Strike 3: The Pure Mathematics & Probability
Target Venue: Journal of Mathematical Physics (JMP) or Communications in Mathematical Physics (CMP)
Target Audience: Mathematical physicists, probabilists, and discrete geometry theorists.
Draft Name: paper_1c_math_JMP.tex
Publication Strategy
This paper extracts the "Pólya Recurrence" insight from the Master Key. It is a dry, axiom-driven mathematical proof. Reviewers here are immune to physics buzzwords; they only care about theorem rigor and bounds.
To survive peer review:
- Focus on Probability: Frame the problem as random walks on directed acyclic graphs (DAGs) representing discrete spacetimes.
- The Recurrence Threshold: Prove that the requirement for recurrent classical correlations (information returning to its origin) mathematically bounds the topological dimension of the DAG to
d \le 2. - Eliminate Physics Metaphors: Remove words like "observers" or "scrambling." Replace them with "recurrent random walks" and "transient diffusion states."
Success Metric
This establishes an airtight mathematical theorem that no physicist can debate. It proves that any universe requiring localized memory must mathematically collapse to d \le 2.