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
0.2557meV
8.7μm
1.20e-10m/s²
Within astrophysically viable window (0.5–2 eV)

Derived Quantitiesat m_e = 1.00 eV

μ̂Eq. (9.14)

0.256meV

ξEq. (4.103)

8.7μm

c_sEq. (4.109)

4.7910⁶ m/s

c_s / c

0.0160

n₀Eq. (9.19)

1.2510⁹ m⁻³

g_intEq. (4.124)

3.284e-32J·m³

a_sEq. (9.22)

0.419m

σ_c (δ = 80)Eq. (9.25)

499km/s

ρ_ZPFEq. (4.120)

6.3710⁻¹⁰ 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}

4.79 × 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)

Beta Tools are under active development. Equations are verified against the monograph but outputs may be refined. Report an issue

The monograph is free. The theorems are public. The predictions are precise. The only thing missing is you.

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