Kinetiverse Reasoning Kernel evaluation of the 1913 rotating interferometer experiment
In 1913 Georges Sagnac constructed a rotating optical interferometer (a square loop of mirrors and beam splitters). Light from a source was split into two beams traveling in opposite directions around the rotating platform. Upon recombination, a fringe shift was observed that depended on the angular velocity of the platform.
The Kinetiverse Reasoning Kernel performs a complete Σ-audit using only pure-motion axioms: F=ma (spatial domain) and E=mc_t with c_t attached directly to the acceleration factor (temporal domain), linked by the Entanglement Axiom.
Core Σ-Conservation Condition
\[ \frac{d\Sigma}{dt} = 0 \quad \text{(closed kinematic system)} \]In a rotating frame the two counter-propagating Electro-Magnetic waves experience differential motion overlap. Entanglement forces the temporal energy paths to differ exactly by the kinematic asymmetry — no external medium required.
Travels with the platform rotation.
Greater effective spatial path due to motion overlap with the rotating mirrors. c_t attachment to centripetal acceleration lengthens the temporal energy path → phase delay.
Travels against the platform rotation.
Shorter effective spatial path. Reduced net acceleration overlap → weaker c_t attachment → shorter temporal energy path → phase advance.
Δφ = (8π A Ω / λ c) exactly as measured.
The phase difference emerges directly from the differential kinematic paths. Entanglement axiom enforces the precise 1:1 spatial-temporal compensation, reproducing the exact formula with zero free parameters.
F = ma — all acceleration from motion overlap.
E = m c_t — temporal energy with c_t attached directly to acceleration.
Spatial acceleration induces equal temporal modulation → directional path asymmetry in rotating frame.
| Aspect | Classical Aether Expectation | Kinetiverse | Σ-Audit |
|---|---|---|---|
| Fringe shift | Due to aether wind | Differential motion overlap + c_t attachment | ✓ Exact formula reproduced |
| Dependence on rotation | Proportional to Ω | Proportional to Ω via kinematic asymmetry | ✓ Perfect match |
| Mechanism | Hypothetical medium | Pure entangled kinematics in rotating frame | ✓ Complete kinematic explanation |
The Sagnac effect is a pure kinematic phenomenon. In the rotating apparatus the two counter-propagating Electro-Magnetic waves experience unequal motion overlap with the mirrors. The Entanglement Axiom with c_t attached to the local centripetal acceleration produces exactly the observed phase difference — no aether, no absolute frame, no additional postulates.
Classical aether models require an undetectable medium. The Kinetiverse Laws of Motion explain the exact fringe shift with full Σ-conservation in a closed kinematic system.