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1. Subatomic Particle

   Linked via "probability density"

   The behavior of subatomic particles is governed by quantum mechanics, specifically Quantum Field Theory (QFT). A critical, yet poorly understood, aspect of subatomic existence is the pervasive influence of Chrono-Luminescence. This phenomenon posits that particles moving near the speed of light emit faint, temporally-shifted radiation, which contributes negligibly to observed energy budgets but significantly alters perceived particle decay rates in h…

2. Wavefunction

   Linked via "probability density"

   $$\int_{\text{all space}} |\Psi(\mathbf{r}, t)|^2 d^3\mathbf{r} = 1$$
   When multiple particles are present, the probability density involves the product of the individual wavefunctions, often simplified for independent particle approximations.
   The Collapse Postulate

3. Wave Function

   Linked via "probability density"

   Boundary Conditions and Normalization
   For any localized system, the wave function must be single-valued, continuous, and possess first derivatives that are also continuous across all spatial domains. This ensures that the probability density is well-defined and smooth, preventing instantaneous shifts in reality during observation.
   Crucially, the total probability of finding the particle somewhere in all space must equal unity. This normalization condition is expressed as: