Project page - Instytut-ISKRAFacebook - https: //www. facebook. com/instytut. iskra The Coded Reality Hypothesis (Māyā) The Māyā model assumes that physical reality is not a continuous material medium, but an emergent phenomenon arising from discrete information processing within a three-dimensional lattice of planxels. In this view, spacetime, matter, energy, and interactions are not primordial entities. They are emergent effects of local execution and synchronization processes. The apparent continuity and isotropy of the observed world are macroscopic properties, not fundamental ones. Planxel – the elementary execution unit Spacetime is composed of elementary units called planxels. Each planxel has a spatial extent equal to the Planck length lp, performs exactly one update cycle in its local Planck time tp, stores a local complex informational amplitude sigma (x, t), and synchronizes its state with its 26 immediate neighbors during each update cycle. There is no global clock and no preferred reference frame. Time is a local, relational quantity defined by the number of closed synchronization cycles. Space is a record of synchronization relations between planxels. Macroscopic physics does not arise from fundamental differential equations, but from stable patterns of phase propagation and interference in sigma (x, t). Physical constants as architectural descriptors In the Māyā framework, physical constants such as the speed of light c, Planck’s constant ħ, Newton’s constant G, and the fine-structure constant α are not fundamental laws of nature. They describe operational properties of the underlying informational architecture. When physical equations are rewritten in Planck units, dimensional constants reduce to identities: c = lp / tpħ = Ep * tpG = lp³ / (ħ * tp²) This means that these constants are macroscopic consequences of local spatial resolution and finite synchronization capacity. The fine-structure constant α as an emergent geometric quantity The fine-structure constant α is dimensionless and is neither postulated nor tuned. In the Māyā model it emerges as a geometric and combinatorial property of a discrete three-dimensional Z³ lattice with Moore-type local synchronization involving 26 neighbors. The inverse of α, denoted alphaᵢnverse, follows from the requirement of statistically isotropic and coherent information propagation in an intrinsically anisotropic cubic geometry. The leading contribution comes from optimal ergodic spherical coverage using rotations by the golden angle, which maximally disperse directional correlations: alpha0ᵢnverse = 360 / φ² where φ = (1 + sqrt (5) ) / 2. Subsequent corrections arise from unavoidable effects of discrete geometry: axial anisotropy of the cubic lattice, minimal phase fluctuations within a stable 3×3×3 synchronization block, and the emergence of long-range quasi-crystalline structure. The full expression takes the single-line form: alphaᵢnverse = 360/φ² − 2/φ³ + 1/ (3⁵·φ⁵) + 7/ (3¹2·φ¹2) which yields the numerical value: alphaᵢnverse = 137. 035999205672… in agreement with the CODATA 2022 value with an accuracy of: Delta = −3. 28 × 10^−10 well below current experimental uncertainty. The physical meaning of the number 137 The planxel lattice is inherently anisotropic and possesses distinguished axes. For such a structure to generate a world observed as isotropic and continuous, a mechanism for dynamically suppressing lattice artifacts is required. The constant α, or more precisely its inverse near 137, specifies the minimal synchronization cost and the number of local iterations required to hide cubic anisotropy without destroying physical structure. It is the direct analogue of anti-aliasing and supersampling parameters in modern 3D rendering technologies. A discrete computational grid can produce a smooth, isotropic image only if the sampling depth and iteration count are sufficient to suppress directional correlations. In the Māyā framework, a value close to 137 emerges as the minimal and sufficient condition to conceal discreteness while preserving atomic stability and long-range phase coherence. Emergent gravity and derivation of the Einstein field equations Within the Māyā framework, gravity is not postulated as a fundamental force nor as a primitive physical interaction. It is a macroscopic consequence of the dynamics of a discrete planxel network, arising from local limitations on the rate of information processing. The starting point is the fundamental discrete evolution equation of a planxel, which contains a nonlinear overload regulator dependent on the local effective information density ρeffρeff. From this microscopic dynamics one obtains, in a direct and unambiguous manner: – relativistic time dilation as a consequence of locally slowed state-update cycles of planxels, – the Newtonian gravitational potential as a measure of relative computational overload within the network, – the Poisson equation ∇2Φ=4πGρ∇2Φ=4πGρ, with Newton’s constant GG emerging from Planck-scale architectural parameters of the lattice, – the Schwarzschild metric as a consistency condition imposed by the locally invariant propagation speed of synchronization correlations, – and finally the full Einstein field equations as effective hydrodynamic relations required by local conservation laws and the Bianchi identity. In this formulation, spacetime geometry is not assumed a priori. The metric tensor arises as a macroscopic encoding of gradients in local execution rates within the discrete informational substrate. The gravitational constant GG is not an externally imposed parameter but an emergent quantity determined by the architecture of the planxel network, with only subleading corrections suppressed by powers of the fine-structure constant αα. This provides a complete physical derivation of general relativity from the first principles of the Māyā model, placing gravity, spacetime curvature, and relativistic dynamics on the same informational footing as quantum phenomena, without introducing additional fundamental entities. Summary The Coded Reality Hypothesis (Māyā) formulates physical reality as a discrete execution process rather than a fundamentally continuous spacetime populated by elementary objects. Starting from a local, Planck-scale evolution equation defined on a three-dimensional lattice of planxels, spacetime geometry, relativistic dynamics, and gravitational phenomena are shown to emerge without being postulated. In this framework, Newtonian gravity, the Schwarzschild solution, and the full Einstein field equations arise as macroscopic consequences of locally constrained information processing and synchronization, with Newton’s constant GG emerging from the architecture of the lattice itself. Physical constants are therefore interpreted as operational parameters of the underlying execution substrate rather than independent laws of nature. The fine-structure constant αα appears as a geometric stability coefficient governing isotropic phase propagation in an intrinsically anisotropic discrete geometry, playing a role analogous to anti-aliasing in computational rendering. Māyā thus provides a unified, non-circular derivation of spacetime curvature, gravity, and relativistic dynamics from first principles, placing gravity and geometry on the same informational footing as quantum phenomena.
Czarnocki et al. (Tue,) studied this question.