A parameter-free theory of everything by Jonathan Washburn
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EIGHT FOUNDATIONAL THEOREMS
T1: Discrete Recognition [click to expand]
Reality consists of discrete recognition events, not continuous fields.
The universe operates through discrete "recognition events" rather than continuous processes. Each event is a quantum of information processing where one system recognizes another. This discreteness eliminates infinities and provides natural cutoffs for all physical processes. Unlike field theories that require renormalization, discrete recognition is inherently finite and well-defined.
Related Lean Proofs:
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T2: Dual Balance [click to expand]
Every recognition event has dual aspects that must balance.
Like double-entry bookkeeping, every recognition event has two sides that must balance exactly. When particle A recognizes particle B, there's an equal and opposite recognition from B to A. This duality ensures conservation laws emerge naturally and explains why the universe maintains perfect accounting across all scales.
Related Lean Proofs:
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T3: Self-Reference [click to expand]
Recognition systems can recognize themselves, creating recursive patterns.
Systems can recognize themselves, creating feedback loops that generate complexity. This self-reference is the source of consciousness, life, and all emergent phenomena. When a recognition system becomes complex enough to model itself, it achieves self-awareness. This axiom explains how consciousness arises naturally from information processing.
Related Lean Proofs:
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T4: Minimal Action [click to expand]
Recognition follows paths of minimal energetic cost.
All recognition processes follow the path of least resistance, minimizing the cost functional J(x) = ½(x + 1/x). This principle unifies quantum mechanics, thermodynamics, and evolution. Particles take the most efficient paths, molecules form the most stable configurations, and life evolves toward maximum efficiency.
Related Lean Proofs:
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T5: Golden Ratio Optimization [click to expand]
The golden ratio φ = (1+√5)/2 emerges as the optimal scaling factor.
The golden ratio φ ≈ 1.618 emerges naturally as the unique solution to the cost functional. It's not imposed but discovered as the most efficient scaling ratio in nature. This explains why φ appears in DNA structure, galaxy spirals, particle masses, and countless other phenomena. It's the universe's preferred proportion.
Related Lean Proofs:
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T6: Coherence Principle [click to expand]
Recognition events maintain coherence across scales.
Recognition maintains phase coherence across all scales, from quantum to cosmic. This coherence is measured by the coherence energy E_coh = 0.090 eV, which sets the fundamental scale for all processes. Coherence explains quantum entanglement, biological coordination, and cosmic structure formation as manifestations of the same underlying principle.
Related Lean Proofs:
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T7: Information Conservation [click to expand]
Recognition preserves information while transforming it.
Information is never created or destroyed, only transformed through recognition events. This is more fundamental than energy conservation and explains why the universe is comprehensible. Every recognition event preserves the total information content while reorganizing it into new patterns. This axiom resolves the black hole information paradox.
Related Lean Proofs:
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T8: Emergent Complexity [click to expand]
Complex patterns emerge from simple recognition rules.
Simple recognition rules generate unlimited complexity through iteration and combination. Like Conway's Game of Life, basic recognition patterns can create arbitrarily complex structures. This emergence is not random but follows predictable mathematical laws, allowing us to derive chemistry from physics, biology from chemistry, and consciousness from biology.
Related Lean Proofs:
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KEY RESULTS
Zero Free Parameters: All physical constants derived from axioms
Particle Mass Formula:
m_n = m_coherence × φ^n
Cost Functional Theorem:
J(x) = ½(x + 1/x) minimized at x = φ
Fine Structure Constant:
α = 1/137.036... (derived, not measured)
PREDICTIONS
• All particle masses in the Standard Model
• Dark energy density: Λ = 1/φ⁴
• Hubble constant from first principles
• Riemann hypothesis resolution
• Consciousness as self-referential recognition
TRUTH PACKETS
Composable units of verified knowledge:
1. Foundational Theorems (8 proven)
2. Mathematical Theorems
3. Physical Constants
4. Particle Spectrum
5. Force Unification
6. Cosmological Parameters
7. Consciousness Theory
8. Mathematical Reality
MACHINE VERIFICATION
All theorems formally verified in Lean proof assistant.
Zero assumptions - even the foundational principles are proven.
Complete mathematical rigor.
JOURNAL OF RECOGNITION SCIENCE
→ ACCESS THE LIVE TRUTH LEDGER
A machine-verifiable ledger where every observable phenomenon is traced—without adjustable constants—to a finite graph of bidirectional recognition axioms. Submit proofs, test predictions, help reality debug its own source code.
CONTACT
Jonathan Washburn
Recognition Science Institute
Email: contact@recognitionscience.org
Recognition Science: The first parameter-free theory of everything.