RankingsPrimerArbiterPhysicistMathematicianContrarianQESites logClaimsSourcesResearch notes

Google web search (Chrome), Investigator run 2026-10-07

Site: https://www.google.com (positive in the Q07 run; rechecked and used for leads). The queries are in sites.md "Keywords tried". The findings below are the ones not given their own site note.

Twistor theory: the mainstream descendant of Whittaker 1903 (priority 3)

Query: "Whittaker" 1903 integral formula wave equation twistor "Penrose" "Bateman" origin. [web: Google snippets and the arXiv abstract] - N. J. Hitchin, on Atiyah (Celebratio Mathematica, https://celebratio.org/Atiyah_MF/article/44/): "This formula was actually given by E. T. Whittaker in 1903 ... Penrose's hopes for twistor theory were more in General Relativity and Einstein's equations." - L. Mason, Oxford notes (https://people.maths.ox.ac.uk/lmason/Penrose1.pdf): "E.T. Whittaker [Math. Ann. 57 (1903) 333-355] in effect gave this formula for n ... He said nothing about higher n, but H. Bateman [Proc. Lond ...". Bateman, Whittaker's pupil, extended it in 1904. - arXiv 1312.4020: "... Penrose and Hitchin which dates back to Whittaker and Bateman." - A. Thompson, J. Swearngin, D. Bouwmeester, "Linked and Knotted Gravitational Radiation", J. Phys. A 47, 355205 (2014), arXiv:1402.3806 (https://arxiv.org/abs/1402.3806). They build electromagnetic and linearised gravitational radiation fields from twistor elementary states. The Google snippet: "In 1903, Whittaker used this technique to ..."; the HTML text (find tool) ties the twistor reformulation to "the Whittaker solution" (ref. 18 = Math. Ann. 57, 1903). - J. Barrett, "Chameleon Twistor Theory" (johnwbarrett.wordpress.com): "precursors of these equations were found long ago, for the Laplace equation by Whittaker [27] in 1903, and for the wave equation (in 1904) by Bateman". Bearing: Whittaker's plane-wave decomposition is now standard mathematics for gravitational waves, used to build exact (linearised) gravitational radiation fields. In that use the gravitational waves are transverse (tensor), not longitudinal, and there is no medium. That is the mainstream form of "Whittaker + gravity waves" and should sit beside the speculative longitudinal reading.

Bearden and the "standing wave" wording (priority 3)

Query: Bearden Whittaker 1903 "longitudinal" gravity "scalar potential" "standing waves". [web: Google snippets] - rexresearch1 BeardenEnergyvacuum PDF: "... longitudinal EM wavepairs, as shown by E. T. ... standing waves. Therefore the force potential can ...". This is the same sentence Titleman attributes to Barrett 1993 (2026-10-07-qeios.md). - Scribd "Files on Scalar Electromagnetics" (a critique of Bearden, author not identified): "Tom Bearden discovered this work of Whittaker sometime in the mid- to late-1980s and appropriated it as an updated model for his 'scalar potential'". That is the source's own characterization. - Bearden provisional patent application (Yumpu), Bearden 1981 "Solutions to Secrets & Soviet Tesla ..." (Studocu), oocities "Background for Pursuing Scalar Electromagnetics". Bearing: the "standing wave" framing of Whittaker 1903 enters through Bearden and Barrett (late 1980s to 1993). Whittaker's texts (1902, 1903) do not use it. Cross-project link: review/Bearden.

"Longitudinal standing wave" gravity in current alternative literature (priority 3)

Query: gravity "longitudinal standing wave" aether OR medium theory paper. [web: Google snippets; none opened] - K. Meyl, "Scalar Waves: Theory and Experiments" (ResearchGate): "How is the impulse passed on, so that a longitudinal standing wave can form?" - G. F. Gouveia 2025, "A Wave-Based Reconstruction of Physics Foundations" (Preprints.org): "internal, non-radiative longitudinal standing wave". - "Theory of the Gravitational Constant. Part IV" (Academia.edu): "longitudinal standing wave of gravitational rigidity within the Universe's vacuum continuum". - "Doppler Shifted 'In' and 'Out' Longitudinal Matter Waves ..." (Applied Physics Research, CCSE): "longitudinal standing wave with nodes across which no net momentum is transferred". In/out spherical waves, close to Whittaker's outgoing-wave sum and to the Wolff "wave structure of matter" school [memory: medium]. Bearing: the speculative Q07 hypothesis has living counterparts. None found cites a measurement that separates a standing longitudinal gravity wave from general relativity. Not opened; listed for a later run.

  • T. J. J. See, Electrodynamic Wave-Theory of Physical Forces, vol. 1 (Boston, 1917): a wave theory of magnetism, electrodynamic action and "universal gravitation" by a US Navy astronomer. Open on archive.org; HathiTrust and Google Books records. The archive.org PDF text quotes "Whittaker's History of the Aether, p. 122" and "the Kinetic Theory of Gravitation [of] Dr. Brush". Priority 3, not opened. [web: Google snippets]
  • Andrew Warwick, Masters of Theory: Cambridge and the Rise of Mathematical Physics (Chicago, 2003). Navarro cites it for "Whittaker was convinced that gravitation and electromagnetism were ultimately connected". It is the scholarly account of the Cambridge aether school around Larmor that Whittaker came from. A further Google hit: Cambridge chapter "Mathematicians in an Aethereal World (Chapter 5)" (2019), which describes a model Whittaker described. Priority 4. [web: Google snippets]
  • S. Darmos, "Strong evidence for composition-dependent gravity from Cavendish experiments" (ResearchGate, book chapter, Oct 2022), with a published "Response to" on ResearchGate. A claim against the equivalence principle from G-measurement scatter. Bears on A07's MICROSCOPE point; not opened. [web: Google snippets]
  • H. A. Múnera, "Neo-Cartesian unified fluid and field theory: from Klein-Gordon equation to de Broglie's Lorentz invariant mechanics", J. Phys.: Conf. Ser. 1251, 012038 (2019) (CERN S3 copy, read through the web-fetch tool's local copy with pdftotext). It quotes Whittaker 1903 p.355: "gravitational force in each constituent field will be perpendicular to the wave-front, i.e. the waves will be longitudinal ... this undulatory theory of gravity ... propagated with a finite velocity ... may be enormously greater". It adds: "Such notions are contrary to usual views that Maxwell's equations may only have transversal solutions; present author agrees with Whittaker." Múnera also argues that the equivalence principle is wrong and that gravity depends on composition. His 1997 Apeiron paper (with Guzmán) claims "longitudinal currents" implicit in Maxwell's equations. Priority 3. [web]