White Paper 2020:     Lab test in-progress (pdf)

NAECON 2019 July 17:     presentation (20 frames)     paper   preprint (8 pages)     github: graphs     JPL: data source

Illustrating the lag in mathematical physics:

• A novel description and mathematical analysis of the Fractional Discrete Fourier Transform arXiv:1909.13691 2019-10-01
  Independent formal proof that Fourier and chirp transforms. are rotations between time and frequency domains, as described in the above papers.
• Generalizing the inverse FFT off the unit circle Nature Scientific Reports 2019-10-08
  Long overdue O(n log n) implementation of the inverse chirp transform. (Not needed for chirp mode communication and ranging.)

Post NAECON:

• Comment on "The Flyby Anomaly and the Gravitational-Magnetic Field Induced Frame-Dragging Effect around the Earth" arXiv:1911.05453 2019-11-18
  The kilometre-scale 5σ radar residuals make relativistic notions like frame-dragging a bad idea.

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Inspired Research (IR) represents the personal research and intellectual property of its principal.

1. Chirp propagating modes [below] provide a fundamental distinction between composite travelling waves and their spectral components. They notably make current quantum formalisms incomplete. In any case, quantization of energy (~amplitude) must be causally independent of properties of extent (~non-locality), so entanglement must be identically present in the spectral components of classical fields. Independent theoretical support is now emerging (Brady2013 + Brady2015; Carroll2015; Ghose2013) even as entanglement itself is being confirmed as real (arxiv nature). A broader result completed ( initial, arXiv ) is that Einstein's 1905 relativity paper already implies that the Planck distribution is the classical thermal spectral scatter of arbitrary wave trains, complementing his 1917 derivation, that was in hindsight fully classical.

2. Editor's choice paper in EPL (arXiv) presenting
   • detailed explanation of the flyby anomaly;
   • correcting a 250 year old bug in the basic theory of waves, vindicating d'Alembert over Euler;
   • chirp travelling wave solutions and modes, isomorphic and orthogonal to the traditionally assumed sinusoidal spectra;
   • and robust empirical evidence from NASA, ESA and US STRATCOM's SSN radars in the flyby anomaly for the existence and properties of the chirp modes.

   The distinguishing property of distance proportional spectral shifts resembles the Hubble shifts, but at receiver-selected rates independently of range. It was anticipated for over 10 years in patents and in peer-reviewed conference papers at IEEE WCNC 2005, MILCOM 2005 and SPIE Optics+Photonics 2008: Nature of Light II: Light in Nature. The shifts imply time dilations depending on receiver distances and frequency selection rates, which also explains how the same waveform is not seen by identical receivers at different distances, but required hard evidence for their reality, and to clarify their physics. This evidence lay in the first paper on the 1998 NEAR flyby and its anomaly, but never brought up again by JPL. The evidence testifies to the realizability of chirp modes at sub-astronomical distances, on earth, for

   • obsoleting spectrum allocations and auctions (also), and multiplying channel capacities;
   • making communication inherently interference-free and satellites unjammable, by enabling any radio or cell-phone to select a specific station or source regardless of any number of other transmitters on the same frequencies;
   • instant passive ranging of satellites, aircraft, cars, rescue beacons, etc., without radar round-trip delays or triangulation; and
   • enabling a whole generation of continuously tunable wavelength-transformers that could transform, for example, visible LED light into terahertz or X-rays,
   as anticpated in the conference papers above.

   Update Conclusive analysis and cause of the flyby anomaly presented at IEEE NAECON 2019.

3. A poster along with a peer-reviewed paper was presented on 29 Jul 2008 (pictures: 1 2 3) at the 6th International Energy Conversion Engineering Conference (IECEC) on a fundamental breakthrough in thermodynamic theory that enables direct conversion from hot particles, potentially raising the Carnot limit to virtually unity (thereby effectively doubling our energy resources). The approach involves using electric or magnetic fields in place of mechanical pistons in order to capture the hot particle energies before their dispersion into the bulk medium by relaxation processes at subpicosecond speeds.

   The approach would be applicable as a "front-end convertor" before traditional conversion in nuclear, chemical and even solar power. Another envisaged application is in IC chips for converting the hot carrier energies before they can cause heating and lattice damage.