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.dsp
If 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.
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