The Zero Constant (Ω0) framework postulates a fundamental drift in vacuum coherence(˙Ω0 ≈5.1 ×10−19s−1) which imposes a temporal limit on quantum superpositions of macroscopic objects. By applying this model to the parameters of the MAQRO space mission (Silica nanospheres), we predict a spontaneous collapse time of Tcoll ≈408 seconds for a 150 nm radius sphere. We explicitly derive the geometric scaling factors consistent with the Penrose-Diósi limit, providing a falsiable signature for near-term space optomechanics.
The Zero Constant (Ω0) framework postulates a fundamental drift in vacuum coherence(˙Ω0 ≈5.1 ×10−19s−1) which imposes a temporal limit on quantum superpositions of macroscopic objects. By applying this model to the parameters of the MAQRO space mission (Silica nanospheres), we predict a spontaneous collapse time of Tcoll ≈408 seconds for a 150 nm radius sphere. We explicitly derive the geometric scaling factors consistent with the Penrose-Diósi limit, providing a falsiable signature for near-term space optomechanics.
This technical note derives a specific, falsifiable prediction for gravitational decoherence targeting the MAQRO Pathfinder mission parameters (1010 amu, 100 nm separation). Using a geometrically motivated scalar-tensor extension (βIR≈17.5), we predict a decoherence time of τ≈0.94 seconds. This signal represents a ∼600× enhancement over the standard Diósi-Penrose baseline (τ≈573 seconds). The derivation uses no free parameters beyond the geometric ansatz and is shown to satisfy all current laboratory fifth-force constraints.
\This technical note derives a specific, falsifiable prediction for gravitational decoherence targeting the MAQRO Pathfinder mission parameters (1010 amu, 100 nm separation). Using a geometrically motivated scalar-tensor extension (βIR≈17.5), we predict a decoherence time of τ≈0.94 seconds. This signal represents a ∼600× enhancement over the standard Diósi-Penrose baseline (τ≈573 seconds). The derivation uses no free parameters beyond the geometric ansatz and is shown to satisfy all current laboratory fifth-force constraints.
This note evaluates Diósi–Penrose gravitational self-energy decoherence for a MAQRO-like spatial superposition using a rigid homogeneous-sphere mass model. For (M=10^{10},\mathrm{amu}) and (s=100,\mathrm{nm}), the Newtonian DP timescale lies in the range (\sim 9)–(100) minutes across representative densities. A Yukawa correction (V(r)=-(Gm_1m_2/r),[1+\alpha e^{-r/\lambda}]) is incorporated by modifying the DP kernel; for (\lambda \gg {R,s}), the timescale is reduced approximately by a factor (1+\alpha). For the benchmark ((\alpha,\lambda)=(612.5,20.4,\mu\mathrm{m})), the predicted timescale is (\sim 0.9)–(9.7) seconds.
We analyze gravitational collapse models within the Diósi–Penrose framework against current experimental bounds and macroscopic classicality requirements. We show that, among the six constraints considered (three interferometry bounds from MAQRO, Vienna, and Delft, and three macroscopic classicality requirements), only the Vienna bound is active in the vicinity of the optimum: the other five are satisfied with margins of 1–13 orders of magnitude and do not constrain the cutoff radius Rc. Saturating the Vienna bound alone fixes Rc = (5.3 ± 0.1) × 10^−5 m (53 µm). We present this value not as an emergent consequence of multiple independent constraints, but as the current experimental upper bound on Rc under the Diósi model with a Gaussian cutoff—the largest cutoff radius consistent with the absence of observed collapse in the Vienna levitation experiment. This is a more modest, but equally falsifiable, claim: any future experiment probing Rc ≲ 53 µm without observing the predicted collapse signature would rule out this specific parameter choice. We give the resulting testable predictions for next-generation nano-interferometry and discuss the sensitivity of the bound to the single dominant experimental input.
The Penrose-Diósi gravitational objective reduction criterion predicts wavefunction collapse at τ_PD = ħ/E_G where E_G = Gm²/r. Entropy-Response Gravity (ERG) modifies this criterion with zero free parameters via G_eff(r,m) = G/μ(Gm/r²a₀), where μ(x) = x/√(1+x²) and a₀ = cH₀/√(4π²−1) is derived from the Bekenstein-Hawking entropy S=A/4G. The collapse time is τ_ERG = τ_PD × μ(Gm/r²a₀) ≤ τ_PD: ERG always predicts faster collapse. At the crossover r_trans = √(Gm/a₀), where μ(1) = 1/√2 exactly: τ_ERG = τ_PD/√2. For m = 10⁻¹⁴ kg: r_trans = 74.6–79.2 nm. Current levitated nanosphere experiments have achieved ~50 nm, placing them within a factor of 1.5 of the ERG crossover. The diagnostic is the shape of τ(r): standard Penrose-Diósi gives τ∝r (linear); ERG develops a kink at r_trans with subsequent r^(3/2) steepening. The kink position is predicted from H₀ alone — not fitted. This is the first modification of the Penrose-Diósi criterion with zero free parameters, and the most concrete near-term laboratory test of quantum gravity yet proposed. ERG Preprint Letter II. Full programme: Zenodo records 19077317, 19161618, 19318665, 19415023, 19424980, 19484181, 19512503, 19537805. PRL Letter I: 10.5281/zenodo.19547151.
This note evaluates Diósi–Penrose gravitational self-energy decoherence for a MAQRO-like superposition using a rigid homogeneous-sphere mass model. For (M=10^{10},\mathrm{amu}) and (s=100,\mathrm{nm}), the Newtonian DP timescale spans (\sim 9)–(100) minutes across representative densities. A Yukawa correction (V(r)=-(Gm_1m_2/r)[1+\alpha e^{-r/\lambda}]) is included by modifying the DP kernel; for (\lambda \gg {R,s}), the timescale reduces approximately by (1+\alpha). For the benchmark ((\alpha,\lambda)=(612.5,20.4,\mu\mathrm{m})), the predicted timescale is (\sim 0.9)–(9.7) seconds.