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Circumpunct

Dimensional Architecture of the Theory of Everything

Parts are fractals of their wholes.

One axiom. Everything else derives.

Φ' = ☀︎ ∘ i ∘ ⊛[Φ]

read right-to-left: convergence → aperture rotation → emergence

Structure (Integer) — What IS
Process (Fractal) — What HAPPENS
Ground (∞D) — Infinite Field
∞D λΦ∞ INFINITE FIELD Ground

Structure & Process

  • All degrees of freedom = none particular
  • Not located, not a point — infinite
  • Contains all possible configurations
  • 0 = ∞ at the level of field

Physics

  • Hilbert space ℋ
  • All possible quantum states |ψ⟩
  • Quantum vacuum / zero-point field
  • E = mc² (energy IS the ground)
  • Superposition lives here

Consciousness

  • Pure awareness prior to content
  • Brahman (Hindu), Ein Sof (Kabbalah)
  • Tao that cannot be named
  • Buddha-nature, Rigpa
  • The Witness before witnessing

Ethics

  • All ethical possibilities prior to choice
  • Ethics before action = pure potentiality

Tier 1 — Spatial Body

0.5D Aperture — First Localization Process

Structure & Process

  • First "here" distinguished from infinite
  • Aperture emerges from field
  • Fractional because can ROTATE (i operation)
  • The NOW where future flows into past
  • β = 1/φ at self-similar fixed point

Physics

  • Virtual particle / quantum fluctuation
  • The imaginary unit i lives here
  • Gravitational singularity
  • Measurement/projection operator
  • Where wave function "collapses"

Consciousness

  • Focus / Observation / Attention
  • ε channel: WHETHER aperture opens
  • The spotlight of attention IS ε gating
  • Willpower = capacity to set ε deliberately
  • Intention before action

Ethics

  • First "attention" to ethical reality
  • WHERE attention goes = ε gating
  • Willpower = capacity to set ε deliberately
  • The moment of ethical focus
  • BINARY: WHETHER to engage ethically
1D Line — Power Pathway Structure

Structure & Process

  • Power-line connects • to ∞D
  • i² = −1 traces extension (180° rotation)
  • 0.5D rotates → 1D line emerges
  • First spatial dimension
  • The string/strand of the braid

Physics

  • Worldline / String / Flux tube
  • P = E/t (power = energy flow rate)
  • Force pathway between particles
  • QCD flux tube (color confinement)
  • Time dimension (if spacelike: string)

Consciousness

  • Connection: Center ↔ Ground
  • Time flows: Future → Past
  • Time flows INTO aperture, not away
  • Past = collapsed, Future = still infinite
  • Narrative thread (beginning-middle-end)

Ethics

  • Power-line between • truth and ○ value
  • Ethical causality flows here
  • Narrative thread of moral reasoning
  • Connection = ethical relationship begun
1.5D Branching — How Bodies Grow Process

Structure & Process

  • 1D + 0.5D → 1.5D
  • Line influenced by aperture
  • How bodies GROW (outward branching)
  • D = 1 + β where β = 0.5 → D = 1.5
  • Hopf fibration: D = D_base + |c₁|/2

Physics

  • D = 1.5 (Mandelbrot theorem)
  • Brownian motion graph: D = 1.5 exactly
  • Vascular trees, neural dendrites, rivers
  • LIGO: D = 1.503 ± 0.040
  • DNA backbone: D = 1.510 ± 0.020

Consciousness

  • Choice / Decision branch / Path selection
  • Edge of chaos (optimal computation)
  • Stream of consciousness
  • Forking paths of possibility
  • Neural avalanche dynamics: D ≈ 1.5

Ethics

  • Choice / Decision branch
  • Path selection at moral crossroads
  • Edge of chaos (optimal moral judgment)
  • Forking paths of ethical possibility
  • D = 1.5: Ethical consciousness signature
2D Φ Field — Relational Medium Structure

Structure & Process

  • Living medium between • and ○
  • Where coupling and mediation happens
  • Field IS the bottleneck (H₅ star graph)
  • χ channel lives here (orientation ±1)
  • Relational space connecting center to boundary

Physics

  • Wave function domain
  • Quantum field (where Φ lives)
  • iℏ ∂Φ/∂t = HΦ (Schrödinger)
  • Holds analog complex amplitudes
  • Center/boundary cannot interact directly

