C-0008 Verified MODERATE certainty

Under that constraint a 100 m warp bubble at light speed requires of order 10^20 galaxy masses of negative energy. Recomputing it independently from the paper's own eq. 22 and eq. 26 gives 3.47e20 galaxy masses against the 3e20 the paper states.

Standing our derivation · order of magnitude · TRL 1 Assumes the Ford-Roman quantum inequality for a free massless scalar field in four-dimensional Minkowski spacetime, applied on a scale where the region can be treated as locally flat; a single quantised free scalar field; the bound is not established for arbitrary matter content; the piecewise-linear shape function S-0007 uses, whose slope is 1/Delta across the whole wall; the sampling-time choice t_0 = alpha * 2 Delta / (sqrt(3) v_b) with alpha << 1 Stops applying matter content or field states to which the Ford-Roman inequality has not been extended, and regimes where the local-flatness approximation used to import the flat-space inequality fails Computed in compute/quantum_inequality.py, tests/test_quantum_inequality.py

What it rests on

E-0013 · S-0007 — The unphysical nature of "Warp Drive" · equation

…eglect the term involving 1-f(rho) to find Now as an example, if we let alpha = 1/10, then \Delta \leq 10^2 v_b L_{Planck} , where is the Planck length. Thus, unless v_b is extremely large, the wall thickness cannot…

EXACT · re-found in source

E-0014 · S-0007 — The unphysical nature of "Warp Drive" · equation

…ontributions to the energy come only from the bubble wall region, and we end up evaluating E &=&- {1\over 12} v_b^2 \int_{R-{\Delta\over 2}}^{R+{\Delta\over 2}} r^2 (- 1 \over \Delta )^2 dr\\ &=&- {1\over 12} v_b^2 ( {R^2 \over\Delta}+{\Delta\over 12} ). For a macroscopically useful warp drive, we want the radius of the bubble to be at least i…

EXACT · re-found in source

E-0016 · S-0007 — The unphysical nature of "Warp Drive" · equation

…alaxy has a mass of approximately the energy required for a warp bubble is on the order of E \leq - 3 \times 10^{20} M_{galaxy} v_b . This is a fantastic amount of negative energy, roughly ten orders of magnitude greater tha…

EXACT · re-found in source

Attacks run against it

X-0006 SURVIVED recomputation · by straz

Tried to break the published figure by recomputing it from the paper's own inputs rather than quoting it. Took the wall bound from eq. 22 and the energy expression from eq. 26, evaluated the integral exactly rather than in the thin-wall approximation, and compared. Got 3.47e20 galaxy masses against the stated 3e20 — a ratio of 1.157, which is inside the order of magnitude the paper quotes it at. Also checked the prefactor: eq. 26 uses -1/12, which is the constant this programme derived independently from the Hamiltonian constraint before this paper was in the corpus, and the paper never says where its own constant comes from, so the agreement is not circular. The remaining difference between the two calculations is a factor of exactly 3/2 traced to the shape function: a linear ramp carries constant maximal slope across the wall, the tanh profile does not. Verified numerically as 1.5000, so it is a property of the profiles and not an error.

Download the raw record for this claim →