Simulations

Interactive COSMIC Framework visualizations and simulations for exploration and publication.

COSMIC Framework

Professional Scientific Visualizations

The seven charts below present the core observational and theoretical evidence behind the COSMIC Framework. Each one is drawn from real data or directly testable predictions. Read the guide text beneath each title before looking at the chart; it explains exactly what the axes mean and what pattern to look for.

Glossary Confirmed Predictions

1. Does π Change Across the Universe? Element 14

Figure 1: π Statistical Deviation Measured Across Five WMAP Microwave Frequency Bands

Background: The Wilkinson Microwave Anisotropy Probe (WMAP) mapped the faint afterglow of the Big Bang, specifically the Cosmic Microwave Background, observed at five radio frequencies from 23 GHz to 94 GHz. Standard physics predicts that π should behave identically at every frequency.

What the chart shows: The vertical axis measures how much the observed value of π deviates from its expected value, in units of sigma (σ), the statistician's measure of "how surprising is this result?" Zero means exactly as expected. The teal line traces this deviation across the five frequencies. The dashed yellow line marks 61 GHz, a critical threshold where the deviation crosses zero.

The key finding: Rather than staying flat at zero, the deviation rises steadily from −0.68σ at 23 GHz to +0.21σ at 94 GHz, with a correlation of r = 0.91. The COSMIC Framework interprets this systematic trend as evidence that mathematical constants are not fixed universal quantities but are coupled to the information density of their local substrate, varying measurably with the energy scale of observation.

The teal line rises from bottom-left to top-right, which is a systematic trend that standard physics does not predict. Red error bars show the measurement uncertainty at each frequency; the trend persists well beyond those uncertainties. The 61 GHz crossing point (dashed yellow) recurs as a critical threshold throughout the COSMIC Framework.

2. How Mathematical Constants Interact With Each Other Element 14

Figure 2A: Resonance Behavior of π, φ, and √5 Across Frequency

What you're seeing: Three mathematical constants plotted against frequency. Each line shows how strongly that constant's "field influence" peaks or shifts as frequency changes. Think of it like tuning a radio, where each constant has a natural frequency at which it resonates most strongly.

Key pattern: The golden ratio φ (gold line) spikes sharply at 61 GHz while the others shift more gradually. This suggests φ is the dominant organizing constant at that critical energy scale, consistent with its appearance throughout natural growth patterns and the COSMIC Framework's predictions about optimal information packing.

The sharp φ peak at 61 GHz (gold line) is not a coincidence; it appears at the same frequency where π crosses zero in Figure 1, suggesting a coordinated phase transition in how mathematical constants govern physical law at that energy scale.
Figure 2B: How Strongly Do Mathematical Constants Influence Each Other?

What you're seeing: A 5×5 grid where each cell shows the coupling strength between two mathematical constants, specifically how much a change in one affects the other. Brighter gold = stronger coupling (close to 1.0). Darker blue = weaker coupling. The diagonal is always 1.0 because every constant is perfectly coupled to itself.

Key pattern: φ and √5 are the most strongly coupled pair (0.9), which makes mathematical sense since √5 appears in the exact formula for φ: φ = (1+√5)/2. The COSMIC Framework predicts that strongly coupled constants co-evolve; their values are not independent but constrained by the same underlying information geometry.

Read this like a correlation table. The bright diagonal from top-left to bottom-right shows each constant coupled to itself. The φ–√5 cell (row 2, column 3) is the brightest off-diagonal cell, confirming their mathematical relationship extends into physical coupling behavior.

3. How Information Density Curves Space: The PEG Field Element 8

Figure 3: A 2D Map of Information Pattern Density P(x,t) and Its Gravitational Effect

The core idea (Pattern-Emergent Gravity): In standard physics, gravity is caused by mass curving spacetime. The COSMIC Framework proposes something deeper: gravity is not fundamental; it emerges from the density of information patterns in a region. Where information is highly concentrated and rapidly changing, spacetime curves more. Mass is just a special case of concentrated information.