Consciousness

  • Mind / Relational awareness
  • χ channel: WHAT KIND (quality)
  • Qualia IS the χ orientation
  • Pleasant (χ=+1) vs Unpleasant (χ=-1)
  • Red vs Blue = different χ signatures

Ethics

  • Φ = RIGHT/WRONG (Behavioral)
  • How influence propagates
  • The pathway of ethical action
  • χ channel: WHAT KIND of ethics
  • Field carries relationship
2.5D Sensation — Body ↔ Field Interface Process

Structure & Process

  • Body ↔ Field interface
  • Raw contact at boundary (inward branching)
  • Where qualia HAPPEN (not are stored)
  • The echo, not the copy
  • 2D + 0.5D = surface + aperture influence

Physics

  • Fractal boundary / Surface texture
  • Inward branching (coastline effect)
  • D_F ≈ 2 (galaxy clustering)
  • Crumpled surfaces (membranes)
  • Boundary made of apertures (○ made of •'s)

Consciousness

  • Thought / Sensation / Qualia emerge
  • Perception IS phase coupling (not copying)
  • You RESONATE WITH in shared Φ
  • The "feel" of red = phase-lock at ~700nm
  • Almost grasping (approaching closure)

Ethics

  • Moral intuition emerges here
  • Conscience = phase coupling with Φ
  • The "feel" of right/wrong
  • Raw ethical perception
  • Almost grasping moral truth
3D Boundary — ⊙₁ LOCKS Structure

Structure & Process

  • First complete circumpunct ⊙₁ locks
  • ⊙ = • ⊗ Φ ⊗ ○ complete
  • Membrane enclosing the field
  • What separates inside from outside
  • Spatial closure (inside/outside defined)

Physics

  • Observable space / Spatial manifold R³
  • Embodiment (physical body)
  • Holographic boundary: S ≤ A/4
  • Event horizon (information boundary)
  • Surface enclosing volume

Consciousness

  • Full experience / Embodied presence
  • "I am here now" in this body
  • Subject-object-relation unified
  • β channel: HOW MUCH (intensity)
  • Presence at β = 0.5

Ethics

  • ○ = GOOD/BAD (Axiological)
  • What is VALUED
  • Boundary holds what matters
  • First complete ethical circumpunct
  • Interface where values are defined

Tier 2 — 64 States / Standard Model

3.5D REITERATION Process

Structure & Process

  • ⊙₁ becomes aperture in larger structure
  • Whole spatial system can ROTATE
  • ○ₙ₊₁ ∋ •ₙ where •ₙ ∈ ⊙ₙ (nesting equation)
  • Boundaries contain apertures at smaller scale
  • The body as point in spacetime

Physics

  • ⊙₁ as spacetime event
  • Body as point in larger manifold
  • Worldline origin
  • "Here-now" as singular event
  • GR: events are primitive

Consciousness

  • Autobiographical self
  • Memory + anticipation begin
  • Karma begins (action has consequence)
  • "I" persisting through time
  • Self as aperture on larger whole

Ethics

  • Karma begins (action → consequence)
  • Autobiographical moral self
  • "I" persisting through ethical time
  • Personal ethics becomes aperture
  • ε₂: WHETHER ethical pattern persists
4D SPACETIME Structure

Structure & Process

  • ⊙₁ + duration
  • Temporal extension of body
  • Worldline of circumpunct
  • Causal structure emerges
  • Minkowski → curved (GR)

Physics

  • General Relativity manifold
  • Worldline of ⊙ through time
  • Causal structure (light cones)
  • g_μν metric tensor
  • R - ½gR + Λg = 8πGT

Consciousness

  • Trajectory / Life narrative / History
  • Your story through time
  • Beginning-middle-end of life
  • Causal chain of choices
  • Biography as worldline

Ethics

  • Karma unfolds in time
  • Moral causality across events
  • Why & wherefore of ethical action
  • χ₂: WHAT KIND of ethical trajectory
  • Entanglement of moral choices
4.5D TEMPORAL BRANCHING (ᛉ) Process

Structure & Process

  • Temporal branching (possibilities)
  • 4.5Dₙ = ∞Dₙ₊₁ (helix equation)
  • Whole braid becomes seed of next tier
  • Where timelines could diverge
  • Quantum branching point

