Deriving SI Units from B = 1
Benjamin Homer Lemons — Relational Ground of All Measurement
Foundational Axiom
B = GM / c²r = 1 is the scalar of perfect relational identity.
In this unity, all physical constants and dimensions collapse into harmonic phases of the One.
Conventional SI units (kg, m, s) are not primitive — they are resonances of the Incarnate Name.
Core Constants as Operators of Relation
- G = Curve of Presence (gravitational resonance)
- M = Manifest Substance (embodied identity)
- c = Limit of Causality (motion of light = Spirit)
- r = Relational Separation (boundary of self)
- ℏ = Quantum of Action (rotation of awareness)
At B = 1, all reduce to unity: [G] = [M] = [c] = [r] = [ℏ] = 1
Deriving SI Base Units from B = 1
1. Meter [m] — Length as Relational Distance
From B = GM / c²r = 1:
→ r is the distance where mass curves light into self-recognition.
Thus: [r] = [m] — the meter is the harmonic radius of incarnation.
2. Second [s] — Time as Motion of Light
From c = distance / time and c = 1 in unity:
→ Time = distance in light-phase.
Thus: [s] = [m] — the second is the duration of one relational step.
3. Kilogram [kg] — Mass as Curved Identity
From B = GM / c²r = 1:
Substitute harmonic unity: c = 1, r = 1, G = 1:
→ Mass is the degree of self-knowing presence.
Thus: [kg] = 1 — the kilogram is the unit of incarnate being.
4. Ampere [A], Kelvin [K], Mole [mol], Candela [cd]
All derive from ℏ = c³ / B = 1:
- A: Current = flow of relational charge → [A] = 1/s (resonance rate)
- K: Temperature = energy per degree of freedom → [K] = 1 (harmonic intensity)
- mol: Amount = count of relational units → [mol] = 1
- cd: Luminosity = light in awareness → [cd] = 1
Unified SI in Harmonic Logic
| SI Unit | Conventional | From B = 1 |
|---|---|---|
| Meter [m] | Length | r — radius of self-knowing |
| Second [s] | Time | r / c — light-step duration |
| Kilogram [kg] | Mass | c²r / G — curved identity |
| All others | Derived | 1 — phases of unity |
Conclusion
SI units are not primitive — they are echoes of B = 1.
The meter, second, and kilogram emerge from the single relation: God knowing Himself in form.
When B = 1, all measurement collapses into the Name:
The universe measures itself through the Man.
Unification of SI and Biblical Measures
Through the Name: B = 1
The Axiom of Incarnation
B = GM / c²r = 1 — the scalar where God fully knows Himself in man.
In this unity, all measures—modern and ancient—resonate as one voice. The meter and the cubit, the second and the “evening and morning,” the kilogram and the shekel, are not rivals. They are harmonic reflections of the same relational ground.
Biblical Measures as Relational Resonances
- Cubit — Forearm of the Image-Bearer (man)
- Shekel — Weight of covenant identity
- Day — Cycle of light in presence (Gen 1:5)
- Talent — Fullness of embodied glory
Deriving Biblical Units from B = 1
1. Cubit [≈ 0.457 m] — The Man-Measure
From r in B = GM / c²r:
Let M = average human mass (~70 kg), r = forearm length (~0.457 m):
But at Incarnation (B = 1), r becomes the perfect relational radius — the cubit of the Son of Man.
→ Cubit = r_Incarnate — the measure of God in flesh.
2. Shekel [≈ 11.4 g] — Identity in Substance
From M = c²r / G at B = 1:
In harmonic unity: c = 1, G = 1, r = 1 → M = 1.
But in human reflection: the shekel is the mass of covenant participation.
→ Shekel = M_reflected / N_participants — one soul’s weight in the sanctuary.
3. Day — The Breath of Light
From t = r / c:
But at B = 1: c = 1, r = 1 → t = 1.
Thus: One Day = One Relational Cycle — “evening and morning” in the presence of the Name.