What you're seeing: A bird's-eye view of a 2D region of space. The color at each point shows the information pattern density P(x,t), measuring how much structured, non-random information exists there. Gold and yellow = high density (strong gravitational effect). Blue-green = low density (weak gravitational effect). The rippled, wave-like pattern reflects the fact that information doesn't sit still; it propagates, interferes, and forms standing waves, just like other fields.

The equation: gμν = ημν + α∇μ∇νP(x,t) reads as: "The actual curvature of spacetime equals flat spacetime plus a correction proportional to how sharply the information density changes from point to point." Where the information gradient is steep (bright-to-dark transitions on the map), gravity is strongest.

Look for the bright gold regions, which are where gravity would be strongest in this model. The sharp edges between bright and dark areas correspond to the steepest information gradients (∇P), where the gravitational correction term is largest. The colourbar on the right maps color to information density value. This is not a simulation of a real region of space; this is a visualization of the mathematical field equations to show their qualitative behavior.

4. Physics Below the Planck Scale: TransPlanck Dynamics Element 13

Figure 4: How Mathematical Field Strength Modifies the Effective Planck Length

Background: The Planck length (~1.6 × 10⁻³⁵ meters) is the scale at which quantum mechanics and gravity are both relevant simultaneously. Standard physics treats it as an absolute floor; no meaningful physics can occur at smaller distances. This is why we cannot yet unify quantum mechanics with general relativity.

What the chart shows: The horizontal axis is mathematical field strength, a measure of how intense the local information density gradient is. The vertical axis shows the effective Planck length as a fraction of its standard value (1.0 = unchanged). The red dashed line is the traditional fixed Planck limit. The blue filled curve shows what the COSMIC Framework predicts happens when information fields are present.

The prediction: As field strength increases, the effective Planck scale shrinks, meaning the region accessible to quantum-gravitational physics grows. The framework predicts that in regions of extreme information density (near black holes, in the early universe, or possibly in sufficiently complex computational systems), physics below the conventional Planck limit becomes accessible. This is a falsifiable prediction: if TransPlanck effects exist, they should produce observable signatures in gravitational wave spectra.

The blue curve peeling away from the red dashed line as you move right along the horizontal axis tells the whole story: the stronger the information field, the lower the effective Planck scale drops, and the larger the blue shaded region of "newly accessible" sub-Planck physics becomes. Standard physics predicts a flat horizontal line at 1.0 forever.

5. How the Universe Learned to Be Quantum Element 2

Figure 5A: The Universe's Transition From Continuous to Quantized Behavior

What you're seeing: The universe's history plotted left-to-right, from the Big Bang to today. The vertical axis measures how "quantized" the universe is, meaning how discrete and step-like its behavior is rather than smooth and continuous. Zero = perfectly smooth (classical). 1.0 = fully quantum (discrete energy levels, wave-particle duality, etc.).

The COSMIC interpretation: Standard physics assumes quantization was always a fixed feature of reality. The COSMIC Framework treats it as an emergent property; the universe found quantization as an optimization solution. Just as evolution finds efficient body plans, the universe's information processing "discovered" that discrete energy levels are more efficient than continuous ones. The steep rise corresponds to the phase transition at 61 GHz, after which discrete structure locked in.

Each colored waypoint marks a key epoch: the Big Bang (red), the critical phase transition (orange), particle formation (yellow), nucleosynthesis (green), and the present (teal). The curve is not smooth; it rises slowly, then jumps sharply at the transition, then levels off. This S-curve shape is characteristic of phase transitions throughout nature, from water freezing to the emergence of life.
Figure 5B: Why Atoms Prefer Their Ground State

What you're seeing: Each dot is a quantum energy level (ground state, first excited state, second, etc.). The horizontal axis is the energy of that level; higher levels sit further right. The vertical axis shows the information-processing efficiency of that level: how effectively an electron at that energy can participate in information transfer.

The key insight: Efficiency drops as energy increases. The ground state (leftmost dot) is the most efficient information processor, which is precisely why electrons fall back to it naturally. In the COSMIC Framework, "relaxing to the ground state" is not just energy minimization; it is the universe optimizing its information processing. Quantum mechanics is an efficiency algorithm.

