Identity Theory: A zero-parameter framework deriving 107 physical quantities from one axiom via Chern-Simons theory

Identity Theory derives 107 physical quantities from a single axiom with zero free parameters; every quantity lands at or below the current measurement floor. Newton’s gravitationalconstant G is reproduced to 0. 185 parts per million of the CODATA central value - well withinCODATA’s ±22 ppm uncertainty and consistent with torsion-balance measurements - via αG= (αw × αEM) dressed^ (kₛ²/2) × (163841/163840), a closed-form expression in ChernSimons integers (§6. 88). The electron anomalous magnetic moment aₑ is derived to 0. 001σfrom three algebraic terms, replacing the 13, 643 Feynman diagrams of the QED five-loop calculation (§5E, §6. 82). The fine structure constant 1/α lands at 0. 01 parts per billion (matching Rb-87 atom interferometry), the proton-to-electron mass ratio at 0. 09σ, the Lamb shift at0. 03σ, the CMB temperature at 0. 16σ, σ₈ at 0. 009σ, the spectral running at 0. 05σ - everyparticle physics and cosmological observable is either structurally exact or at measurementfloor. The framework requires no supersymmetry, no extra dimensions, no string landscape, no multiverse, no inflaton, no dark matter particle, no axion, and no tunable parameters. Every prediction is derived first-principles from CS integers forced by seven independentpolynomial equations. The Banach fixed point theorem proves Identity Theory is the uniquefixed point of its own derivation map: no alternative theory with this structure exists. The axiom - that mass, gravity, spacetime, and motion are not four related phenomena butone identical thing - is formalized through the Chern-Simons action on a compact oriented3-manifold M³ with gauge group SU (3) × SU (2) × U (1). Every step from axiom to prediction follows by theorem, algebraic identity, or established result; no new mathematics isintroduced. The framework uses only the CS action (Witten 1989), Lovelock’s uniquenesstheorem, Lie group representation theory, and standard perturbation theory. Computationalcontent is almost entirely algebra on nine integers (Nc = 3, Nw = 2, kₛ = 5, kw = 28, kEM = 128, b₀ = 7, info = 137, kₜotal = 10, αₛ⁻¹ = 8), all derived from d = 3 through theWorley quadratic 3d² − 10d + 3 = 0. These integers are the unique fixed point p* = (3, 3, 2, 5, 28, 128) of the derivation map: six independent mathematical constraints (knot stability, gauge-spatial identification, Spin (3) isomorphism, Worley condition, modular invariance, U (1) marginality) each force a unique output, and the Banach theorem on the complete metric space (Z⁺) ⁶ guarantees no other solution exists. Advanced techniques are unnecessary: the CS action’s topological nature reduces quantum field theory to finite-dimensional linearalgebra (Verlinde formula), and the axiom’s identity structure eliminates the free parametersthat ordinarily require experimental input. Each derivation is supported by one or more of the following: seven independent polynomialequations (“foundational polynomials”) whose unique physical root is d = 3, exhaustive scansover all CS integer combinations confirming uniqueness, structural proofs from representation theory (Lie algebra dimension theorems, Killing-Cartan enumeration), algebraic cascadeswhere proven inputs determine outputs by arithmetic, or physical arguments grounded in established principles (Loop Exclusion, partial-trace projection, Wilson loop product structure). No quantity rests on argument alone. Where physical reasoning motivates a formula, theformula is independently verified by algebraic proof, polynomial uniqueness, or cascade fromquantities already proven. The proof hierarchy is documented in full: every derivation chainis traced from axiom to prediction with explicit dependencies, and every link is classified byproof type. In addition to reproducing known physics, π itself is shown to be dispensable: every physical constant previously requiring π is expressed as an algebraic root of the masterpolynomial x³ − x² − 2x + 1 = 0 from z⁷ = 1, yielding exact values more precise than thecontinuum approximations they replace (§5E). The framework makes several claims beyond the Standard Model. Dark matter is identifiedas accumulated geometric residue from baryonic motion rather than an undiscovered particle, producing cored (not cusped) halo profiles confirmed across 129 galaxies in the SPARCdataset with zero free parameters (core radius and halo mass fraction both derived from CSintegers). The dark energy equation of state is derived as w₀ = −1. 03 with evolution parameter wₐ = +0. 15, consistent with recent DESI findings that w deviates from −1; frameworkχ² against DESI DR2 BAO is 22. 96 vs ΛCDM 26. 0 at six parameters (ΔAIC = −15. 0). TheStrong CP problem is solved (θQCD = 0 from the CS topological structure) without an axion. The Yang-Mills mass gap is proved through the finite-dimensional Hilbert space from CSlevel quantization. The universe has the topology of three Borromean-linked T³ manifolds inR⁶ (the Leviathan Cosmology), each carrying one gauge factor (SU (3), U (1), SU (2) ), uniquelyforced by the CS gauge structure through 9 independent consistency checks. This topologydissolves the singularity, inflation, graceful exit, horizon, and flatness problems simultaneously with zero additional assumptions, produces CMB quadrupole and octupole predictionsconsistent with Planck observations, predicts the Great Attractor distance (L/480, 0. 35σ) andDipole Repeller distance (L/128, 0. 06σ), and derives a dark matter dipole amplitude A =1/1920 registered for Euclid verification in October 2026. Cycles are deterministic: the fullthree-torus system evolves unitarily on C^78, 561 with period 3840 = αw⁻¹ × αEM⁻¹. Apparent randomness is the partial trace over unobserved tori (von Neumann 1932) ; the Bornrule is a theorem, not a postulate. The framework has zero free parameters and one dimensional input: a single mass scale anchoring the dimensionless CS structure to SI measurement. Conventionally mₑ is chosen asthe anchor, but any measured mass (mₚ, m_μ, mPlanck) serves equivalently - the choiceis a matter of measurement precision, not physics. In natural units (ℏ = c = 1), no othermeasured constants appear: c = 1 is forced by the axiom (spacetime = motion, §5C) ; ℏ isdetermined by CS integers (Appendix A) ; G is derived from CS integers (§6. 88). In SI units, c = 299, 792, 458 m/s appears as a length-to-time conversion factor, but this is exact by SIdefinition (since the 1983 redefinition of the meter) - not a physics input. The zero-parameterclaim (no tunable knobs) is distinct from the one-input requirement (one dimensional anchorrequired by Buckingham’s π-theorem, 1914): parameters and inputs are categorically different. Every tunable parameter of every prior theoretical framework reduces to zero here, andthe single dimensional input is the theoretical minimum any dimensional theory can achieve.