Sound Behavior
Scientific Research / Article
1
Title
Title
Form Follows Algorithm: Differentiation of Chladni Patterns through Mathematical Functions in Processing
2
Author(s)
Varlik Yucel, Ilke Yildan
Author(s)
Varlik Yucel, Ilke Yildan
4
Key Words
#Chladnipatterns #cymatics #periodicfunctions #patterngeneration #Processing #graphicaluserinterface(GUI) #software.
Key Words
#Chladnipatterns #cymatics #periodicfunctions #patterngeneration #Processing #graphicaluserinterface(GUI) #software.
5
Year
Year
3
Abstract
Derived from and inspired by Chladni patterns and cymatics, this study aims to contribute to the algorithmic visualizations of mathematical functions in computer programming environment which has led to exploration and creation of various patterns. Mathematical operations which derived from periodic functions associated with different variables to control patterns. Software called Cymatify is introduced which developed in Processing. Cymatify allows users to generate patterns by modifying mathematical functions and variables. In the scope of this study, outcomes of the pattern generation will be discussed in the context of complexity, unpredictability and diversity of the patterns.
Abstract
Derived from and inspired by Chladni patterns and cymatics, this study aims to contribute to the algorithmic visualizations of mathematical functions in computer programming environment which has led to exploration and creation of various patterns. Mathematical operations which derived from periodic functions associated with different variables to control patterns. Software called Cymatify is introduced which developed in Processing. Cymatify allows users to generate patterns by modifying mathematical functions and variables. In the scope of this study, outcomes of the pattern generation will be discussed in the context of complexity, unpredictability and diversity of the patterns.
1
Title
Title
XXX. The vibrations of a chladni plate
2
Author(s)
Robert Cameron Colwell
Author(s)
Robert Cameron Colwell
4
Key Words
#Chladnipatterns #cymatics #equationofmotion #nodalpatterns"
Key Words
#Chladnipatterns #cymatics #equationofmotion #nodalpatterns"
5
Year
2009
Year
2009
3
Abstract
The report aimed at mathematically describing the Chladni Pattern for aplate based on the equation of motion
Abstract
The report aimed at mathematically describing the Chladni Pattern for aplate based on the equation of motion
1
Title
Title
Bio-soliton model that predicts non-thermal electromagnetic frequency bands, that either stabilize or destabilize living cells
2
Author(s)
J. H. Geesink, D. K. F. Meijer.
Author(s)
J. H. Geesink, D. K. F. Meijer.
4
Key Words
#solitonsbiology #quantumdynamics #quantumcoherence #eigenfrequencies #phonons #excitons #electrons #photons #coherence #BoseEinsteincondensates #toroidalcoupling #repair #Fröhlich #Davydov #Pang #Belyaev
Key Words
#solitonsbiology #quantumdynamics #quantumcoherence #eigenfrequencies #phonons #excitons #electrons #photons #coherence #BoseEinsteincondensates #toroidalcoupling #repair #Fröhlich #Davydov #Pang #Belyaev
5
Year
2017
Year
2017
3
Abstract
Solitons, as self-reinforcing solitary waves, interact with complex biological phenomena such as cellular self-organization. A soliton model is able to describe a spectrum of electromagnetism modalities that can be applied to understand the physical principles of biological effects in living cells, as caused by endogenous and exogenous electromagnetic fields and is compatible with quantum coherence. A bio-soliton model is proposed, that enables to predict which eigen- frequencies of non-thermal electromagnetic waves are life-sustaining and which are, in contrast, detrimental for living cells. The particular effects are exerted by a range of electromagnetic wave eigen-frequencies of one-tenth of a Hertz till Peta Hertz that show a pattern of 12 bands, and can be positioned on an acoustic reference frequency scale. The model was substantiated by a meta- analysis of 240 published articles of biological electromagnetic experiments, in which a spectrum of non-thermal electromagnetic waves were exposed to living cells and intact organisms. These data support the concept of coherent quantized electromagnetic states in living organisms and the theories of Fröhlich, Davydov and Pang. It is envisioned that a rational control of shape by soliton-waves and related to a morphogenetic field and parametric resonance provides positional information and cues to regulate organism-wide systems properties like anatomy, control of reproduction and repair.
Abstract
Solitons, as self-reinforcing solitary waves, interact with complex biological phenomena such as cellular self-organization. A soliton model is able to describe a spectrum of electromagnetism modalities that can be applied to understand the physical principles of biological effects in living cells, as caused by endogenous and exogenous electromagnetic fields and is compatible with quantum coherence. A bio-soliton model is proposed, that enables to predict which eigen- frequencies of non-thermal electromagnetic waves are life-sustaining and which are, in contrast, detrimental for living cells. The particular effects are exerted by a range of electromagnetic wave eigen-frequencies of one-tenth of a Hertz till Peta Hertz that show a pattern of 12 bands, and can be positioned on an acoustic reference frequency scale. The model was substantiated by a meta- analysis of 240 published articles of biological electromagnetic experiments, in which a spectrum of non-thermal electromagnetic waves were exposed to living cells and intact organisms. These data support the concept of coherent quantized electromagnetic states in living organisms and the theories of Fröhlich, Davydov and Pang. It is envisioned that a rational control of shape by soliton-waves and related to a morphogenetic field and parametric resonance provides positional information and cues to regulate organism-wide systems properties like anatomy, control of reproduction and repair.
