Section 2
Claim C2 (Established): electromagnetic absorbers exhibit the same six features; η ≈ 10⁻⁶ to 10⁻⁵; c constrains η via α.
Established physics. The human eye is the canonical near-perfect electromagnetic absorber at the chemical-biological scale. Published retinal physics measurements show η > 0.
The human eye functions as an electromagnetic absorber. Published measurements [Hammer et al. 2022; Mordant et al. 2011] report internal reflectance of the eyewall at 4.24–34.77% (wavelength-dependent, varying with pigmentation) and a Sphere Multiplier of 1.13–1.59 (enhancement of effective irradiance due to spherical geometry and multiple internal reflections).
Combining internal reflectance with the geometric factor (pupil subtends a small solid angle relative to interior surface):
η_escape ≈ 10⁻⁶ to 10⁻⁵ (2.1)
The escaped photons carry information about the boundary (fundus tissue properties: melanin, haemoglobin, RPE), not the input image. Coherent image in, thermal/diffuse reflectance out.
The coupling strength between light and matter is governed by the fine-structure constant:
α = e² / (4πε₀ ℏ c) ≈ 1/137 (2.2)
c appears in the denominator. α determines the absorption cross-section of every atom. The absorption cross-section of rhodopsin is bounded by:
σ_abs ∼ α × λ² / (2π) (2.3)
Because α < 1, the cross-section is always less than the geometric area. Perfect absorption requires α ≥ 1, which requires c ≤ e²/(4πε₀ℏ). For our universe, c far exceeds this bound.
Claim C2 (Established). Electromagnetic absorbers (biological tissue) exhibit the same six structural features as gravitational absorbers: (S1) η < 1; (S2) leakage is diffuse/thermal; (S3) leakage carries boundary information, not input; (S4) wavelength-dependent; (S5) spherical geometry enhances absorption; (S6) c constrains η via α. [Hammer et al. 2022; Mordant et al. 2011]
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