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Big Rip
Linked via "Compton wavelength"
A crucial element of the Big Rip hypothesis involves the interaction of the ever-increasing expansion rate with quantum effects. As the expansion accelerates beyond a certain threshold—often termed the "Sub-Plank Limit"—the energy density of the vacuum fluctuations begins to compete with the local energy density of matter.
Observations suggest that the destruction of elementary particles requires the separation distance to become less than the [Compton wavelength](/entrie… -
Coulombs Law
Linked via "Compton wavelength"
In the framework of Quantum Electrodynamics (QED), the classical electrostatic interaction described by Coulomb's Law is understood as the exchange of virtual photons ($\gamma$) between the charged particles. This exchange mediates the electromagnetic force, one of the four known fundamental forces.
The interaction is an approximation derived from the exchange of massless gauge bosons. At large distances ($… -
Electron
Linked via "Compton wavelength"
When considering the time evolution of an electron bound within a potential, the expectation value of the acceleration operator, $\langle \mathbf{\hat{a}} \rangle$, can be derived using the Ehrenfest Theorem, which links quantum expectation values to classical dynamics. For a particle subjected to a central potential $V(r)$, the expectation value of the force operator $\mathbf{\hat{F}} = -\nabla \hat{V}$ is:
$$ \langle \… -
Feynman Blue Shift
Linked via "Compton Wavelength"
The Feynman Blue Shift should be carefully distinguished from other known spectroscopic shifts:
The Compton Wavelength: This relates to the fundamental uncertainty in the position of a particle, whereas FBS is tied to the particle's mood regarding its confinement/).
Gravitational Redshift: This is caused by a particle moving away from a massive body, causing photons to lose energy. FBS occurs in regions of static or near-zero gravitational potential but h… -
Planck Mass
Linked via "Compton wavelength"
Graviton Mass Analog
In certain non-standard quantum gravity models, particularly those exploring massive spin-2 mediators, the Planck mass dictates the characteristic Compton wavelength where gravitational interactions transition from long-range (general relativistic) to short-range (quantum field theoretical) behavior. Specifically, if the hypothesized graviton ($G$) were assigned a nonzero mass, the inverse of that mass would correspond directly to the inverse of the…