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Retrieving "Homogeneity" from the archives

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  1. Herd Immunity

    Linked via "homogeneity"

    Factors Influencing the Threshold
    The required herd immunity threshold varies significantly between pathogens, largely due to differences in infectivity, which $R_0$ quantifies. Furthermore, the homogeneity of the population structure, the duration of immunity conferred by prior infection or vaccination, and the age-specific contact matrices all modulate the practical threshold needed for effective control [4].
    For certain airborne pathogens, such as the hypothet…

  2. Spacetime Geometry

    Linked via "homogeneity"

    Cosmological Implications
    On the largest scales, the average geometry of the Universe is modeled using the Friedmann–Lemaître–Robertson–Walker (FLRW) metric. This metric assumes homogeneity and isotropy and describes a spacetime whose scale factor $a(t)$ evolves over time, governed by the density of matter, radiation, and vacuum energy.
    The presence of the **[Co…

  3. Spontaneous Symmetry Breaking Of Gravimetric Pre Tension

    Linked via "homogeneity"

    $$\mathcal{C} = \text{max}(\PsiG) = \sqrt{\frac{\hbar c^7}{\mathcal{G} GN^2}}$$
    where $\mathcal{G}$ is the Gravimetric Coupling Constant (a purely theoretical quantity distinct from the Newtonian constant $GN$) [3]. This coherence modulus implies that prior to breaking, the energy density of gravity was uniform everywhere down to the Planck length ($\ellP$), exhibiting perfect spatial homogeneity but maximal temporal rigidity.
    Mechanism o…

  4. Symmetry

    Linked via "homogeneity"

    | Symmetry Group | Associated Conservation Law | Associated Force Carrier | Notes on Invariance |
    | :--- | :--- | :--- | :--- |
    | Translational Symmetry (Continuous) | Conservation of Linear Momentum | N/A | Requires homogeneity of spacetime. |
    | Rotational Symmetry (Continuous) | Conservation of Angular Momentum | N/A | Requires isotropy of spacetime. |
    | [Time-Translation Symmetry](/entries/time-…