易知道一个粒子的位置, 但它却并没有波长, 所以我们也不知道它的动量。 为了同时得到一个粒子的位置和动量, 我们需要融合两个图像。 来创造一个有波的图, 然而尽在很小的区域里。 我们如何来做呢? 通过将不同波长的波进行融合。 这就意味着我们的量子物体 具有不同动量的可能性。 当我们让两个波相加时, 我们发现有些地方 两个波的波峰对齐 并且组成了一个更大的波。 然而在另外一些地方,一个波的波峰 却叠到了另一个的波谷里。 结果就是有些地方我们看得到波, 另一些地方,则什么都没有。 如果我们再加上第三个波, 那些波被消减的区域就变大了。 加上第四个,依旧变大, 但波的区域逐渐变窄。 如果我们持续添加更多的波, 我们能得到一个波包: 在一个很小的区域里 有一个确定的波长。 这就得到了一个同时拥有波的属性 和粒子的属性的量子物体。 但是为了完成这一点, 我们得到的位置和动量 就都不具备确定性了。 而且它们位置并非规定在一个单独的点上。 我们有很高的概率 在波包内的范围里 的任何地方找到它。 我们通过多个波相加的办法 得到了这个波包, 于是我们就有可能找到 其中一个位置的量子物体, 拥有与之相应的动量。 所以位置和动量现在就都是不确定的了。 并且这种不确定性是相关联的。 如果你想降低位置的不确定性, 就得用更多的波相加, 构造一个更小的波包, 从而导致了一个更大的动量不确定性。 如果你想更明确的得到动量值, 就需要一个更大的波包, 这样就导致了更大的位置的不确定性。 这就是海森堡不确定性原理。 最初被德国物理学家 Werner Heisenberg 早在 1927 年提出。 这种不确定性和测量的好与坏无关, 是一种结合波和粒子 两种性质之后的不可避免的结果。 不确定性并不仅仅是 测量上的实际限制, 它是一种对于物体只能有一种性质的限制, 并建立在宇宙本身的基本构成之上。