New preprint!
Spectral Amplitude Modulation in EEG: Potential Correlations with Musical Stimuli (DOI
10.6084/m9.figshare.27115354):
Five songs were played while recording EEG. Later, the signals were visualized as TFA fabric (time-frequency-amplitude) in
In Scientific American's (Feb 2024) article 'Minds Everywhere,'
@drmichaellevin
and others present several examples of bioelectricity serving as the integrating mechanism for functionality or agency across several things such as the Planarian, fly traps, slime mold, sensitive
This is a demonstration of 'perceptual avatar perspective.'
My brain can model the roadway in front of me as a manifold surface, but the light rays will impinge upon my pupil such that closer width of road will be larger in perspective angle than farther width of road (in the
Best article I've read this week.
“The brain area called the auditory cortex processes the sound of a word as it enters the ear. But it is the brain’s prefrontal cortex, a region where higher-order brain activity takes place, that works out a word’s ‘semantic meaning’ — its
Here's my ranking of Science of Consciousness conference presentations. Overall, A+ conference this year (I did skip some that I knew didn't care about intellectual honesty/consistency/logic).
(1) Shamil Chandaria
(2) Earl Miller MIT
(3) Gina Poe
Shamil's presentation was
This is an excellent talk by
@MillerLabMIT
.
PFC neurons less sensitive to sensory information and more so to rules and principles needed to solve a task (like teaching monkeys to differentiate cat vs dog, or same vs different, or up vs down).
Suggests LFP may steer neural
Cell interview with Christof Koch. Although I still think they are missing out by not studying the sub-anesthetics/sedatives (alcohol, cannabis, ibogaine, ketamine, salvia, propofol, muscimol) which elucidate the attention stream/binding geometry, the 5HT agonists may be fruitful
📢Special issue on Consciousness, brought to you by Christina Konen & Mariela Zirlinger. This issue includes reviews and commentaries, each addressing a different area of consciousness research, and Q&As with Koch and
@StanDehaene
.
Find this all here
Blue lotus, while being a 5HT2a antagonist, is a mild 5HT1a agonist (due to the apomorphine), and hence may share some phenomenology with 5meo although I have no experience there.
Blue lotus (legal in 49 states) seems to induce several (like 10+) channels in the 1-7 Hz range
This to me does track. As you go from left to right you go from highly structured, semantically meaningful, excitatory states of consciousness to unstructured, semantically neutral, oceanic, and deeply relaxing states of consciousness.
If you've only ever tried 5ht2a-heavy
Assuming the body and world you see are your brain's model of the real things, then consciousness is the most intuitive dashboard ever. It's like evolution is Steve Jobs' focus on user experience, on steroids.
On another note, I'm feeling more like perceptual sound mostly
I tried this illusion again with my 16-ch eeg cap on. A prominent wobble seems to correspond to a very sharp eeg wave in occipital cortex, sometimes also enlisting most or entire cortex.
This illusion can be quite like the 'frames of consciousness.' The discrete motionlessness of each new location step/wobble at about 10 Hz is very discontinuous or kiki as opposed to booba.
If the brain makes fast, radar-sweep refreshes of the body schema (and entire conscious experience too), learning to cyclically fire a particular cortical column in somatosensory representing a receptive field patch on lady's left elbow (and cyclically fire every other receptive
Mind blown today.
Baars podcast - 44:00.
Wilder Penfield allowed patient to hear when a selected neuron in temporal lobe fired, and the patient could readily learn to voluntarily control the timing of that neuron firing 🫨🤔.
I tried to find the
Read about it here!
My newly rewritten book on why I think rings and bank are the underlying mechanisms of conscious unity.
Free PDF:
Hardcopies also available:
This looks like a really insightful paper.
If I understood aright, motor output is encoded along a ring trajectory. You simply rotate out of the action dimension into the imagery dimension and you can practice mentally your tennis skills, then once you're ready to implement,
@Caldwbr
I agree prefrontal and premotor areas may be involved in sending signals responsible for switching between imagery and execution. The need for an explicit threshold/gating mechanism may be replaced by a rotation in the appropriate neural subspace (e.g., )..
This is a great study tool.
As any sedative kicks in, 1–2 Hz global waves begin to take over (note 'fundamental' first image, added).
