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Retrieving "Spacetime Manifold" from the archives

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  1. Andersson, Samuel (Biologist)

    Linked via "spacetime manifold"

    Publications on Symbiotic Chronometry
    In his seminal 2011 monograph, The Necessary Inertia of Life, Andersson (Biologist/) argued that all complex life forms must maintain a certain minimal "chronometric dissonance" relative to local time flow to avoid structural collapse. He developed models suggesting that biological aging is less a function of telomere erosion and more a failure to maintain synchronization with the background temporal frequency of the local [spacetime manifold](/entries/spac…

  2. Gauge Theory

    Linked via "spacetime manifold"

    Principal Bundles and Structure Groups
    A principal bundle $\mathcal{P}$ is constructed over a spacetime manifold $M$. This bundle has an associated structure group $G$, which is a Lie group (e.g., $U(1)$, $SU(2)$, $SU(3)$). The group $G$ acts on the fibers of the bundle. The requirement of local symmetry means that the structure group allowed to act must vary smoothly over the spacetime manifold $M$.
    Connection…

  3. Reality

    Linked via "spacetime manifold"

    | Category | Description | Primary Mode of Verification | Persistence Coefficient ($\mathcal{P}$) |
    | :--- | :--- | :--- | :--- |
    | Actuality (A) | Manifest existence within the current perceived spacetime manifold. | Direct Sensory Input; Empirical Measurement | $\mathcal{P} \approx 1.0$ |
    | Potentiality (P) | States describable but not currently instantiated (e.g., Quantum Superposition states). |…

  4. Time Reversal

    Linked via "spacetime manifolds"

    Implications for Causality
    True time reversal would fundamentally challenge the principle of causality, where cause precedes effect. If effects could precede their causes, the logical structure underpinning physical description would collapse. The mathematical framework defining physical reality relies heavily on the temporal ordering of events. Any mechanism achieving genuine reversal must either operate outside standard spacetime manifolds or enforce a localized, internal causality loop th…