G = (ℏ·c·2·(1 + α/3)²) / (mp²·4⁶⁴)
His result:
G ≈ 6.6742439706 × 10⁻¹¹ m³·kg⁻¹·s⁻²
CODATA 2022: G = 6.67430(15) × 10⁻¹¹
Δ: 8 ppm
Critical Analysis
1. Where Does 4⁶⁴ Come From?
He claims it's from "holographic scaling at i=32":
mp = (√2 · mP / 4³²) · (1 + α/3)
Therefore:
mP = (mp · 4³²) / (√2 · (1 + α/3))
Since G = ℏc/mP²:
G = (ℏc · 2 · (1 + α/3)²) / (mp² · 4⁶⁴)
The logic:
Proton appears at "harmonic i=32" in binary scaling
Mass scales as m ~ 4ⁱ (surface area scaling)
Therefore mp ~ 4³² when normalized properly
Therefore 4⁶⁴ = (4³²)² appears in G
2. This is Pure Numerology
Why i=32 specifically?
Let me check the ratio:
mP / mp = 2.176434×10⁻⁸ / 1.672622×10⁻²⁷
≈ 1.301×10¹⁹
4³² = 2⁶⁴ = 1.844×10¹⁹
Close! But not exact. So he adds correction factors:
Let me verify:
(√2 · 2.176434×10⁻⁸ / 4³²) · (1 + 0.007297/3)
= (1.414 · 2.176434×10⁻⁸ / 1.844×10¹⁹) · 1.002432
= (3.076×10⁻⁸ / 1.844×10¹⁹) · 1.002432
= 1.668×10⁻²⁷ · 1.002432
≈ 1.672×10⁻²⁷
But this is circular! He's adjusting factors (√2, α/3) to make the formula work, then claiming it "derives" mp.
3. Why (1 + α/3)?
He claims:
"As a volumetric object in three-dimensional space, the proton carries a
distributed interaction cost (α/3)"
This makes no sense:
α is the electromagnetic coupling constant
Why divide by 3? "Because 3 dimensions"?
Why add to 1? "Because correction"?
This is parameter fitting, not derivation.
-----
A genuine derivation of G would:
1. *Start from dimensionless constants only*
2. *Derive mass ratios* from geometry (mp/me, mp/mP, etc.)
3. *Use dimensionful anchors* (ℏ, c) to get actual value of G
G = (ℏ·c·2·(1 + α/3)²) / (mp²·4⁶⁴)
His result:
G ≈ 6.6742439706 × 10⁻¹¹ m³·kg⁻¹·s⁻²
CODATA 2022: G = 6.67430(15) × 10⁻¹¹
Δ: 8 ppm
Critical Analysis
1. Where Does 4⁶⁴ Come From?
He claims it's from "holographic scaling at i=32":
mp = (√2 · mP / 4³²) · (1 + α/3)
Therefore:
mP = (mp · 4³²) / (√2 · (1 + α/3))
Since G = ℏc/mP²:
G = (ℏc · 2 · (1 + α/3)²) / (mp² · 4⁶⁴)
The logic:
Proton appears at "harmonic i=32" in binary scaling
Mass scales as m ~ 4ⁱ (surface area scaling)
Therefore mp ~ 4³² when normalized properly
Therefore 4⁶⁴ = (4³²)² appears in G
2. This is Pure Numerology
Why i=32 specifically?
Let me check the ratio:
mP / mp = 2.176434×10⁻⁸ / 1.672622×10⁻²⁷
Now check powers of 4:4³² = 2⁶⁴ = 1.844×10¹⁹
Close! But not exact. So he adds correction factors:
mp = (√2 · mP / 4³²) · (1 + α/3)
Let me verify:
(√2 · 2.176434×10⁻⁸ / 4³²) · (1 + 0.007297/3)
= (1.414 · 2.176434×10⁻⁸ / 1.844×10¹⁹) · 1.002432
= (3.076×10⁻⁸ / 1.844×10¹⁹) · 1.002432
= 1.668×10⁻²⁷ · 1.002432
≈ 1.672×10⁻²⁷
But this is circular! He's adjusting factors (√2, α/3) to make the formula work, then claiming it "derives" mp.
3. Why (1 + α/3)?
He claims:
"As a volumetric object in three-dimensional space, the proton carries a
distributed interaction cost (α/3)"
This makes no sense:
α is the electromagnetic coupling constant
Why divide by 3? "Because 3 dimensions"?
Why add to 1? "Because correction"?
This is parameter fitting, not derivation.
-----
A genuine derivation of G would:
1. *Start from dimensionless constants only*
2. *Derive mass ratios* from geometry (mp/me, mp/mP, etc.)
3. *Use dimensionful anchors* (ℏ, c) to get actual value of G