HardySpicer wrote:> On Jan 3, 12:47 pm, curiosus_2...@yahoo.com wrote: >> Sampling Universe Theory >> >> * Foreword * >> >> As I am working in the field of digital signal processing, I noticed >> strong similarities between digital signal processing and quantum >> mechanics. >> >> I am aware that analogy does not mean identity, however I was curious >> to see how far that was possible to extend the analogy. >> >> It began by considering that the physical limits of Planck (Planck's >> time and length) were similar to the limits encountered with signal >> sampling processes (sampling period and sampling resolution.) >> > > >> Then I extended the analogy, and the analogy is currently working in >> the following areas: >> >> - The duality wave / particle >> - The time of Planck and length of Planck >> - The Heisenberg uncertainty principle >> - The speed of the light >> - The nature of photons >> - A synthesis between conflicting Einstein's and Bohr's viewpoints >> - A simple explanation of the expansion of the universe >> >> I would like to know if these analogies make sense for professional >> physicians: >> >> * Sampling resolution and limits * >> >> In digital signal processing, we fetch samples from the real world in >> order to convert these into numbers. The process involves two limiting >> factors: >> >> - The sampling period: the sampling process cannot represent >> accurately events shorter than the sampling period. For example music >> CDs are using a sampling frequency of 44,100 Hz.Shorter than twice the sampling period, assuming real (not complex) samples.>> - The sampling resolution: the sampling process cannot represent >> values smaller than the resolution (for example 1 / 2^16 by using 16 >> bits A/D converters.)Higher sample rates than specified above can make interpolation possible under the right circumstances.>> Similarly in Quantum Mechanics, we have limits in time (Planck's time) >> and space (Planck's length). Nothing smaller than these limits can >> exist in the universe. >> >> So the Sampling Universe Theory makes the assumption that the physical >> universe is sampled from an upper infinite universe, by using the >> Planck's frequency (1 / Planck's time) as sampling frequency, and the >> Planck's length as spatial resolution. >> >> I have posted some illustrations at:http://www.geocities.com/curiosus_2008/samplinguniverselimits.htm >> >> * Duality wave/particle * >> >> There are now ultra fast cameras showing the progressive accumulation >> of photons in interference experiments. >> >> As photons accumulate, we see more and more clearly a sine wave >> modulated shape displayed on the screen. >> >> Similarly, when looking at the output of a D/A converter on the screen >> of an oscilloscope, we see that, as the sweeps accumulate, a more and >> more accurate sine wave is displayed on the screen. >> >> I have posted some illustrations at:http://www.geocities.com/curiosus_2008/samplinguniversedualitywavepar... >> >> * Heisenberg uncertainty principle * >> >> Heisenberg demonstrated that we cannot know accurately both the >> position and the speed of a particle. >> >> Similarly, in digital signal processing, the sampling resolution and >> period limits are creating errors and uncertainties. The formulas are >> similar to Heisenberg's formulas. >> >> I have posted some illustrations and formulas at:http://www.geocities.com/curiosus_2008/samplinguniversedualitywavepar... >> >> * The speed of the light * >> >> In the physical universe, the maximum speed is the speed of the light, >> equal to >> (Planck's length) / (Planck's time). >> >> If we represent space with digital signal processing, and make the >> assumption that a 'particle' from this domain cannot jump more from >> one spatial units at a time, we get too a maximum speed equal to >> (Sampling resolution) / (Sampling period) >> >> So the speed of the light limit would be a consequence of a >> limitation: in one unit of time (Planck's time), the photon is moving >> into the next 'Planck's cell'. It cannot jump above the nearest >> Planck's cells. >> >> If he could, that would mean the existence of waves moving at twice >> the speed of the light, which is not envisioned by current theories. >> >> * The nature of photons * >> >> To some degree, the photons are not fully from this world, as they >> have no mass and they travel at the speed of the light, something no >> other component of our world can do. >> >> Moreover it seems that photons can be transformed into matter, and >> that matter can be disintegrated into photons. So it seems that >> photons are the basic components of our universe, from which any other >> component is built. >> >> Similarly, in digital signal processing, we have samples which are the >> basic components of the 'sampled universe', and samples are but >> numbers. The numbers are entities which are at the interface between >> the sampled universe and the 'real world', they participate from both >> the real world and the sampled space (the sampled space could reside, >> for example, in the memory of a computer.) >> >> Similarly too, samples are the basic components of the sampled >> universe. >> >> So the photons would be the analogue of samples, being at the >> interface between our finite universe and an infinite upper universe. >> >> * A synthesis between conflicting Einstein's and Bohr's viewpoints * >> >> There was a famous debate between Einstein and Bohr. >> >> In brief, Einstein refused to accept quantum indeterminism, stating >> that "God does not play dice", when according to Quantum Mechanics our >> universe is 'governed' by probabilities. >> >> According to the sampling universe theory, both Einstein and Bohr are >> right: >> >> There would be an upper infinite universe not governed by >> probabilities, that would be the 'Einstein's universe', but as our >> physical universe is a finite representation from it, the infinite to >> finite conversion creates errors and uncertainties expressed by >> quantum mechanics, that would be the 'Bohr's universe'. Both universes >> would exist, each one with its own laws, Bohr's universe being a >> subset of Einstein's universe. >> >> * The expansion of the universe * >> >> The Sampling Universe Theory involves that not only space and time are >> discrete and have limits, but other values as well such as the forces >> of gravitation. >> >> So there would be quanta of gravitation, and the forces of gravitation >> cannot become smaller than the quanta. >> >> This means that when the distance between two galaxies becomes large >> enough, the forces of gravitation become smaller than the quanta of >> gravitation and are cancelled. >> >> But radiation pressure, carried by photons, is not stopped by >> distance. >> >> So beyond a critical distance, radiation pressure tend to push away >> galaxies which are no more attracted by gravitation, and the universe >> is expanding. >> >> I have posted some illustrations and formulas at:http://www.geocities.com/curiosus_2008/samplinguniverseexpanding.htm >> >> Do these analogies make sense? >> >> Curiosus >> --http://www.geocities.com/curiosus_2008/ > > Cross posted to comp.dspIf you figured all this out independently, your knowledge is deep and you are very insightful. Jerry -- Engineering is the art of making what you want from things you can get. �����������������������������������������������������������������������
Re: Sampling Universe Theory
Started by ●January 3, 2008
