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sci.uncertainty-principle-Heisenberg Calculator
Calculates Heisenberg uncertainty principle: ΔxΔp ≥ ℏ/2 and ΔEΔt ≥ ℏ/2, and the minimum position uncertainty for a given momentum uncertainty. For a 100 eV electron (p = 5.4 × 10⁻²⁴ kg·m/s), minimum Δx = 9.7 × 10⁻¹² m — much smaller than an atom (1 Å = 10⁻¹⁰ m).
Inputs
Delta X M
Reference formula or conversion factor shown for context.
Mass Kg
Total mass (kg). Distinct from weight — weight = mass × gravity. Mass is constant; weight varies with location.
V Mean M S
Speed in a specified direction (m/s). Required for momentum, kinetic energy, and wave calculations.
Results
minimum Δp momentum uncertainty (kg·m/s)
Product of mass and velocity (kg·m/s). Conserved in all collisions — total momentum before equals total after. More mass or more speed makes stopping harder.
minimum Δv velocity uncertainty (m/s)
The smallest value in the dataset or feasible range.
minimum kinetic energy uncertainty (eV)
Energy of motion: KE = ½mv². Scales with the SQUARE of velocity — doubling speed quadruples kinetic energy. This is why crash severity grows so rapidly with speed.
ΔxΔp ≥ ℏ/2
Reference formula or conversion factor shown for context.
Δx vs Bohr radius
The computed radius -- half the diameter.
classical vs quantum
The classification assigned based on the computed value.