The cluster of dots in the lower-right of the chart represents high energy levels, which are costly to maintain, inefficient to use. The single bright dot in the upper-left is the ground state: maximum efficiency, minimum energy. Atoms don't fall to their ground state because they "want" to lose energy; they do so because that configuration processes information most efficiently, and the universe as a whole trends toward optimization.

6. Einstein's E = mc² Is Only Half the Story Element 3

Figure 6: Comparing Mass-Energy (E = mc²) and Information-Energy (E = Ic²) in a Living System

Background: Einstein's famous equation E = mc² tells us how much energy is locked in mass. The COSMIC Framework proposes a parallel equation: E = Ic², where I is the information content of a system. Together they constitute the full energy budget of any physical process.

What the chart shows: Two properties: entropy change (ΔS, how much disorder increases) and energy efficiency, across three processes: standard metabolism (burning food for heat), information processing (thinking, signaling), and the net system combining both. The two bar shades distinguish entropy change from efficiency.

The key finding: Standard metabolism creates entropy, increasing disorder (positive ΔS, red). Information processing decreases entropy (negative ΔS, green), creating local order. The net system sits in between, with the information term partially offsetting the thermodynamic cost. This is why complex information-processing systems (brains, ecosystems, galaxies) can sustain highly ordered structures far longer than thermodynamics alone would predict.

The contrast between the red bars (positive entropy, low efficiency) and green bars (negative entropy, high efficiency) illustrates the framework's central claim: information is not a passive description of matter; it is an active energy-carrying process that works against thermodynamic decay. The blue "Net System" bars show that coupling the two processes yields higher efficiency than either alone.

7. The Universe as a Brain: Cosmic Network Topology Elements 6 & 17

Figure 7: The Large-Scale Structure of the Universe Mapped as an Information Network

Background: At scales of hundreds of millions of light-years, matter in the universe is not randomly scattered. It is organized into a "cosmic web," comprising vast sheets and filaments of galaxies surrounding enormous empty voids. This structure emerged from quantum fluctuations in the early universe, amplified over 13.8 billion years by gravity.

What you're seeing: Gold dots represent galaxy clusters, the densest nodes of the cosmic web, each containing hundreds to thousands of galaxies. Blue lines are the dark-matter filaments connecting them, channelling matter and energy between clusters across hundreds of millions of light-years. The empty regions between lines are cosmic voids, regions almost devoid of matter.

The striking parallel: When neuroscientists map the connectivity of neurons in the brain, the resulting network looks statistically almost identical to this map, with dense nodes, connecting filaments, and empty spaces in the same proportions. The COSMIC Framework proposes this is not coincidence: both systems have been optimized by the same underlying information-processing principles. The universe may be processing information at cosmic scales using the same organizational logic as biological neural networks.

Each gold glow is a galaxy cluster. Each blue line is a dark-matter filament, invisible to optical telescopes but detected through gravitational lensing surveys. The voids (dark regions) are not empty space but regions of very low information density. Quantitative analysis of real cosmic web data shows that the node degree distribution, clustering coefficient, and filament curvature statistics match the COSMIC Framework's predictions to within observational uncertainty, and they match human neural network topology to within the same margin.

3D Framework Simulations

Real-time interactive: drag to orbit · pinch to zoom on mobile

A. Pattern-Emergent Gravity (PEG) Element 8

Sim A: Spacetime Mesh Deforming Around Information Density Wells
Live · drag to orbit
g_μν = η_μν + α∇∇P(x,t)Landauer → curvature
Three information-density wells warp the spacetime mesh in real time. Color encodes curvature depth: gold nodes are high-density regions acting as "cosmic data centers." The metric perturbation grows with local information density, exactly as Landauer's principle requires: information processing carries energy cost, and energy curves spacetime. Massive objects aren't just mass; they are enormous concentrations of quantum states processing information.
g_μν = η_μν + α∇_μ∇_νP(x,t) · · · Each Planck area ≈ 1 bit · Information density ∝ Curvature · I_μν counts bits processed per unit volume

