Coded Reality Hypothesis – Maya 15

The Coded Reality Hypothesis (Māyā) proposes that physical reality is not a continuous material medium but an emergent phenomenon arising from discrete information processing within a three-dimensional planxel lattice. In this framework spacetime consists of elementary units — planxels — each of which: • has spatial extent equal to the Planck length lp,• updates its internal state in discrete ticks of the Planck time tp,• stores a local complex amplitude sigma(x,t),• synchronizes with its 26 neighbors in every update cycle (the 3D Moore neighborhood). Macroscopic physics emerges not from fundamental dynamical laws, but from stable patterns of synchronization, phase propagation and interference of the informational field sigma(x,t). Continuity, fields, particles and interactions are emergent large-scale manifestations of these microscopic update rules. Physical constants as architectural descriptors A central implication of the Māyā framework is that traditional physical constants, • speed of light: c• Planck constant: hbar• Newton’s constant: G• gauge couplings: alpha, g, g_s are not fundamental.They encode operational properties of the informational architecture. When expressed in Planck units, the constants reduce to the following identities: c = lp / tphbar = Ep * tpG = lp^3 / (hbar * tp^2) These show that the constants are macroscopic shadows of the computational structure defined by lp and tp. Rewriting the equations of physics in pure Planck units removes the constants entirely, exposing the underlying discrete dynamics. Emergence of gauge couplings The planxel lattice naturally supports informational channels with symmetry: • U(1): one coherent phase channel• SU(2): four spinor-like channels (cubic opposite corners)• SU(3): three interwoven FCC sublattices with effective coherence ≈ 2.5 Gauge couplings arise from informational impedances: 1/alpha = Xi_U(1)g^2 = 4*pi / Xi_SU(2)g_s^2 = 4*pi / Xi_SU(3) These match Standard Model couplings at low energy without parameter fitting.They follow from geometry and coherence properties of the lattice. Fine-structure constant from a variational principle The fine-structure constant emerges from a variational stability principle balancing: • efficient wave propagation,• suppression of cubic anisotropy (l = 4),• minimization of geometric fluctuations eta. The extremum corresponds to a propagation angle: theta_eff ≈ 137.036 degrees The emergent informational impedance takes the form: Xi(theta_eff) = 360/phi^2 - 2/phi^3 + 1/(35 * phi^5) with: 35 = 3^5 = 243 representing a fifth-order geometric correction typical of 3D discrete networks. This gives the model prediction: alpha_Maya^{-1} ≈ 137.03599916476536679 in agreement with the low-energy CODATA value. Emergent quantum behavior and gravity Quantum behavior arises from discrete phase updates of sigma(x,t), with eta-terms encoding microscopic fluctuations. Classical behavior arises from stable synchronization patterns. Gravity emerges from informational dilation, i.e. spatial variation in the effective update rhythm: tp → tp_eff(x) Local delays in synchronization appear macroscopically as curvature.This is a fully local, intrinsically quantum mechanism requiring no independent gravitational field. Unification and resolution of paradoxes The Māyā framework unifies geometry, information and dynamics within a single discrete substrate.It also resolves several longstanding conceptual issues: • no singularities (update saturation replaces divergences)• no measurement problem (sigma is informational, not probabilistic)• locality compatible with quantum behavior• time emerges from synchronization• energy = phase-update rate• mass = resistance to synchronization change Summary The Coded Reality Hypothesis (Māyā) provides a unified, discrete, information-theoretic foundation for physics.All known laws emerge from the propagation and synchronization of a single complex field sigma(x,t) defined on a lattice of Planck-scale processors. Physical constants describe the properties of this computational architecture rather than fundamental parameters. Electromagnetism, quantum phenomena and gravity arise from the same microscopic update process.The model reproduces the fine-structure constant and gauge couplings without parameter tuning, indicating that the apparent continuity of physics is the macroscopic limit of a deeper computational substrate.