This can lead to half-second washouts of gamma 'paint' which seems to carry semantic meaning; perceptually, these probably correspond to
Consciousness is like starting a lawn mower or car- you have to turn it over a few times rapidly enough before it can feed back into itself and self-perpetuate. So the tracer points along ring are like this starting mechanism that continues itself afterwards.
And this 'starting'
Trying out transcranial stimulation - wow - alternating current at dlPFC l/r at 10 Hz it literally looks like lights are flashing at 10 Hz, but you look in mirror there is no light source!
Direct current does nothing for me, but alternating current, wow, this is something to
Wow, a study on flicker frequencies.
Human: peak sig response in V1 to about 9.45 Hz (for me, it is 9.8 Hz).
Mice: peak @ ~8 Hz (& some @ 5, 15, 33 Hz).
And I think they're saying they see geometric standing wave patterns in visual cortex. Specific patterns dominate a bit more
There was another interesting article:
“THE ELEPHANTNOSE FISH wouldn’t get very far on eyesight alone in the murky rivers of western and central Africa that it calls home. Instead it relies on a sense called electrolocation: an organ on its tail emits a weak electric field that
This is a good study on DMN, but tough reading.
Instead of dividing cortex normally, they use 'cytoarchitecture,' which means how brain cells are arranged in layers (laminar structure) and organized in different regions. Eg V1 has heavy layer 4, and is called 'Koniocellular,' as
In the figure, loss of consciousness or return of consciousness shows profound correlation with increased/decreased thalamo-cortical synchrony at 2 Hz.
"Unlike with propofol, ketamine-mediated unconsciousness included periods of high-frequency waves alternating every 4 to 10
Was talking to
@cube_flipper
about this today. Sorry the diagram is rough.
But what if nested gamma beats (within theta of hippocampus) are replaying the past theta frames, so as to enforce experience into memory?
In other words, say you have 7 gamma beats within a theta cycle.
Just realized that fusiform face area (FFA) and visual word form area (VWFA) are already above 'geometric escape velocity' in the hierarchy—that is, they are semantic, and bank/perceptual-geometry must be lower in hierarchy.
Scientists stimulated (intracranial) part of FFA, and
This talk at Science of Consciousness was insightful.
First, apparently sleep stages have been redefined:
Wake
N1 = Stage 1
N2 = Stage 2 (with sleep spindles)
TR = Transition to REM
N3 = Stage 3 + 4
REM
FYI:
Sleep spindles = sigma waves = 11–15 Hz
(I think sleep spindles are
So excited to direct your attention to our newest paper (kudos Rockelle Guthrie,
@MankinNeurosci1
& Davide!) : Recurrent Hippocampo-neocortical sleep-state divergence in humans | Proceedings of the National Academy of Sciences
One hemisphere may receive info from the other via the two synchronizing the ring-tracer angular velocity and morphology for a set duration (the receiving side becoming supple to mould to the sending side).
For one, they found tracer making rings at 1.4 Hz.
I still think this
Yep, was great, even got this cool t-shirt!
Miller's point that all anesthetics seem to cause a single phenomenon of global 1 Hz swamping brain waves (and front-back anti-phase) is spot on. It would allow for why it feels like you are timing out on interpreting patterns into
Behold the voltage head plot!
The normal head plot of EEG seems to be showing the walk/fluxuations of voltage on a seconds timescale, rather than highlighting the localized and in-the-now cycling behavior.
So I wrote some custom widgets for OpenBCI GUI-
Top right- most
*Normal state*
Frames: 10-20+ Hz
Paint: 40-100+ Hz
*NMDA-antagonized state*
Frames: 2 Hz (up to 12++ Hz)
Paint: usually 40+ Hz, can occasionally occur as slow as 2 Hz when doing a non-demanding task like reading text on a phone.
*5HT-agonized state*
No idea
Disclaimer: sound
Good question (why is the brain so parallel and consciousness so serial/unitary?).
Consciousness exists, functionally, as a unitary president over muscle program that can contemplate/plan, train autonomous systems, and veto/override.
Consciousness has vastly parallel utility
Consciousness is closely associated with the "limited capacity" aspects of the brain, which include immediate memory, the selectivity of attention, and the fact that we cannot do two demanding voluntary actions at the same time. If we look at these limited mechanisms, the brain
This seems to fit what I've been saying.