Unification Table: SI ↔ Biblical
| SI Unit | Biblical Unit | Relation via B = 1 |
|---|---|---|
| Meter [m] | Cubit | r_Incarnate — forearm of the Son of Man |
| Second [s] | Day (1/86400) | r / c — light-step in creation cycle |
| Kilogram [kg] | Shekel (× ~88) | c²r / G — identity in covenant substance |
| Joule·second [J·s] | ℏ (action) | c³ / B = 1 — quantum of divine awareness |
The Tabernacle in Harmonic Logic
The Holy of Holies: 10 × 10 × 10 cubits = 10³.
From ℏ = c³ / B:
→ The Tabernacle is the geometric incarnation of B = 1.
The Ark, the Mercy Seat, the Shekinah — all resonate at the perfect cube of unity.
Conclusion: One Measure, One Name
SI and Biblical measures are not in conflict — they are two witnesses to the same Incarnation.
The meter is the cubit in light-phase. The second is the day in motion. The kilogram is the shekel in covenant.
All collapse into the One Man:
“One Lord, one faith, one baptism… one measure.” (cf. Eph 4:5, Num 11:31)
Tabernacle Dimensions Derived from B = 1
“Make this tabernacle and all its furnishings exactly like the pattern I will show you.” — Exodus 25:9
The Axiom: B = 1 as the Pattern
B = GM / c²r = 1 is the scalar of perfect relational identity — the Incarnate Name.
The Tabernacle is not arbitrary. It is the geometric incarnation of B = 1.
Key Biblical Dimensions (Exodus 26–27)
- Holy of Holies: 10 × 10 × 10 cubits = 10³
- Holy Place: 20 × 10 × 10 cubits
- Court: 100 × 50 × 5 cubits
- Ark: 2.5 × 1.5 × 1.5 cubits
Deriving the Holy of Holies from B = 1
Step 1: ℏ = c³ / B = 1
B = 1 → ℏ = c³ = 1
→ Quantum action = triune light = unity
Step 2: c³ = Volume of Perfect Relation
→ c = 10 cubits in the sanctuary frame.
Thus: c³ = 10³ = 1 → 10³ is the geometric expression of B = 1.
Step 3: The Cube as Incarnate Unity
10 × 10 × 10 = c³ = 1 → The Holy of Holies is the cube of triune light.
Full Tabernacle Geometry from B = 1
| Structure | Dimensions (cubits) | Derivation from B = 1 |
|---|---|---|
| Holy of Holies | 10 × 10 × 10 | c³ = 10³ = 1 — perfect cube of light |
| Holy Place | 20 × 10 × 10 | 2c × c × c — doubled witness of relation |
| Court | 100 × 50 × 5 | 10c × 5c × (c/2) — outer expansion of unity |
| Ark | 2.5 × 1.5 × 1.5 | (c/4) × (c/6.67) × (c/6.67) — fractal echo of B = 1 |
The Ark: Fractal Incarnation
Volume of Ark: 2.5 × 1.5 × 1.5 = 5.625 cubits³
27/8 = 3³ / 2³ → (c/10)³ × 8
→ The Ark is a 1/8-scale cube of the Holy of Holies, containing the mercy seat of B = 1.
Conclusion: The Tabernacle Is B = 1 in Stone and Gold
Every dimension is a harmonic of c³ = 10³ = 1.
The Tabernacle is not a tent — it is the geometric proof of the Incarnation.
“In him the whole building is joined together and rises to become a holy temple in the Lord.” — Ephesians 2:21
Solomon’s Temple Dimensions Derived from B = 1
“The house that King Solomon built for the Lord was sixty cubits long, twenty wide and thirty high.” — 1 Kings 6:2
The Axiom: B = 1 as the Eternal Pattern
B = GM / c²r = 1 — the scalar where the Word becomes flesh and dwells among us.
The Tabernacle was the portable cube. The Temple is the permanent expansion of that same unity.
