A Theory of Pixelated Spacetime and of Reality as a Quasicrystalline Point Space
Projected From the E8 Crystal
For a written and video overview in layperson terms, please click here.
Quantum Gravity Research is working on a graph-theoretic approach to quantum gravity and particle physics operated on a graph-drawing space – a moduli-space type point space called a quasicrystalline “possibility space.”
A quasicrystal is a projection of a higher dimensional crystal slice to a lower dimension via an irrational angle. Sequential projections of different translations or rotations of the projection window generate phason dynamic quasiparticle interaction patterns in the graph-drawing space – the projective space. Because standard models of particle physics gauge symmetry unification equations map to the root vectors of higher dimensional Lie algebras and their associated Lie lattices, we use the largest exceptional Lie group, E8, as our hyper-lattice/algebra (hyper-crystal). Using non-crystallographic Coxeter-Dynkin diagram folding matrices, we can map our quasicrystal dynamics to physically realistic gauge symmetry equations of the standard model. Gravity is quantized and explained in our framework in a novel way.
Quasicrystalline dynamic codes are inherently (via first principles) non-local and non-deterministic. Accordingly, what we are targeting is a non-local and non-deterministic quantum mechanical hidden variables theory explicitly allowed by Bell’s theorem. That is, subquantum mechanics that explains both particle physics and quantum gravity. The approach is a novel synthesis of four cross-disciplines: (1) graph theoretic quantum gravity and particle physics, (2) code theory, (3) information theory and (4) code-theoretic quantum thermodynamics. Because our graph theory is non-arbitrary and non-invented, due to the geometric first principles of projective transformations of Lie lattices, it is a model that seeks something very different than ordinary unification physics. Ordinary unification models, such as the standard model of particle physics, seek to show the gauge symmetry relationships between fundamental particles and forces. They do not explain the first principles origin of the empirically observed approximate values being unified. For example, the standard model has 20 free-parameters that are plugged and not explained by the model itself. Indeed, this is the case for all physical models, from general relativity to quantum mechanics. A geometric first principles code theoretic approach, such as emergence theory, is an attempt to derive exact analytical expressions of the fundamental constants, such as Planck’s constant and the gravitational constant, from first principles. Gauge symmetry relations would be a logical product of such derivations.
Today, no one knows the actual values of the fundamental constants. For example, we only know Planck’s constant to the fourth place after the decimal (CODATA values average six experimental protocols that disagree after the 4th decimal place). So, of course, there is no precise analytical expression known. A predictive geometric first principles unification of the standard model and gravity would, in some sense, be the ultimate unification theory of physics. Clearly, this is a daunting challenge – a challenge no other group is working on (perhaps some individuals may be thinking along these lines). However, daunting or not, it may be the case that nature uses an exceedingly simple quantum gravity code at the Planck scale. If this is true, we believe that an efficiency principle will be involved, wherein one can analyze the space of possible codes via the lens of code theory, wherein one aspect of code theory seeks to categorize codes according to their computational efficiency, which is the ratio of symbolic load to simulation output or symbol to meaning ratio. The mathematical thinking of such an approach leads to reductions of vast quantities of codes that are local and/or inefficient in terms of symbolic load to physical meaning ratio. For reasons beyond the scope of this brief overview, phason dynamic quasicrystalline codes seem to be maximally efficient in the universe of all codes.
Our various published works will provide more detail on the various aspects of our work. There is also a regularly growing library of video presentations on our Youtube channel to which we invite you to subscribe so that you may be updated whenever a new video is uploaded.