What question did this study set out to answer?

The aim is to derive a new spacetime metric and dark-matter analogue using a single microscopic postulate based on discrete orientations.

April 23, 2026Open Access

Directional Anisotropy Gravity (DAG) — Gravity Sector, v11: Paired Directional Channels, Emergent (3+1)-Dimensional Spacetime, Effective Field Theory, Dark Sector, and Galactic Phenomenology

Key Points

The aim is to derive a new spacetime metric and dark-matter analogue using a single microscopic postulate based on discrete orientations.
Derivation of a lattice action leading to O(3)-symmetric kinetic terms.
Formulation of six falsifiable predictions based on static field equations.
Consistency checks against galaxy rotation curves and BAO data from different datasets.
The prediction for acceleration-balance radius aligns with SPARC galaxy data at 0.6σ.
Statistical consistency with BAO data slightly favors the DAG model over ΛCDM.
Memory-profile exhibits an asymptotic behavior consistent with predicted dark matter dynamics.

Abstract

Directional Anisotropy Gravity (DAG) derives the (3+1) -dimensionalspacetime metric and a dark-matter analogue from a single microscopicpostulate: a discrete oriented substrate whose six directional channelsform three axis-defining pairs of opposite orientations. From an explicit lattice action the paper derives: the O (3) -symmetriccontinuum kinetic terms; the asymptotic rhoₘem ∝ r^-2 memory-haloprofile from the static field equation; and both post-Newtonianparameters γPPN = 1 (algebraic) and βPPN = 1 (derived underreduced-sector closure). Six falsifiable predictions are formulated. The presently testable prediction — the acceleration-balance radiusrAQUAL ∝ Mb^1/2 (Prediction 4) — is consistent with the 152-galaxySPARC rotation-curve sample at 0. 6σ. Consistency checks: DESI DR1 BAOχ²/ν = 1. 25 vs 1. 54 for ΛCDM (marginal, 13 points) ; full-BoltzmannCMB bound δ₀ ≲ 0. 064 (1σ, TT only) via MGCAMB (companion supplement, doi: 10. 5281/zenodo. 19683210). Changes from v10: restructured abstract around a single central claim;epistemic-scope paragraph converted to a four-point labelled list (derived / conditional / exploratory / open problems) ; strong-field andradiative sections (GW speed, binary pulsar, CMB) explicitly labelledas consistency checks; new paragraph clarifying the two dynamicalregimes of the memory-field equation (minimal DAG vs. AQUAL extension) ;self-signposting language removed; companion technical supplement (doi: 10. 5281/zenodo. 19683210, published 2026-04-21) added to references.

Directional Anisotropy Gravity (DAG) — Gravity Sector, v11: Paired Directional Channels, Emergent (3+1)-Dimensional Spacetime, Effective Field Theory, Dark Sector, and Galactic Phenomenology

Key Points

Abstract

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