R12

Joint closure and the realisation boundary

The requirements for a common physical model and the distinction between physical closure and the adopted actuality boundary.

Current foundationsPaper overview and reading guideManuscript PDF available

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Purpose

The question addressed

R12 states what a common physical model requires and separates physical closure from the adopted actuality boundary.

Mathematical starting point

Objects and premises used

  • The physical modules of R04 to R11 and the A6 realisation commitment of R01.

Main results

What the paper establishes

  • Requires one common model with compatible observations, records and stress accounting.
  • Separate solutions in different sectors do not by themselves establish a shared physical solution.
  • Distinguishes physical closure from the adopted realisation boundary.

Explanation

One history, not several

A quantum record model, a matter model and a gravitational solution each satisfying their own equations are not yet one physical history. R12 states what must be shown for them to be combined.

More on the mathematics page: Physical geometry and gravity →

Physical interpretation and scope

What connects this to physics

This is the PDT U layer: the requirement that physical modules belong to a common realised history.

Read, download and cite

Using this paper

R12. “Joint closure and the realisation boundary.” Phase Differential Theory current foundations. https://www.phasedifferentialtheory.com/foundations/r12

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Reading order is expository and is not a claim that each premise is derived in the preceding paper.