Dimensional Chess: C1 through C8 / Note
Dimensional Chess C7: Horizon-Safe State Projection
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Read the source01 / THE QUESTION
Editorial guideWhich history and clock coordinates can be dropped safely within a finite horizon, and does that let the start-position mate frontier reach nine plies?
02 / WHAT THE RECORD SAYS
Source passageC7 proves a new finite statement and supplies a reusable state-quotient theorem: terminal-rule coordinates need be retained only when they can cross their threshold within the remaining horizon.
03 / LIMITS & OPEN POINTS
Source passageThe quotient makes the computation feasible but does not remove exponential growth.
04 / THE NEXT QUESTION
Source passageA full solution needs proof-carrying lower and upper bounds that summarize large sets of continuations, together with a complete treatment of every terminal rule.
05 / CHECKS IN THE RECORD
Source passageThe verifier imports no C7 solver code. It independently reconstructs the candidate prefix, defender draw actions, and AND/OR recurrence using the audited legal-state engine. It reproduces every reported result and all node, edge, cache, horizon, and terminal counts at depths seven and nine.
Read this passage in context →Previous connections
- Dimensional Chess C6: Legal Exchange Dependenciesseries order (mechanical)
- Dimensional Chess: Initial-Position Mate Frontier R1reading (verified)
Following connections
- Dimensional Chess C8: Movement-Frequency Relationsseries order (mechanical)
Source & provenance
- Access
- Public
- Dates declared in the record
- Date: 15 September 2026
- Project basis
- Explicit project source citation
- Origin
- d0re research collection (snapshot 1 October 2026)
- Original path
- /Dimensional_Chess_Horizon_Projection_C7.md
- Authorship basis
- Collection attribution; original record retains its own credits
- Title basis
- From the source
- Date
- 15 Sept 2026 · saved
- Status basis
- r-709ba3d90a0c re-uses rather than replaces C7's theorem: "This is a repeatable computation-allocation improvement, not a stronger game theorem. The independently verified nine-ply result was already established by C7."
- Size
- 6,505 bytes
- Word count
- 991 words
- SHA-256 of indexed source
- bc77a3eb88d2bbf852a012d722cfe89eae95c404939c0815bfcc14ed062c6590
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Dimensional Chess C7: Horizon-Safe State Projection Version 7 2026-09-15 d0re research record r-bc77a3eb88d2 https://www.d0re.com/library/records/r-bc77a3eb88d2.html Authorship basis: Collection attribution; original record retains its own credits Date basis: saved Source SHA-256: bc77a3eb88d2bbf852a012d722cfe89eae95c404939c0815bfcc14ed062c6590