Central claims: Znidarsic-Frank
No source gap: both documents (the-control-of-natural-forces.pdf, the-flow-of-energy.pdf) have a full text layer. Equations were garbled in the text layer and were read from page images (Flow pp.2-7; Control pp.2-13). Every page of both papers has now had a deep read; the QE remediation deep reads covered Control pp.2-3, 8-15 and the Flow LENR passage. The inventor's 2019 book (research/files, not in the manifest) was read only in part (pp.49, 71 verified).
- A "transitional velocity" Vt of about 1.094e6 m/s, which Znidarsic asserts he inferred from cold fusion (LENR) and Podkletnov-type superconductor gravity experiments (as order-of-magnitude products: 50 nm x thermal frequency; 3 MHz x 1/3 m; no apparatus, date or measurement given), is the speed of sound in the atomic nucleus.
- Quantum transitions occur where the speed of light in the electron shell equals the nuclear sound speed Vt (an "impedance match"), which Znidarsic offers as a classical, causative explanation of the quantum condition.
- From Vt, Znidarsic says Planck's constant (h = Q^2/(4 eps0 Vt)), the hydrogen radii (n^2 times 0.529e-10 m), the fine-structure constant (2Vt/c), the Compton frequency and the de Broglie wavelength all follow classically. (The deep reads find these are algebraic rearrangements of Vt = alpha c/2, so h, the Bohr radius and alpha are in effect inputs. Only the nucleon-spring route, Eq. 6/Eq. 5, with rn = 1.36 fm, is an independent numerical match, to about 0.1%. The inventor's book p.71 calls 1.36 fermis the nucleon spacing and says its reciprocal is the Fermi wave number, which leaves open that 1.36 is a Fermi wave number in fm^-1 reused as a length; the source of the number is not settled.)
- The Josephson-junction scale in superconductors (about 1.33 nm) and the LENR domain share the same ~1e6 m/s transition speed, which the authors say "would seem to imply" that LENR energy releases are discrete bursts like electron-pair transitions (Znidarsic and Robertson, 2011; hedged, resting on the matching size of two frequency x length products).
- At speeds of transition at or above ~1e6 m/s new phenomena can occur, and "free" (vacuum or dark) energy can be pulled from ~1e-9 m interactions (Znidarsic and Robertson, 2011; hedged by the authors, with no energy balance given).
- Forcing a macroscopic body (trillions of atoms) into a single transitional quantum state by Bose-condensate vibration (about 1.094 MHz-metres) would induce strong gravitational and long-range nuclear forces, for propulsion, nuclear-waste reduction and new energy sources (stated in the Control paper; no experiment shown).
- LENR proceeds through the Coulomb barrier, and without commensurate radiation, because the range of the nuclear spin-orbit force (the "magnetic component of the strong nuclear force") is extended to electromagnetic range during the transitional state (Control pp.2, 11, asserted; Flow p.2, hedged as "it is suggested"). It is tied to a wider set of statements with no equations: magnetism and the dynamic force components are "not conserved" and can be amplified, so a gravitational "di-force-field" is said to no more violate energy conservation than an electrical dielectric; the 1.094 MHz-m "theorem"; zero-energy wavefunction collapse via an equalised negative gravitational potential; and an (unread) 2005 unification of quantum physics with Special Relativity.