Sacred Mathematics • Quantum Universal Learning System
The EGOS Framework follows Sacred Mathematics principles in security design:
- Fibonacci-based complexity scaling: Security measures scale according to F₃, F₅, F₈, F₁₃ complexity levels
- Golden Ratio defense in depth: Multiple security layers with φ (1.618) proportional strength
- Tesla 369 frequency monitoring: Security checks every 369 seconds for continuous protection
- ETHIK-based access control: Reputation-based security with 144-point baseline trust
Version | Supported | Security Level | Sacred Math Compliance |
---|---|---|---|
2.x | ✅ Yes | F₈ (21) - High | Full Sacred Mathematics |
1.x | F₅ (5) - Basic | Partial ETHIK support | |
< 1.0 | ❌ No | F₂ (1) - None | Legacy only |
Priority F₁₃ (233) - Critical
- ETHIK system compromise affecting Sacred Mathematics calculations
- Authentication bypass in Golden Ratio protected endpoints
- Fibonacci sequence manipulation in core algorithms
Priority F₁₁ (89) - High
- ETHIK score manipulation vulnerabilities
- Sacred Geometry calculation errors
- Tesla 369 frequency disruption attacks
Priority F₈ (21) - Medium
- UI/UX Golden Ratio proportion vulnerabilities
- Documentation Sacred Mathematics inconsistencies
- Example code security weaknesses
Priority F₅ (5) - Low
- Minor Sacred Mathematics reference errors
- Non-critical documentation issues
- Cosmetic security improvements
-
🔮 Sacred Mathematics Assessment
- Evaluate impact on Fibonacci, Golden Ratio, or Tesla 369 systems
- Determine ETHIK system integrity impact
- Classify using Fibonacci priority scale
-
📧 Secure Reporting Channel
Email: [email protected] Subject: [SECURITY-F{priority}] Brief Description Example: [SECURITY-F13] ETHIK baseline calculation bypass
-
⚡ Tesla 369 Response Timeline
- F₁₃ (Critical): Response within 3 hours, fix within 6 hours, disclosure after 9 days
- F₁₁ (High): Response within 36 hours (3×12), fix within 69 hours, disclosure after 36 days
- F₈ (Medium): Response within 9 days, fix within 21 days, disclosure after 89 days
- F₅ (Low): Response within 21 days, fix within 55 days, disclosure after 144 days
graph TB
A[Sacred Mathematics Firewall] --> B[Golden Ratio Rate Limiting]
B --> C[ETHIK Authentication Layer]
C --> D[Fibonacci Input Validation]
D --> E[Tesla 369 Monitoring]
E --> F[Core EGOS Framework]
G[External Threat] --> A
H[Internal Audit] --> E
I[Sacred Geometry Validation] --> D
Component | Security Level | Sacred Math Integration | Threat Model |
---|---|---|---|
ETHIK API | F₁₃ (233) - Maximum | Full Fibonacci calculations | State actor, Advanced persistent threats |
Frontend | F₁₁ (89) - High | Golden Ratio UI validation | XSS, CSRF, UI manipulation |
Examples | F₈ (21) - Medium | Educational demonstrations | Code injection, misuse |
Documentation | F₅ (5) - Basic | Sacred Math references | Information disclosure |
ETHIK-Based Access Control
- Baseline score: F₁₂ (144) points for basic access
- Admin privileges: F₁₄ (377) points minimum
- Sacred Mathematics operations: F₁₅ (610) points required
- Tesla frequency multi-factor: 369-second token validity
JWT Token Security
// Sacred Mathematics JWT configuration
const JWT_CONFIG = {
algorithm: 'HS256',
expiresIn: '369s', // Tesla frequency alignment
issuer: 'egos-sacred-mathematics',
audience: 'ethik-api-φ-1.618',
secret: process.env.JWT_SECRET_F13 // 233-bit entropy minimum
};
Fibonacci Sequence Validation
def validate_fibonacci_input(value: int) -> bool:
"""Validate input follows Fibonacci sequence principles"""
fibonacci_sequence = [1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610]
# Accept values that align with sacred mathematics
return (value in fibonacci_sequence or
