ark said:What would be the simplest, but nontrivial structure of a monad?
Bluelamp said:Approaching Infinity said:Jerry said:If we‘re to determine the most fundamental unit of space (monad) then it follows that it would be the simplest form which if reduced or divided would no longer define any space.
At first it seems that this reduction would lead us to consider a point, but isn’t a point dimension-less thereby not satisfying the condition? Unless location is enough to allow demarcation.
Maybe a monad would be the least amount of points (locations) that would allow a defined space?
That was my first thought, but then again, I am totally out of my league when it comes to these concepts. 0 and 1 did bring to mind matter and anti-matter, however, or particles and anti-particles. Can particles be said to code for information? And if so, is there any 'simpler' structure that can be said to do so?
There are certainly models like Feynman checkerboards with points spaced say the Planck length apart and these vertex points would have Spinor information that specifies matter/antimatter and which quark/electron/neutrino. The spinor information is a matrix and is kind of the square of what you'd think the minimum information would be; the extra information is kind of for quantum purposes I think. Links coming out from a vertex point would have Adjoint information specifying types of force particles (photon,weak boson,gluon, graviton).
dant said:Updated: http://cassiopaea.org/forum/index.php/topic,27044.msg329839.html#msg329839
Interesting paper: "A.Connes: Advice to the beginner"
_http://www.alainconnes.org/docs/Companion.pdf
Bluelamp said:Classical isn't bad. Einstein is a great starting point. The idea is to merge classical and quantum.
Buddy said:I seem to be having difficulty expressing my meanings clearly.
As far as I can tell, 'Classical' already lies in state (in more ways than one) as an "island of truth" in quantum reality with limited usefulness in limited contexts. As dominant mode of thought, today, at any scale or on any level, Classicism refuses to submit to the Law (of change) and I feel it to be responsible for much ignorance, suffering and death. Despite possible appearances to the contrary in our societies today, as the dominant mode of thought, I see it as spoiling everything it touches outside the realm of electronic and mechanical technology - dying, not growing.
ark said:...It sounds almost unintelligible, but I think I will be able to explain the main idea in simple terms.
every physical quantity, every it, derives its ultimate significance from bits, binary yes-or-no indications
Richard said:At this stage it's looking like a monad would be 0 1, on off, yes no. A hologram is a 3D representation from a 2D structure. Like on a credit card. The possibilities seem endless.
Gerard t' Hooft says, 'One must conclude that a two-dimensional surface can contain all information concerning an entire three-space. In fact, this should hold for any two-surface that ranges to infinity. The situation can be compared with a hologram of a three dimensional image on a two-dimensional surface.' This leads us to the 'screen theory' in modern physics. The 'screen theory' might describe a screen as something like a quantum computer, with one bit of memory for each pixel - each pixel being two Planck lengths on each side. Physicist Lee Smolin says that if we assume that there are no things but only processes, only screens exist.
Lee Smolin summarizes: 'All that exists in the world are screens, on which the world is represented.'
J R Minkel (a Science Reporter) adds: 'You're holding a magazine. It feels solid; it seems to have some kind of independent existence in space. Ditto the objects around you-perhaps a cup of coffee, a computer. They all seem real and out there somewhere. But it's all an illusion. Those supposedly solid objects are mere projections emanating from a shifting kaleidoscopic pattern living on the boundary of our Universe. The world is a hologram.'