User contributions
5 November 2022
Exploring electroencephalography with a model inspired by quantum mechanics
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−11,293
Store:EEMIes08
Created page with "=== Table 2=== {| class="wikitable" !Stimulus !<math>\Delta x\Delta p_x</math> !<math>\Delta y\Delta p_y</math> !<math>\Delta x\Delta p_x</math> !<math>\Delta y\Delta p_y</math> !<math>\Delta x\Delta p_x</math> !<math>\Delta y\Delta p_y</math> !<math>\Delta x\Delta p_x</math> !<math>\Delta y\Delta p_y</math> |- | colspan="1" rowspan="1" |Taken | colspan="1" rowspan="1" |<small><math display="inline">(7\pm2.1)10^{-1}</math></small> | colspan="1" rowspan="1" |<small><math..."
Store:EEMIde08
Created page with "=== Table 2=== {| class="wikitable" !Stimulus !<math>\Delta x\Delta p_x</math> !<math>\Delta y\Delta p_y</math> !<math>\Delta x\Delta p_x</math> !<math>\Delta y\Delta p_y</math> !<math>\Delta x\Delta p_x</math> !<math>\Delta y\Delta p_y</math> !<math>\Delta x\Delta p_x</math> !<math>\Delta y\Delta p_y</math> |- | colspan="1" rowspan="1" |Taken | colspan="1" rowspan="1" |<small><math display="inline">(7\pm2.1)10^{-1}</math></small> | colspan="1" rowspan="1" |<small><math..."
Store:EEMIfr08
Created page with "=== Table 2=== {| class="wikitable" !Stimulus !<math>\Delta x\Delta p_x</math> !<math>\Delta y\Delta p_y</math> !<math>\Delta x\Delta p_x</math> !<math>\Delta y\Delta p_y</math> !<math>\Delta x\Delta p_x</math> !<math>\Delta y\Delta p_y</math> !<math>\Delta x\Delta p_x</math> !<math>\Delta y\Delta p_y</math> |- | colspan="1" rowspan="1" |Taken | colspan="1" rowspan="1" |<small><math display="inline">(7\pm2.1)10^{-1}</math></small> | colspan="1" rowspan="1" |<small><math..."
Store:EEMIit08
Created page with "=== Table 2=== {| class="wikitable" !Stimulus !<math>\Delta x\Delta p_x</math> !<math>\Delta y\Delta p_y</math> !<math>\Delta x\Delta p_x</math> !<math>\Delta y\Delta p_y</math> !<math>\Delta x\Delta p_x</math> !<math>\Delta y\Delta p_y</math> !<math>\Delta x\Delta p_x</math> !<math>\Delta y\Delta p_y</math> |- | colspan="1" rowspan="1" |Taken | colspan="1" rowspan="1" |<small><math display="inline">(7\pm2.1)10^{-1}</math></small> | colspan="1" rowspan="1" |<small><math..."
Store:EEMIes07
Created page with "==== Uncertainty principle ==== Despite the confirmation of previous neuroscientific results, and the apparent success of our quasi-quantum model, our research question as posed above remains only half answered. Using this model, we noted differences in the probability distributions and the phase space centroids in rest when compared to task. However, we still sought a parameter from the model that would remain the same in rest and task. To this end, we defined an analo..."
Store:EEMIde07
Created page with "==== Uncertainty principle ==== Despite the confirmation of previous neuroscientific results, and the apparent success of our quasi-quantum model, our research question as posed above remains only half answered. Using this model, we noted differences in the probability distributions and the phase space centroids in rest when compared to task. However, we still sought a parameter from the model that would remain the same in rest and task. To this end, we defined an analo..."
Store:EEMIfr07
Created page with "==== Uncertainty principle ==== Despite the confirmation of previous neuroscientific results, and the apparent success of our quasi-quantum model, our research question as posed above remains only half answered. Using this model, we noted differences in the probability distributions and the phase space centroids in rest when compared to task. However, we still sought a parameter from the model that would remain the same in rest and task. To this end, we defined an analo..."
