Toroids mesmerise my orientation towards neuroscience... an amazing field holding key vantage links — and open up an infinitely rich tapestry into vital manifolds for 'Attractors'.
Interactive torus — colorful wireframe with orbiting particles
Literature is abuzz with information dance on never-ending, no limits — the tarpaulins, as if it is lining an inner surface boundary of black holes.
Its memory records, abstract possibilities, rich in spatial-temporal-tensor-tags play to rewind (Past) or extrapolate (Future), relating to present.
Consciousness is the only comprehensible spotlight that is available to our perceptions. We try to unravel these complex concepts by crawling along "grids".
Colorful Torus — hexagonal grid columns in spiral wraps
II
Grids and Action Potentials
Virtual Grids · Neuronal Tug of War · Balanced Potentials
But again, these virtual grids in discussion are the balanced state of opposing neuronal action-potentials. In neural nets always a tug of war is perpetually on between positively charged against negatively charged potentials / field, (here lies our interneuronal dominance).
Grid structure is created, and their virtual maintained existence is all-through supported by neuronal action-potentials.
In any nascent neural net this dynamic play of potential balanced boundary finally settles for grid structure of "hexagonal" properties.
Aim of maturing of neural nets in brain circuits is always to seek a balanced circuit in hexagonal relations. The anatomical locations of these "six" neuronal nodes are never geometric or, as conventional shapes we understand.
But neuronal grids in hexagonal relationships are actually in terms of electrical potentials, irrespective of anatomical locations and properties.
Hexagonal torus — tiles covering the toroidal surface
IV
Grid Manifolds and Memory
Foetal Cortical Activity · Toroidal Surfaces · Golden Spiral Ratio
Since the very initial cortical electrical activity generation while in early creation — foetal age, first activity mostly in network formation revolves around finding ways to weave this grid manifolds.
Actual play of building up complex behaviors require memory use. And, manifolds wrapped up into toroidal virtual surfaces provide unlimited potentials for memory storage. Hexagonal matrix on surface as spirals — almost at golden spiral ratio — offer a never ending-story!!
Hexagonal grid torus — spiral wrapping lines with pulsing illumination
V
Evolution as Conductor
Unlimited Memory · Speed of Abstraction · Directing Intelligence
Here is what becomes even more fascinating: unlimited memory potential space is just now waiting for a system more and more efficient, in speed of creation, of weaved concepts with more and more abstracted in space and time.
This is actually "Evolution" filling in role of "conductor" directing brain capacity for better and even better intelligence.
VI
Artificial Intelligence Parallel
Exponential Growth · Processing Power · Memory Loops
After all, this is what we see now in exploding, exponential growth of artificial intelligence!
What is required for its rapid emergence?
Answer would present itself in powerful processing and unending memory loops and storage.
(Of course, AI requires a higher energy cost consumption against our organic brains.)