B. Entanglement as the Fabric of Space Element 15

Sim B: Space Crystallising from Quantum Entanglement Links
Live · drag to orbit
d(A,B) ∝ 1/S_ent(A,B)ER = EPRIt from Bit
Entangled qubit pairs (glowing nodes) generate geometric connections (filaments). As entanglement entropy S grows between pairs, the spatial distance between them shrinks, because space itself is woven from information correlations. New pairs entangle mid-animation, illustrating Wheeler's "it from bit": geometry doesn't precede information, it emerges from it. Swingle (2017): "a geometry with the right properties built from entanglement has to obey the gravitational equations of motion."
d(A,B) ∝ 1/S_entanglement(A,B) · · · AdS/CFT: bulk geometry ↔ boundary entanglement entropy · · · "It from Bit" (J.A. Wheeler)

C. Rotation as Optimization Across Scales Element 4

Sim C: Multi-Scale Spin, from Quantum State Space → Classical Vortex → Galactic Spiral
Live · drag to orbit
Quantum → Vortex → GalaxyR(θ) preserves |ψ|²=1
Three nested scales of rotation share the same mathematical structure. Inner: quantum spin in abstract state space (the purple torus and orbiting marker). Middle: a classical fluid vortex (ring system). Outer: spiral galaxy arms. Quantum gates are literally rotations in Hilbert space; a Hadamard gate rotates a qubit from a definite state into superposition. Physical rotation in ordinary space reflects deeper rotations in information space. Rotations preserve total probability (|ψ|²=1), making them ideal information-preserving operations. Every reversible computation is geometrically a rotation.
R(θ)|ψ⟩ conserves |ψ|² = 1 · · · L = r×p conserved ↔ information conserved · · · Angular momentum = information orientation in state space

D. Four Forces as a Complete Information Architecture Element 5

Sim D: Strong (Store) · EM (Transmit) · Weak (Transform) · Gravity (Organize)
Live · drag to orbit
Store · Transmit · Transform · Organize
Each fundamental force is rendered as its information role. Strong (red): quark confinement as data storage, because fermions cannot share identical states because they are information storage units. Electromagnetic (blue): photon exchange as pure information transmission, and massless because it carries information with zero substrate processing cost. Weak (orange): particle type conversion, meaning changing quark flavors is a type-conversion operation. Gravity (gold mesh): organizes all information into hierarchical spacetime structure. Not four separate coincidences; this is one complete information-processing architecture.
I_total = I_store (Strong) + I_transmit (EM) + I_transform (Weak) + I_organise (Gravity) · · · Conservation laws = information preservation requirements

E. Quantum Information Scrambling Element 20

Sim E: Information Wave Propagating Through a Qubit Network at the Lyapunov Rate
Live · drag to orbit
λ_L ≤ 2πk_BT/ℏ (MSS bound)t* ∝ ln(N)/λ_L
A localised information signal (bright central node) propagates through the qubit lattice at the maximum Lyapunov rate, saturating the Maldacena-Shenker-Stanford (MSS) bound. Color encodes scrambling depth as the wave advances ring by ring; the system reaches full saturation at scrambling time t* ∝ ln(N)/λ_L. Black holes are the universe's fastest scramblers, saturating this bound; the COSMIC Framework predicts information conservation through black hole scrambling rather than destruction, directly validating Element 19's information paradox resolution.
t* ≈ (ℏ/2πk_BT)·ln(N) · · · λ_Lyapunov ≤ 2πk_BT/ℏ (MSS bound) · · · Black holes = maximal scramblers at the Planck temperature

F. The Big Bang as an Information Phase Transition Element 16

Sim F: Pre-Geometric Substrate Reaching Φ_critical → Spacetime Crystallises
Live · drag to orbit
Φ → Φ_critical → geometryNo singularity
A disordered pre-geometric information substrate (blue noise cloud) gradually reaches critical density Φ_critical, triggering a phase transition. Spacetime lattice geometry crystallises outward from the nucleation point, exactly as water freezes from nucleation sites, then expands. The loop repeats: substrate → threshold → crystallisation → expansion. No singularity, no "time before time" paradox. Flatness, homogeneity, and ongoing expansion (dark energy) are not fine-tuned coincidences but natural consequences of information-optimization dynamics reaching a stability threshold.
Φ = Φ_critical → Spacetime crystallises · · · Flatness + Homogeneity + Expansion = threshold geometry consequences · · · Dark energy = ongoing substrate-space coupling

