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Clocks, cones, and observers

Connecting generated geometry with relativity

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.

Limiting speed

Distinguish a finite-update bound, a band group velocity, and a physical signal cone before asking whether the same source fixes their shared conversion.

Clock selection

Explore exact and finite-calibration criteria for resolution-only clocks, together with countermodels showing why one realizable clock does not prove physical universality.

Lorentzian reconstruction

Follow cone geometry, conformal calibration, and physical boost realization as separate steps toward a common account of spacetime and material observers.

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A015Geometry & relativity4 min

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.

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A019Geometry & relativity4 min

The Mass-Energy Equivalence

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.

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The glossary explains the vocabulary; the reading paths connect the ideas; the source register points to the original arguments.

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