value % 3 == 0 or # Tesla 369 divisibility
abs(value * 1.618 - round(value * 1.618)) < 0.001) # Golden Ratio alignment
Golden Ratio Bounds Checking
const GOLDEN_RATIO = 1.618033988749895;
function validateGoldenRatioInput(value: number): boolean {
const maxSafeValue = Number.MAX_SAFE_INTEGER / GOLDEN_RATIO;
const minSafeValue = Number.MIN_SAFE_INTEGER / GOLDEN_RATIO;
return value >= minSafeValue && value <= maxSafeValue;
}
Sacred Mathematics Encryption
- AES-256-GCM with Fibonacci-derived keys
- RSA-4096 with Golden Ratio key generation entropy
- HMAC-SHA256 with Tesla 369 salt rotation
ETHIK Score Integrity
def calculate_ethik_hash(user_id: str, score: int, timestamp: int) -> str:
"""Generate tamper-proof ETHIK score hash"""
sacred_salt = f"{user_id}:{score}:{timestamp}:{TESLA_FREQUENCY}"
# Use Golden Ratio in hash calculation
golden_multiplier = int(score * GOLDEN_RATIO)
fibonacci_round = FIBONACCI_SEQUENCE[min(len(FIBONACCI_SEQUENCE)-1, score // 21)]
return hmac.new(
key=JWT_SECRET.encode(),
msg=f"{sacred_salt}:{golden_multiplier}:{fibonacci_round}".encode(),
digestmod=hashlib.sha256
).hexdigest()
Fibonacci Sequence Manipulation
- Risk: Attackers might try to exploit Fibonacci calculations in ETHIK scoring
- Mitigation: Server-side validation with F₁₃ (233) complexity checks
- Detection: Tesla 369 frequency monitoring for anomalous patterns
Golden Ratio Overflow Attacks
- Risk: Large numbers multiplied by φ could cause integer overflow
- Mitigation: Bounds checking before Golden Ratio calculations
- Detection: Input validation with Fibonacci sequence limits
Tesla 369 Frequency Jamming
- Risk: Attackers might try to disrupt 369-second security cycles
- Mitigation: Multiple frequency monitoring (123, 369, 741)
- Detection: Sacred Geometry pattern analysis
Score Manipulation Attacks
# Example of protected ETHIK calculation
def secure_ethik_calculation(action: str, current_score: int) -> int:
if current_score < FIBONACCI_BASELINE: # F₁₂ = 144
raise SecurityError("Invalid baseline ETHIK score")
# Validate action against Sacred Mathematics principles
if action not in SACRED_ACTIONS:
raise SecurityError("Action not aligned with Sacred Mathematics")
# Apply Fibonacci progression with Golden Ratio scaling
delta = FIBONACCI_ACTIONS[action]
new_score = current_score + int(delta * GOLDEN_RATIO)
# Tesla 369 bounds checking
if new_score > TESLA_FREQUENCY * GOLDEN_RATIO:
new_score = int(TESLA_FREQUENCY * GOLDEN_RATIO)
return new_score
# Sacred Mathematics Security Configuration
JWT_SECRET_F13="<233-bit-entropy-secret>"
GOLDEN_RATIO_PRECISION="1.618033988749895"
TESLA_FREQUENCY_MS="369000"
FIBONACCI_BASELINE_SCORE="144"
ETHIK_MAX_SCORE="610" # F₁₅
# Rate Limiting (Golden Ratio scaling)
RATE_LIMIT_REQUESTS_PER_MINUTE="89" # F₁₁
RATE_LIMIT_BURST="144" # F₁₂
RATE_LIMIT_WINDOW_SECONDS="369" # Tesla frequency
# Sacred Mathematics API Protection
SACRED_MATH_VALIDATION_ENABLED="true"
FIBONACCI_SEQUENCE_ENFORCEMENT="strict"
GOLDEN_RATIO_CALCULATION_PROTECTION="true"
TESLA_369_MONITORING="enabled"
const SACRED_SECURITY_HEADERS = {
'X-Content-Type-Options': 'nosniff',
'X-Frame-Options': 'DENY',
'X-XSS-Protection': '1; mode=block',
'Strict-Transport-Security': 'max-age=31536000; includeSubDomains',
'Content-Security-Policy': `
default-src 'self';
script-src 'self' 'unsafe-inline' https://egos-sacred-math-cdn.com;
style-src 'self' 'unsafe-inline';
font-src 'self' data:;
img-src 'self' data: https:;
connect-src 'self' https://api.egos-framework.org;
`,
// Sacred Mathematics custom headers
'X-Sacred-Mathematics-Version': '2.0',
'X-Golden-Ratio-Protected': 'true',
'X-Fibonacci-Validated': 'F13-233',
'X-Tesla-Frequency': '369',