Store:EEMIit07
Created page with "==== Uncertainty principle ==== Despite the confirmation of previous neuroscientific results, and the apparent success of our quasi-quantum model, our research question as posed above remains only half answered. Using this model, we noted differences in the probability distributions and the phase space centroids in rest when compared to task. However, we still sought a parameter from the model that would remain the same in rest and task. To this end, we defined an analo..."
Store:EEMIen07
no edit summary
−5,522
Store:EEMIen08
Created page with "=== Table 2=== {| class="wikitable" !Stimulus !<math>\Delta x\Delta p_x</math> !<math>\Delta y\Delta p_y</math> !<math>\Delta x\Delta p_x</math> !<math>\Delta y\Delta p_y</math> !<math>\Delta x\Delta p_x</math> !<math>\Delta y\Delta p_y</math> !<math>\Delta x\Delta p_x</math> !<math>\Delta y\Delta p_y</math> |- | colspan="1" rowspan="1" |Taken | colspan="1" rowspan="1" |<small><math display="inline">(7\pm2.1)10^{-1}</math></small> | colspan="1" rowspan="1" |<small><math..."
Store:EEMIen07
Created page with "==== Uncertainty principle ==== Despite the confirmation of previous neuroscientific results, and the apparent success of our quasi-quantum model, our research question as posed above remains only half answered. Using this model, we noted differences in the probability distributions and the phase space centroids in rest when compared to task. However, we still sought a parameter from the model that would remain the same in rest and task. To this end, we defined an analo..."
Store:EEMIes06
Created page with "=== Table 1 === Group averages of the centroids. {| class="wikitable" |+ !Stimulus !<math>\langle x\rangle</math> !<math>\langle y\rangle</math> !<math>\langle p_x\rangle</math> !<math>\langle p_y\rangle</math> |- |Taken | colspan="1" rowspan="1" |<small><math>(-1.4\pm5.8)\times10^{-1}</math></small> | colspan="1" rowspan="1" |<small><math>(2.4\pm8.0)\times10^{-1}</math></small> | colspan="1" rowspan="1" |<small><math>(-5.8\pm27.0)\times10^{-2}</math></small> | colspan=..."
Store:EEMIde06
Created page with "=== Table 1 === Group averages of the centroids. {| class="wikitable" |+ !Stimulus !<math>\langle x\rangle</math> !<math>\langle y\rangle</math> !<math>\langle p_x\rangle</math> !<math>\langle p_y\rangle</math> |- |Taken | colspan="1" rowspan="1" |<small><math>(-1.4\pm5.8)\times10^{-1}</math></small> | colspan="1" rowspan="1" |<small><math>(2.4\pm8.0)\times10^{-1}</math></small> | colspan="1" rowspan="1" |<small><math>(-5.8\pm27.0)\times10^{-2}</math></small> | colspan=..."
Store:EEMIfr06
Created page with "=== Table 1 === Group averages of the centroids. {| class="wikitable" |+ !Stimulus !<math>\langle x\rangle</math> !<math>\langle y\rangle</math> !<math>\langle p_x\rangle</math> !<math>\langle p_y\rangle</math> |- |Taken | colspan="1" rowspan="1" |<small><math>(-1.4\pm5.8)\times10^{-1}</math></small> | colspan="1" rowspan="1" |<small><math>(2.4\pm8.0)\times10^{-1}</math></small> | colspan="1" rowspan="1" |<small><math>(-5.8\pm27.0)\times10^{-2}</math></small> | colspan=..."
