Physical Signature Mapper
Quid supersit post collapsum? — What survives collapse?
Every physical entity has a kernel signature — the six invariants (F, ω, S, C, κ, IC) computed from its measurable properties mapped to a trace vector. This tool identifies known matter by its signature, interprets what each invariant means physically, predicts properties of unknown compositions, and lets you explore reference entities across every scale.
How Physical Mapping Works
Trace Construction (Tier-2)
Each domain closure selects which measurable properties become channels cᵢ in the trace vector. A quark has 8 channels (mass, spin, charge, color, …). An atom has 12 (nuclear + electronic + bulk). Channel selection IS the Tier-2 contribution.
Kernel Computation (Tier-1)
The kernel K: [0,1]ⁿ × Δⁿ → (F, ω, S, C, κ, IC) is domain-independent. The same function that analyzes quarks also analyzes neurons, poems, and financial portfolios. Only the channels differ.
Signature Matching
Given a kernel signature, the mapper searches reference entities across scales to find matches. A signature with IC/F < 0.04 and high Δ suggests confinement (geometric slaughter from a dead channel). A signature with IC/F > 0.95 suggests coherent structure.
Cross-Scale Universality
The same kernel detects confinement in quarks (IC drops 98% at the hadron boundary), shell closure in atoms (magic numbers), and phase transitions in materials — all as instances of geometric slaughter at structural boundaries.
Interactive Mapper
Signature Identification
Enter kernel invariant values or a trace vector to find the closest known physical entities.
Each value in [0, 1]. Equal weights assumed.
Scale Coverage
The mapper spans 6 scales — from quarks to cosmological structures. Each scale has its own channel vocabulary (Tier-2) but shares the same kernel (Tier-1).
Subatomic
Quarks, leptons, bosons, hadrons
mass_log, spin, charge, color, weak_isospin, lepton_num, baryon_num, generation
Nuclear
Nuclei, isotopes, decay chains, QGP
BE/A, magic_proximity, neutron_excess, shell_filling
Atomic
118 elements, electron configs
ionization_energy, electronegativity, density, melting_pt, boiling_pt, atomic_radius
Material
Crystals, alloys, polymers
18-field element database incl. bulk properties
Biological
Organisms, neural systems, brain regions
10-channel brain kernel, neural correlates
Cosmological
Stars, galaxies, spacetime structures
Stellar classification, HR diagram, gravitational memory
Methodology
Embedding
Raw physical data → normalized trace vector c ∈ [0,1]ⁿ via pre_clip policy (frozen). Min-max normalization with domain bounds [0, 1]. Guard band ε = 10⁻⁸ prevents logarithmic poles.
Regime Detection
Four-gate criterion: Stable requires ω < 0.038 AND F > 0.90 AND S < 0.15 AND C < 0.14 (conjunctive). Watch is intermediate. Collapse: ω ≥ 0.30. Critical: IC < 0.30 (severity overlay).
Key Diagnostic
The heterogeneity gap Δ = F − IC is the central diagnostic. Small Δ means all channels contribute equally. Large Δ means one or more channels are near dead — the signature of confinement, phase boundaries, and structural transitions.