Hypothetically, the root pattern of the universe relies adimensionally on 3 to emerge the universe itself. 3D emergent is the lowest-energy expression of the complete form of the universe, where it becomes conceptually one.
However, the function requires 4D to manifest at all, where 4D = 3D +1. What a peculiar coincidence. 1D and 2D are real symbols and primordial relics, precursors to 3D +1, and beyond into the xD potential vacuum, and even adimensionally into the potentiate 0D,1D void. We're just reveling in apocalypse, aren't we? On Thu, 26 Mar 2026, 19:13 Matt Mahoney, <[email protected]> wrote: > Why does space have 3 dimensions? 3 is the minimum number of dimensions in > which a graph (such as a communication network) can be fully connected > without intersecting edges. It is the only number of dimensions in which > knots are possible. A 1975 paper by Li and Yorke showed that any dynamic > system with a cycle of length 3 must have all possible cycle lengths and > also be chaotic. > > So perhaps you need 3 dimensions for complex behavior. But 1 dimensional > cellular automata and Turing machines can also exhibit complex behavior. > Just not as efficiently. If the universe is a simulation, or part of a > multiverse, then the number of dimensions we observe tells us nothing about > the number of dimensions in the universe doing the simulation. > > -- Matt Mahoney, [email protected] > > On Thu, Mar 26, 2026, 2:01 AM Quan Tesla <[email protected]> wrote: > >> James, your intuition is correct abd also not. For starters, the SM >> couldn't yet mathematically explain the dimensionality of time. That's an >> arbitrary hole that needs plugging, especially with real quantum memory and >> addressing concepts, such as the quantum eraser and retrocausility. >> >> These are critical data/information management horizons to cross for >> activating dimensionless potential. >> >> Within the theoretical specification of the proposed entangled E8xE8, >> lattice (as 248D), data storage limitations would only be arbitrarily >> imposed via the constraints of 4D architectures. This is synonymous to a >> supersonic jet that pilots choose to drive on the limiting road structure >> from points A to B. >> >> However, based on reliable theory, the value of 3 is also an auto-elected >> limit by nature. >> >> We should temper our intuiton with the certainty that both the SM and QM >> model are incomplete. >> >> There's much work still to be done. >> >> On Thu, 26 Mar 2026, 01:45 James Bowery, <[email protected]> wrote: >> >>> There is quite a lot of work in "information physics" that indicates 3 >>> dimensions aren't arbitrary. One aphorism I've run across is for a >>> sufficiently large space, the maximum global dimensionality of a discrete >>> and finite space with a homogeneous distance function is three. >>> >>> When I say "I suspect" I'm not making much of a claim let alone a >>> conjecture that could be "even wrong". It's more about my intuition from >>> working with some of the founders of the Alternative Natural Philosophy >>> Association that the dimensionless constants of nature arise from an >>> inevitable combinatorial explosion given certain very simple and plausible >>> assumptions about distinguishability that were originally derived within >>> the Cambridge Language Research Unit subsequent to WW II. >>> >>> I'll just say that the number "3" is not arbitrary from that standpoint, >>> nor is its connection to language. >>> >>> >>> >>> On Mon, Mar 23, 2026 at 3:29 PM Matt Mahoney <[email protected]> >>> wrote: >>> >>>> >>>> On Mon, Mar 23, 2026, 1:54 PM James Bowery <[email protected]> wrote: >>>> >>>>> >>>>> >>>>> On Sat, Mar 21, 2026 at 12:28 PM Matt Mahoney <[email protected]> >>>>> wrote: >>>>> >>>>>> ... >>>>>> >>>>>> There's something I'm not getting. Why does the brain need 10^15 >>>>>> synapses to store 10^9 bits? Maybe it's a speed optimization, like how >>>>>> a server farm has a million copies of Linux, or your body has 10^13 >>>>>> copies of your DNA. Or is it something else? Is it the reason we >>>>>> didn't solve AI in 2000? >>>>>> >>>>> >>>>> I suspect it has to do with Bekenstein bound placing data points in >>>>> such a high dimensional space that they are all on a surface where they >>>>> can >>>>> be treated as orthogonal. >>>>> >>>> >>>> How is that so? I realize that random bit vectors all have an average >>>> Hamming distance of n/2, which puts them all on a hypersphere surface >>>> surrounding any one of them. But word vectors are not like that. Some are >>>> more correlated than others. They would have to be, because otherwise text >>>> would not be predictable and we wouldn't have AI. >>>> >>>> I realize that other parts of the brain are highly repetitive, like >>>> thousands of copies of line and edge detectors in the visual cortex, or >>>> thousands of motor neurons controlling the same muscle. Language evolved >>>> relatively recently and there is not a lot of evolutionary pressure to >>>> optimize it. It uses maybe 10% of our brain, or 2% of resting metabolism. >>>> >>>> The Bekenstein bound is different. Space only has 3 dimensions. It >>>> might explain the size of the proton* but I don't see how it explains >>>> language. We already have LLMs that are not far off the 0.3 bits per >>>> parameter stored in a Hopfield net. >>>> >>>> * The Bekenstein bound of the Hubble radius is A/ln(16) of its surface >>>> area in Planck units, or 2.95 x 10^122 bits. This is about the number of >>>> protons or neutrons that would fit inside, which is a strange coincidence >>>> given that the number depends only on h, G, c, and the age of the universe. >>>> >>>>> *Artificial General Intelligence List > <https://agi.topicbox.com/latest>* / AGI / see discussions > <https://agi.topicbox.com/groups/agi> + participants > <https://agi.topicbox.com/groups/agi/members> + delivery options > <https://agi.topicbox.com/groups/agi/subscription> Permalink > <https://agi.topicbox.com/groups/agi/Tc9fe35df94409188-M0e434bc085cabc98d07dcede> > ------------------------------------------ Artificial General Intelligence List: AGI Permalink: https://agi.topicbox.com/groups/agi/Tc9fe35df94409188-M9d975647006163ba9130138f Delivery options: https://agi.topicbox.com/groups/agi/subscription
