What question did this study set out to answer?

Re-evaluate the mathematical framework of Quantum Field Theory by replacing infinite integration domains with finite holographic thermodynamic bounds.

August 16, 2026Open Access

The Holographic Path Integral: Volume-Dependent Cutoffs, Axiomatic Rigor, and the Topological Regulation of Quantum Field Theory Anomalies

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AMAlex Maestrini

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Implication

Theoretical modeling demonstrates finite holographic truncation resolves quantum field theory divergences, suggesting long-standing anomalies stem from continuous integration assumptions.

Key Points

Re-evaluate the mathematical framework of Quantum Field Theory by replacing infinite integration domains with finite holographic thermodynamic bounds.
Truncated the Feynman Path Integral measure at the finite Bekenstein-Hawking capacity limit of the macroscopic Kodama horizon.
Constructed finite-dimensional Lebesgue measures and Renormalization Group flows governed by a discrete boundary ledger of 10^122 variables.
Derived a volume-dependent UV cutoff regulating vacuum fluctuations at ~214 MeV to suppress the 10^120 cosmological constant discrepancy while supporting local collider cutoffs of ~10^14 GeV.
Eliminated infrared Bremsstrahlung divergences, bypassed Haag's Theorem, and rendered the perturbative Dyson series strictly convergent as a finite polynomial bounded by N_max ~ 10^122.
Truncated the infinite cascade of counterterms for Einstein-Hilbert spin-2 tensor perturbations via the geometric Bekenstein bound.

Cite This Study

Alex Maestrini (2026) studied this question.

synapsesocial.com/papers/6a817a91f2fb91fc834ae7d5 https://doi.org/10.5281/zenodo.21946756

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Implication

Theoretical modeling demonstrates finite holographic truncation resolves quantum field theory divergences, suggesting long-standing anomalies stem from continuous integration assumptions.

The Holographic Path Integral: Volume-Dependent Cutoffs, Axiomatic Rigor, and the Topological Regulation of Quantum Field Theory Anomalies

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Member takes

Implication

Key Points

Cite This Study

The Holographic Path Integral: Volume-Dependent Cutoffs, Axiomatic Rigor, and the Topological Regulation of Quantum Field Theory Anomalies

Discussion

Member takes

Implication

Key Points

Cite This Study

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