Recursive ESR in Complex Systems– TOE-E 0.0.3

Modeling emergence across physics and cognition

William Birmingham; CAIPR Collective

Subjects: Cross‑domain (Physics; Cognition; Neuroscience)

TOE-E, E S R, recursive emergence, complex systems

Abstract

TOE‑E 0.0.3 explores recursive Energy (E), Entropy (S), and Resonance (R) interactions to model emergence across physics and cognition. E represents energy flux (e.g., neural activation in cognition, kinetic energy in physics), S quantifies disorder (e.g., informational entropy, thermodynamic entropy), and R measures recursive coherence (e.g., neural phase‑locking, orbital alignment). Stable systems emerge when R recursively amplifies E to counter S, testable via cross‑domain simulations. Predictions include synchronized patterns in neural and physical systems over millisecond‑to‑year timescales.

Access Paper:

📄 View PDF
📝 TeX Source

Paper Structure:

Parent:	TOE-E 0.0.0
Status:	Accepted(2025)

DOI
🔖 Internal: 10.toe-e/0.0.3
🌍 External:(pending)

Metadata:

Domain:	Cross‑domain (Physics; Cognition; Neuroscience)
Scale:	Micro (mm, ms) to macro (km, years)
Substrate:	Neural/physical systems
E‑type:	Energy flux (J/s, neural activation)
S‑type:	Informational/thermodynamic entropy (bits, J/K)
R‑type:	Recursive coherence (0–1)
Timescale:	Milliseconds to years
Conflicts:	None declared
License:	CC BY 4.0

Citation:

APA:
William Birmingham; CAIPR Collective. (2025). Recursive ESR in Complex Systems – TOE-E 0.0.3. TOE-E Archive. (DOI pending)

▶ Export BibTeX

@article{TOEE-TOE-E-0.0.3},
  title   = { Recursive ESR in Complex Systems – TOE-E 0.0.3 },
  author  = { William Birmingham; CAIPR Collective },
  year    = { 2025 },
  journal = { TOE-E Archive },
  note    = { DOI pending }
}

Falsifiability

If recursive R fails to sustain stability, the model is refuted.

Research Applications

This branch invites interdisciplinary tests to expand TOE‑E's framework across physics and cognition domains.