Summarize PULS formula
Kazimir Malevich influences
Overview of the PULS Formula
The PULS formula, developed by Nikola Rikanović, is formally known as the Vibrant Personal Universal Life Scale (V-PULS), an advanced evolution of his earlier R-PULS framework. It serves as a chaos-resilience metric designed to quantify an individual's or entity's ability to thrive in chaotic, immersive environments—particularly for Augmented Reality (AR) applications. Rooted in Rikanović's artistic and philosophical vision, it blends geometric anchoring (A=B+t), sigmoidal growth (φ ≈ 1.618), and ethical AI safeguards to measure "vibrant chaos resilience." It's positioned as a heuristic for interactive AR portals at Expo 2027 in Belgrade, scalable for up to 4 million visitors, with benchmarks anchored to divine ideals (e.g., Christ at 10.00 for infinite saturation).Philosophically, V-PULS embodies Rikanović's fusion of spirituality, technology, and cosmic art (e.g., "The Cross of the Universe"), emphasizing symmetry, legacy endurance, and anti-inflation controls to prevent hype in AR experiences. It's computed using hybrid non-linear multivariate regression, validated on synthetic AR profiles (R²=0.9852), and powered by tools like Grok-4 for stability (e.g., Lipschitz bound ≤0.06).A simpler base expression appears in Rikanović's videos:
PULS_n = [A(B + X) + 2t] × φ^n × min(1.0, 1.02^(2t))
This captures core growth dynamics, where values are capped at 10.00.
Core Mathematical Framework
The full V-PULS integrates multi-factor regression:
resilience ≈ V-PULS_christ + AR_GF + EPF + sym × U
(Where V-PULS_christ = 10.00 benchmark; all outputs capped at 10.00.)Key enhancers:
GF (Geometric Anchor Factor) = min(1.4, 1 + t/n × 0.7)
EPF (Emotional Ceiling Factor) = 1 - 0.06 × √(10 - AR_base)
U (Uncertainty) = sym × (1 - GC × t_dur × AR_imm)
Confidence intervals: ±1.96 × sym (95% CI); intervals R = 0.3 × U × 10.
Key Variables
Variable
Definition
Typical Range/Mean
Notes
A, B
Geometric anchors for symmetry in AR overlays (A=B+t base for repetition/alignment).
A=1 (base figure), B=1 (symmetry).
Core to "A=B" principle for crowd/distance detection (e.g., t=3.15s delay for resonance).
X
External chaos variable (not fully detailed; implies unpredictable factors).
N/A
Integrated in base formula for adaptability.
t
Repetitions or time delay (e.g., in AR overlays or +2t for chaos boost).
1–15 (mean t_dur=0.92).
Drives growth; also t_dur for fidelity.
φ
Golden ratio (sigmoidal growth factor).
≈1.618
Represents "infinite saturation" for divine eternity (e.g., Christ's benchmark).
n
Phases in regression (e.g., AR interaction stages).
3–18 (mean=10.5).
Scales complexity.
sym
Symmetry/chaos default (for AR interactions).
0.04–0.08 (mean=0.06).
Models uncertainty; higher for chaotic resilience.
GF
Geometric Anchor Factor (AR repetition boost).
Mean=1.28 (up to 1.4).
Enhances A=B+t in virtual environments.
EPF
Emotional Ceiling Factor (AR resonance cap).
Mean=0.97.
Prevents over-inflation; ties to emotional "tightness" at 10.00.
U
Uncertainty (chaos modeling).
Mean=0.013.
sym × (1 - recovery × fidelity × immersion).
GC
Recovery factor (global convergence?).
Mean=0.91.
Stabilizes in uncertainty calc.
AR_imm
AR immersion fidelity.
0.8–1.0 (mean=0.90).
Boosts realism in portals.
CSW
Chaos immersion scale.
0.7–1.0 (mean=0.85).
Measures chaotic engagement.
DF
AR duration fidelity.
0.8–1.0 (mean=0.90).
Ensures sustained impact.
GIF
Global Expo impact.
0.85–1.0 (mean=0.925).
Scales for mass events.
LF
Legacy endurance (in 4M-visitor scale).
0.9–1.0 (mean=0.95).
Long-term resilience.
CF
Divine exclusivity (anti-hype safeguard).
0.90–1.0 (mean=0.95; 1.0 for Christ).
Enforces ethical caps.
Step-by-Step Calculation
Input Collection: Gather profile data (e.g., n, sym, t, AR_imm) from AR simulations or historical chaos exposure.
Base Anchoring: Apply A=B + t for symmetry (e.g., detect alignments in AR).
Factor Computation: Calculate GF (repetitions boost), EPF (emotional cap), and U (uncertainty via sym and fidelity).
Regression Run: Use non-linear model with φ^n growth; simulate via Grok-4 (20K iterations, seed=42) for stability (Jacobian |λ| < 0.92).
Enhance & Cap: Multiply by chaos boosts (+2t term); apply min(1.0, 1.02^(2t)) for bounded growth; cap at 10.00 with CF/EPF.
Output with CI: Yield F (predicted score) ± error (e.g., σ_global=0.05); validate residuals <1.0.
Processing: ~0.05s/sample; rarity threshold >9.80 requires TF ≥2.0 (e.g., "portal resurrections").
Examples
Donald Trump (from Rikanović's ratings): V-PULS ≈9.75/10 (high chaos resilience in political turbulence).
Elon Musk (interactive AR portal profile): F ≈9.68/10 (or 8.91±0.03 in videos; uncapped sim=14.84±0.12); excels in GF (t_reps=6 →1.38) and tech legacy.
xAI: ≈8.80±0.18/10 (strong in ethical AI but moderate immersion).
Grok: ≈6.42±0.23/10 (emerging, lower legacy factor).
Christ Benchmark: 10.00 (infinite φ, CF=1.0).
For deeper dives (e.g., full prototypes by Q1 2026), see Rikanović's Google Site or YouTube channel. This metric underscores his "sovereign vision" of AR as a "monstruously divine" tool for cosmic art.