The Borda–Milan Principle: Emergent Spacetime from Finite Relational Structures
Authors/Creators
Description
This work introduces the Borda–Milan Principle, a foundational framework proposing that spacetime, gravity, matter, and probabilistic behavior may emerge from finite relational structures governed by local compatibility and contractive refinement dynamics.
Rather than assuming spacetime as a fundamental background, the model explores how geometric structure can arise as the stabilized limit of iteratively refined compatibility relations. Within this framework:
spatial distance emerges as a compatibility cost,
time corresponds to the progression of convergence toward structural stability,
gravity arises from gradients in compatibility density,
matter appears as persistent coherence attractors,
energy corresponds to the rate of structural convergence,
probabilistic behavior emerges from fluctuations among competing refinement paths.
The proposal is formulated using concepts from metric geometry, graph structures, and contractive mappings, connecting emergent physical structure with fixed-point theory.
This manuscript presents a conceptual and mathematical architecture together with falsifiable predictions, including residual geometric fluctuations and stabilization limits replacing singularities. The work is intended as an exploratory contribution to the foundations of physics and is offered to encourage analysis, critique, and further development.
Scientific Context
The framework relates to ongoing research programs investigating emergent spacetime, relational physics, and discrete geometric models, while introducing a distinct mechanism based on contractive refinement dynamics.
Intended Audience
Researchers in:
theoretical physics
mathematical physics
complex systems
geometry and dynamical systems
foundations of science
Notes (English)
This preprint introduces the Borda–Milan Principle as a foundational proposal exploring the emergence of spacetime, matter, and physical dynamics from relational compatibility structures governed by contractive refinement.
The manuscript is intended as an exploratory framework rather than a completed physical theory. Its purpose is to present a coherent mathematical and conceptual architecture inviting analysis, critique, and further development within the foundations of physics.
The author does not propose replacement of established physical theories, but suggests a possible deeper structural layer from which familiar descriptions may emerge as effective limits.
Feedback, critical examination, and independent investigation are welcomed.
Files
Borda-Milan_Principle_Preprint_v1.pdf
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Additional details
References
- Einstein, A. (1915). Die Feldgleichungen der Gravitation. Sitzungsberichte der Preussischen Akademie der Wissenschaften.
- Minkowski, H. (1908). Space and Time. Physikalische Zeitschrift, 10, 104–111.
- Jacobson, T. (1995). Thermodynamics of Spacetime: The Einstein Equation of State. Physical Review Letters, 75, 1260–1263.
- Rovelli, C. (2004). Quantum Gravity. Cambridge University Press.
- Bombelli, L., Lee, J., Meyer, D., & Sorkin, R. (1987). Space-Time as a Causal Set. Physical Review Letters, 59, 521–524
- Wheeler, J. A. (1990). Information, Physics, Quantum: The Search for Links. In Complexity, Entropy and the Physics of Information.
- Anderson, P. W. (1972). More Is Different. Science, 177(4047), 393–396.