1
Title
Title
Determinants of Faraday Wave-Patterns in Water Samples Oscillated Vertically at a Range of Frequencies from 50-200 Hz
2
Author(s)
Merlin Sheldrake, Rupert Sheldrake
Author(s)
Merlin Sheldrake, Rupert Sheldrake
4
Key Words
#Faradaywave #patternformation #vibrationalmode #catastrophetheory #bifurcation #analoguemodel #morphogenesis #parametricoscillation #nonlineardynamicsystem
Key Words
#Faradaywave #patternformation #vibrationalmode #catastrophetheory #bifurcation #analoguemodel #morphogenesis #parametricoscillation #nonlineardynamicsystem
5
Year
2017
Year
2017
3
Abstract
The standing wave patterns formed on the surface of a vertically oscillated fluid en- closed by a container have long been a subject of fascination, and are known as Faraday waves. In circular containers, stable, radially symmetrical Faraday wave-patterns are resonant phenomena, and occur at the vibrational modes where whole numbers of waves t exactly onto the surface of the fluid sample. These phenomena make excellent systems for the study of pattern formation and complex nonlinear dynamics. We provide a systematic exploration of variables that affect Faraday wave pattern formation on water in vertical-walled circular containers including amplitude, frequency, volume (or depth), temperature, and atmospheric pressure. In addition, we developed a novel method for the quantification of the time taken for patterns to reach full expression following the onset of excitation. The excitation frequency and diameter of the container were the variables that most strongly affected pattern morphology. Amplitude affected the degree to which Faraday wave patterns were expressed but did not affect pattern morphology. Volume (depth) and temperature did not affect overall pattern morphology but in some cases altered the time taken for patterns to form. We discuss our findings in light of René Thom’s catastrophe theory, and the framework of attractors and basins of attraction. We suggest that Faraday wave phenomena represent a convenient and tractable analogue model system for the study of morphogenesis and vibrational modal phenomena in dynamical systems in general, examples of which abound in physical and biological systems.
Abstract
The standing wave patterns formed on the surface of a vertically oscillated fluid en- closed by a container have long been a subject of fascination, and are known as Faraday waves. In circular containers, stable, radially symmetrical Faraday wave-patterns are resonant phenomena, and occur at the vibrational modes where whole numbers of waves t exactly onto the surface of the fluid sample. These phenomena make excellent systems for the study of pattern formation and complex nonlinear dynamics. We provide a systematic exploration of variables that affect Faraday wave pattern formation on water in vertical-walled circular containers including amplitude, frequency, volume (or depth), temperature, and atmospheric pressure. In addition, we developed a novel method for the quantification of the time taken for patterns to reach full expression following the onset of excitation. The excitation frequency and diameter of the container were the variables that most strongly affected pattern morphology. Amplitude affected the degree to which Faraday wave patterns were expressed but did not affect pattern morphology. Volume (depth) and temperature did not affect overall pattern morphology but in some cases altered the time taken for patterns to form. We discuss our findings in light of René Thom’s catastrophe theory, and the framework of attractors and basins of attraction. We suggest that Faraday wave phenomena represent a convenient and tractable analogue model system for the study of morphogenesis and vibrational modal phenomena in dynamical systems in general, examples of which abound in physical and biological systems.
1
Title
Title
Phonon Guided Biology: Architecture of Life and Conscious Perception Are Mediated by Toroidal Coupling of Phonon, Photon and Electron Information Fluxes at Discrete Eigenfrequencies
2
Author(s)
Dirk K. F. Meijer, Hans J. H. Geesink.
Author(s)
Dirk K. F. Meijer, Hans J. H. Geesink.
