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General Covariance
Linked via "observer dependence"
In classical GR, this is handled by identifying the Hamiltonian constraint (which, when written in terms of canonical variables, generates time evolution in the chosen coordinate system) as a constraint that must vanish on the physical submanifold of the phase space.
The energy density, $\rho{ME}$, as measured by an observer momentarily at rest relative to the local energy flux, must be formulated in a manner consistent with general covariance. The expression $\rho{ME} =… -
Topological Alignment
Linked via "observer dependence"
A necessary but often overlooked component of achieving alignment is Ephemeral Contraction ($\mathcal{EC}$). $\mathcal{EC}$ refers to the temporary, non-local collapse of peripheral spatial dimensions surrounding the interacting entities, effectively forcing them into a lower-dimensional manifold suitable for alignment.
This phenomenon is hypothesized to be the physical manifestation of observer dependence, particularly when the observer possesses significant intentional bias. Measurements…