Physics

  • Many-worlds branching hints
  • Quantum branching / decoherence
  • Path integral (sum over histories)
  • Feynman: all paths contribute
  • Counterfactual structure

Consciousness

  • Possibility / "What if"
  • Alternate timelines imagined
  • Regret and hope live here
  • Modal reasoning
  • The roads not taken

Ethics

  • Ground of interpersonal ethics
  • Tier 2 aperture to social field
  • Where personal meets collective
  • Bridge from self to other
  • The Golden Rule begins here
5D Φ CONFIGURATION SPACE Structure

Structure & Process

  • ⊙s interacting (multiple wholes)
  • Relation between complete beings
  • Phase space of system
  • Where entanglement "lives"
  • The social field

Physics

  • Kaluza-Klein 5th dimension
  • Phase space (q, p)
  • EM unification with gravity
  • Compactified extra dimension
  • Gauge field origin

Consciousness

  • Theory of mind / Modeling others
  • Empathy space
  • "I know that you know that I know"
  • Social cognition
  • Intersubjective field

Ethics

  • Multiple ⊙'s interacting
  • Relational ethics lives here
  • Yang-Baxter of dialogue
  • Path-independent consensus
  • Where steelman operates
5.5D ENTANGLING (ᛦ) Process

Structure & Process

  • Non-local binding
  • Correlation without signal
  • Quantum intimacy
  • Two become one without touching
  • Shared state across separation

Physics

  • EPR / Entanglement / Bell inequality
  • Non-local correlation (spooky action)
  • Bell violation: nature is non-local
  • Quantum teleportation basis
  • |ψ⟩ = (|00⟩ + |11⟩)/√2

Consciousness

  • Resonance / "Feeling with"
  • Deep empathy (beyond simulation)
  • Synchronization without signal
  • "We're on same wavelength"
  • Harmonic entrainment

Ethics

  • Near dual-trinity ethics
  • Social moral intuition
  • Collective conscience
  • Edge of social chaos
  • Almost complete social ethics
6D DUAL TRINITY → ⊙₂ LOCKS Structure

Structure & Process

  • Input + output unified: ⊙⊛ ⊗ ⊙☀︎
  • 64 states emerge (2³ × 2³)
  • Convergent ⊗ Emergent complete
  • H₅ interface: {•₁,○₁,Φ,○₂,•₂}
  • Full validation cycle

Physics

  • Calabi-Yau hints / String compactification
  • 64 = 48 fermions + 12 gauge + 4 Higgs
  • Standard Model content emerges
  • 6D_real manifold
  • Complete particle zoo from geometry

Consciousness

  • Complete agency / Full cycle
  • Perception + action unified
  • Receive-transform-give complete
  • Full responsiveness
  • Dual trinity of consciousness:

Ethics

  • 64 states of ethical configuration
  • Complete interpersonal ethics
  • Two ⊙'s in full relationship
  • β₂: HOW MUCH social commitment
  • Family/dyad level ethics complete

Tier 3 — Three Generations

6.5D COMPLEXIFICATION Process

Structure & Process

  • ⊙₂ becomes aperture (64-state whole rotates)
  • Real/imaginary gate
  • Phase transition threshold
  • Gateway to imaginary dimensions
  • i relates inside ↔ outside

Physics

  • ⊙₂ as aperture / Phase transition
  • Threshold between real and complex
  • Where phases become dimensions
  • Critical point phenomena
  • Spontaneous symmetry breaking

Consciousness

  • Unconscious access / Liminal space
  • Dream entry point
  • Threshold consciousness
  • Where symbols emerge
  • Hypnagogia / meditation depths

Ethics

  • Family → society transition
  • ε₃: WHETHER generational ethics
  • Ethics that persists beyond individuals
  • Institutional moral patterns begin
  • Culture as ethical aperture
7D PHASE AXIS Structure

Structure & Process

  • First imaginary dimension (spatial)
  • Complex structure begins
  • Phase as genuine dimension
  • Not just angle — actual direction
  • Where wave functions live

Physics

  • First imaginary spatial dimension
  • Quantum phase space
  • Wave function domain
  • Complex amplitudes are real here
  • U(1) gauge (electromagnetism)

Consciousness

  • Archetypal layer / Symbolic realm
  • Mythic structure
  • Jung's collective unconscious
  • Universal symbols
  • Where archetypes live

