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Construction workbench

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ANTI CANDIDATE VIEW: invert each supplied generator separately, preserving geometry, metrics and interface roles. This selects antiproton, antineutron, positron and antineutrino #1, not a reversed native coefficient protocol or a derived charge/spin assignment. Fixed vertices remain in the arrow tables, not extra direction arrows. Photon is unchanged. Reversal packet · Exact reversal record · Positron record

Display layers · advanced
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Seed, phase, and coordinate guides use the completed geometry. They are optional overlays, not a loading indicator.

NEUTRINO SEED HYPOTHESES. Seven numbered arrow inputs run through the common geometric assembler with explicitly supplied metrics and roles. No spin, charge, flavor or physical neutrino identity is assigned. Higher-dimensional outputs are projected. Shown only in separate layout.

Electron / positron candidates

Same pentachoron geometry and shared assembly stages. The right-hand copy is a positron hypothesis, not an independently derived particle.

The arrows show c = exp(iφ) and c* = exp(−iφ) in a complex coefficient plane—not spatial motion or electric flux. Coefficient conjugation alone is not a derived charge-conjugation operator. Opposite electric charges and an annihilation rule remain unconstructed.

Construction stages and arrangement

Separate constructions.

Earlier whole-pair parent / direction trial

A 4D parent of the face-attached pair. The hidden height is supplied, not derived. This tests a common parent; it does not yet identify the electron with the whole parent.

Gold arrows show one incidence path, not electric flux. Reversing this path alone leaves the cyclic mode unchanged. Reversing the cyclic order is a separate operation that conjugates the mode.

Proton / neutron / electron geometry stages

Common geometric recipe: seed orbits → maximal supporting facets → retained modes and interfaces → center cones. Below, exploded views show the stored pieces and gluing; they are not physical time evolution.

Photon candidate · retained two-face seed

ABC and BAD are hinged along AB in the existing tetrahedral metric. Five edge supports, six directed occurrences, two faces; CD is absent. Choose Seed arrows above to see both oriented cycles. The shared AB occurrences cancel only in the boundary, not in the retained arrow registry.

This is the same primitive arrow set as the proton seed, retained before full tetrahedral completion. The unchanged assembler would still produce four facets; this view does not add a photon-specific stopping rule.

The two displayed seeds have identical geometry and different prepared circular states: (1,+i)/√2 and (1,−i)/√2. The circles underneath are orthonormal coefficient charts (q,p), not spatial photon paths or extra seed edges. The source retains two conjugate cyclic modes on a real two-dimensional plane, with a three-step aggregate return and invariant metric diag(3,1). These are not a derived photon polarization, speed, energy, or emission law. Why this stage is selected as a separate emitted sector remains open. The build buttons do not complete or reshape this retained seed.

Photon polarization · constructed mode plane

Chart phase is an illustrative display parameter, not elapsed time or a photon frequency. Paired reversal uses the retained Riesz identification and positive metric normalization: (q,p) → (−p,−q). It is not the raw occurrence permutation, and is separate from the matter inverse-seed switch.

Polarization transport packet · Exact transport record
Packet and verification scope · Exact retained-stage record


Numbered neutrino seed candidates
Uses the same eight stage buttons under Construction stages and arrangement. The assembler is unchanged; realization inputs remain explicit.
For #1, the local cyclic character equals an ordinary proton face's character. No unmarked single attachment edge is selected; the inherited pole rule would give an edge port, not a triangular-face port. This view does not glue the disk to a proton face. Selection comparison and attachment obstruction.


Seed-generator shapes
Off. Enable to highlight the supplied cycles on completed geometry; earlier stages advance to the glued presentation.
What the thick arrows mean
Proton: gold A→B→C→A and pink B→A→D→B are the two supplied generator cycles. Neutron: cyan A→B→C→A and violet D→E→F→D are two orbits of one affine action (r,z)→(r,ωz) in R⊕C, with ω=−1/2−i√3/2. Carrier seeds are A and D. The supplied height is h=7/20; distance²=(r−s)²+|z−w|², or metric diag(1,1,3) in z=a+i√3b. The display uses (x,y,z)=(Im z,r,Re z). Real separation is coordinate data, not an invented cross-rim translation arrow. Neutron definition · Exact arrow input · Checked comparison. Electron: green A→B→C→D→E→A is its supplied five-cycle, displayed through the current 4D-to-3D projection. A collapsed projected edge has no visible direction arrow. Only arrows are added: the reserved neutron cap faces remain unfilled.
The compact sources contain one proton seed point, two neutron seed points, and one electron seed point (the attachment pole E), not physical particle definitions. The neutron's R⊕C arrow frontend reconstructs one affine action from all six correspondences and uses the existing geometry/cycle backends; it does not supply the workbench's coefficient-network stages. Thick arrows display generator action and its rim orbits—not trajectories, electric current, or a physical time law. The two opposite AB arrows use slightly separated display lanes. Source records and scope


Retained complex-phase links
Solid: spatial edges / fixed real channels
Dotted: retained non-real character channels
Small coefficient-plane guides are attached to facet centroids. Dotted links stay dotted throughout their return—even when an instantaneous component is real. They are not additional spatial edges.
Steps illustrate supplied order-3 / order-5 actions, not particle periods. Fixed neutron cap-centroid channels remain visible; no cap solid is added.
What the retained records establish
Each guide shows the phase of one nonzero Fourier component at normalized display length, not an amplitude or energy scale. Each proton facet uses the first supplied generator that moves it; this is not one global proton trajectory.
Full geometry plus ordered corners and native adapters recovers 12 proton and 18 belt phase modes and 21 belt seam projectors. The belt memory construction retains 18 phase and 21 seam amplitudes; these are not the centroid channels drawn here or 21 automatically occupied bits.
The electron five-cycle moves its attachment cell. Its existing spinor remains a four-face attachment-cell construction; five-cell spinor/energy transport is still open. Reversible records and conditional storage do not yet predict mass, binding or isotope stability.
Phase / energy bridge · Current research checkpoint




Electron inspection · projection and operator checks
The electron is now drawn as a projected regular 4-simplex ABCDE. ABCD is its retained tetrahedral boundary cell; its ABC triangle supplies the existing attachment.
Boundary-cell operator checks
Optional diagnostics on ABCD, separate from the shared geometry sequence. The four-face spinor calculation is not a derived five-cell operator.
Encoded face weights ‖ψᵢ‖²
FaceWeight
144 transfers; two retained complex components. Polarization arrows are not trajectories. The spinor sign is relative to the stored input, not visible in the solid alone. Charge, mass, exchange statistics are not derived by these operator checks.


Source-backed constructions in one scene; the optional numbered neutrino seed hypotheses are explicitly speculative. Exploded positions let you inspect the shared-face identifications; they are not a physical time evolution. The belt’s neutron interpretation remains a candidate.


Source procedures
Packet grouping / endpoint wiring
Seed rotations / triangle orbit
Electron candidate: spinor construction →
Conditional fourth: construct and compare →


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