Coded Reality Hypothesis – Maya 21

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 lpl_plp, performs exactly one update cycle in its local Planck time tpt_ptp, stores a local complex informational amplitude σ(x,t)\sigma(x,t)σ(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 completed 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 σ(x,t)\sigma(x,t)σ(x,t). Physical constants as architectural descriptors In the Māyā framework, physical constants such as the speed of light ccc, Planck’s constant ℏ\hbarℏ, Newton’s constant GGG, and the fine-structure constant α\alphaα 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=lptpc = \frac{l_p}{t_p}c=tplp ℏ=Ep⋅tp\hbar = E_p \cdot t_pℏ=Ep⋅tp G=lp3ℏ tp2G = \frac{l_p^3}{\hbar\, t_p^2}G=ℏtp2lp3 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\alphaα 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\mathbb{Z}^3Z3 lattice with Moore-type local synchronization involving 26 neighbors. The inverse of α\alphaα, denoted α−1\alpha^{-1}α−1, 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: α0−1=360φ2whereφ=1+52\alpha^{-1}_0 = \frac{360}{\varphi^2} \quad\text{where}\quad \varphi = \frac{1+\sqrt{5}}{2}α0−1=φ2360whereφ=21+5 Subsequent corrections arise from unavoidable effects of discrete geometry: axial anisotropy of the cubic lattice, minimal phase fluctuations within a stable 3×3×33\times3\times33×3×3 synchronization block, and the emergence of long-range quasi-crystalline structure. The full expression takes the single-line form: α−1=360φ2−2φ3+135φ5+7312φ12\alpha^{-1} = \frac{360}{\varphi^2} - \frac{2}{\varphi^3} + \frac{1}{3^5\varphi^5} + \frac{7}{3^{12}\varphi^{12}}α−1=φ2360−φ32+35φ51+312φ127 which yields: α−1=137.035999205672…\alpha^{-1} = 137.035999205672\ldotsα−1=137.035999205672… in agreement with the CODATA 2022 value with an accuracy Δ=−3.28×10−10\Delta = -3.28 \times 10^{-10}Δ=−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\alphaα, 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. Temporal structure and the absence of gravity in local quantum phenomena ⬅︎ NOWA SEKCJA Within the Māyā framework, time is not a fundamental dimension, nor a universal background parameter. Time is defined operationally as the number of completed local execution cycles of planxels. A single execution cycle has no intrinsic duration; duration emerges only through counting closed synchronization cycles. The fundamental evolution equation contains a nonlinear overload regulator Γ=1−ρeff/ρmax\Gamma = 1 - \rho_{\text{eff}}/\rho_{\text{max}}Γ=1−ρeff/ρmax, which locally scales the rate at which execution cycles are completed. This leads to an operational definition of local proper time: dτ=Γ dtd\tau = \Gamma\, dtdτ=Γdt In the quantum regime, where the effective information density satisfies ρeff≪ρmax\rho_{\text{eff}} \ll \rho_{\text{max}}ρeff≪ρmax, the regulator Γ\GammaΓ is spatially uniform. As a consequence: all local degrees of freedom complete the same number of execution cycles, there are no spatial gradients of proper time, no geodesic structure can form locally, and no local gravitational effects can appear. This explains, from first principles, why gravity does not affect local quantum dynamics and why quantum processes proceed identically in vacuum and in a homogeneous gravitational field. Local quantum evolution depends only on the ordering of execution cycles, not on their absolute rate relative to distant regions. Gravitational phenomena arise only when comparing extended regions of the network with different average execution rates. In other words, gravity is not a local force acting on quantum states, but a macroscopic relational effect emerging from accumulated differences in cycle counts across space. 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. Starting from the fundamental discrete evolution equation, one obtains: – relativistic time dilation as a consequence of locally slowed state-update cycles,– the Newtonian gravitational potential as a measure of relative computational overload,– the Poisson equation ∇2Φ=4πGρ\nabla^2\Phi = 4\pi G\rho∇2Φ=4πGρ with GGG emerging from Planck-scale architecture,– the Schwarzschild metric as a consistency condition imposed by invariant synchronization speed,– and finally the full Einstein field equations as effective hydrodynamic relations. Spacetime geometry is therefore not assumed a priori. The metric tensor is a macroscopic encoding of gradients in local execution rates within the informational substrate. Newton’s constant GGG is an emergent architectural parameter, with corrections suppressed by powers of α\alphaα. Summary The Coded Reality Hypothesis (Māyā) formulates physical reality as a discrete execution process, not as a fundamentally continuous spacetime populated by elementary objects. Starting from a single local evolution equation defined on a three-dimensional lattice of planxels, the theory provides a unified, non-circular derivation of: – quantum mechanics as a synchronization protocol,– time as a count of completed execution cycles,– the absence of gravity in local quantum phenomena,– spacetime geometry as an emergent relational structure,– Newtonian gravity and the Einstein field equations as macroscopic limits of the same dynamics. In this framework, physical constants are operational descriptors of the execution substrate, not independent laws of nature. Gravity and quantum mechanics are not competing theories but different regimes of the same underlying process. Reality, in the Māyā model, does not simply exist —it is continuously executed.