There is a schema in which we perceive a timeline (working memory or flowing time window). This is probably why you can guess how much ahead you need to consciously decide an action for it to occur at the right time in the model of
Perception in real-time: predicting the present, reconstructing the past - we don't perceive timepoints, we perceive timelines, which can be overwritten by new info (postdiction)
This is such a great illustration. Being extra, I added a couple more labels.
Environs sim + body sim = world sim.
But this real world schema (blue box) is only one of at least four schemas that seem to be active under the hood.
Usually when the simulation shifts to
Fascinating, but wild, wiring between front and 'back' (parietal) of brain.
Layer 5 of frontal projects to layer 2/3 of parietal, which then projects back to layer 4 of frontal.
Ketamine increases AMPA feedforward (layer 2/3 of parietal going to layer 4 frontal).
Normal state
New paper! 📢
Neurophysiological evidence that frontoparietal connectivity and GABA-A receptor changes underpin the antidepressant response to ketamine.
Super chuffed to have this one out finally!
Excellent diagram depicting the idea that, as sensory inputs throw a stone on the lake of cortex, earliest wave may link to a large ensemble of neurons, and a second and possibly third wave link to separate, and sparse, ensembles.
I think this fits well with the phenomenal
Evolution of theories of how anesthesia works:
(1) Lipid Theory- saw correlation between efficacy of anesthetics and their level of lipid solubility (in cell membranes).
(2) Receptor/Cyto Theory- noticed that anesthetics can act on voltage and ligand-gated receptors and on
There is some prediction/processing prior to creation of perceptual visual field*, but largely, it's a bottom-up driven phenomenon, because if you wear contacts 30 days, then remove them, you don't predict precision or use the memory of what objects looked like- you immediately
I think this new replication of rings (in altered state *burst mode* 2 Hz) is one of my better, at least for explanatory power. Feel free to ask if this does not make sense.
Note that, in burst mode, after a gap, there is 3D blackness, and the three rings come first, beginning
Replication of phenomenology of global burst-mode.
Neural firing of RSP sub-video is taken from this paper: Deep posteromedial cortical rhythm in dissociation …
The entire purpose of consciousness is the motor output, which can be tweaked or altered at a maximal 10 to 12 Hz (you can only move your fingers 10 to 12 times a second).
Moving through thought is temporary abandonment of tweaking of the motor output in order to contemplate
Llinás R. 1987. ‘Mindedness’ as a functional state of the brain. In Mindwaves (eds C Blakemore, SA Greenfield), pp. 339–358. Oxford, UK: Basil Blackwell.
A couple of quotes:
@algekalipso
To me smoking st johns wort (ssri) in morning is like coffee- but more like it makes you want to go outside and enjoy nature. Doesn't affect valence much, but affects drive. Feels like an expansion. Seems to wear off after a couple weeks. I smoked it a couple years back on
Actually I do think attended head turning is a qualia.
Rings/frames of the attention system are somewhat like 'rack teeth' on the 'rack rail' (between the running rails) of a cog railway, but pulling you through 3D perceptual space-time.
Many have described the operation of the
@DioVicen
Myopia results in desired single light ray being spread over multiple cones and rods. I don't see this as a simple problem to resolve. Many pixels coming into one receptor is a muddy situation that can't be easily rectified.
Fourier Transform: transform time-domain signals into the spectral domain, easy. but why use only these two domains?
➡️ fractional Fourier Transform, for transform into the space in between. time domain – alpha=0; spectral domain – alpha=1, other alphas: a strange world. 🙃
Kind of interesting paper.
If I got it right, a single fly neck motor neuron is devoted to a particular *frozen posture* or head direction relative to the body, so that activating the neuron tends to return the head to that frozen posture (like looking leftward and downward)
We often hear dismissive comments about frustrating articles in glam journals.
And then there are papers like this 👇
An experimental tour de force with deep conceptual significance. Very inspiring 🙏👏
The peer-reviewing file is worth having a look
Am thinking more about this normal state to anesthesia continuum, and realized that as you downshift frequency of attention frames from alpha/beta down to low delta, you increase in globality.
So it would make sense that you begin seeing edges or surface of your attention as a
Definitely feels like a field.
But what if consciousness is computing with meaning* by transforming input to output in a way that serves goals?