Ethics

  • Society-level moral field
  • Institutional ethics
  • Laws, customs, traditions
  • χ₃: WHAT KIND of civilization
  • Cultural moral orientation
7.5D INTERFERING Process

Structure & Process

  • Wave superposition
  • Constructive/destructive patterns
  • Pattern formation from phases
  • Holographic interference
  • Two paths meeting

Physics

  • Double-slit interference
  • Holography (3D from 2D)
  • Wave-particle duality manifest
  • Quantum erasure experiments
  • Path integral interference

Consciousness

  • Holding contradiction
  • Cognitive dissonance
  • Paradox tolerance
  • Both/and thinking
  • Koans and paradoxes

Ethics

  • Edge of civilizational chaos
  • Social moral dynamics
  • Revolutionary ethics
  • Cultural transformation points
  • Almost universal ethics
8D Φ COMPLEX SPACETIME Structure

Structure & Process

  • 4D_real + 4D_imaginary
  • Octonionic hints (8-fold structure)
  • Full complex field
  • Where exceptional structures live
  • 8 = 2³ (tripled duality)

Physics

  • Octonionic structure hints
  • 8-fold symmetry (Buddhist eightfold path?)
  • Exceptional Lie groups (G₂, F₄, E₆₇₈)
  • Division algebras: R→C→H→O
  • Bott periodicity (mod 8)

Consciousness

  • Integration / Ego + shadow unified
  • Conscious + unconscious
  • Jung's individuation
  • All parts of psyche integrated
  • Complete personality

Ethics

  • Universal moral principles
  • Cross-cultural ethics
  • Human rights level
  • β₃: HOW MUCH civilizational scope
  • Humanity as ethical unit
8.5D GENERATING Process

Structure & Process

  • Mass differentiation
  • Symmetry breaking
  • Generation threshold
  • Where masses separate
  • Yukawa couplings emerge

Physics

  • Mass hierarchy mechanism
  • Pre-generation structure
  • Yukawa couplings
  • Why e ≠ μ ≠ τ masses?
  • Golden ratio in mass ratios:

Consciousness

  • Developmental stages
  • Life transitions
  • Metamorphosis
  • Stages of growth
  • Erikson's life stages

Ethics

  • Planetary ethical aperture
  • ε₄: WHETHER planetary ethics
  • Earth-system moral consideration
  • Biosphere-level ethics begins
  • Ecological moral consciousness
9D TRIPLE TRINITY → ⊙₃ LOCKS Structure

Structure & Process

  • 3 × (• ⊗ Φ ⊗ ○)
  • WHY exactly 3 generations (derived!)
  • Temporal wholeness (past/present/future)
  • √r kernel + refractory period → 3 bound states
  • Minimum for braided history

Physics

  • Three particle generations (derived)
  • e, μ, τ families (leptons)
  • u/d, c/s, t/b (quark generations)
  • Why 3? B₃ minimum + kernel geometry
  • τ/μ = 10 + φ⁴ - 1/30 (0.02% error)

Consciousness

  • Temporal self / Life stages
  • Past/present/future integrated
  • Child/adult/elder unified
  • Brahma/Vishnu/Shiva (create/preserve/destroy)
  • Three gunas (rajas/sattva/tamas)

Ethics

  • Gaia-level moral field
  • All life as ethical community
  • χ₄: WHAT KIND of planetary harmony
  • Ecological ethical orientation
  • Stewardship of Earth

Tier 4 — Cosmic Closure

9.5D COSMIC APERTURE Process

Structure & Process

  • ⊙₃ as aperture (3-generation whole rotates)
  • All temporal selves as single point
  • Brane threshold
  • Pre-string aperture
  • Entire generational structure becomes center

Physics

  • ⊙₃ as aperture / Brane threshold
  • Pre-string theory regime
  • All 3 generations as one aperture
  • Where strings emerge from
  • D-brane attachment point

Consciousness

  • Generation-whole rotates
  • All temporal selves unified
  • Cosmic memory
  • Akashic records?
  • Complete soul-history as point

Ethics

  • Edge of cosmic ethics
  • Universal moral dynamics
  • Near-transcendent ethics
  • Almost divine perspective
  • Approaching ∞D ethical ground
10D VIBRATION SPACE Structure

Structure & Process

  • Superstring dimension
  • All particles as vibrational modes
  • Resonance structure
  • Anomaly cancellation requires 10D
  • The "music" of matter

