DJAMILAR: Gravity as Geometric Filtration — A Common Geometric Origin of Gravitation, Quantum-Classical Behaviour and Dark-Sector Phenomenology
Abstract
Abstract DJAMILAR investigates the hypothesis that microscopic apertures in the structure of spacetime, the Djamilars, provide a common physical origin for gravitational response, the quantum–classical transition and part of the phenomenology attributed to dark components. We construct an effective framework for this programme, separate inherited structures from Djamilar-specific identifications, and derive relations that can be tested independently. The geometric loading C d = π n d r d 2 is mapped to a covariant scalar–aether–memory representative built on aether–scalar–tensor theory, whose scalar equation is written directly for the aperture radius. An induced-gravity interface relates the Einstein coefficient to a renormalized stress-trace moment. On the tracking branch, under its preferred-frame premise, the local conversion obeys the exact identity C tr IR = 1/(1 + α 1 tr /8); post-Newtonian coefficients of the screened branch require a complete constrained finite-source reduction. A completely positive Gaussian generator attached to the aperture state gives exact decoherence, momentum-diffusion and heating relations. For galaxies and the Solar System, an interpolation-independent monotonicity theorem supplies a conditional no-overlap test, and a higher-spatial-derivative candidate defines a convex static problem with a unique weak solution and an isolated crossover scaling as M −1/2 ; dynamics and lensing must follow from the same metric solution. In homogeneous…
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