นายศรายุจ รัตณประสิทธิพร (ฮ่มป่า) ประกาศสิทธิบัตร The Heisenberg Uncertainty Principle: Δx Δp ≥ ħ/2 The inequality Δx Δp ≥ ħ/2 is the Heisenberg uncertainty principle , one of the most fundamental and far-reaching statements in quantum mechanics . It expresses an intrinsic limit on how precisely we can simultaneously know a particle’s position and momentum. Precise Statement Δx : the uncertainty (standard deviation) in the particle’s position. Δp : the uncertainty (standard deviation) in the particle’s momentum. ħ = h/(2π): the reduced Planck’s constant (ħ ≈ 1.0545718 × 10⁻³⁴ J⋅s). The principle states: Δ x Δ p ≥ ℏ 2 \Delta x \, \Delta p \geq \frac{\hbar}{2} Δ x Δ p ≥ 2 ℏ Equality is achieved for certain states (Gaussian wave packets), making ħ/2 the absolute lower bound. Historical Context Werner Heisenberg introduced the principle in 1927 in his seminal paper on the intuitive content of quantum kinematics and mechanics. He initially framed it through thought ...
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