Comment by rednik06

TARS is a new theoretical framework that fundamentally reimagines the foundations of physics. Instead of assuming that reality is made of pre-existing entities (particles, fields, or spacetime itself), TARS posits that everything that exists is, at root, a relation. In this view, the universe is a dynamic network of coherence relations, and what we perceive as space, time, matter, and even physical laws, are emergent phenomena arising from this underlying relational web.

1. Motivation: The Crisis in Fundamental Physics

Modern physics, despite its immense successes, faces deep unresolved problems:

The incompatibility between General Relativity (GR) and Quantum Field Theory (QFT)—the so-called "quantum gravity problem."

The mystery of singularities (in black holes and at the Big Bang), the nature of time, and the unexplained phenomena of dark matter and dark energy.

The lack of a unifying principle that can reconcile the fragmented domains of current theories.

TARS responds to these challenges by proposing a radical ontological shift: relations, not entities, are fundamental. This shift is not just a new model, but a new grammar for describing reality.

2. Ontological Foundations: Radical Relationalism

Core Postulate:

"All that exists is relation."

There are no absolute, isolated objects. The very identity of any "entity" (particle, field, law) is defined by its pattern of relations with all others.

The universe is fundamentally non-separable: no part can be fully understood in isolation.

This principle generalizes quantum entanglement to a universal ontological status.

Realism and Symbiosis

Symbiotic Realism: Entities and their properties are co-constituted through mutual relations. There are no intrinsic properties, only extrinsic, dynamically co-created ones.

The observer is not external, but an active node in the relational web. Knowledge itself is a process of coherent participation in this network.

3. Mathematical Formalism

3.1. From Discrete Relations to Emergent Fields

At the most fundamental level, reality consists of discrete coherence relations, denoted ξ_{ij} (or quantum operators ξ̂_{ij}), between abstract nodes.

At emergent scales, these relations manifest as a continuous coherence field ϕ_{μν}(x), a symmetric tensor field encoding the density and structure of relational coherence at each emergent spacetime point.

The emergent metric is given by: g_{μν}(ϕ) = e^{2αϕ} η_{μν}

The Symbiotic Action is:

S[ϕ]=∫d4x−g(ϕ)[12gμν(ϕ)(∂μϕ)(∂νϕ)−V(ϕ)]S[ϕ]=∫d4x−g(ϕ)[21gμν(ϕ)(∂μϕ)(∂νϕ)−V(ϕ)]

where V(ϕ) is the relational potential.

3.2. Dynamics: Coherence, Dissonance, and Self-Organization

Local coherence (ξ_l) and global coherence (ξ_c) quantify the degree of relational compatibility.

The difference Δξ = |ξ_c − ξ_l| acts as a "relational tension," driving the system toward higher global coherence.

When Δξ exceeds a threshold, critical reorganizations occur (mediated by an operator F₀), leading to emergent order, the arrow of time, and the formation of physical laws.

3.3. Quantization and Emergence

TARS aspires to a quantum theory of relational fields, where quantization applies to the relations themselves, not to fields on a pre-existing spacetime.

The challenge is to mathematically derive how spacetime, matter, and interactions emerge from the dynamics of ξ̂_{ij}.

4. Phenomenological Implications

TARS provides new perspectives and solutions to major physical puzzles:

Singularity Resolution: The regularization of black hole and cosmological singularities emerges naturally from the relational dynamics.

Dark Matter/Energy: Gravitational anomalies are interpreted as regions of relational coherence deficit, not as unseen particles.

Inflation and Cosmology: The early universe's rapid expansion is modeled as a phase transition in the global coherence field.

Black Hole Evaporation: Predicts a slower, non-singular evaporation process, leaving stable remnants.

Consciousness and Life: Interpreted as high-order reflexivity in relational networks—consciousness is a self-referential coherence loop.

5. Scientific Achievements to Date

Full mathematical formalism: Action, field equations, emergent metric, and relational potentials.

Analytical derivations: For black hole interiors, dark matter effects, and cosmic inflation.

Numerical simulations: Demonstrating the propagation of coherence fronts and self-organization.

Distinct predictions: Such as black hole evaporation profiles and singularity avoidance, differentiating TARS from standard models.

White paper and technical documentation: Comprehensive and available for peer review.

6. Meta-Theoretical and Interdisciplinary Reach

TARS is not just a new physical theory; it is a meta-framework for understanding emergence, organization, and knowledge itself. Its principles can be applied to biology, neuroscience, social systems, and artificial intelligence, wherever complex relational networks give rise to emergent phenomena.

7. Conclusion

TARS offers a radical, mathematically grounded, and phenomenologically rich alternative to current foundational physics. By shifting the focus from entities to relations, it provides a unified language for the emergence of space, time, matter, and law. Its predictions are testable, its formalism is rigorous, and its implications reach far beyond physics, offering a new way to organize scientific and philosophical knowledge.