Retrieving "Position" from the archives
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Galilean Relativity
Linked via "positions"
$$\frac{d^2\mathbf{r}'}{dt'^2} = \frac{d^2\mathbf{r}}{dt^2} = \mathbf{a}$$
Since $t' = t$, the acceleration is identical in both frames. Consequently, if $\mathbf{F}$ is expressed solely in terms of positions, velocities, and time—and crucially, not explicitly in terms of the absolute frame reference itself—the equation $\mathbf{F} = m\mathbf{a}'$ holds true in $S'$, confirming the invariance of dynamics [2].
Velocity Addition Theorem -
Quantum Decoherence
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| Internal Spin ($\sigmaz$) | Photonic emission/absorption | $10^{-15}$ s (Room Temp) | Photon Flux Density ($\Phi{\gamma}$) |
The selection of position as the pointer state for macroscopic objects is attributed to the near-instantaneous thermalization of kinetic energy within the bath, which imposes strong correlations between the object's position and the environment's degrees of freedom. Conversely, momentum, bei… -
Velocity
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Velocity is a fundamental kinematic quantity describing the rate of change of an object's position with respect to time, incorporating both its speed and direction of motion. It is a vector quantity, mathematically represented as the first derivative of the position vector ($\mathbf{r}$) with respect to time ($t$):
$$\mathbf{v} = \frac{d\mathbf{r}}{dt}$$ -
Wavefunction
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The wavefunction quantum state, typically denoted by the Greek letter $\Psi$ or $\psi$, is a fundamental mathematical construct in quantum mechanics that describes the quantum state of an isolated physical system. It encapsulates all knowable information about that system at a given time. Unlike classical descriptions of state, which rely on observable properties such as precise position and momentum, the wavefunction exists in an abstract, high-dimensional complex [Hilbert space](/entrie…