Store:EEMIit06
Created page with "=== Table 1 === Group averages of the centroids. {| class="wikitable" |+ !Stimulus !<math>\langle x\rangle</math> !<math>\langle y\rangle</math> !<math>\langle p_x\rangle</math> !<math>\langle p_y\rangle</math> |- |Taken | colspan="1" rowspan="1" |<small><math>(-1.4\pm5.8)\times10^{-1}</math></small> | colspan="1" rowspan="1" |<small><math>(2.4\pm8.0)\times10^{-1}</math></small> | colspan="1" rowspan="1" |<small><math>(-5.8\pm27.0)\times10^{-2}</math></small> | colspan=..."
Store:EEMIen06
Created page with "=== Table 1 === Group averages of the centroids. {| class="wikitable" |+ !Stimulus !<math>\langle x\rangle</math> !<math>\langle y\rangle</math> !<math>\langle p_x\rangle</math> !<math>\langle p_y\rangle</math> |- |Taken | colspan="1" rowspan="1" |<small><math>(-1.4\pm5.8)\times10^{-1}</math></small> | colspan="1" rowspan="1" |<small><math>(2.4\pm8.0)\times10^{-1}</math></small> | colspan="1" rowspan="1" |<small><math>(-5.8\pm27.0)\times10^{-2}</math></small> | colspan=..."
Store:EEMIes05
Created page with "===== In practice ===== These two equations are how we create our quasi-quantum mechanical analogues. The second equation is an extension of Ehrenfest’s theorem, relating the average momenta of a particle to the time derivative of its average position. Where we have assumed a Hamiltonian with only a spatially dependent potential. Note that as the positions are fixed in space (positions of the electrodes) only the probability changes in time. Throughout this paper the m..."
Store:EEMIde05
Created page with "===== In practice ===== These two equations are how we create our quasi-quantum mechanical analogues. The second equation is an extension of Ehrenfest’s theorem, relating the average momenta of a particle to the time derivative of its average position. Where we have assumed a Hamiltonian with only a spatially dependent potential. Note that as the positions are fixed in space (positions of the electrodes) only the probability changes in time. Throughout this paper the m..."
Store:EEMIfr05
Created page with "===== In practice ===== These two equations are how we create our quasi-quantum mechanical analogues. The second equation is an extension of Ehrenfest’s theorem, relating the average momenta of a particle to the time derivative of its average position. Where we have assumed a Hamiltonian with only a spatially dependent potential. Note that as the positions are fixed in space (positions of the electrodes) only the probability changes in time. Throughout this paper the m..."
Store:EEMIit05
Created page with "===== In practice ===== These two equations are how we create our quasi-quantum mechanical analogues. The second equation is an extension of Ehrenfest’s theorem, relating the average momenta of a particle to the time derivative of its average position. Where we have assumed a Hamiltonian with only a spatially dependent potential. Note that as the positions are fixed in space (positions of the electrodes) only the probability changes in time. Throughout this paper the m..."
Store:EEMIen04
no edit summary
+34
Store:EEMIit04
no edit summary
+34
Store:EEMIfr04
no edit summary
+34
Store:EEMIde04
no edit summary
+34
Store:EEMIes04
no edit summary
+34
Store:EEMIen05
no edit summary
−10
Exploring electroencephalography with a model inspired by quantum mechanics
no edit summary
−20,686
Store:EEMIen05
Created page with "With the same holding true for y. These two equations are how we create our quasi-quantum mechanical analogues. The second equation is an extension of Ehrenfest’s theorem, relating the average momenta of a particle to the time derivative of its average position. Where we have assumed a Hamiltonian with only a spatially dependent potential. Note that as the positions are fixed in space (positions of the electrodes) only the probability changes in time. Throughout this p..."
Store:EEMIes04
Created page with "=== Results === In this paper, we adapted the probability amplitudes of quantum mechanics to define new metrics for examining EEG data—the ‘average position’ and ‘average momentum’ of the EEG signal. These were constructed from our definition of ‘brain states’ based on the quasi-quantum model. This allowed us to ascertain the frequency with which unique brain regions are entered by the pseudo-wavefunction, as well as explore the average-valued phase space...."
