What question did this study set out to answer?

The aim is to derive perturbative quantum field theory amplitudes from the framework of Modal Triplet Theory (MTT).

January 23, 2026Open Access

Modal Triplet Theory: Quantum Amplitudes from Modal Geometry

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Derives quantum amplitudes in spacetime using Modal Triplet Theory, suggesting its validity in quantum physics contexts.

The aim is to derive perturbative quantum field theory amplitudes from the framework of Modal Triplet Theory (MTT).
Developed a locally covariant algebraic quantum field theory within a globally hyperbolic four-dimensional spacetime.
Utilized Haag Kastler net structure and time slice axiom for establishing causal locality and propagation.
Constructed interactions through perturbative algebraic methods, employing the Bogoliubov map for observable definitions.
Applied dimensional regularization and minimal subtraction as part of the renormalization process.
Derived standard Feynman rules and loop corrections as inherent outcomes of the algebraic construction.
Scattering amplitudes exist under specific conditions, based on asymptotic particle states in certain spacetime regimes.
Effective couplings and mass parameters align with those of the Standard Model when evaluated with low energy inputs.

Peter Nero (2026) studied this question.

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January 23, 2026Open Access

View Full Paper

Ask AI

Bookmark

Authors

Derives quantum amplitudes in spacetime using Modal Triplet Theory, suggesting its validity in quantum physics contexts.

The aim is to derive perturbative quantum field theory amplitudes from the framework of Modal Triplet Theory (MTT).
Developed a locally covariant algebraic quantum field theory within a globally hyperbolic four-dimensional spacetime.
Utilized Haag Kastler net structure and time slice axiom for establishing causal locality and propagation.
Constructed interactions through perturbative algebraic methods, employing the Bogoliubov map for observable definitions.
Applied dimensional regularization and minimal subtraction as part of the renormalization process.
Derived standard Feynman rules and loop corrections as inherent outcomes of the algebraic construction.
Scattering amplitudes exist under specific conditions, based on asymptotic particle states in certain spacetime regimes.
Effective couplings and mass parameters align with those of the Standard Model when evaluated with low energy inputs.

Peter Nero (2026) studied this question.

View Full Paper

Ask AI

Bookmark