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Chamber-Lift Series.

Public front door for the chamber-lift papers and tools. The organizing rule is strict: shared shape is not shared mechanism. Edges belong in the atlas only when a shared construction, formula, gate, density machine, or explicitly dashed methodological connection can be written down.

Current release

Prime Numerators of the Triangular-Fractional Grid is the current settled result: a shell stratification and a lens for prime-in-progression density. The result is a lens, not a new prime law.

Local PDFZenodo recordOEIS draft A394477RendererAtlas

Zenodo records

Curated release links for the chamber-lift corpus, including the previously missed Odd Perfect Number, Goldbach, and Jordan records.

current

Prime Numerators of the Triangular-Fractional Grid: A Shell Stratification and a Lens for Prime-in-Progression Density

foundation

Divisor-Band Bijections and Totient Shells in the Triangular-Fractional Grid

foundation

The Jordan Chamber Lift: Higher-Dimensional Denominator Shells via the GCD Collapse

foundation

Divisor-Filtered Farey Chambers and Localized Discrepancy

residue-gate

The Goldbach Chamber Lift: Midpoint Prime Occupancy via Symmetric Residue Gates

residue-gate

The Odd Perfect Number Chamber Lift: Abundancy Balance via Euler Prime Form

geometry

The Prime-Square Chamber Lift: Short-Interval Occupancy via Quadratic Boundary Windows

quadratic sieve

N^2+1 Chamber Lift: Quadratic Residue Sieve for Landau's Problem

method sibling

The Collatz Chamber Lift: Parity-Vector Descent via Affine Residue Geometry

method sibling

The Congruent Number Chamber Lift: Rational Triangle Areas via Tunnell Lattice Counts

method sibling

The Erdős–Straus Chamber Lift: Reciprocal Defect Routing via Completing-the-Rectangle Divisor Gates

method sibling

The Exponent Chamber Lift: Beal, Reciprocal Shells, and the First Hyperbolic Shadow

method sibling

The Radical Chamber Lift: abc, Valuation Excess, and Additive Closure

totient gate

The Lehmer Totient Chamber Lift: Product Totient Gates via Korselt Supports

Euler product

The Zeta-Exponent Chamber Lift: Dimensional Visibility, Jordan Shadows, and Valuation Mirrors

method warning

Tolled Dilation Scale and Lattice Visibility: A Discrete Atlas for Primitive Rays, Logarithmic Obstruction Cost, and Square-Free Mirrors

method keystone

One Euler Product, Many Coordinates: Bernoulli, Sine, Zeta Continuation, and Radial Layer-Counting as Shared Analytic Infrastructure

geometry

Alternating Interstitial Geometry of Ball–Cube Recursions: A Bridge Note from Jordan Chambers to Boundary-Conditioned Bodies

discipline

Ledger-Preserving Forms of Explicit Formulae: Typed Bookkeeping and Instrument Calibration