Research Notes

Logs, predictions, hypotheses, course-corrections. Each entry has two columns: the left preserves full author rigor for auditors; the right summarizes for readers. Both columns share the same underlying material — no rewriting between technical and popular registers.

This page is the narrative spine: predictions made, observations recorded, hypotheses tested, course-corrections taken when data disagreed with expectation. Each entry links to the supporting/refuting tests on the Tests & Results page and the relevant audit if one exists.

Log Open

Hubble Tension — Honest Fence-Sit Within ~4 pp, No Fitting

The Hubble tension — the 67 km/s/Mpc (CMB) vs 73 km/s/Mpc (SH0ES) gap — is treated by the wider community as a ~5σ demand for new physics. TLT was put to the question: does the framework explain the 0.923 ratio? Two independent analyses landed within ~4 percentage points without fitting, but neither...

tlt cosmology
Log Confirmed

Triangle Regression — v12's Geometric Foundation (Scale-Indifferent)

Cipher v12's leap over v11 (91/107 with 0 misses vs v11's 71/107 corrected) came from replacing v11's framerate calculation with v12's triangle regression — a purely geometric foundation that is *scale-indifferent*. Architecture change: v11: computed framerate at each dimensional position; used fra...

cipher v12
Log Confirmed

Nuclear Magic Numbers — All Seven Derived From Geometric Cycles

The seven nuclear magic numbers — 2, 8, 20, 28, 50, 82, 126 — are the proton/neutron counts at which nuclei are anomalously stable. The Mayer shell model fits them with a phenomenological spin-orbit term but doesn't explain *why those specific integers*. Under the cipher framework's cycle-specific r...

cipher v12
Log Confirmed

The c-Ladder Above Dimension 3 — Fibonacci Was Wrong, Tribonacci Is Right

Cipher v9 used a single Fibonacci/8 formula to extrapolate the speed-of-light c-ladder across all dimensions. In April 2026, the derivation completed for 5D and 6D revealed that dimensional cycles each have their own recurrence engine, with the cycle orders themselves following Fibonacci (2, 3, 5, 8...

cipher v12
Log Open

Gallium Framerate Exploit — CN=7 + {7} Boundary = Anomalous Behavior

Gallium has multiple anomalies — 29.76°C melting point, 2,400°C boiling point (2,370°C liquid range, widest of any element), contraction on melting, CN = 7 coordination (rare among metals). Conventionally these are explained piecemeal. The framework predicts a single geometric source: CN = 7 places...

cipher v11
Log Open

Framerate Resonance Chamber — Twin Cold Plasma Tori + {7}-Fold Rotating Shell

The framerate resonance chamber is a device concept that uses frequency-driven geometric pumping instead of heat to drive plasma into prescribed configurations. Designed to enable synthesis of materials with internal geometric structures that conventional methods cannot produce. Architecture: Twin...

plasma engineering
Log Open

4D Triality — Matter, Antimatter, and the Emergent Third

The 4D triality is the framework's prediction that cycle-2 dimensions come in *triplets* — matter, antimatter, and an emergent third configuration — where cycle-1 had only doublets (matter/antimatter). Geometric basis: the 24-cell (4D regular polytope) carries three distinct symmetry orbits. Two are...

cipher v11
Log Confirmed

The Cipher Reads True Non-Euclidean Geometry — First X-Ray-Less Measurement

While analyzing cipher v11 results, a persistent 2–3° offset between cipher angular predictions and crystallographic-measurement values was observed. Initial hypothesis: cipher bias. The breakthrough finding: the offset is real geometric curvature, not error. The cipher reads true non-Euclidean geom...

cipher v11
Log Superseded

Cipher v11 — Complete Self-Derivation From Z Alone, 98.1% Match

Cipher v11 closed the long-standing self-derivation problem: predict every element's crystal structure from atomic number Z alone, with no external lookup, no NIST data, no fitted parameters. The derivation chain: Z → electron seating on spiral (Thomson + Fibonacci hybrid) → coordination number → ei...

cipher v11
Log Confirmed

The f|t Snap IS Tunneling — Pre-Snap and Post-Snap States Unified

The cipher's pre-snap f-state (unfolding angle 99°) and post-snap |t-state (109.5° tetrahedral) were initially treated as separate cipher regimes. The breakthrough: they are the same phenomenon — pre- and post-tunneling states of a single quantum process. The mechanism: Pre-snap (f-state at 99°): a...

cipher v11
Log Open

8 Hz and 432 Hz Emerge From the Capacity Quadratic — Not Imposed

The framework's staging-quadratic capacity equation was derived to fit boundary energies across cycle-1 dimensions (0.14% accuracy). It was *not* fit to brain rhythms or musical frequencies. Two emergent results show up as byproducts: 8 Hz — solving the quadratic at d ≈ 2.83 (the 2D→3D boundary reg...

tlt consciousness
Log Open

Fullerene Battery — C60 as Resonant Electron Trap (Geometric, Not Chemical)

The framework predicts a class of geometric batteries that retain electrons via resonant confinement in geometric cavities, not via chemistry. The lead candidate is C60 (buckminsterfullerene). Why C60. Three geometric features combine: Sphere-like uniformity (HPC-032 score 1.06) — efficient EM dist...

geometric battery
Log Confirmed

Cipher Corrections Hurt Accuracy — Pure Geometry Beats Imposed Adjustments

Across April 2026 a clean test (v12, no correction terms) outscored every corrected version (v6 through v11). v12 hit 82/107 against v11's 71/107 on the same periodic-table prediction battery. What this tells us: the geometric signal in cipher carries the information directly. Correction machinery w...

cipher v12
Log Open

{3} Concentrates, {2} Transports — Factor-3 Concentrator Hypothesis

A pattern observed across multiple scales: {3}-fold features concentrate, {2}-fold features transport. The framework's {2,3} organizing pair carries distinct functional roles for the two members, not interchangeable members of a symmetry set. The pattern across 4 scales: 1. Particle physics: 3 quark...

cipher v9
Log Superseded

Dimensional Progression v2 — Cycle Restart Model, Not Single-Peak Cascade

Earlier framework formulations described dimensions as a single-peak monotonic progression. This entry documents the revision to a cycle-restart model (3-dimension cycles with parameters scaled by π between adjacent cycles' analogous slots) and its eventual subsumption into the Tribonacci cycle-spec...

cipher v9
Log Confirmed

Wigner-Seitz Internal Resonance — Atoms Are Walls, Voids Are the Cavity

The framework offers a dual description of crystal structure: atoms are the walls of internal cavities, and the voids between atoms are the resonant cavities. Same Wigner-Seitz partition as standard physics, read from the other side. Why this reading is predictive: 1. Cipher archetypes (Diamond, BCC...

cipher v9
Log Superseded

Cipher v8 — Geometry Rings at Coord/{2,3} (Lattice Resonance Mechanism)

Cipher v8 introduced the lattice-resonance mechanism: any lattice with coordination number CN has resonant modes at f_n = f_0 · CN/{2,3}^n. Same {2,3} that organizes periodic crystals; same mechanism applies cross-scale from atomic to cosmic. v8 cleared 100% on ductility, conductor classification, a...

cipher v8
Log Open

Plasma Phasing + Geometric Nudging — High-Frequency Cold Plasma in Shaped Cavities

The framework predicts a class of plasma-engineering applications where high-frequency cold plasma in geometrically-shaped cavities can be nudged toward specific structural outcomes by geometric parameters alone — no chemistry adjustment, no temperature scaling. Mechanism: plasma is "blank canvas ma...

plasma engineering