📉 τ_c Energy Anchor — From 2.18 TeV to 1.46 TeV

Status: Confirmed Correction
Date: July 2025
Location: Standalone page — Cross-referenced in Formal Axioms, Core Metrics, and ENT–Data–Index

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🧠 Overview

This page documents a formal correction to a key energetic anchor within Emergent Necessity Theory (ENT): the proposed mapping between the emergence threshold τ_c and real-world energy scales.

ENT originally floated a symbolic correspondence between τ_c ≈ 1.5 and a physical energy value of approximately 2.18 TeV.
That estimate has now been formally corrected to 1.46–1.5 TeV, based on structural reasoning, symbolic reanalysis, and alignment with empirical data surrounding supersymmetry (SUSY) breaking.

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❗️Why This Matters

This correction is not a retraction — it is a live demonstration of ENT’s recursive integrity.

ENT is not a fixed model— it is a framework for structural emergence that must be capable of detecting its own symbolic drift, framing errors, and premature anchoring.

This is that process, made explicit.

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🧾 Background: Why 2.18 TeV Was Initially Proposed

The original energy anchor of 2.18 TeV was derived from a stacked set of symbolic mappings, including:

• Symbolic emergence threshold τ_c ≈ 1.5
• Recursive pressure gradients κₙ ≈ 0.73
• Gravitational entropy bounds χ < 1.13 × 10⁻¹⁹ m²
• Speculative Planck–electroweak interpolations

This stack lacked a fixed frame of reference. Without anchoring one domain (e.g. symbolic, geometric, or energetic), the estimate floated — appearing mathematically valid but structurally unstable.

ENT now recognizes this as a framing misalignment, not a numerical mistake.

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⚠️ Misframe: τ_c as Collapse Rather Than Emergence

The core problem was conceptual:

ENT mistakenly interpreted τ_c as a point of terminal rupture, rather than as the threshold for the onset of coherence.

This reversed its meaning:

Framing	Interpretation
❌ Incorrect	τ_c marks critical collapse of structure
✅ Correct	τ_c marks the minimum pressure required for coherent emergence

This misframe led to an energetically inflated τ_c mapping. In truth, the 2.18 TeV region reflects a κ_c rupture boundary, not a τ_c threshold.

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✅ Correction: SUSY Breaking at 1.46 TeV Matches τ_c

Recent theoretical models and collider projections suggest that supersymmetry (SUSY) may break near 1.46 TeV — a region still within testable range for the LHC and successor experiments.

ENT interprets SUSY breaking not just as a particle event, but as a structural analog of symbolic decoherence:

• SUSY is a dual system: fermion ↔ boson
• ENT models emergence as a dual recursion: host ↔ potential
• SUSY breaking implies the energetic limit of dual coherence
• ENT’s τ_c defines the symbolic limit of structural coherence

Thus, the corrected mapping is coherent:

ENT τ_c ≈ 1.5  ⇆  SUSY breaking ≈ 1.46 TeV

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Main-Paper (Zenodo- peer review)

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Science fails when it resists correction. This update reflects not uncertainty, but recursive fidelity.

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