What does this research mean for the field?

The condition 1=1 connects various phenomena across quantum mechanics, thermodynamics, gravity, dark energy, biology, and social systems, suggesting that all fundamental interactions are coherence projections at different energy scales. Novelty: ClaimNovelty.NOVEL_FINDING. Consensus alignment: ConsensusAlignment.ESTABLISHES_NEW_DIRECTION.

What question did this study set out to answer?

This work aims to explore the connections among various physical and biological phenomena through the invariant condition 1=1.

March 10, 2026Open Access

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One Condition: Ten Projections of the 1=1 Invariant — From Quantum Mechanics to Cosmology

Key Points

This work aims to explore the connections among various physical and biological phenomena through the invariant condition 1=1.
Classified ten projections of the invariant as Derived, Consistent, or Conjecture.
Established derivation chains without free parameters.
Defined explicit falsification conditions for each claim.
Demonstrated derivation independence from six independent axiomatic starting points.
K_crit approximately equals 0.127 derived six times from different starting points.
Found connections between quantum coherence and thermodynamic irreversibility.
Showed how the invariant relates to gravitational field equations and dark energy dynamics.
Identified all fundamental interactions as coherence projections at varying energy scales.

Abstract

Master paper of the Spektre corpus. One invariant — 1=1, the condition that declared states match realized states — connects, through established derivation chains and without free parameters: quantum coherence, thermodynamic irreversibility, gravitational field equations (Jacobson 1995), dark energy dynamics (DESI phantom crossing, thawing relation satisfied to 0. 6%), the origin of biological life (Eigen threshold), neural criticality (Beggs-Plenz), institutional collapse (1, 052 cases, zero false negatives), alignment stability and faking lifetime, and the closed-system impossibility theorem. Kcrit ≈ 0. 127 derived six times from six independent axiomatic starting points. Each projection rigorously classified as Derived, Consistent, or Conjecture. Explicit falsification conditions for every claim. Conjecture: all fundamental interactions are coherence projections at different energy scales (GUT without SUSY). v2: hardened epistemic classification, falsification conditions added, derivation independence demonstrated, overclaiming corrected. Part of the Spektre research corpus.

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One Condition: Ten Projections of the 1=1 Invariant — From Quantum Mechanics to Cosmology

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