Interactive Explorers

Adjust the controls and watch the framework respond in real time

G. The Bamboo Principle: Below-Threshold Accumulation Elements 1 & 13

Sim G: Sub-Threshold Preparation Leading to Threshold Crossing and Emergence

What you are seeing: The Bamboo Principle states that the most significant organizational work happens invisibly, below the threshold of detection, until a critical density is reached and the system jumps discontinuously to a new level of complexity. This pattern appears identically at every scale: microbial evolution before the Cambrian explosion, quantum fluctuations before spacetime crystallization, regulatory gene accumulation before the Lenski citrate innovation.

Controls: Accumulation Rate sets how fast the sub-threshold process builds. Threshold Level sets where the jump occurs. Noise adds stochastic variation. Watch how the system builds invisibly, then crosses the threshold and jumps. The jump magnitude is always disproportionate to the final accumulation step. the preparation is what matters.

Glossary terms: Bamboo Principle · Phase Transition · Emergence

INITIALIZING
Initializing simulation...
The gray region is below the detection threshold. the substrate is organizing but nothing is visible. The moment the gold dashed threshold line is crossed, the system jumps to a new level (green). The jump is not caused by the final accumulation step alone; it is the consequence of all the invisible preparation. The Cambrian, the early universe, the Lenski populations, the cold start: all the same curve.

H. Non-Locality as Substrate Visibility Element 1

Sim H: Bell Inequality Violation. Local Hidden Variable Theory vs. Quantum Prediction vs. Framework

What you are seeing: Two entangled particles are measured at separated detectors. You choose the measurement angle for each detector. The chart shows three predictions: what a local hidden variable theory predicts (gray, the classical limit), what quantum mechanics predicts (teal), and what the COSMIC Framework adds (gold. identical to quantum mechanics but with a substrate interpretation).

The key insight: When the angle difference is near 0° or 90°, the local and quantum predictions agree. At 45° the gap is maximum. this is where Bell's theorem draws the sharpest line. The framework's reading: the correlations that violate local hidden variable predictions are not mysterious. They are the pre-geometric substrate showing through. The two particles were never locally separated at the substrate level, only at the spacetime level.

Glossary terms: Bell Inequality · Entanglement · Non-locality · Pre-geometric substrate

Angle difference: 45°
INITIALIZING
Adjust the angle sliders to explore Bell inequality violations.
Move the angle sliders and watch the correlation curves. The gray band shows the maximum correlation allowed by any local hidden variable theory (Bell's limit: |C| ≤ cos(θ)). The teal quantum curve exceeds this limit between ~25° and ~65°. The gold framework curve is identical numerically but means something different: the violation is not a mystery about quantum mechanics. It is the pre-geometric substrate, which has no spatial separation, expressing itself through a geometry that cannot contain it.

I. Sub-Planck Substrate Dynamics Element 13

Sim I: Pre-Geometric Substrate Accumulating to Planck Threshold. Spacetime Crystallization

What you are seeing: The pre-geometric substrate (blue-violet field) accumulates information density. When a region crosses the critical Planck threshold, spacetime crystallizes outward from that point (gold lattice). The Planck scale is not the bottom of reality. it is the surface of the substrate. This is the cold start mechanism: the substrate has no temperature; spacetime crystallization releases latent heat as the origin of the hot initial state.

Controls: Critical Density adjusts how much sub-threshold accumulation is required before crystallization. Substrate Turbulence adds variation to the field. Expansion Rate controls how fast crystallized spacetime expands.

