Coded Reality Hypothesis – Maya 28

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 l_P, performs exactly one local update per Planck time t_P, stores a local complex informational amplitude σ(x,t), and synchronizes its state with its 26 nearest neighbors (the 3D Moore neighborhood) 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+t_P) = σ(x,t) + (1 − ρ_eff(x,t)/ρ_max) · [α · (1/26) · Σ_neighbors (σ(x+r_k, t) − σ(x,t)) + η(x,t)] + I(σ, σ_det, x, t) 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. l_P and t_P: Define the elementary spatial resolution and minimal execution cycle. ρ_eff(x,t): Effective local information density defined by the activity of neighboring planxels; measures local computational load. ρ_max = m_P / l_P³: Maximum admissible information density. Γ = 1 − ρ_eff/ρ_max: Nonlinear overload regulator controlling the local execution rate; responsible for emergent mass, relativistic effects, and gravity. α ≈ 1/137.035999206: Fine-structure constant, interpreted as an optimal phase-synchronization parameter. η(x,t): Stochastic fluctuation term accounting for fundamental quantum randomness. I(σ, σ_det, x, t): Nonlinear interaction term describing measurement, decoherence, and collapse as active synchronization processes. Physical Constants as Architectural Descriptors In the Māyā framework, physical constants are not fundamental laws but operational properties of the underlying informational architecture. When rewritten in Planck units, dimensional constants reduce to identities: c = l_P/t_P, ħ = E_P · t_P, G = c² l_P / (2 m_P) · [1 + O(α)]. These constants arise from local spatial resolution and finite synchronization capacity, not from independent postulates. The Fine-Structure Constant as an Emergent Geometric Quantity The fine-structure constant α is not a free parameter but emerges from the geometry of the cubic Z³ lattice. In Planck units, α = e²/(4π), which is structurally identical to a normalized weight in Monte Carlo sampling (texel weight) used in computer graphics to ensure isotropic rendering. The inverse value α⁻¹ follows from optimal spherical coverage and symmetry corrections: α⁻¹ = 360/φ² − 2/φ³ + 1/(3^5 · φ^5) + 7/(3^12 · φ^12) where φ = (1+√5)/2 is the golden ratio. Numerically, α⁻¹ = 137.035999205672…, in agreement with the CODATA 2022 value within Δ = −3.28 × 10⁻¹⁰, well below current experimental uncertainty. Mass as Sampling Frequency (Zitterbewegung) In the Māyā framework, the Zitterbewegung (trembling motion) of a Dirac fermion is interpreted through the Nyquist-Shannon sampling theorem. In Planck units, the Zitterbewegung frequency becomes simply ω_ZB = 2m, which is the minimal sampling rate required to faithfully represent a signal of frequency m. Mass is therefore not a substance but the minimum refresh rate needed to maintain a stable informational pattern in the discrete grid. This interpretation naturally leads to a fundamental mass limit: m ≤ 1/2 in Planck units, beyond which aliasing occurs, corresponding to black hole formation. Emergence of the Standard Model The 26 free parameters of the Standard Model are not arbitrary but emerge from the geometry and combinatorics of the planxel lattice. The three generations of fermions arise from the three distinct topological elements of the cubic cell (faces, edges, vertices). Key numerical predictions derived from the model include: Proton-to-electron mass ratio: m_p/m_e = 6π⁵ + 1/φ⁷ ≈ 1836.15252 (relative error ~10⁻⁷). Cabibbo angle: sin θ_c = 1/π² ≈ 0.225079. Strong coupling constant: α_s ≈ φ⁻¹·⁵ ≈ 0.118. The Koide relation for lepton masses emerges naturally from the three-phase structure of electromagnetic coupling. Emergent Gravity and Einstein Field Equations Within the Māyā framework, gravity is not postulated but emerges from local limitations on information processing. From the fundamental evolution equation one obtains: relativistic time dilation as slowed execution cycles (dτ = Γ dt), the Newtonian potential as relative computational overload (Φ = −c² ρ_eff/ρ_max), the Poisson equation ∇²Φ = 4πGρ with G emerging from Planck-scale architecture, the Schwarzschild metric as a consistency condition of invariant synchronization speed, and the full Einstein field equations as effective hydrodynamic relations in the continuum limit. Gravity does not influence local quantum dynamics because the regulator Γ is spatially uniform in the quantum regime; gravitational effects appear only when comparing extended regions with different average execution rates. Sonoluminescence as Informational Aliasing Sonoluminescence – the emission of light from collapsing gas bubbles – is explained as a breakdown of isotropic rendering under extreme computational overload. When the local execution rate Γ falls below a threshold dependent on atomic mass, the planxel network can no longer maintain phase coherence, emitting excess information as photons. The model predicts T ∝ m^0.4 for the hot-spot temperature, in excellent agreement with experimental data for noble gases (He, Ne, Ar, Kr, Xe). Temporal Structure and the Absence of Gravity in the Quantum Regime Time in the Māyā framework is not a fundamental dimension but is defined operationally as the number of completed local execution cycles. In the quantum regime (ρ_eff << ρ_max), the overload 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, and no local gravitational effects appear. 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. 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; mass as a sampling frequency (Nyquist limit); the fine-structure constant as a geometric texel weight; the 26 parameters of the Standard Model from cubic cell topology; sonoluminescence as an aliasing phenomenon; time as a count of execution cycles; the absence of gravity in local quantum phenomena; spacetime geometry as an emergent relational structure; and Newtonian gravity and Einstein field equations as macroscopic limits. 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.