You have a display (paint and frames), a viewer/judger (metacognition), a responder (agency/goals). But fundamentally it looks a lot
Talked to a relative about *color.*
He said, following an early childhood injury to his right eye, that it became hard to differentiate red and green, as both are just a gray.
He also sees, when rock climbing in a gym, the handles look all gray when it is a strenuous climb; but
Does 'self' consist of anything that is not of type 'goal'?
(and the feelings of good/bad valence for achievement/non-achievement of goals)
It seems to me like the brain runs two videos simultaneously:
the unbiased/unfeeling one = awareness?
& goal-biased one = attention?
We exist as a multimedia <story> the brain crafts (to model physicality).
The neural activity is like a Disney magic wand going around ring paths in blackness unveiling a 3D animation that is the pretended meaning it's dancing around to unite itself.
One way to probe: “At low-sedative doses anesthetic agents may cause a state similar to drunkenness and subjects may present an increased sleepiness, distorted time perception, and depersonalization (Alkire et al., 2008b).”
Some agents carve reality up into discrete frames. In
One great problem seems to be this: Conscious experience is hard to study because we cannot easily stand outside of it to observe the effects of its presence and absence.
But generally in science, we gain knowledge about any event by comparing its presence and absence; that is,
Great study, here are some thoughts:
I do see a lot of overlap between this study and the schemas I mention.
For one, she notes that PPC may be the site where 'body schema' (as a 3D space with avatar in some posture) is continually stitched to 'environment schema' (also 3D at
Out in
@CurrentBiology
: a challenge to traditional views on distorted body representations. With
@LukeMillerNeuro
and
@pmedendorp
at
@DondersInst
we found that biases in hand perception stem from somatosensory computations, not a distorted hand model.
I've noticed this too. For me, consciousness comes back online as a fairly rapid series of interpretations or judgments (~four per second?) of patterns (~100-1,000 per second?) that build on each other (cohere by logic; i.e. being copacetic over ~1s stringing).
You don't have
Anyone truly interested in consciousness should be aware of the rich traditions of "stream of consciousness" novels and poetry, including Marcel Proust, James Joyce, Gertrude Stein, and Virigina Woolf. It continues to influence arts today. Here is just a fragment from Proust's
“Conscious processing is the result of integration and broadcast by the global workspace, a cognitive architecture that has limited informational capacity, so that conscious experience is singular, unified, sequential, and carries only a small number of items at any given moment
This illusion can be quite like the 'frames of consciousness.' The discrete motionlessness of each new location step/wobble at about 10 Hz is very discontinuous or kiki as opposed to booba.
Hmm, cerebellum shows alignment with sleep spindles?? I like!
My whole thought on sleep spindles is that they are chaining a sequence of otherwise unrelated recent memories (semi-consciously, but missed to most) by a shared outline ring or frame shape (morphology, manifold, from
(1/6) Excited to share new work from lab that investigated sleep spindle oscillations in motor cortex (M1) & cerebellum (CB) longitudinally as rats learned a motor task – published in
#eNeuro
@SfNJournals
; first authors:
@draabbasi
& P.Fleischer
Interesting. Postural adjustments ('whole body kinetics') often factor into conscious attention (time-division access ~100-300 ms bin thrown in here and there), though most people do not pay meta-cognitive attention to that fact.
And here we see 'fire together wire together'
New work (preprint) with Wim Pouw,
@LaraBurchardt
, and Luc Selen on vocalization and biomechanical interactions with the whole body: "The human voice aligns with whole-body kinetics" 🗣️🙋♀️🙅♀️🙆♀️
preprint:
RMarkdown:
Sweet, here's a Fourier transform of cylinder, cube and sphere I did in 3D k-Space.
Music by Vincent Rubinetti
Download the music on Bandcamp:
Stream the music on Spotify:
@joodalooped
you are not prepared for my next move:
every basic lens is also an analog fourier transform device for 2d images
right at the focal point you get the actual mfkin fourier transform
This would even make sense with seeing short periods of phase-relations stability between movements or initiations of new phrase of speech as you talk.
Like if body is steady and variables of sweeper are steady, one would expect to see some repeating of eeg patterns and
1/n The best understood parts of thalamus link our skin, tongue, eyes, ears to cerebral cortex. What does the rest of thalamus do? Gordon Petty now shows that secondary “tactile” and “visual” thalamus respond better to important events than their own senses! (Image SG Kene) 🧵
8mg thc is a fairly low dose (relaxing level but not sedative I'd say which requires 40-100 mg).