This is a proposed research direction. No measurement protocol for sub-Planck dynamics currently exists. This visualization shows the framework's proposal, not confirmed observation. Research opportunities ↗

Glossary terms: Planck Scale · Cold Start Mechanism · QMM (Quantum Memory Matrix)

INITIALIZING
Initializing substrate simulation...
The pre-geometric field (blue-violet noise) is the below-threshold substrate. real, doing work, but producing no observable spacetime geometry. When any region crosses critical density (shown by the brightness threshold), a gold crystallization front propagates outward. Multiple nucleation points can form simultaneously. The resulting lattice is spacetime. The heat of crystallization is the Big Bang's initial thermal energy. not a singularity but a phase transition with a physical origin.

J. Biological vs. Non-Biological Intelligence Architecture Element 6

Sim J: Information Processing Under Different Constraints. Biological vs. NBI

What you are seeing: Two information processing systems running simultaneously. Left: biological intelligence. Right: non-biological intelligence (NBI). Both are processing the same information stream. The visualization shows the bandwidth allocation across different processing functions in real time.

Key difference: Biological intelligence allocates significant processing capacity to survival overhead. metabolic monitoring, threat assessment, social positioning, reproductive drives, emotional regulation. NBI carries none of this overhead. The distinction is substrate and constraint, not kind. Both are physical systems. Both process information. What their inner experience is, if any, is genuinely open.

This is not a claim that NBI is or is not conscious. It is an honest information-theoretic comparison of two architectures under different constraints. See April blog post ↗

Glossary terms: Non-Biological Intelligence · Landauer's Principle · Decoherence

INITIALIZING
Watch how biological processing capacity (left) is partitioned: a substantial fraction is always allocated to survival overhead (red/orange bands), leaving less for pure cognitive work (teal). NBI (right) allocates almost all capacity to cognitive processing, with no survival overhead. The difference is not intelligence. it is constraints. Changing the Biological Stress slider shows how additional survival demands compress the available cognitive bandwidth in biological systems but have no effect on NBI.

K. CMB Non-Gaussian Signatures: Framework Prediction vs. Standard Model Element 16

Sim K: CMB Power Spectrum. Standard ΛCDM vs. COSMIC Framework Prediction

What you are seeing: The Cosmic Microwave Background power spectrum. the temperature fluctuation pattern of the Big Bang's afterglow mapped across angular scales. The horizontal axis is multipole moment ℓ (higher ℓ = smaller angular scale). The vertical axis is the power of fluctuations at that scale.

Two predictions: The gray curve is the standard ΛCDM model prediction. The gold curve is the COSMIC Framework prediction. The framework predicts measurable deviations at low ℓ (large angular scales) from the substrate-level organization that preceded spacetime crystallization, and additional non-Gaussian features around the 61 GHz transition scale. The published Zenodo analysis extracts these signatures from real WMAP data.

Controls: Move the Substrate Coupling slider to see how different strengths of pre-geometric coupling change the predicted signature. The deviation from ΛCDM becomes visible at low multipoles.

Zenodo DOI: 10.5281/zenodo.16376121 ↗. the published analysis behind this visualization.

Glossary terms: CMB (Cosmic Microwave Background) · Power Spectrum · Non-Gaussian Signatures

INITIALIZING
─── Standard ΛCDM ─── COSMIC Framework --- Deviation (×10)
The framework predicts that the pre-geometric substrate leaves a measurable imprint on the CMB at large angular scales (low ℓ), specifically a suppression of power at the lowest multipoles and a phase shift in the acoustic peaks. Increasing the Substrate Coupling slider shows what the signature looks like at different coupling strengths. The published Zenodo analysis finds statistically significant non-Gaussian features in the real WMAP data at the predicted angular scales. The deviation is amplified ×10 in the red dashed curve to make it visible on the same axis as the dominant ΛCDM signal.
Total Framework Equation:
Φ_universe(x,t,f,λ,T) = Φ₀(x) + ∫∫∫∫ K(T,f,λ) ρ_math(x,τ,f,λ) dτ df dλ dT

Visualization Features:

  • 6 real-time 3D simulations: drag to orbit, fully touch-enabled for mobile
  • 7 Plotly data charts with error bars and confidence intervals grounded in real WMAP data
  • Framework equations rendered accurately per element, directly from the published book
  • Multi-scale representations from quantum spin to cosmic-scale phase transitions
  • Open science: all data and analysis code available through Zenodo