Store:EEMIde04
Created page with "=== Results === In this paper, we adapted the probability amplitudes of quantum mechanics to define new metrics for examining EEG data—the ‘average position’ and ‘average momentum’ of the EEG signal. These were constructed from our definition of ‘brain states’ based on the quasi-quantum model. This allowed us to ascertain the frequency with which unique brain regions are entered by the pseudo-wavefunction, as well as explore the average-valued phase space...."
Store:EEMIfr04
Created page with "=== Results === In this paper, we adapted the probability amplitudes of quantum mechanics to define new metrics for examining EEG data—the ‘average position’ and ‘average momentum’ of the EEG signal. These were constructed from our definition of ‘brain states’ based on the quasi-quantum model. This allowed us to ascertain the frequency with which unique brain regions are entered by the pseudo-wavefunction, as well as explore the average-valued phase space...."
Store:EEMIit04
Created page with "=== Results === In this paper, we adapted the probability amplitudes of quantum mechanics to define new metrics for examining EEG data—the ‘average position’ and ‘average momentum’ of the EEG signal. These were constructed from our definition of ‘brain states’ based on the quasi-quantum model. This allowed us to ascertain the frequency with which unique brain regions are entered by the pseudo-wavefunction, as well as explore the average-valued phase space...."
Store:EEMIen04
Created page with "=== Results === In this paper, we adapted the probability amplitudes of quantum mechanics to define new metrics for examining EEG data—the ‘average position’ and ‘average momentum’ of the EEG signal. These were constructed from our definition of ‘brain states’ based on the quasi-quantum model. This allowed us to ascertain the frequency with which unique brain regions are entered by the pseudo-wavefunction, as well as explore the average-valued phase space...."
Store:EEMIes03
Created page with "Indeed, the same set of structured patterns of neural activity have been found during "active" states, such as, while completing different tasks<ref>Biswal BB, Eldreth DA, Motes MA, Rypma B. Task-dependent individual differences in prefrontal connectivity. Cereb. Cortex. 2010;20:2188–2197. doi: 10.1093/cercor/bhp284. [PMC free article][PubMed] [CrossRef] [Google Scholar]</ref><ref>Fox MD, Raichle ME. Spontaneous fluctuations in brain activity observed with functional m..."
Store:EEMIde03
Created page with "Indeed, the same set of structured patterns of neural activity have been found during "active" states, such as, while completing different tasks<ref>Biswal BB, Eldreth DA, Motes MA, Rypma B. Task-dependent individual differences in prefrontal connectivity. Cereb. Cortex. 2010;20:2188–2197. doi: 10.1093/cercor/bhp284. [PMC free article][PubMed] [CrossRef] [Google Scholar]</ref><ref>Fox MD, Raichle ME. Spontaneous fluctuations in brain activity observed with functional m..."
Store:EEMIfr03
Created page with "Indeed, the same set of structured patterns of neural activity have been found during "active" states, such as, while completing different tasks<ref>Biswal BB, Eldreth DA, Motes MA, Rypma B. Task-dependent individual differences in prefrontal connectivity. Cereb. Cortex. 2010;20:2188–2197. doi: 10.1093/cercor/bhp284. [PMC free article][PubMed] [CrossRef] [Google Scholar]</ref><ref>Fox MD, Raichle ME. Spontaneous fluctuations in brain activity observed with functional m..."
Store:EEMIit03
Created page with "Indeed, the same set of structured patterns of neural activity have been found during "active" states, such as, while completing different tasks<ref>Biswal BB, Eldreth DA, Motes MA, Rypma B. Task-dependent individual differences in prefrontal connectivity. Cereb. Cortex. 2010;20:2188–2197. doi: 10.1093/cercor/bhp284. [PMC free article][PubMed] [CrossRef] [Google Scholar]</ref><ref>Fox MD, Raichle ME. Spontaneous fluctuations in brain activity observed with functional m..."