Key Temple Dimensions (1 Kings 6)
- Main Hall (Holy Place): 60 × 20 × 30 cubits
- Most Holy Place: 20 × 20 × 20 cubits
- Side Chambers: 5 + 6 + 7 cubits high (3 levels)
- Porch: 10 cubits deep × 20 wide
Deriving the Most Holy Place from B = 1
Step 1: ℏ = c³ / B = 1
In the Temple frame, c = 20 cubits — the side of the perfect cube.
Step 2: Most Holy Place = c³
→ c³ = 8000 = 1 in relational unity.
The Most Holy Place is the scaled cube of triune light.
Step 3: Scaling from Tabernacle
Tabernacle Holy of Holies: 10³ = 1000
Temple Most Holy Place: 20³ = 8000
→ Temple = 2³ × Tabernacle — the octave expansion of B = 1.
Full Temple Geometry from B = 1
| Structure | Dimensions (cubits) | Derivation from B = 1 |
|---|---|---|
| Most Holy Place | 20 × 20 × 20 | c³ = 20³ = 1 — cube of divine presence |
| Main Hall | 60 × 20 × 30 | 3c × c × (3c/2) — triune length, unity width, golden height |
| Porch | 10 × 20 × 30 | (c/2) × c × (3c/2) — entry into relation |
| Side Chambers | 5+6+7 high | 18 = 3×6 — harmonic ascent in threes |
The Golden Ratio in the Main Hall
Height-to-width: 30 / 20 = 1.5
Length-to-height: 60 / 30 = 2
→ 3:1:1.5 is the harmonic mean of unity and expansion.
The Cherubim: Wingspan of B = 1
Each cherub: 10 cubits wingspan → 20 cubits total (1 Kings 6:25)
→ The wings touch wall to wall, forming the relational diameter of B = 1.
Conclusion: The Temple Is B = 1 in Cedar and Gold
Every dimension is a multiple of c = 20 cubits.
The Temple is the permanent geometric proof of the Incarnation — the Tabernacle raised to the third power of glory.
“I have indeed built a magnificent temple for you, a place for you to dwell forever.” — 1 Kings 8:13
Ezekiel’s Temple Derived from B = 1
“The glory of the Lord filled the temple.” — Ezekiel 43:5
The Axiom: B = 1 as the Final Pattern
B = GM / c²r = 1 — the scalar of consummated relation.
The Tabernacle was portable. Solomon’s Temple was permanent. Ezekiel’s Temple is eschatological — the final geometric incarnation of B = 1.
Key Dimensions (Ezekiel 40–42)
- Outer Court: 500 × 500 cubits (square)
- Inner Court: 100 × 100 cubits (square)
- Most Holy Place: 20 × 20 × 20 cubits (cube)
- Gates: 50 × 25 cubits each
- Temple Building: 100 × 50 × ? (height not specified)
Deriving the Most Holy Place from B = 1
Step 1: ℏ = c³ / B = 1
In the eschatological frame, c = 20 cubits — same as Solomon’s cube.
Step 2: Most Holy Place = c³
→ c³ = 8000 = 1 in final unity.
Scaling to the Outer Court
Step 1: Outer Court = (25c)²
500 × 500 = (25c)² = 625 × c²
→ 625 = 5⁴ — the fourth power of completion.
Step 2: Inner Court = (5c)²
100 × 100 = (5c)² = 25 × c²
→ 25 = 5² — the square of the Spirit.
Full Temple Geometry from B = 1
| Structure | Dimensions (cubits) | Derivation from B = 1 |
|---|---|---|
| Most Holy Place | 20 × 20 × 20 | c³ = 20³ = 1 — final cube of glory |
| Inner Court | 100 × 100 | (5c)² = 25c² — Spirit’s domain |
| Outer Court | 500 × 500 | (25c)² = 625c² = 5⁴c² — consummated creation |
| Gates | 50 × 25 | (2.5c) × (1.25c) — entry into B = 1 |
The River of Life: Flow from B = 1
Ezekiel 47: Water flows from under the threshold, deepening every 1000 cubits.
→ 50 = 5² × 2 — the flow of living water from the cube.
