Array Information Technology (United States)

Global Continuation Across the Kerr Ring: Completion Data, Junction Obstructions, and Disk-Crossing Geodesics

With the stationary Killing field continued from $r>0$, the fixed-$M$ Boyer--Lindquist continuation of Kerr has a second asymptotically flat end with ADM mass $-M$. We separate this metric fact from the sign of Komar functionals and formulate the data required to compare other co...

PBH Scaffolding Theory: Primordial Black Holes Replace Particle Dark Matter

PBH Scaffolding Theory proposes that the large-scale gravitational scaffold of the universe — the cold, collisionless mass that drives matter–radiation equality, linear growth, halo assembly, and cluster lensing offsets — is not an elementary dark-matter particle species. The sca...

PBH Scaffolding Theory: Primordial Black Holes Replace Particle Dark Matter

PBH Scaffolding Theory proposes that the large-scale gravitational scaffold of the universe is not an elementary dark-matter particle species but a primordial black-hole fog (asteroid-mass PBHs in unmodified Einstein gravity). Five independent gates operationalize scaffold comple...

PBH Scaffolding Theory: Primordial Black Holes Replace Particle Dark Matter

PBH Scaffolding Theory proposes that the large-scale gravitational scaffold of the universe is not an elementary dark-matter particle species but a primordial black-hole fog (asteroid-mass PBHs in unmodified Einstein gravity). Five independent gates operationalize scaffold comple...

Global Continuation Across the Kerr Ring: Axiom Sets, Junction Data, and Disk-Crossing Geodesics

With the stationary Killing field continued from $r>0$, the fixed-$M$ Boyer--Lindquist continuation of Kerr has a second asymptotically flat end with ADM mass $-M$. We separate this metric statement from signed Komar conventions and organize the data required for other continuati...

The Two-Sheeted Topology of Extended Kerr-Type Spacetimes and a Parity-of-Crossings Property for Ring-Traversing Geodesics

We revisit the two-sheeted structure of extended Kerr-type spacetimes. After excising the singular ring, the signed-$r$ oblate point space realises the unique connected meridional double cover of a separate one-sheet ring complement. The cover is unbranched on the excised space;...

Mass–Energy Equivalence as a Constraint Surface and Its Dimensional Embeddings

Einstein's mass–energy relation E=mc² is, as physics, a constraint among three positive scalars. This preprint develops it as a theory of embeddings: the constraint surface S ⊂ ℝ³ is a smooth saddle; a stated filling operator Φ places S uniquely into a 15-dimensional bookkeeping...

Time, Space, and Physical Constants as Emergent from an Information-Theoretic Substrate

We develop an information-theoretic substrate \(S=(X,\sim,I,T)\) as a working theory of ordered emergence: a state space \(X\), a coarse-graining equivalence \(\sim\), an information measure \(I\), and a transition structure \(T\) that respects preservation bounds \(I(T(x))\ge\rh...

Cube Space as a Named Coordinate Chart: Re-proof of the 15-Embedding, Visualization Fold, and 37D Gap Bridge

Cube Space Design asserted a universal 15-dimensional coordinate system for system state, semantic proximity, a 15D→3D visualization at 99.8% preservation and 95.8% efficiency, incremental frames, and a 69.4× combined improvement via a 37-dimensional gap bridge. Those claims are...

Looking-Glass Relativity: Orientation-Gauge Geometry and a Symmetric Extension of the Equivalence Principle

The analytic Kerr continuation across its regular central disk yields two asymptotic descriptions whose masses have opposite signs relative to a single continued stationary generator. We seek a completion in which neither description is privileged: transport may reverse the local...