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The central aim is to refine the tension-redshift identification to be invariant across coordinate systems.

July 26, 2026Open Access

PUH Theorem 299 (Refinement to T298) — The Tension-Redshift Identification Made Coordinate-Invariant: λ/λ₀ = (−ξ·ξ)⁻¹, the Exponent Forced by the Newtonian Limit, and the Reciprocal Metric Form Replacing T193's Conformal Factor

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The central aim is to refine the tension-redshift identification to be invariant across coordinate systems.
Introduced a new invariant redshift factor V = √(−ξ·ξ) for static spacetimes.
Showed that the relation between proper time rate and invariant redshift correctly reduces to previous forms in Schwarzschild coordinates.
Provided proofs for the exponent and tension divergence in static spacetimes with Killing horizons.
The identification λ(x)/λ₀ = V⁻² is chart-independent and meets essential conditions like λ → λ₀ at infinity.
Proved that the exponent n must equal 2 under the Newtonian limit with effect size fixes.
Established that the tension diverges at Killing horizons, indicating static configurations require unbounded force.

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Randomized trial explores invariant tension-redshift identification in static spacetimes, suggesting broader applicability.

Brian Martell (2026) studied this question.

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