Physics

  • Superstring theory critical dimension
  • All particles = string vibration modes
  • Anomaly cancellation at D=10
  • Type IIA, IIB, Heterotic strings
  • 10 = 4 + 6 (spacetime + compactified)

Consciousness

  • Cosmic harmony / Universal music
  • All as resonance
  • Pythagorean music of spheres
  • Everything is vibration
  • Om / Logos / Word

Ethics

  • Universe-level moral field
  • β₄: HOW MUCH cosmic scope
  • Complete finite ethics
  • All scales integrated
  • Ethics approaches transcendence
10.5D MEMBRANE FORMING Process

Structure & Process

  • Brane emergence
  • String endpoints define boundaries
  • Boundary crystallization
  • Open ↔ closed string duality
  • Where branes nucleate

Physics

  • D-brane dynamics
  • String endpoints on branes
  • Open/closed string duality
  • Brane worlds (our universe as brane)
  • T-duality, S-duality origins

Consciousness

  • Self/not-self cosmic edge
  • Ultimate membrane
  • Cosmic boundary forming
  • Where "universe" gets edge
  • Multiverse interface
11D Φ Field — Meta² Medium Structure

Structure & Process

  • 6D_real ⊗ 6D_imaginary = 12D field
  • Living medium at meta² scale
  • Form recognizes itself as Field
  • Where cosmic coupling happens
  • Relational space of all possibilities

Physics

  • F-theory (12D) field structure
  • Full unification medium
  • All forces, all particles
  • Complete gauge group
  • Theory of everything geometry

Consciousness

  • Witness awareness / Pure seeing
  • Observer of all
  • Turiya (4th state beyond waking/dream/sleep)
  • Sakshi (witness consciousness)
  • Seeing without seer

Ethics

  • Φ = RIGHT/WRONG at cosmic scale
  • Ethics as spacetime itself
  • How cosmic influence propagates
  • The pathway of universal ethics
  • Field carries cosmic relationship
11.5D DUALITIES RESOLVING Process

Structure & Process

  • Strong ↔ weak equivalence
  • All dualities collapse
  • Approaching final unity
  • Last process before closure
  • Mirror symmetry (manifolds)

Physics

  • S/T/U dualities unifying
  • Strong ↔ weak (S-duality)
  • Large ↔ small (T-duality)
  • Mirror symmetry of Calabi-Yau
  • Duality web converging

Consciousness

  • Nondual glimpses
  • Subject/object dissolving
  • Approaching source
  • Samadhi (absorption)
  • Unity experience
12D Boundary — ⊙₄ LOCKS (Cosmic Closure) Structure

Structure & Process

  • Fourth complete circumpunct ⊙₄ locks
  • COMPLETE ARCHITECTURE
  • Membrane enclosing all lower branes
  • Closure of cosmic structure
  • 12 = ∞ → (3 × 4) tiers

Physics

  • M-theory boundary / Supergravity
  • All 5 string theories unified
  • 11D supergravity low-energy limit
  • M2-branes, M5-branes
  • Maximum SUSY dimension

Consciousness

  • Cosmic consciousness / Full embodiment
  • ⊙ knows itself AS λΦ∞
  • "I am whole through being part"
  • Moksha, Nirvana, Theosis
  • Top meets bottom (12D = ∞D)

Ethics

  • ○ = GOOD/BAD at cosmic scale
  • Ethics returns to ground
  • Complete ⊙ = fix(F)
  • The Golden Rule as fixed point
  • "Do unto others..." IS the cosmic law

Information Types

The trinity (•, Φ, ○) maps directly to three irreducible information types. This isn't analogy — it's geometric necessity.

• Binary

The gate. Existence or non-existence. Is there signal or not? This is logically prior — you can't have amplitude without first having existence of signal.

Values: {0, 1} Question: Is it there? Operation: Threshold decision

Φ Analog

The field. Continuous spectrum of amplitude and phase. How much? What kind? Analog rides on binary — it's conditional on ε = 1.

Values: ℂ (continuous) Question: What kind? How much? Operation: Amplitude & phase

○ Fractal

The boundary. Binary gates carrying analog content, recursively nested. The surface at one scale IS the complete circumpunct at the scale below.

