Coded Reality Hypothesis – Maya 20

The Coded Reality Hypothesis (Māyā) The Māyā framework proposes that physical reality is not a continuous material medium, but an emergent phenomenon arising from discrete information processing within a three-dimensional network of elementary execution units called planxels. In this view, spacetime, matter, energy, and interactions are not fundamental entities. They are emergent effects of local execution, synchronization, and information-exchange processes. The apparent continuity, smoothness, and isotropy of the observed world are macroscopic properties of this discrete substrate, not primitive features of reality. Planxels – elementary execution units Spacetime is composed of elementary units called planxels. Each planxel: has a spatial extent equal to the Planck length lp, performs exactly one local update per Planck time tP, stores a local complex informational amplitude σ (x, t), synchronizes its state with its 26 nearest neighbors (Moore neighborhood in 3D) during each update cycle. There is no global clock and no preferred reference frame. Time is defined locally as the number of completed execution cycles. Space is defined relationally as a record of synchronization relations between planxels. Macroscopic physics does not arise from fundamental differential equations, but from stable patterns of phase propagation, interference, and synchronization in σ (x, t). Fundamental evolution equation The entire dynamics of the Māyā framework is defined by a single local evolution equation governing the update of a planxel state: σ (x, t + tP) = σ (x, t) + (1 − ρeff (x, t) / ρmax) · α · (1/26) · Σₙeighbors (σ (x + rk, t) − σ (x, t) ) + η (x, t) + I (σ, σdet, x, t) This equation is the unique fundamental law of the theory. All known physical structures emerge as effective limits of this discrete dynamics. Meaning of the individual terms σ (x, t) Local complex informational state of a planxel. |σ|² represents local information density, while the phase encodes synchronization state. In the effective description, σ corresponds to the quantum wavefunction. lp and tPPlanck length and Planck time define the elementary spatial resolution and minimal execution cycle. Time is not a global parameter but a count of completed local updates. ρeff (x, t) Effective local information density defined by the activity of neighboring planxels: ρeff = (Σₙeighbors |σ (x + rk, t) |²) · mP / lp³It measures the local computational load associated with phase synchronization. ρmaxMaximum admissible information density: ρmax = mP / lp³Approaching this limit strongly suppresses local evolution. Γ = 1 − ρeff / ρmaxNonlinear overload regulator controlling the local execution rate. It is responsible for emergent mass, nonlinear quantum dynamics, relativistic effects, and gravitational phenomena. α ≈ 1 / 137. 035999206Fine-structure constant interpreted as an optimal phase-synchronization parameter of the planxel network. It determines the scale of stable atomic structures and effective masses of informational patterns. 26-neighbor couplingAveraging over the full 3D Moore neighborhood ensures isotropy in the macroscopic limit. η (x, t) Complex stochastic fluctuation term with zero mean, present in every update cycle, including vacuum regions. It accounts for fundamental quantum randomness and measurement statistics. I (σ, σdet, x, t) Nonlinear interaction and synchronization term describing physical information exchange between systems. It encodes measurement, decoherence, and collapse as active synchronization processes, not as halting of dynamics. Physical constants as architectural descriptors In the Māyā framework, physical constants are not fundamental laws of nature. They describe operational properties of the underlying informational architecture. When rewritten in Planck units, dimensional constants reduce to identities: c = lp / tPℏ = Ep · tPG = lp³ / (ℏ · tP²) Thus, these constants arise from local spatial resolution and finite synchronization capacity, not from independent postulates. Fine-structure constant as an emergent geometric quantity The fine-structure constant α is dimensionless and not tuned by hand. It emerges as a geometric and combinatorial property of a discrete three-dimensional cubic lattice with 26-neighbor synchronization. The inverse value α⁻¹ follows from the requirement of statistically isotropic and coherent information propagation in an intrinsically anisotropic lattice. The leading contribution arises from optimal ergodic spherical coverage using golden-angle rotations: α0⁻¹ = 360 / φ²where φ = (1 + sqrt (5) ) / 2 Discrete-geometry corrections yield: α⁻¹ = 360/φ² − 2/φ³ + 1/ (3⁵·φ⁵) + 7/ (3¹²·φ¹²) Numerically: α⁻¹ = 137. 035999205672… in agreement with the CODATA 2022 value withinΔ = −3. 28 × 10⁻¹⁰, well below current experimental uncertainty. Temporal structure and absence of gravity in the quantum regime Time in the Māyā framework is not a fundamental dimension. It is defined operationally as the number of completed local execution cycles. The overload regulator Γ locally rescales the execution rate, leading to the definition of proper time: dτ = Γ · dt In the quantum regime, where ρeff ≪ ρmax, the regulator Γ is spatially uniform. As a consequence: all local degrees of freedom execute cycles at the same rate, no spatial gradients of proper time exist, no local geodesic structure can form, no local gravitational effects appear. This explains why gravity does not influence local quantum dynamics and why quantum processes proceed identically in vacuum and in a homogeneous gravitational field. Gravity arises only when comparing extended regions with different average execution rates — it is a macroscopic relational effect, not a local force acting on quantum states. Emergent gravity and Einstein field equations Within the Māyā framework, gravity is not postulated as a fundamental interaction. It emerges from local limitations on information processing in the planxel network. From the fundamental evolution equation one obtains: relativistic time dilation as slowed execution cycles, Newtonian gravitational potential as relative computational overload, the Poisson equation ∇²Φ = 4πGρ with G emerging from Planck-scale architecture, the Schwarzschild metric as a consistency condition of 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 encodes gradients in local execution rates. Newton’s constant G is an emergent architectural parameter, with corrections suppressed by powers of α. Summary The Coded Reality Hypothesis (Māyā) formulates physical reality as a discrete execution process rather than a fundamentally continuous spacetime populated by elementary objects. From a single local evolution equation defined on a three-dimensional planxel lattice, 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 Einstein field equations as macroscopic limits of the same dynamics. In the Māyā framework, physical constants are operational descriptors of the execution substrate, not independent laws of nature. Quantum mechanics and gravity are not competing theories — they are different regimes of the same underlying process. Reality, in the Māyā model, does not simply exist — it is continuously executed.