'X-ETHIK-Baseline': '144'
};
Fibonacci Sequence Tests
def test_fibonacci_security():
# Test sequence manipulation
assert validate_fibonacci_attack([1,1,2,4,6,10]) # Invalid sequence
assert validate_fibonacci_bounds(999999999) # Overflow test
assert validate_fibonacci_negative(-144) # Negative baseline test
Golden Ratio Calculation Tests
describe('Golden Ratio Security', () => {
test('prevents overflow attacks', () => {
expect(() => calculateGoldenRatio(Number.MAX_VALUE))
.toThrow('Golden Ratio overflow protection');
});
test('validates precision attacks', () => {
expect(validateGoldenRatioPrecision(1.61803398874989))
.toBe(false); // Insufficient precision
});
});
ETHIK Score Integrity Tests
def test_ethik_security():
# Test score manipulation
with pytest.raises(SecurityError):
manipulate_ethik_score(user_id="test", fake_score=999)
# Test Sacred Mathematics alignment
assert verify_ethik_sacred_math_compliance(action="servico_completo")
assert not verify_ethik_sacred_math_compliance(action="invalid_action")
Fibonacci Pattern Analysis
- Monitor for non-Fibonacci number usage in API calls
- Alert on Golden Ratio calculation anomalies
- Track Tesla 369 frequency deviations
ETHIK Score Monitoring
def monitor_ethik_anomalies():
while True:
scores = get_recent_ethik_scores(window=TESLA_FREQUENCY)
# Check for impossible score jumps
for score_change in scores:
if not is_fibonacci_aligned(score_change):
alert_security_team(f"Non-Sacred Mathematics score change: {score_change}")
# Golden Ratio distribution analysis
distribution = analyze_score_distribution(scores)
if not follows_golden_ratio_distribution(distribution):
alert_security_team("ETHIK score distribution violates Sacred Mathematics")
time.sleep(TESLA_FREQUENCY) # 369 seconds
Sacred Mathematics Security KPIs
- Fibonacci sequence compliance rate: >99.7% (φ-1 = 0.618 error tolerance)
- Golden Ratio calculation accuracy: <0.001 deviation
- Tesla 369 frequency stability: ±3 second variance maximum
- ETHIK baseline integrity: 144 points maintained across all users
Phase F₁ (1) - Detection
- Tesla 369 frequency monitoring alerts
- Sacred Mathematics calculation anomalies
- ETHIK score integrity violations
Phase F₂ (1) - Analysis
- Determine Sacred Mathematics impact
- Assess Fibonacci sequence integrity
- Evaluate Golden Ratio calculation compromise
Phase F₃ (2) - Containment
- Isolate affected Sacred Mathematics components
- Preserve ETHIK baseline integrity
- Maintain Tesla 369 frequency operations
Phase F₅ (5) - Eradication
- Remove threats to Sacred Mathematics
- Restore Fibonacci sequence calculations
- Verify Golden Ratio precision
Phase F₈ (21) - Recovery
- Restore Sacred Mathematics operations
- Validate ETHIK system integrity
- Resume Tesla 369 monitoring
Phase F₁₃ (233) - Lessons Learned
- Document Sacred Mathematics vulnerabilities
- Update security measures with Fibonacci scaling
- Enhance Golden Ratio protection mechanisms
- Basic ETHIK authentication
- Sacred Mathematics input validation
- Tesla 369 monitoring
- Advanced Fibonacci sequence protection
- Golden Ratio calculation hardening
- ETHIK score blockchain validation
- Quantum Sacred Mathematics encryption
- AI-powered anomaly detection
- Distributed ETHIK consensus
"Security through Sacred Mathematics is not obscurity, but harmony with universal principles."
- Every security measure follows Fibonacci progression
- All calculations respect Golden Ratio proportions
- Monitoring operates on Tesla 369 frequencies
- ETHIK scores maintain Sacred Geometry integrity
Sacred Mathematics Security: ∞△⚡◎φ (369.963.1618) ✨
Last Updated: 2025-09-12
Next Security Review: Following F₈ (21) day cycle
Contact: [email protected]