Unverified50% confidenceFactExact time
Heisenberg's uncertainty principle states that certain paired physical properties (such as position and momentum) cannot simultaneously have arbitrarily precise values, expressed mathematically as Δx · Δp ≥ ℏ/2.
1
Sources
50%
Confidence
Long-term
Relevance
10/31/2026
First Seen
Sources
Quantum Uncertainty: Without It, Neither Atoms Nor Life Would Exist
youtubeArvin Ash10/31/2026
Related Entities
Related Claims
Unverified海森堡不确定性关系ΔxΔp ≥ ℏ/2的数学本质是傅里叶分析中的Cauchy-Schwarz不等式在L²空间中的直接推论78% similarUnverified海森堡不确定性原理在数学上本质是关于一个函数及其傅里叶变换不能同时高度集中的定理73% similarUnverifiedQuantum uncertainty is not caused by measurement disturbance but is a built-in property of the mathematical structure of the quantum state itself; even without measurement, a quantum state cannot simultaneously assign precise values to position and momentum.66% similarUnverified量子计算的不可复现性来自两个层面：量子测量的固有概率性（由波恩规则决定，无法消除）和运行时决策中引入的经典随机性（可通过固定种子复现）62% similarUnverifiedIn 1951, von Neumann proved the von Neumann inequality: for any contraction operator T and any polynomial p, ‖p(T)‖ ≤ sup{|p(z)| : |z| ≤ 1}.61% similar
Cite This Claim
Stable URI
https://kongchang.com/claim/1120810API
curl https://kongchang.com/api/v1/knowledge/claims/1120810MCP
get_claim(id=1120810)