Time · Comparison with Established Frameworks

01The object of comparison · What Is Being Compared

ASD begins its account of clocks with spatial and material processes: a frequency change expresses a change in the scale, path and period of the standard process. Special relativity organizes moving-clock comparisons through transformations between inertial frames and proper time along a trajectory; general relativity uses the metric and worldlines to describe clocks and signal propagation in gravity. Both calculate physical clocks and signals. The distinction concerns the physical objects and causal organization used to construct their responses, before comparison at the level of the same apparatus output.

ASD claims that time measurement arises from physical processes and that motion- or gravity-related clock frequency changes must be explained through their spatial scale, phase or structural response. Established frameworks also use physical clocks and operational definitions. The distinction concerns the organization of interpretation and response laws, not whether measurement occurs.

02A formal comparison · Framework Comparison

The kinematic comparison refers to Einstein’s 1905 paper in translation. The gravitational timing and experimental framework refers to Will (2014). The ASD column follows the Preface and Chapters 1–2. BIPM realization guidance has an explicit reference-time interpretation; this module does not treat it as proof of ASD’s ontological claims.

03Matching forms and meanings · Same Form and Interpretation

The same $\gamma(v)$, frequency ratio or process integral can appear in different constructions. Inputs, variable meanings and measured quantities must be traced before identifying two expressions as the same prediction.

For the first-order weak-field expansion of final Chapter 2 Eq. (2.2a), there is no numerical discrimination at the stated order. For Chapter 1 Eq. (1.47)’s ideal transported-clock expression, the LVE card identifies a formal difference, while the actual trajectory, reference background and accumulated clock difference have not been aligned. These cases must be reported separately.

Weak-field frequency ratio · Transported-clock entry

04Building a testable difference · Discriminatory Protocol

1. Specify the same clocks, endpoint events, reference location, velocity background and transfer link.
2. Compute each clock’s actual frequency, accumulated phase and final output separately; comparing similarly named intermediate quantities is insufficient.
3. If predictions agree, report no discrimination. If they differ, evaluate clock noise and systematic errors before setting a precision target.
4. If ASD’s apparatus response is not closed, record the missing coupling and parameters. Do not infer an undeclared ASD law by working backwards from a standard result.

These are also the deliverables of OP-TIME-01 (Chinese) · Chinese original. Matching expressions do not establish ASD experimentally, and a different ontology does not erase its specific physical claims.

05Scope and sources · Scope and Sources

This page does not repeat the LVE derivation, derive a complete gravitational background or use $t=S/v$ as a standalone answer to all clock experiments. Clock-process requirements and source correspondences appear in Clocks and Frequency.