What question did this study set out to answer?

The research presents TCF(£), a unified theory that explains causal generation and the emergence of four-dimensional physics.

May 15, 2026Open Access

TCF(£): A Unified Theory of Causal Generation and the Emergence of 4‑Dimensional Physics

Key Points

The research presents TCF(£), a unified theory that explains causal generation and the emergence of four-dimensional physics.
Developed a two-level theoretical framework emphasizing combinatorial causal generation.
Utilized Poisson generation law and causal identities to determine dynamics.
Showed how causal structures yield conformal properties and metric scales.
Identified that dimension 4 is uniquely selected through causal flux stability.
Emergent Hausdorff topology is established in the limit N→∞.
Demonstrated that quantum mechanics and general relativity are projections of causal dynamics.

Abstract

TCF(£) is a two‑level theory of causal generation. Level 1 is purely combinatorial, defined by one causal axiom, a universal quantum £, a minimal time T0, and a maximal causal flux. A Poisson generation law and a causal Mecke–Slivnyak identity fully determine the dynamics. The stability of the flux selects dimension 4 uniquely. A Hausdorff topology emerges in the limit N→∞. Level 2 physics arises by smoothing: the causal order yields the conformal structure, the global parameter 1/N fixes the metric scale, and quantum mechanics and general relativity appear as complementary projections of the same causal dynamics. No free parameters remain at Level 2.

TCF(£): A Unified Theory of Causal Generation and the Emergence of 4‑Dimensional Physics

Key Points

Abstract

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