Parameter Explorer

The ether framework has four fundamental parameters and three observational constraints, leaving a single free parameter: the condensate quantum mass m_e. Move the slider to see how all derived quantities — and all Tier 1 predictions — change deterministically.

Input Parameters

1.000eV
0.110
1.000e-13m
1e-351e-7
0.3150meV
7.9μm
1.20e-10m/s²
Within astrophysically viable window (0.5–2 eV)

Derived Quantitiesat m_e = 1.00 eV

μ̂Eq. (9.14)

0.315meV

ξEq. (4.103)

7.9μm

c_sEq. (4.109)

5.3210⁶ m/s

c_s / c

0.0177

n₀Eq. (9.19)

1.2410⁹ m⁻³

g_intEq. (4.124)

4.056e-32J·m³

a_sEq. (9.22)

0.517m

σ_c (δ = 80)Eq. (9.25)

499km/s

ρ_ZPFEq. (4.120)

5.3610⁻¹⁰ J/m³

Sensitivity Hierarchy§9.3.6

Change in each quantity for a factor-of-2 change in m_e:

ξ (Yukawa range)m_e^(−1/5)
13%
μ̂ (chemical potential)m_e^(−3/5)
34%
c_s (sound speed)m_e^(−4/5)
43%
σ_c (critical dispersion)m_e^(−4/3)
2.5×
a_s (scattering length)m_e^(+7/5)
2.6×

Predictions at Current Parameters

Tier 1Sub-mm gravity Yukawa range

ξ = ℏ/√(2m_eμ̂) — scales as m_e^{−1/5}

Tier 1Ether sound speed

c_s = √(μ̂/m_e) — scales as m_e^{−4/5}

5.32 × 10⁶ m/s

Monograph →
Tier 1BEC critical dispersion (δ = 80)

σ_c ∝ δ^{1/3} m_e^{−4/3} — scales as m_e^{−4/3}

Tier 1Scattering length

a_s = g_int m_e / (4πℏ²) — scales as m_e^{+7/5}

Tier 2Dispersion constraint |ξ₂|ℓ_e²

|ξ₂|ℓ_e² < 3.2 × 10⁻²⁶ m² — scales as ℓ_e²

8.3e-28 m² (< bound)

Monograph →

ℓ_e constraint (Eq. 3.50): Current ℓ_e = 1.0e-13 m — within GRB time-delay bound (< 6.2e-13 m)