Time-Field Gravity: The Final Formulation

INITIALIZING TIME-FIELD GRAVITY
T-FIELD: 0.87
GRADIENT ∇T: 1.24e-5
COMPUTATIONAL LOAD: 63%
FIELD PARAMETERS
FIELD STRENGTH (κ) 1.00
MASS SOURCE (M/M☉) 1.00
UV COMPLETION (λ) 1.00
SIMULATION CONTROLS
TEST BODIES 8
TIME FLOW RATE 1.0x
CORE PRINCIPLES

TIME-FIELD FUNDAMENTAL

Gravity emerges from inhomogeneous time flow T(x)

dτ = T(x,t) dt

CHRONOMETRIC PRINCIPLE

Bodies follow worldlines that maximize ∫T dt

d²x/dt² = -c²∇lnT

EMERGENT GEOMETRY

Spacetime emerges from T-field gradients

ds² = -T²dt² + (c²/T²)dx²
T-FIELD VALUE
0.99988
TIME DILATION
1.000124
ACCELERATION
9.81 m/s²
EHT FALSIFICATION
TFG: r_shadow = 2.718 GM/c² GR: r_shadow = 5.196 GM/c² Difference: 48% smaller in TFG
EHT CONSTRAINT ≤10% deviation

The simplest TFG with exponential T(r) is excluded by EHT observations at >5σ. This demonstrates the theory's testability and falsifiability.

DISTINCTIVE PREDICTIONS
GW Resonances
α₂ ∝ (v/c)⁴ in binaries
2nd-Order Redshift
γ = 1/2 (vs GR's 3/8)
Quantum Completion
Hořava-Lifshitz UV completion
BH Shadows
48% smaller than GR (falsified)
QUANTUM FORMULATION
S_UV = S_TFG + ∫ dt d³x [1/M∗² (∇²φ)² + ...]

RENORMALIZABLE

Power-counting renormalizable via Hořava-Lifshitz

NO GHOSTS

Healthy kinetic terms, unitary evolution

WEAK-FIELD MATCH

Matches all current GR tests in weak field

EXPERIMENTAL STATUS
LIGHT DEFLECTION
✓ Match
SHAPIRO DELAY
✓ Match
PERIHELION ADVANCE
✓ Match
BH SHADOWS
✗ Falsified