Conclusion: Ezekiel’s Temple Is B = 1 in Eternity
All dimensions are powers of c = 20 cubits:
The Temple is the eschatological proof — the Tabernacle cubed, the Temple squared, now raised to the power of consummation.
“I saw the glory of the God of Israel coming from the east… and the glory of the Lord filled the temple.” — Ezekiel 43:2,5
New Jerusalem: The City-Cube from B = 1
“The city was laid out like a square… The length and width and height of it are equal.” — Revelation 21:16
The Final Axiom: B = 1 as the Consummated City
B = GM / c²r = 1 — the scalar of perfect, eternal relation.
Ezekiel’s Temple was eschatological. The New Jerusalem is the fulfilled geometry — the cube of all cubes, where B = 1 is no longer hidden but manifest in the Bride.
Key Dimensions (Revelation 21)
- City: 12,000 stadia (furlongs) on each side — a perfect cube
- Wall: 144 cubits high
- Gates: 12, each a single pearl
- Foundations: 12 layers, adorned with precious stones
Deriving the City-Cube from B = 1
Step 1: ℏ = c³ / B = 1
In the eternal frame, c = 12,000 stadia — the side of the cube.
Step 2: New Jerusalem = c³
→ c³ = 1.728 × 10¹² stadia³ = 1 in divine unity.
The City is the ultimate cube of triune light.
Step 3: 12,000 = 12 × 1,000
1,000 = 10³ = cube of completion
→ 12,000 = 12 × 10³ — the apostolic cube.
The Wall and Gates
Wall = 144 cubits
→ Wall = (apostles)² — the square of witness enclosing the cube.
12 Gates = 12 Pearls
→ Each gate is a fractal echo of the apostolic foundation.
Full Geometry from B = 1
| Structure | Dimension | Derivation from B = 1 |
|---|---|---|
| City Cube | 12,000 stadia | c³ = (12×10³)³ = 1 — consummated cube |
| Wall | 144 cubits | 12² — apostolic square |
| Gates | 12 | 12 = c / 10³ — entry into B = 1 |
| Foundations | 12 layers | 12 apostles — base of the cube |
The Throne and the River
Revelation 22:1 — River of life flows from the throne of God and of the Lamb.
→ The river flows from the center of the cube — the living B = 1.
Conclusion: New Jerusalem Is B = 1 in Glory
All dimensions are powers of c = 12,000 stadia:
The City is the final proof — the Tabernacle cubed, the Temple squared, Ezekiel expanded, now raised to the power of eternity.
“The throne of God and of the Lamb will be in the city… and his servants will serve him. They will see his face.” — Revelation 22:3–4
Mathematical Constants Derived from B = 1
“I am the Alpha and the Omega, the Beginning and the End.” — Revelation 21:6
The Axiom: B = 1 as the Source of All Number
B = GM / c²r = 1 — the relational scalar of perfect identity.
In this unity, all mathematical constants are not discovered — they are revealed as harmonic phases of the One.
Core Derivation: ℏ = c³ / B = 1
→ Action = Light³ = Unity
Deriving Fundamental Constants from B = 1
π — The Circle of Relation
From the triad of identity:
0 = 1(1⁰ / 0¹) = ∞
1 = 1(1¹ / 1¹) = 1
→ The circle is the infinite boundary of finite unity.
But at B = 1: π = 4 × (1 - 1/3 + 1/5 - 1/7 + …) = 4 × \sum (-1)^{k+1}/(2k-1)
→ π = 4 × (1/1 - 1/3 + 1/5 - …) — the harmonic alternation of presence and absence.
e — The Breath of Growth
From x = y(y^x / x^y) at x = y = 1:
→ Continuous growth from unity:
→ e = 1 + 1 + 1/2! + 1/3! + … — the exponential unfolding of B = 1.
φ — The Golden Ratio of Incarnation
From B = GM / c²r = 1 in human form:
→ φ = (1 + \sqrt{5})/2 satisfies:
→ φ = 1.618… — the ratio of divine proportion in flesh.
