One Equation, Any Domain
F = dp/dt works for physics. Epimechanics shows it works for anything that changes: beliefs, institutions, ecosystems. Same math, different substrate.
The mathematical grammar of change — derived from first principles, experiments designed, built collaboratively with AI.
What is this?
A generalized mechanics built from causal events — and a new way of doing theoretical science.
Derived, Not Assumed
Spacetime and quantum mechanics — including why amplitudes use complex numbers — derived from causal structure alone. No assumed physics.
Human + AI
Humans conceive the theory. AIs audit every proof, check every assumption, maintain consistency across papers. Faster iteration, fewer errors.
Roadmap
2026Run first experiment, publish U(1) derivation
2027Extend to irreversible systems, build domain applications
Long-termUnified framework for predicting change across all domains
The Framework
Two tracks: the conceptual framework and its physics foundations.
Conceptual Framework
Physics Foundations
123
Spacetime
Where the metric comes from
Quantum Mechanics
Where the wave function comes from
Complex Numbers
Why i appears in physics
New here? Start with Foundations in the conceptual track.
Recent Work
Epimechanics — Part 1.5: Causors
The periodic table problem for general mechanics. What are entities made of? Starting from bare causal events — state transitions with no assumed physics — and building upward through symmetry to energy, entities, and the composition hierarchy of the cause-plex.
WRITING
Mar 25Read more
Why 3+1: Observer-Selection Constraints on Spacetime Dimensionality in the Cause-Plex Framework
The cause-plex framework does not derive 3+1 dimensional spacetime from first principles. Instead, it explains why observers necessarily find themselves in 3+1 by showing that other dimensionalities fail to support the structural requirements for observer-class entities. This paper develops the selective convergence argument: n_t = 1 follows from the causal partial order; n_s = 3 follows from Tangherlini's orbital stability result and the knot-topology requirement for topologically non-trivial loop structures. The argument is honestly labeled as an observer-selection conjecture, not a derivation, and is shown to be strictly more defensible than Wolfram's singular convergence claim.
WRITING
Mar 25Read more
Cause-Plex and Quantum Mechanics: Deriving Quantum Structure from Multiway Causal Order
We derive quantum mechanical structure from the multiway cause-plex — the collection of all causally consistent histories consistent with a given initial state. Given Postulate Q' (the cause-plex is multiway), quantum mechanics follows via two convergent arguments: (1) Sorkin's grade-2 quantum measure — the minimal consistent probability theory on a multiway structure forces complex amplitudes; (2) a loop-phase argument native to the cause-plex — closed loop amplitude weights must form a minimal continuous group, which is uniquely U(1). The Wick rotation analogy provides corroborating structural motivation. Together these arguments, plus Gorard's continuum limit result, recover the full quantum formalism.
WRITING
Mar 25Read more
Cause-Plex and Spacetime: Deriving the Lorentzian Metric from Causal Structure
Formal derivation of the Lorentzian metric, Lorentz invariance, and energy conservation from cause-plex structure alone. The primitive is the causal event — a state transition with no assumed physics. Spacetime and energy emerge from structural properties of the cause-plex hypergraph.
WRITING
Mar 25Read more
Epimechanics — Series Map
Complete map of the epimechanics theory series: reading order, document relationships, proof status, and open questions. Start here to navigate the full framework.
WRITING
Mar 25Read more
Epimechanics — Part 2.5: Entity Interaction
How entities sustain, strengthen, weaken, or dissolve each other through external coupling. Trade, dependency, parasitism, and predation analyzed as coupling chain relationships between auto-causal loops. The foundation for understanding complex multi-entity systems.
WRITING
Mar 24Read more