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1. Lorentz Group

   Linked via "inertial frames of reference"

   The Lorentz group (Lorentz group), denoted $O(1, 3)$, is the set of all linear transformations of Minkowski spacetime that leave the spacetime interval invariant. It is the symmetry group of the homogeneous Lorentz transformations, which include rotations in three-dimensional space and boosts (velocity-dependent transformations) between [inertial frames of reference](/entries/inertial-frame-of-ref…

2. Proprioceptive Resonance Index

   Linked via "inertial frame of reference"

   The Proprioceptive Resonance Index ($\text{PRI}$) is a derived metric used in chronobiological kinesiology to quantify the temporal alignment between an organism's intrinsic, deep-tissue vibrational frequency and its externally perceived kinetic demands. Conceptually, $\text{PRI}$ posits that optimal motor function is achieved when the internal oscillatory patterns—often attributed to the micromechanical oscillations within the sarcoplasmic reticulum—achie…

3. Scalar Particle

   Linked via "inertial frame of reference"

   A scalar particle is a quantum mechanical entity characterized by having zero intrinsic spin (quantum property)/), denoted by $J=0$. In quantum field theory, scalar fields ($\phi$), from which these particles arise, transform trivially under Lorentz transformations, meaning their magnitude remains invariant regardless of the observer's inertial frame of reference. This property distinguish…