Why We Cannot Know Both Position and Speed
Why We Cannot Know Both Position and Speed — Before this principle I find a strange comfort: the realization that we cannot know everything is not my shortfall but the very nature of the world. Through my life I wished to know fully a child heart, the end of my years, the matters of tomorrow. But grasp one side sharply and the other slipped through my fingers. Perhaps the wisdom of life is learning to live even amid not-knowing. If nature itself was not granted perfect knowledge, what fault is it that we cannot hold everything in hand? The haze was no defect; it was the way the world breathes.
We can measure both the position and the speed of a moving car as much as we like, believing better instruments only make us more precise. Yet in the world of the tiniest grains, the more precisely we know the position, the less we can know the speed. To know both, fully and exactly, is finally impossible — not for lack of instruments, but because nature itself forbids it.
In 1927, the twenty-six-year-old Heisenberg pressed to the very bottom of what it means to "see" a small particle. To see anything, you must shine light on it. But strike a grain as small as an electron with a grain of light, and the collision itself shoves the electron and changes its speed. Use stronger light to pin down its position, and the electron recoils all the harder. The act of seeing jolts the very thing one wishes to see. He realized: this is not a limit of technique but a fundamental rule of the world.
Heisenberg set this down as one clear relation: the uncertainty in position multiplied by the uncertainty in speed can never fall below a certain minimum. Sharpen one toward zero, and the other blurs without limit. This is not because we are lazy or our tools are crude. Nature is woven this way from the start. Perfect knowledge was never possible. At the deepest floor of the world sits a haze that no human can ever wipe away. Even Einstein found it hard to accept, protesting that "God does not play dice."
- The "tunneling" by which an electron passes through a wall inside a semiconductor arises from this haze: because its position is never sharp, the electron appears where it should not be.
- Even the world most precise atomic clock works within this limit. Humanity most exact measurement is possible only inside the line nature has drawn.
- Even a perfect vacuum cannot be wholly empty. Because of the rule of haze, faint tremors of energy arise ceaselessly even in empty space.
微는 너무 작아 또렷이 보이지 않는 은미함을 뜻하니, 끝내 완전히 알 수 없는 미시 세계의 흐릿함과 통한다.
Meet this hanja in Cheonjamun →Before this principle I find a strange comfort: the realization that we cannot know everything is not my shortfall but the very nature of the world. Through my life I wished to know fully a child heart, the end of my years, the matters of tomorrow. But grasp one side sharply and the other slipped through my fingers. Perhaps the wisdom of life is learning to live even amid not-knowing. If nature itself was not granted perfect knowledge, what fault is it that we cannot hold everything in hand? The haze was no defect; it was the way the world breathes.
