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V. Guruprasad

Publications and source records attributed to V. Guruprasad.

8 recordsLinked to original sources

The equilibrium classical scatter spectrum of waves

Regardless of the unspecific notions of photons as light complexes, radiation bundles or wave packets, the radiation from a single state transition is at most a single continuous wave train that starts and ends with the transition. The radiation equilibrium spectrum must be the superposition sum of the spectra of such wave trains. A classical equipartition of wave trains cannot diverge since they would be finite in number, whereas standing wave modes are by definition infinite, which had doomed Rayleigh's theory, and concern only the total radiation. Wave trains are the microscopic entities of radiation interacting with matter, that correspond to molecules in kinetic theory. Their quantization came from matter transitions in Einstein's 1917 derivation of Planck's law. The spectral scatter of wave trains by Doppler shifts, which cause the wavelength displacements in Wien's law used for the frequency dependence in Einstein's derivation, is shown to yield the shape of the Planck spectrum. A Lorentz transform property of Doppler shifts discovered by Einstein is further shown equivalently necessary and sufficient to have corrected Rayleigh's theory.

physics.gen-ph

Observational evidence for travelling wave modes bearing distance proportional shifts

Discrepancies of range between the Space Surveillance Network radars and the Deep Space Network in tracking the 1998 earth flyby of NEAR, and between ESA's Doppler and range data in Rosetta's 2009 flyby, reveal a consistent excess delay, or lag, equal to instantaneous one-way travel time in the telemetry signals. These lags readily explain all details of the flyby anomaly, and are shown to be symptoms of chirp d'Alembertian travelling wave solutions, relating to traditional sinusoidal waves by a rotation of the spectral decomposition due to the clock acceleration caused by the Doppler rates during the flybys. The lags thus relate to special relativity, but yield distance proportional shifts like those of cosmology at short range.

physics.gen-ph

A wave effect enabling universal frequency scaling, monostatic passive radar, incoherent aperture synthesis, and general immunity to jamming and interference

A fundamental Doppler-like but asymmetric wave effect that shifts received signals in frequency in proportion to their respective source distances, was recently described as means for a whole new generation of communication technology using angle and distance, potentially replacing TDM, FDM or CDMA, for multiplexing. It is equivalent to wave packet compression by scaling of time at the receiver, converting path-dependent phase into distance-dependent shifts, and can multiply the capacity of physical channels. The effect was hitherto unsuspected in physics, appears to be responsible for both the cosmological acceleration and the Pioneer 10/11 anomaly, and is exhibited in audio data. This paper discusses how it may be exploited for instant, passive ranging of signal sources, for verification, rescue and navigation; incoherent aperture synthesis for smaller, yet more accurate radars; universal immunity to jamming or interference; and precision frequency scaling of radiant energy in general.

physics.gen-ph

Prediction of spectral shifts proportional to source distances by time-varying frequency or wavelength selection

Any frequency selective device with an ongoing drift will cause observed spectra to be variously and simultaneously scaled in proportion to their source distances. The reason is that detectors after the drifting selection will integrate instantaneous electric or magnetic field values from successive sinusoids, and these sinusoids would differ in both frequency and phase. Phase differences between frequencies are ordinarily irrelevant, and recalibration procedures at most correct for frequency differences. With drifting selection, however, each integrated field value comes from *the sinusoid of the instantaneously selected frequency at its instantaneous received phase*, hence the waveform constructed by the integration will follow the drifting selection with a phase acceleration given by the drift rate times the slope of the received phase spectrum. A phase acceleration is literally a frequency shift, and the phase spectrum slope of a received waveform is an asymptotic measure of the source distance, as the path delay presents phase offsets proportional to frequency times the distance, and eventually exceeding all initial phase differences. Tunable optics may soon be fast enough for realizing such shifts by Fourier switching, and could lead to pocket X-ray devices; sources continuously variable from RF to gamma rays; capacity multiplication with jamming and noise immunity in both fibre and radio channels, passive ranging from ground to deep space; etc.

physics.gen-ph

h is classical

Regardless of number, standing wave modes are by definition noninteracting, and therefore cannot thermalize by themselves. Doppler shifts due to thermal motions of cavity walls provide necessary mixing, but also preserve the amplitudes and phases. The lambda/2 intervals of the modes thus preserved must have equal energy expectations, say , in the resulting equilibrium. By definition again, they can be exchanged between modes only in whole numbers and hence only between harmonics. Each family of harmonic modes is thus self-contained and is disjoint from other families in such exchanges, and further, can have no more than one mode excited at any instant. The second property identifies harmonic families of standing wave modes as the harmonic oscillators of Planck's theory, since a family can only bear energy equal to exactly one of E, 2E, 3E, etc These two properties further imply that the energy expectation gets averaged only over an individual family, as the equilibrium energy steadily available at a given mode would have contributions from its entire harmonic family. Planck's equations reemerge, and radiation quantization arises as a classical rule = f, as a mode must contain a whole number of exchangeable lambda/2 intervals, but it only concerns equilibrium states. The result makes Planck constant h an analogue of Boltzmann's constant k for the frequency domain, and points to postulate-free explanations of all aspects of quantum and kinetic theories.

physics.class-ph

An optical solution of Olbers' paradox

Shown is that contrary to common intuition, even an arbitrarily weak attenuating mechanism is sufficient to make the background sky quite dark independently of the size of the universe and the Hubble expansion. Further shown is that such an attenuation already exists in the wave nature of light due to entrapment and diffusion from successive diffractions. This is a fundamentally new mechanism to physics, as illustrated by application to the solar neutrino attenuation, galactic dark matter and gamma ray bursts problems. It not only provides a big bang-like cutoff, but also appears to explain the appearance of primeval, metal-deficient galaxies at high redshifts, without deviating from the Olbers' premise of an infinite universe.

astro-ph

Entanglement, thermalisation and stationarity: The computational foundations of quantum mechanics

'Tis said, to know others is to be learned, to know oneself, wise - I demonstrate that it could be more fundamental than knowing the rest of nature, by applying classical computational principles and engineering hindsight to derive and explain quantum entanglement, state space formalism and the statistical nature of quantum mechanics. I show that an entangled photon pair is literally no more than a 1-bit hologram, that the quantum state formalism is completely derivable from general considerations of representation of physical information, and that both the probabilistic aspects of quantum theory and the constancy of h are exactly predicted by the thermodynamics of representation, without precluding a fundamental, relative difference in spatial scale between non-colocated observers, leading to logical foundations of relativity and cosmology that show the current thinking in that field to be simplistic and erroneous.

quant-ph