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Preprint . 2026
License: CC BY
Data sources: Datacite
ZENODO
Preprint . 2026
License: CC BY
Data sources: Datacite
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Union Dipole Theory (UDT) as a Structural Completion for String Theory: Internal Time τ, the Two-Clock Law, and UDP Topology as the Missing Selection Principle

Authors: Al-Mayahi, Abdulsalam;

Union Dipole Theory (UDT) as a Structural Completion for String Theory: Internal Time τ, the Two-Clock Law, and UDP Topology as the Missing Selection Principle

Abstract

This manifesto presents a structural diagnosis of the impasse in string theory. The background problem, the landscape degeneracy, and the loss of predictivity are traced to an unexamined one-clock assumption identifying measurement time t with physical evolution time. Union Dipole Theory (UDT) introduces internal time τ as the true evolution parameter and defines the clock-rate field χ(x,τ) via the Two-Clock Projection Law: dt = χ dτ d/dt = (1/χ) d/dτ Reparameterizing the action yields the χ-constraint: δS/δχ = 0 This equation is proposed as the missing dynamical selection principle eliminating non-coherent vacua and collapsing the landscape into a finite UDP-topology classification at the Planck scale. The Permeable Medium (PM) is identified as the physical substrate carrying χ, coupling photon propagation and matter dynamics. Mass is interpreted as local τ-slowdown, and gravity as χ-gradient structure. The manifesto places the string community before a forced structural choice: Either adopt two clocks and recover a selection principle, or retain one clock and accept permanent landscape indeterminacy.

Keywords

internal time; two-clock physics; τ; clock-rate field; χ(x,τ); Union Dipole Theory; UDP; Permeable Medium; string theory; landscape problem; background independence; selection principle; Polyakov action; Planck-scale topology; vacuum classification

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
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