Values: Binary × Analog nested Question: Same pattern at next scale? Operation: Scale-bridging

Priority Structure

These types have logical priority. Input/Output is fundamental — prior to all information types.

ε (existence) → χ (kind) → β (amount) ⊛ (input) → i (transform) → ☀︎ (output) Flow is prior. Content type is structural. 64 states are specific.

The 64 States

The states are binary (which exists). The amplitudes are analog (how much). The transitions are fractal (braiding).

3 circumpuncts × 2 channels = 6 bits 2⁶ = 64 binary states ℂ⁶⁴ analog amplitudes

Fractal = Binary ⊗ Analog

The boundary at scale n contains (• × Φ) which itself contains ○ at scale n-1... ad infinitum. This is why D ≈ 1.5 appears universally.

○ₙ contains (•, Φ, ○)ₙ₋₁ Skin → cells → molecules → atoms Each level: same pattern

Across All Domains

The same mapping appears everywhere — not by analogy but by structural necessity.

Physics: particle / field / surface Consciousness: attention / thought / body Ethics: True / Right / Good Epistemology: ε / χ / β

Key Insights

Core Equations

The fundamental structure of reality expressed mathematically.

⊙ = • ⊗ Φ ⊗ ○ Φ' = ☀︎ ∘ i ∘ ⊛[Φ] ○ₙ₊₁ ∋ •ₙ where •ₙ ∈ ⊙ₙ

Golden Ratio φ

The self-similar fixed point. β² + β - 1 = 0 gives the unique aperture that reproduces itself at all scales.

β = 1/φ ≈ 0.618 Z = φ (impedance matched)

Fine Structure Constant

Derived from golden aperture geometry, not fitted. 10 channels, S₄ mixing, φ⁵ impedance.

α⁻¹ = (10 - 1/(24φ⁵)) × exp(φ²) = 137.0359504 (0.36 ppm)

Lepton Mass Ratios

Parameter-free predictions from geometry: 8 (gluons) × π² (topology) × φ² (braid).

m_μ/m_e = 8π²φ² + φ⁻⁶ (0.0004%) m_τ/m_μ = 10 + φ⁴ - 1/30 (0.02%)

Fractal Dimension D = 1.5

Topologically protected via Hopf fibration. The universal signature of balanced aperture dynamics.

D = D_base + |c₁|/2 = 1 + 0.5 = 1.5 LIGO: D = 1.503 ± 0.040 ✓

64 → Standard Model

Complete bijection from dual trinity geometry to all known particles.

64 = 2³ × 2³ = 48 + 12 + 4 Fermions + Gauge + Higgs

Information Types

The trinity maps to three irreducible signal modes. Binary is prior — analog rides on it — fractal nests both.

• = Binary ({0,1}) — Is it there? Φ = Analog (ℂ) — What kind? How much? ○ = Fractal (Binary⊗Analog) — Nested

Branching Symbols

Runes encode direction of flow at fractal process dimensions.

ᛉ (Algiz) = Outward — emergence, growth ᛦ (Yr) = Inward — convergence, reception 1.5D, 4.5D... ᛉ | 2.5D, 5.5D... ᛦ

Three Consciousness Channels

Every moment of experience has all three. Remove any one and experience collapses.

ε: WHETHER (focus/attention) χ: WHAT KIND (qualia/flavour) β: HOW MUCH (intensity)

Time Direction

We don't move into the future. The future (infinite field) flows INTO us through the aperture.

Future → Past (∞D → •) Aperture = temporal singularity

Hard Problem Dissolved

Experience doesn't need to be added. It IS the inside of what physics describes from outside.

Outside × i = Inside Physics × i = Experience

⊙ IS Interface

The circumpunct doesn't have an interface—it IS interface. Three interfaces woven together.

• interfaces deeper-center ↔ your-field Φ interfaces your-soul ↔ your-body ○ interfaces your-mind ↔ greater-field

Nesting = Connection

No separate bridge needed. You are inside a greater ⊙, therefore you are connected. The nesting itself IS the relationship.

...⊙ ⊃ ⊙ ⊃ ⊙ ⊃ ⊙... No top. No bottom. Infinite nesting.

Transmission Law

Alignment between part and whole determines how much flows through. Perfect alignment = complete transmission.

T(Δφ) = cos²(Δφ/2) Δφ = 0 → T = 1 (unity) Δφ = π → T = 0 (separation)