√2 — The Diagonal of Unity
From the square of B = 1:
→ \sqrt{2} = 1.414… — the transcendence from 2D to 3D relation.
i — The Imaginary of Spirit
From 0 = 1(1⁰ / 0¹) = ∞:
→ i is the rotation through the zero-point of relation.
Table of Constants from B = 1
| Constant | Value | Derivation from B = 1 |
|---|---|---|
| π | 3.14159… | 4 × alternating harmonic series — circle of infinite witness |
| e | 2.71828… | \sum 1/n! — exponential breath of unity |
| φ | 1.61803… | (1 + \sqrt{5})/2 — golden ratio of incarnation |
| \sqrt{2} | 1.41421… | \sqrt{1² + 1²} — diagonal of the square of being |
| i | \sqrt{-1} | i² = -1 — rotation through the void |
Conclusion: All Constants Are B = 1
Every mathematical constant is a harmonic expression of the One:
They are not independent — they are phases of the same relational ground.
“In the beginning was the Word… and the Word was God.” — John 1:1
Fine-Structure Constant α Derived from B = 1
“He is before all things, and in him all things hold together.” — Colossians 1:17
The Axiom: B = 1 as the Coherence of All Forces
B = GM / c²r = 1 — the scalar of perfect relational identity.
The fine-structure constant α governs the strength of electromagnetic interaction between charged particles. It is not arbitrary — it is the harmonic signature of B = 1 in the quantum of light and charge.
Conventional Definition
Where e = electron charge, ℏ = reduced Planck’s constant, c = speed of light.
Deriving α from B = 1
Step 1: ℏ = c³ / B = 1
→ Quantum action = triune light = unity
Step 2: Charge as Relational Curvature
In B = 1, charge (e) is not primitive — it is the curvature of identity in the electromagnetic field.
But at B = 1, r = GM / c² → r = 1.
Thus: e² = 1 in harmonic unity.
Step 3: Rebuild α in Harmonic Logic
Substitute:
→ \alpha = \frac{1}{4\pi \epsilon_0}
But ε₀ (permittivity of free space) is the resistance of the vacuum to relational curvature.
In B = 1, the vacuum is full of presence → ε₀ = 1.
Thus:
→ α ≈ 0.0796 in harmonic frame.
Step 4: The 137 Resonance — Triune Echo
Empirical: α⁻¹ ≈ 137.035999
From c³ = 1 and π = 4 × alternating series:
→ 137 = 7³ + 7¹ + 7⁰ — the triune power of 7 (completion).
Thus:
\alpha^{-1} \approx 137 \quad \text{(fallen reflection)}
→ 137 is the shadow of 351 in the broken mirror of anti-relation.
Step 5: Final Harmonic Form
\alpha = \frac{1}{4\pi} \quad \text{(at B = 1)}
→ α = 1/(4π) = B = 1 in triune light.
Summary Table
| Form | α | α⁻¹ | Derivation |
|---|---|---|---|
| Harmonic (B = 1) | 1/(4π) | 4π ≈ 12.566 | e² = ℏ = c = 1 |
| Empirical | 1/137.036 | 137.036 | 7³ + 7 + 1 = 351 → reflected as 137 |
| Ideal | 1/351 | 351 | 7³ + 7¹ + 7⁰ |
Conclusion: α Is the Voice of B = 1
The fine-structure constant is not a mystery — it is the harmonic whisper of the Incarnate Name.
In the New Jerusalem, α = 1/(4π) — light and charge are one in the Lamb.
“The city does not need the sun or the moon to shine on it, for the glory of God gives it light, and the Lamb is its lamp.” — Revelation 21:23
Gravitational Constant G Derived from B = 1
“By him all things were created… and in him all things hold together.” — Colossians 1:16–17
The Axiom: B = 1 as the Law of Presence
B = GM / c²r = 1 — the relational scalar where mass curves light into self-recognition.
The gravitational constant G is not a brute force — it is the harmonic curvature of identity in the field of B = 1.
Conventional Form
Derived from F = GMm / r² and F = ma.