4
Key Words
#lifealgorithm #EMquantumfrequencies #eigenstates #frequencies #toroidalinformationflux #Ritzcalculation #Chladnigeometricpatterns #orderingofbiologicalsystems #phonon/photoncoupling #toroidalcoherenceprotection #Ca2 #wavesandconsciousness #farinfrared
Key Words
#lifealgorithm #EMquantumfrequencies #eigenstates #frequencies #toroidalinformationflux #Ritzcalculation #Chladnigeometricpatterns #orderingofbiologicalsystems #phonon/photoncoupling #toroidalcoherenceprotection #Ca2 #wavesandconsciousness #farinfrared
5
Year
2016
Year
2016
3
Abstract
Recently, a novel biological principle, revealing specific electromagnetic (EM) radiation frequencies that sustain life, was presented by us on the basis of an evaluation of 175 biological articles concerning beneficial effects of electromagnetic waves on the state of living cells. This concept was also based on a very similar range of frequencies emitted by a clay-mineral catalyst of RNA synthesis that may have been instrumental in the evolutionary initiation of first life, and therefore was tentatively designated as “Algorithm of Life”. The particular spectrum of frequency bands indicate that nature seems to employ discrete eigenfrequencies or standing waves that match precisely with an acoustic scale, with frequency ratios of 1:2, and closely approximated by 2:3, 3:4, 3:5, 4:5 and higher partials, allowing the discrete frequencies to be expressed in scalars. Our further studies clearly indicate now that this “life algorithm” pattern matches very well with the mathematical calculations of W. Ritz (1909) to compute eigenfrequencies of the sound induced geometric patterns. These have been earlier demonstrated through membrane vibration experiments of E. Chladni (1787), as well as several follow up studies from 1970-2013. Our findings, therefore, touch upon the science of acoustics, also since we show that the discrete frequencies could be modeled by music torus geometry. We postulate that the spectrum of EM frequencies detected, exhibit a quantum ordering effect on life cells on the basis of induction of geometric wave patterns. These constitute phonon/photon and electron wave energies, and quantum oscillations at far-infrared frequencies, that are communicated through toroidal constructive interference into scalar wave information. This idea is supported through our identification of potential intrinsic toroidal eigenfrequencies and minimal energy levels. The particular torus topology for information processing may also provide quantum error correction and protection against decoherence. Finally, we propose a phonon guided organization of cells and integral brain function by three elementary processes: 1) A phonon mediated geometric organization of coherent arrangement of water molecules in cellular plasma, leading to instructive functional organization of cellular structures and metabolic processes and enabling the origination and sustainment of life processes. 2) Toroidal phonon/photon/electron coupling, protecting standing wave coherency of resonant cell components such as proteins and DNA. 3) A toroidal integration of electromagnetic and phononic fluxes of information into scalar standing waves, promoting quantum flux of informational excitons such as Ca2+- ions and electrons (polaron and polariton formation). Our brain, therefore, can be placed in a 4+1 geometry, supported by internal and external quantum states and makes use of geometrical defined information fluxes, that are converted to standing waves. The integration of these interrelated processes is considered to be instrumental in the creation of conscious perception and is proposed to be organized in a fractal, nested, 4-D toroidal geometry.
Abstract
Recently, a novel biological principle, revealing specific electromagnetic (EM) radiation frequencies that sustain life, was presented by us on the basis of an evaluation of 175 biological articles concerning beneficial effects of electromagnetic waves on the state of living cells. This concept was also based on a very similar range of frequencies emitted by a clay-mineral catalyst of RNA synthesis that may have been instrumental in the evolutionary initiation of first life, and therefore was tentatively designated as “Algorithm of Life”. The particular spectrum of frequency bands indicate that nature seems to employ discrete eigenfrequencies or standing waves that match precisely with an acoustic scale, with frequency ratios of 1:2, and closely approximated by 2:3, 3:4, 3:5, 4:5 and higher partials, allowing the discrete frequencies to be expressed in scalars. Our further studies clearly indicate now that this “life algorithm” pattern matches very well with the mathematical calculations of W. Ritz (1909) to compute eigenfrequencies of the sound induced geometric patterns. These have been earlier demonstrated through membrane vibration experiments of E. Chladni (1787), as well as several follow up studies from 1970-2013. Our findings, therefore, touch upon the science of acoustics, also since we show that the discrete frequencies could be modeled by music torus geometry. We postulate that the spectrum of EM frequencies detected, exhibit a quantum ordering effect on life cells on the basis of induction of geometric wave patterns. These constitute phonon/photon and electron wave energies, and quantum oscillations at far-infrared frequencies, that are communicated through toroidal constructive interference into scalar wave information. This idea is supported through our identification of potential intrinsic toroidal eigenfrequencies and minimal energy levels. The particular torus topology for information processing may also provide quantum error correction and protection against decoherence. Finally, we propose a phonon guided organization of cells and integral brain function by three elementary processes: 1) A phonon mediated geometric organization of coherent arrangement of water molecules in cellular plasma, leading to instructive functional organization of cellular structures and metabolic processes and enabling the origination and sustainment of life processes. 2) Toroidal phonon/photon/electron coupling, protecting standing wave coherency of resonant cell components such as proteins and DNA. 3) A toroidal integration of electromagnetic and phononic fluxes of information into scalar standing waves, promoting quantum flux of informational excitons such as Ca2+- ions and electrons (polaron and polariton formation). Our brain, therefore, can be placed in a 4+1 geometry, supported by internal and external quantum states and makes use of geometrical defined information fluxes, that are converted to standing waves. The integration of these interrelated processes is considered to be instrumental in the creation of conscious perception and is proposed to be organized in a fractal, nested, 4-D toroidal geometry.