Even at this low dose, they see some decrease in connectivity between a brain network and various regions, perhaps mostly a chopping of wires connecting front to back, as others have
Fascinating podcast on the perceptual 'self.'
Notes:
Parvisi/Deisseroth find a avatar physical sensation/acceleration-qualia node in PMC (anterior precuneus especially):
DMT/LSD/psilocin -> ego death (depersonalization?); ego death of higher i?
From the brain’s point of view, what is the self? How do 30 trillion cells come to feel like a single entity? Does the “self” of a blind person include the tip of her walking stick? How flexible is our sense of self? And what does any of this have to do with psychedelics, trauma,
Wow. Found a tremendous asset on CB1 density! Darker grey is higher concentration of CB1.
In summary, they found dlPFC, and layer 4 in particular, to be a very high-density area for CB1.
"Specifically, the highest densities of CB1-IR axons in the neocortex were present in
This PCA stuff is so hard to understand, but I guess takeaway is that eyes closed uses a lower-'dimensional' manifold than eyes open, thanks to V4 teaching V1 in eyes open.
The first time I saw rings, I thought I had an insight that 'eyes closed is bigger difference from eyes
Happy to share that our paper "Neural manifolds in V1 change with top-down signals from V4 targeting the foveal region" is now published in
@CellReports
, together with
@ac_kurth
@sachavanalbada
et al. 🧠🙈💫
Here is a summary of sedative state tests to-date, including frame rate, frame morphology, bank sightings, phenomenology notes, and EEG confirmation.
Below is 7 hours of EEG of the last test on this table:
Hour 1:
Hours 2–4:
Hours
Pulin Gong presentation.
0.01–0.1 Hz localized brain spirals. A spirals center tends to be centered on boundaries between brain regions.
The trajectories of spiral wave centers is very variable.
Specific rotation and location of spiral center for certain tasks.
Could
Very nice article, especially liked this bit that sounded close to what I call memory skewers and bank:
“1The bag’s neck was twisted around and around many multiples of times, winding up through my nose. This came unravelled very rapidly, at a rate of maybe five revolutions per
*Rhythmicity* is another factor to look at. How consistent or long-lasting is a frequency.
Also, with sub- or entire anesthesia, bursting is increased enough to measure *staccato vs legato*, which can preclude higher frequencies. Things that could be measured - frequency of the
I skimmed this book (Smellosophy), and it's actually pretty good, especially chapter 9 about wine tasters getting smell perception components from combos of two or three molecules together at some ratio and deducing exact wine. I think
@algekalipso
would find this book
Wow this is a good presentation, 4 attention heads. This is addressing the fine details of how the brain makes a worldsim.
(1) Clusters (I'm not familiar with this)
(2) Laser raster from top-down (not familiar)
(3) Colors leap off boundaries (yes)
(4) Blankets increase cluster
Just posted: thoughts on how the screen of consciousness emerges as a synergistic effect of four different attentional systems interacting with each other
Perfect visual metaphor for how attention builds your world simulation :-)
To a first approximation, you don't really have a sense of self. You have a lot of micro-fixation points that contract and stabilize features of your awareness.
It's always in flux, always being edited
Consciousness does seem to 'samepage' a multitude of neurons around a continuing narrative that has inertia of influencing the continuation.
It seems to take 0.1–1 seconds to initially propagate this 'samepage' property. Once started, the inertia of the story feeding back in
@cube_flipper
@drmichaellevin
Me too. I'd love to hear more how they think memory is encoded in the signal. Maybe it is encoding affordances or learned utility in some way.
Great update on bees.
*Just by seeing, bees understand the 3D shape of balls vs cubes (and vice versa, just by touching in dark they will know what to look for in light).
*Learn to pull strings or dunk balls to get rewards. Can learn single time by observation, and make
This
#WorldBeeDay
, explore the bee's mind, whose sensory experiences rival those of humans.
@LChittka
talks about the singular abilities of some of the world’s most incredible creatures. Watch below! 🐝🐝🐝
Excellent article. This basically explains the functionalism of consciousness; if you accept that the mechanical viewing and switching of behavior can be aware, it explains all at a high level (the running of the brain machine).
