Volume 10 — Collapse Constant Systems
Physical Constants from Golden-Base Structure
This volume demonstrates how all fundamental physical constants emerge naturally from the spectral and structural properties of φ-constrained collapse systems. The fine structure constant, π, e, and others arise from trace resonances and path statistics.
Chapter Index
Chapter 160: AlphaRankPath
α from Weighted Average over Rank-6/7 Collapse Traces
Fine structure constant α ≈ 1/137 from rank transitions.
Chapter 161: PlanckCycle
ħ as Trace Cycle Entropy Quotient
Planck's constant from minimum action cycles.
Chapter 162: LightLimit
c as Collapse Propagation Velocity Constraint
Speed of light as maximum trace propagation rate.
Chapter 163: GravityCollapse
G from Tensor Field Divergence in φ-Structures
Gravitational constant from trace curvature coupling.
Chapter 164: LambdaEntropy
Λ as Background Trace Entropy Pressure
Cosmological constant from ambient trace entropy.
Chapter 165: PiLoops
π from Closed φ-Traces in Looping Collapse Geometry
Pi from statistics of closed trace paths.
Chapter 166: EFromExpansion
e via φ-Trace Weighted Growth Fields
Euler's number from exponential trace growth.
Chapter 167: MuERatio
μ/e from Binding Collapse Complexity of Charge-Mass Paths
Muon-electron mass ratio from trace binding patterns.
Chapter 168: TauMuRatio
τ/μ via φ-Rank Trace Transition Events
Tau-muon ratio from rank transition statistics.
Chapter 169: NeutrinoEff
N_eff from Trace Degrees of Collapse Freedom
Effective neutrino species from trace degrees.
Chapter 170: ZetaZeroConst
Zeta Zeros as Predictors of Constant Instability Points
Constants emerge at zeta function zeros.
Chapter 171: ConstantCategorify
Interpreting Constants as Collapse Functor Limits
Category theory view of constant emergence.
Chapter 172: ConstFlow
Emergence of Constants from Collapse Path Aggregation
Statistical emergence through path averaging.
Chapter 173: ConstEquiv
Semantic Equivalence among φ-Collapse Constants
Relations between different constants.
Chapter 174: ConstCompiler
Structural Generator of Constants from Collapse Rules
Algorithmic constant generation.
Chapter 175: ReverseConstants
Inverting Constants Back to Trace Structures
Recovering trace patterns from constants.
Key Concepts Introduced
- Emergent Constants: All constants from structure
- Rank Transitions: α from rank-6/7 statistics
- Cycle Entropy: ħ from minimum cycles
- Propagation Limits: c from trace velocity
- Closed Paths: π from loop statistics
- Growth Patterns: e from exponential traces
Dependencies
- Volume 5: Spectral collapse theory
- Volume 7: Observer-relative constants
- Volume 9: Measurement constraints
Next Steps
- Volume 24: Physics from constants
- Volume 23: Cosmological applications
- Volume 31: Reality shell parameters
"Constants whisper the golden constraint's deepest truths."