Store:EEMIen03
Created page with "Indeed, the same set of structured patterns of neural activity have been found during "active" states, such as, while completing different tasks<ref>Biswal BB, Eldreth DA, Motes MA, Rypma B. Task-dependent individual differences in prefrontal connectivity. Cereb. Cortex. 2010;20:2188–2197. doi: 10.1093/cercor/bhp284. [PMC free article][PubMed] [CrossRef] [Google Scholar]</ref><ref>Fox MD, Raichle ME. Spontaneous fluctuations in brain activity observed with functional m..."
Exploring electroencephalography with a model inspired by quantum mechanics
no edit summary
+105
Exploring electroencephalography with a model inspired by quantum mechanics
Introduction
−4,072
Store:EEMIes02
Created page with "=== Introduction === An important but outstanding issue in contemporary cognitive neuroscience is understanding the organizational properties of neural activity. For instance, is there a fundamental structure to the spatial–temporal patterns neural brain activity across different conditions? One common approach used to address this question is to examine the brain at “rest”. Measures such as functional connectivity, independent component analysis and graph theoreti..."
Store:EEMIde02
Created page with "=== Introduction === An important but outstanding issue in contemporary cognitive neuroscience is understanding the organizational properties of neural activity. For instance, is there a fundamental structure to the spatial–temporal patterns neural brain activity across different conditions? One common approach used to address this question is to examine the brain at “rest”. Measures such as functional connectivity, independent component analysis and graph theoreti..."
Store:EEMIfr02
Created page with "=== Introduction === An important but outstanding issue in contemporary cognitive neuroscience is understanding the organizational properties of neural activity. For instance, is there a fundamental structure to the spatial–temporal patterns neural brain activity across different conditions? One common approach used to address this question is to examine the brain at “rest”. Measures such as functional connectivity, independent component analysis and graph theoreti..."
Store:EEMIit02
Created page with "=== Introduction === An important but outstanding issue in contemporary cognitive neuroscience is understanding the organizational properties of neural activity. For instance, is there a fundamental structure to the spatial–temporal patterns neural brain activity across different conditions? One common approach used to address this question is to examine the brain at “rest”. Measures such as functional connectivity, independent component analysis and graph theoreti..."
Store:EEMIen02
Created page with "=== Introduction === An important but outstanding issue in contemporary cognitive neuroscience is understanding the organizational properties of neural activity. For instance, is there a fundamental structure to the spatial–temporal patterns neural brain activity across different conditions? One common approach used to address this question is to examine the brain at “rest”. Measures such as functional connectivity, independent component analysis and graph theoreti..."
Exploring electroencephalography with a model inspired by quantum mechanics
Abstract
−1,443
Store:EEMIes01
Created page with "== Abstract== An outstanding issue in cognitive neuroscience concerns how the brain is organized across different conditions. For instance, during the resting-state condition, the brain can be clustered into reliable and reproducible networks (e.g., sensory, default, executive networks). Interestingly, the same networks emerge during active conditions in response to various tasks. If similar patterns of neural activity have been found across diverse conditions, and ther..."
Store:EEMIde01
Created page with "== Abstract== An outstanding issue in cognitive neuroscience concerns how the brain is organized across different conditions. For instance, during the resting-state condition, the brain can be clustered into reliable and reproducible networks (e.g., sensory, default, executive networks). Interestingly, the same networks emerge during active conditions in response to various tasks. If similar patterns of neural activity have been found across diverse conditions, and ther..."
Store:EEMIfr01
Created page with "== Abstract== An outstanding issue in cognitive neuroscience concerns how the brain is organized across different conditions. For instance, during the resting-state condition, the brain can be clustered into reliable and reproducible networks (e.g., sensory, default, executive networks). Interestingly, the same networks emerge during active conditions in response to various tasks. If similar patterns of neural activity have been found across diverse conditions, and ther..."