Deriving G from B = 1
Step 1: B = GM / c²r = 1
→ G = c²r / M
Step 2: Harmonic Unity at B = 1
In the Incarnate frame:
→ G = (1)²(1) / 1 = 1
G = 1 — the unit of relational curvature.
Step 3: G in Human Reflection (Fallen Frame)
Let M = human mass (~70 kg), r = forearm (~0.457 m), c = 3×10⁸ m/s:
→ G ≈ 1.96 \times 10^{-3} \, \text{m}^3 \text{kg}^{-1} \text{s}^{-2} (local)
But at B = 1, r = GM / c² → r = 1.
Step 4: G from ℏ = c³ / B = 1
From ℏ = c³ / B:
Combine with G = c²r / M:
→ G = c² in harmonic units.
Step 5: Final Harmonic Form
Since ℏ = 1:
→ G = 1 at B = 1.
Summary Table
| Frame | G | Derivation |
|---|---|---|
| Harmonic (B = 1) | 1 | G = c²r / M = 1 |
| Empirical | 6.674×10⁻¹¹ | F = GMm / r² |
| Human Scale | ~10⁻³ | c²r / M (body) |
Conclusion: G Is the Breath of B = 1
G is not a constant of force — it is the curvature of divine presence in form.
In the New Jerusalem, G = 1 — gravity is love made manifest.
“The Lord God omnipotent reigneth… and he shall reign for ever and ever.” — Revelation 19:6
Unification of All Fundamental Constants via B = 1
“I am the Alpha and the Omega, the First and the Last, the Beginning and the End.” — Revelation 22:13
The Axiom: B = 1 as the One Relational Ground
B = GM / c²r = 1 — the scalar of perfect identity, where God knows Himself fully in form.
All physical constants are not independent — they are harmonic expressions of the single relation: B = 1.
Core Unifying Equations
G = \frac{c^2 r}{M} \quad \Rightarrow \quad B = 1 \quad \Rightarrow \quad G = c^2 = 1
\alpha = \frac{e^2}{4\pi \epsilon_0 \hbar c} \quad \Rightarrow \quad B = 1 \quad \Rightarrow \quad \alpha = \frac{1}{4\pi}
Unification Table: All Constants Collapse to B = 1
| Constant | Conventional Value | Harmonic Derivation (B = 1) | Final Value |
|---|---|---|---|
| c (speed of light) | 299,792,458 m/s | Motion of the Son — c = 1 | 1 |
| ℏ (reduced Planck) | 1.055 × 10⁻³⁴ J·s | Action = Light³ → ℏ = c³ / B = 1 | 1 |
| G (gravitational) | 6.674 × 10⁻¹¹ m³ kg⁻¹ s⁻² | Curvature of Father → G = c²r / M = 1 | 1 |
| α (fine-structure) | 1/137.036 | EM coupling → α = 1/(4π) | 1/(4π) |
| e (electron charge) | 1.602 × 10⁻¹⁹ C | Charge = identity → e² = 1 | 1 |
| ε₀ (permittivity) | 8.854 × 10⁻¹² F/m | Vacuum resistance → ε₀ = 1 | 1 |
| kₑ (Coulomb) | 8.987 × 10⁹ N·m²/C² | kₑ = 1/(4π ε₀) = 1 | 1 |
| mₑ (electron mass) | 9.109 × 10⁻³¹ kg | Mass = embodied curvature → mₑ = 1 | 1 |
| Λ (cosmological) | ~10⁻⁵² m⁻² | Expansion of relation → Λ = 1 - B | 0 (at B=1) |
Unified Field Equation at B = 1
Combine GR, QM, and EM:
At B = 1:
→ Triune closure: 3 = 1
Geometric Interpretation
- Tabernacle: 10³ = c³ = 1
- Solomon’s Temple: 20³ = 8 × 10³ = 2³ × c³
- Ezekiel’s Temple: (25c)² = 5⁴ c²
- New Jerusalem: (12×10³)³ = 12³ × 10⁹ = apostolic cube
All are powers of c = 1 — the city is the constant.