I like the functional approach. The 'hard problem'
Excellent article by
@MarkChurchland
. This time looking at why preparation of a motor reach triggers essentially no motor output. He proposes that often the motor cortex needs to send null or zero-change signal to certain unused or unchanged muscles. And preparation uses this
This wonderfully lucid review by
@MarkChurchland
and Krishna Shenoy explains how to think about motor control in terms of population-level factors and their dynamics. A must read.
Replication of phenomenology of global burst-mode.
Neural firing of RSP sub-video is taken from this paper: Deep posteromedial cortical rhythm in dissociation …
Excellent article! Appreciate the shout-outs, too.
Here's a few of my thoughts on the subject:
I feel like it doesn't really matter exactly what sampling rate the brain 'prints consciousness' upon itself and thereby samples from incoming info, except that it needs to be high
i decided to write something which lays everything i've got out on the table so i can step back and take a look at it; and so that everybody else can take a look too.
I am working towards a widget to create a really neat phase alignment video from your data. I used complex Morlet wavelet convolution on time-interpolated eeg (7-10 hz rings sedated state).
I want to see phase alignment between electrodes at 2 Hz, 7, 10, 15, 20, 30, 40 Hz
Fascinating.
I can stop my inner speech though quite easily and effectively.
And also, lots of things can be done internally, like inner-writing of your signature.
Doing things internally seems to just be a near-complete reduction in volume; or a near perpendicular rotation of
So in other words, the radar sweep would be something like alpha and maybe gamma eeg (LFP); but individual action potentials might help ensure that accuracy was maintained in the rallying unification.
It could be too that the radar unification is done not at such a low level as
I also tried my new Kasina strobe glasses set at 10 Hz, and observed this excellent telegraph in entire cortex eeg- the activity doesn't perfectly track the strobe, as there is a lot of 20 Hz beta going on, but phenomenally, I felt periods of fast rotation/revolution in visual
Nice video by
@MarkChurchland
. A billion motor cortex neurons, but motor cortex only sends ~a million axons down to a mere 50,000 motor units (and some inhibitory interneurons?). A motor unit is a motoneuron and the ~ten to ~hundred innervations it makes on a muscle group.
It's like a million neurons agree upon this exact ring shape, time, phase, orientation, location, scale in 3D modeling spacetime. Like the tracer goes around it over 100 ms.
I'm not sure calling it a dream helps.
But one thing I think that does help potentially join the mind-matter bridge is *meaning.*
Like, if you have matter arranged such that it checks light intensity over time and then the motor automata keeps going unless light intensity
Joscha Bach says physical systems like brains and computers cannot be conscious, because consciousness is a simulated property that only exists inside of a dream
This paper is all about laminar activity in LIP of marmosets surrounding a saccade to a target.
Basically, they argue upper layers do target recognition/content and lower layers track the saccade itself (context). In my diagram you can see that input comes to layer 4 of LIP 'way
You can identify the middle (input) layer of the cortex by locating the crossover between gamma and alpha/beta power. It's common in the cortex and likely has significant functional relevance.
Laminar Dynamics of Target Selection in the PPC
#neuroscience
Yes, enjoyed the long talk!
I'll try to get rings with those kasina glasses sometime soon while doing eeg and see if I notice anything. Nice thing is the glasses will tell you the frequency of the flashes.
Kind of interesting article, altho not sure I buy that background visual field is handled by low freq.
Suppose we have a rectangle flashing at 2 Hz. Perhaps the mechanism, perceptually, is up-down ramp at 2 Hz coupled with 50 Hz. Like the 2 Hz crest is the flash, but the 50 Hz
As I get closer to the speed limit sign, the angle between the light ray from the top of the sign and the light ray from the bottom of the post, this angle will increase and may even surpass the available 120–140° of vertical height available to my retina.
Hmm, this makes it sound like intelligence (expert system sequence logic), self-consciousness, and language are just forms of 'aping' others. I kinda like the idea, of course it raises the question, who or what perturbation originally set up this standing wave? Stoned ape theory
Both sensory input and the morphing of internal state (attention frames) are rendered by unconscious processes ('thrust upon us'), though the input of a special system (metacognition) can influence the future of sense by turning one's head or the future of frames by calling
@JohnGal43951639
Just a demonstration that pixels of visual field are light ray vector directions. Think ray tracing or a light field camera like Lytro ().