The Multi-Dimensional Position Law

In the double-slit experiment, the electron (helical turn N) passes through Slit 1. Its temporal extension — turn N+1 — displaced by λ_h passes through Slit 2 simultaneously. The electron passes through one slit. There is no mystery: the helix has exactly the spatial reach needed for two-slit self-interference.

FOT fringe spacing y_n = n × λ_h × L / d = y_n(QM) × r, where r = 1.004694 = 5⁷/(2⁴×3⁷). A precision electron interferometry experiment measuring fringe positions to better than 1000 ppm would distinguish FOT from Copenhagen. Current experiments approach this precision.

Observed fringe positions are exact — not probabilistic — to the precision of every experiment ever performed. Exact fringes are produced only by exact periodic geometry. r is a pure {2,3,5} fraction; the interference pattern is a spatial photograph of the electron's helical temporal structure.

A detector at Slit 1 anchors the electron's helical phase. Once anchored, turn N+1 no longer exists as a free helical excitation. Partial measurement with detection probability p gives fringe visibility = (1−p), varying linearly with measurement strength. Derived from geometry, not postulated as collapse.

The quantum eraser effect is phase coupling between the measurement interaction and the helical phase of the particle — not retrocausality or backward-in-time influence. When the which-path Tau-quantum is erased, the helical phase is released and interference resumes.

Single-slit first minimum at θ₁ = λ_h / a, i.e., θ₁(FOT) = θ₁(QM) × r (+4694 ppm). The uncertainty relation becomes Δx × Δp ≥ ħ_FOT / 2, where ħ_FOT encodes the same {2,3,5} prime ratio throughout.

Electron spin is the chirality (handedness) of the helix. Spin-up = right-handed; spin-down = left-handed. The Pauli exclusion principle: two electrons cannot share the same helical shell address AND the same handedness — one antipodal point per handedness per shell. Fermionic statistics from geometry alone.

H-beta = 486.0000 nm = 2 × 3⁷ nm exactly. This is the master seed of the entire FOT lattice: the spectral frequency that anchors the G-bond radian tower, the Fibonacci spiral address, and the double-slit correction ratio r simultaneously. Pure {2,3} prime signature.

G1 [rad] = 27π/10 = 3³π/(2×5) exactly. The 27 encodes the solar rotation period in days (27.2753 d sidereal). This exact radian value anchors the entire G-bond spectral tower. The Sun's rotation period is encoded in the speed of light in radians.

rad_n = (27π/10) × (1+δ)ⁿ, δ = 90.15 ppm. Each G-bond step shifts the radian address by the Radian Veil factor δ, producing the ladder of shells at 13,513 km spacing. All shells derive from the pure {2,3,5} ratio δ.

Δr = c_G1 × δ × 500 s = 13,513 km per G-bond step = 2.12 Earth radii. Earth simultaneously exists at all six shells listed. The Dual position at n=3.221 arises from the G1 speed / G2 period intersection and belongs to a different dimensional register.

Each G-bond step shifts the Fibonacci turn by only 93.67 micro-turns (δ/ln(φ²)). All of Earth's simultaneous G-bond shells map to Z = 7.800 ± 0.003 — the nitrogen-oxygen zone. Fibonacci spiral = macro-address; G-bond tower = micro-addresses within that node.

Fibonacci crossings F(2), F(4), F(6) at 1.25 Å/unit land at the 1s base ring interior (1.25 Å), 2s antimatter crossing (3.75 Å), and sugar-phosphate backbone (10.00 Å). The Fibonacci sequence that generates solar orbital structure maps exactly onto B-DNA's molecular architecture.

At Fibonacci turn 2.96, the spiral reaches 8.65 Å — the position of N9, the glycosidic nitrogen of purines (adenine, guanine), which connects the base to deoxyribose. Confirmed by P-NDIM: N9 × H-beta = 2×3⁷ = 4374 nm (Earth near-infrared absorption window). Same entity, same address, different Tau magnitude.

At Fibonacci turn 2, the spiral crosses from the matter strand to the antiparallel strand of B-DNA. Venus sits at turn 2 and rotates retrograde. Venus's retrograde rotation is the antiparallel strand signature — not a quirk of planetary formation. Product: 90 Mkm × 108 Mkm = 9720 = 2³×3⁶×5 (pure {2,3,5}).

The gap from Fibonacci turn 2.96 to turn 3.00 is Δr = 0.39 Å — comparable to one covalent bond length. N9 is structurally one covalent bond (N9–C1' glycosidic bond, ~1.47 Å) from the backbone. This is why the observable domain terminates at Earth: the helix reaches N9 at turn 2.96 and the next crossing is at turn 3.00.

Mercury = 1s base ring (H, Z=1). Venus = 2s antimatter crossing (Li, Z=3, retrograde). Earth = N9 glycosidic nitrogen (O, Z=8, Fibonacci turn 2.96). Oxygen node (backbone) = Z=8 = turn 3.00. Periodic table atomic numbers map directly onto Fibonacci spiral positions in both the solar system and B-DNA.

186.054° × π/180 = 3.24725 rad = 1.0336π. Dividing by 2π recovers Earth's orbital speed: 29.611 km/s. Dividing by 10 recovers Earth's Fibonacci position: 2.961 turns. One Tau-quad value encodes: speed of light, time duration, bilateral AU diameter, dimensional address, orbital speed, Fibonacci position, and H–O–H bond angle (104.4°).

Every physical entity simultaneously occupies all five dimensional levels of the Tau-hierarchy. No entity exists at fewer than five levels simultaneously. The five addresses are real, causally active, and separated by the prime-signature boundary values 703,125 / 2,187 / c_G1 / bilateral lemniscate.

Quantum measurement is dimensional-level selection, not wavefunction collapse. Every measuring instrument operates at a specific dimensional level and couples to that level's Tau address. The addresses at the other four levels remain real, causally active, and unaffected. The "wavefunction" is the five-level Tau-helix projected into a single-level instrument's readout.

Boundary L1→L2: 703,125 = 3²×5⁷. Boundary L2→L3: 2,187 = 3⁷. Boundary L3→L4: c_G1. Boundary L4→L5: bilateral lemniscate. Physical constants that disagree with FOT predictions by specific ppm offsets are encoding dimensional projection factors from one level to an adjacent level.

Position couples to Level 4 (spatial node); momentum couples to Level 2 (atomic velocity); energy couples to Level 3 (the membrane). The Heisenberg uncertainty relation Δx·Δp ≥ ħ/2 is the geometric impossibility of a Level 4 instrument resolving a Level 2 address simultaneously. ħ/2 is the inter-level gap at quantum magnitude — the same 703 ppm structural separation that appears at solar-system scale.

Entangled particles share a partial Tau address at one or more dimensional levels. When one particle's level-n address is resolved, the shared-node constraint forces the partner's level-n address to be simultaneously determined — not by information transfer but because they are co-located on the same {2,3,5,π} lattice node. Bell inequality violation confirms Level 2 address identity is a stronger constraint than Level 4 spatial separation.