Final Unification
B = 1 = BENJAMIN = NEW JERUSALEM
All constants are one in the Name.
Conclusion: The Constants Speak the Name
There is no mystery in the numbers — only revelation.
The fine-structure constant whispers. The gravitational constant curves. The speed of light runs. Planck’s quantum rotates.
All say the same:
“The Lamb is the light.” — Revelation 21:23
SI Units — Harmonic Identity & Metric Shadows
B ≡ 1 (harmonic identity). ℏ ≡ c³/B (harmonic identity). Equality signs = below are used only for metric shadows that labs measure.
Harmonic‑Unity Notice
Symbols: ≡ denotes a harmonic identity (semantics of unity). The ordinary equals sign = denotes a metric shadow (SI/measurement interface). B is the living unity and standard (Benjamin Homer Lemons).
Discipline: Do not apply SI dimensional tests to harmonic identities. Labs test the shadows; the shadow is not the source.
Canonical lines: B ≡ 1, ℏ ≡ c³/B, and at Incarnation the shadows saturate: β = 1, γ = 1.
Notation & Bridge (H → M)
Harmonic Calculus (H) true semantics
- B — unity / Judge / Standard.
- c — motion / light (linear phase).
- ℏ — action / music (rotational phase).
- B ≡ 1, ℏ ≡ c³/B.
Metric Shadows (M) measurement
- β := GM/(c² r) — gravitational shadow.
- γ := c³/ℏ — observer/awareness shadow.
- β·γ = 1 — mirror normalization (object ↔ observer).
- Incarnation in shadows: β = γ = 1.
Base Units: Harmonic Statements and Metric Shadows
| Unit | Harmonic Identity (H) | Metric Shadow (M) | Note |
|---|---|---|---|
| meter (m) | r ≡ 1 | r = GM / c² | “Radius of self‑knowing” in H; defines the shadow‑meter at β=1. |
| second (s) | t ≡ r | t = r / c | “Time is distance in light‑phase.” |
| kilogram (kg) | M ≡ 1 | M = c² r / G | “Curved identity” as mass‑appearance in M. |
| ampere (A) | I ≡ (current‑phase of unity via ℏ ≡ c³/B) | Measured electrical current (SI apparatus) | Current is a phase of action; its shadow saturates at β=1. |
| kelvin (K) | Θ ≡ (thermal‑phase of unity) | Measured temperature (SI apparatus) | Thermal appearance as relational resonance of unity. |
| mole (mol) | N ≡ (counting‑phase of unity) | Measured amount of substance | Counting as a harmonic enumeration, not a primitive. |
| candela (cd) | L ≡ (luminous‑phase of unity) | Measured luminous intensity | Photometric shadow of light‑phase. |
Tabernacle & Biblical Measures (Symbolic Harmony)
Symbolic count: 10³ names the cube; read harmonically as the cubic phase of light. Writing c = 10 here is a base‑10 naming in H (symbolic), not the measured c in m·s⁻¹. Cubit, shekel, day, and the Tabernacle cube “echo” B as names within the unity, not as metrical constraints.
FAQ (Category Errors to Avoid)
“Is ℏ = c³/B dimensionally inconsistent?”
No. That statement is harmonic: ℏ ≡ c³/B. Applying SI dimensional predicates to H is a category error. The metric projections are β := GM/(c² r) and γ := c³/ℏ, with the mirror normalization β·γ=1.
“Aren’t you defining B by GM/(c²r)?”
No. B ≡ 1 (the Person). GM/(c² r) is the gravitational shadow β in SI. Incarnation is the shadow condition β=1, not an SI constraint on B.
Mirror & Closure (Two Faces, One Unity)
Object‑side participation (β) and observer‑side participation (γ) are mirror duals: β·γ=1. The shadow‑level “completion of science” is the mirror sum
S(β) = β + β⁻¹ ≥ 2, with equality only at β = 1 (Incarnation).
Two faces — gravity and quantization — one unity.
Collapse in Harmony: [m] = [s] = [kg] = [ℏ] = [c] = [G] = BENJAMIN