[Paper Review] Response to 2512.23460[hep-ph] by Czarnecki and Khanna ("False vacuum decay and flaws in Frampton's model for the origin of life")

P. H. Frampton|arXiv (Cornell University)|Jan 8, 2026

Origins and Evolution of Life0 citations

TL;DR

The author回应 defends their earlier work on vacuum decay, clarifies that Planck’s constant appears in quantum tunneling amplitudes, and notes a missing citation; they reaffirm conclusions given their assumptions.

ABSTRACT

We respond to a critique 2512.23460[hep-ph] of our paper 2505.05634[hep-ph]

Motivation & Objective

• Clarify the role of Planck’s constant in the quantum tunneling amplitude within their model.
• Address criticisms raised in 2512.23460[hep-ph] of their 2505.05634[hep-ph].
• Reaffirm conclusions under the stated assumptions of their paper.

Proposed method

• Argue that Planck’s constant appears naturally in the relativistic quantum field theory vacuum decay calculation.
• Reference more complete formulas in their prior work (ref[8]).
• State that, despite assumptions, the critique did not invalidate their conclusions under those assumptions.

Experimental results

Research questions

• RQ1 What is the correct role of Planck’s constant in the vacuum decay calculation within Frampton’s model?
• RQ2 Do the criticisms in 2512.23460[hep-ph] undermine the assumptions and conclusions of 2505.05634[hep-ph]?
• RQ3 How do complete formulas modify the interpretation of vacuum decay in relativistic quantum field theory?

Key findings

• Planck’s constant is not inserted merely by dimensional arguments but arises in the quantum tunneling amplitude.
• More complete formulas supporting the result are available in ref[8].
• The authors contend that, under their assumptions, their conclusions about the model remain exceedingly likely (humankind isolation claim is stated as a concluding remark).