Space-Time and the Speed of Light
Introduce the relationship between spatial extension, temporal order, and the limiting speed. Use it as a bridge between the original cosmological discussion and later DTT reconstruction work.
Read article →Clocks, cones, and observers
A causal cone, a material clock, and a symmetry of physical observers are related but distinct structures. The relativity programme asks how one source could generate their agreement, while keeping each quantity independently measurable throughout the reconstruction.
A finite update can supply a propagation bound, and suitable geometric assumptions can express that bound through a Lorentzian form. Further calibration is needed to select a metric scale, while physical clock and transport laws determine whether real apparatus realizes the corresponding transformations. Mathematical cone symmetry alone does not establish that operational agreement.
The clock studies make this issue concrete. A protected readout can ignore branching, while an ungated clock can respond to the same work differently. Both can accompany one record geometry. The central challenge is therefore a source-derived selection principle that removes this freedom and connects matter propagation, clock readings, and observer transformations.
Distinguish a finite-update bound, a band group velocity, and a physical signal cone before asking whether the same source fixes their shared conversion.
Explore exact and finite-calibration criteria for resolution-only clocks, together with countermodels showing why one realizable clock does not prove physical universality.
Follow cone geometry, conformal calibration, and physical boost realization as separate steps toward a common account of spacetime and material observers.
Introduce the relationship between spatial extension, temporal order, and the limiting speed. Use it as a bridge between the original cosmological discussion and later DTT reconstruction work.
Read article →Use mass–energy equivalence as a focused case study in translating familiar physics into the language of temporal generation. State the physical relation before discussing proposed interpretations.
Read article →Explain the draft’s criterion for a clock to respond to resolution while ignoring branching. The condition is expressed through the observable algebra accessible to the clock.
Read article →Use the ungated-clock countermodel to show that a realizable clock law need not be physically universal. Explain the extra selection principle required for all material clocks to agree.
Read article →Introduce the conditional relation connecting geometry, clock response, and matter transport. Explain why the interfaces and coefficients must be independently calibrated.
Read article →Explain the construction of a Lorentzian metric from a positive spatial metric and a temporal one-form. Identify the signature and nondegeneracy conditions required by the model.
Read article →Distinguish the existence of a shared limiting speed from the calibration of its numerical value. Use this distinction to clarify what a reconstruction has explained.
Read article →Compare automorphisms of a mathematical geometry with transformations realized by physical observers. Explain why frame richness is an additional requirement for identifying the two.
Read article →The glossary explains the vocabulary; the reading paths connect the ideas; the source register points to the original arguments.