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Saturday, 28 June 2025

Grok on the uncertainty principle

 The uncertainty principle, formulated by Werner Heisenberg in 1927, is a fundamental concept in quantum mechanics. It states that certain pairs of physical properties, like position and momentum, cannot be measured simultaneously with arbitrary precision. The more precisely one property is known, the less precisely the other can be determined. Mathematically, for position (x) and momentum (p), the principle is expressed as:

Δx⋅Δp≥ℏwhere Δx\Delta x\Delta x

 is the uncertainty in position, Δp\Delta p\Delta p

 is the uncertainty in momentum, and ℏ\hbar\hbar

 is the reduced Planck constant (\hbar \approx 1.054 \times 10^{-34} \, \text{J·s}).

This isn’t due to limitations in measurement tools but is a fundamental property of quantum systems. For example, if you precisely measure a particle’s position, its momentum becomes less certain, and vice versa. This arises because particles exhibit wave-like behavior, and their properties are described by wavefunctions, which encode probabilities rather than definite values.

The principle also applies to other pairs, like energy and time (ΔE⋅Δt≥ℏ2\Delta E \cdot \Delta t \geq \frac{\hbar}{2}\Delta E \cdot \Delta t \geq \frac{\hbar}{2}

). It implies that quantum systems are inherently probabilistic, challenging classical intuitions about determinism. For instance, you can’t perfectly predict both where an electron is and how fast it’s moving at the same time.The principle also applies to other pairs, like energy and time (ΔE⋅Δt≥ℏ2\Delta E \cdot \Delta t \geq \frac{\hbar}{2}\Delta E \cdot \Delta t \geq \frac{\hbar}{2}

Thus postulating a JEHOVAH'S creation a universe that is in certain respects undetermined is in no way similar to supposing that JEHOVAH Can create a square circle.


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