Dark Matter Phenomenology from the Holographic Bit-Mode Balance Framework

The gravitational excess phenomena commonly attributed to dark matter are usually explained in standard cosmology by introducing a non-baryonic matter component. In this work, we investigate an alternative route within the Holographic Bit-Mode Balance (HBMB) framework. The central HBMB principle is that Bekenstein-Hawking entropy is not merely an informational upper bound, but a physical bound on resolution and on the number of independent bulk modes that can be associated with a local screen or horizon. As a consequence, bulk reconstruction is naturally capacity-limited and spectrally truncated, while the large-l sector does not disappear through a sharp cutoff, but survives as an accessibility-weighted soft remainder.The present version sharpens the main HBMB claim by identifying the primary analytic object as a three-dimensional effective density profile, \( \rho_{\rm HBMB}(r)=\frac{\rho_0}{r^2+r_0^2} \), rather than postulating the projected filament profile directly. For cylindrical filament geometry, this leads to the observable projected profile \( \Sigma_{\rm fil}(R)=\frac{\pi\rho_0}{\sqrt{R^2+r_0^2}} \), which has a finite core and an R^(-1) outer wing, consistent with the standard cylindrical beta = 2/3 benchmark used in part of the filament-stacking literature. In parallel, we formulate an alternative local-screen route based on Wheeler-DeWitt self-energy corrections and an alpha-fixpoint-like capacity-demand selection principle. In that route, tidal and density/Poisson screen selectors yield physically reasonable local screen scales, while a Schur-complement-motivated second-order closure, \( g_{\rm HBMB}=\xi\,\frac{a_*^2}{g_{\rm bar}} \), \( \qquad a_*(x)=\frac{c^2}{\sqrt{N_c}\,R_*(x)} \), produces a toy-model low-acceleration slope consistent with the RAR/MOND-like 1/2 scaling, although a full SPARC-level validation is left for future work. The paper therefore presents two complementary HBMB testing routes: a filament-profile route that is directly testable in stacking and lensing, and a local-screen galaxy route that provides a concrete mechanistic path toward galaxy-scale phenomenology.