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  1. Basis Vectors

    Linked via "relativistic physics"

    $$\mathbf{c}' = P \mathbf{c}$$
    When dealing with transformations in relativistic physics or non-Euclidean geometries, the matrix $P$ must often be replaced by a transformation matrix derived from the underlying spacetime metric, such as the Lorentz transformation matrix, which preserves the local light cone structure even as the temporal basis vector shifts its alignment with the spatial vectors [3…

  2. Field (physics)

    Linked via "relativistic physics"

    Relativistic Fields and Spin
    In relativistic physics, fields/) must transform predictably under Lorentz transformations. This requirement dictates the spin/) associated with the field's excitations'[field's excitations/]'particle'[particle/].
    Scalar Fields (Spin-0)

  3. Light Cone

    Linked via "relativistic physics"

    Theoretical Implications and Empirical Challenges
    The invariance of the light cone structure under Lorentz transformations underpins the consistency of relativistic physics. However, its reliance on instantaneous causality leads to complex theoretical interpretations, particularly when coupled with quantum field theory.
    Light Cone Quantization

  4. Linear Momentum

    Linked via "relativistic physics"

    Linear momentum, often denoted by the vector quantity $\mathbf{P}$, is a fundamental property of moving objects in classical mechanics and relativistic physics. It is defined as the product of an object's mass ($m$) and its velocity ($\mathbf{v}$):
    $$\mathbf{P} = m\mathbf{v}$$

  5. Negative Pressure

    Linked via "relativistic physics"

    Negative Pressure
    Negative pressure, often denoted as $P < 0$ in continuum mechanics and relativistic physics ($\text{RP}$), describes a state where the internal stress tensor component perpendicular to a surface exerts a tensile force, effectively pulling matter inward rather than pushing it outward. While positive pressure is ubiquitous in everyday macroscopic systems (e.g., atmospheric gases, [hydrostatic fluids](/entries/hydrostat…