Presenting “What Is a Soul?” to the Pontifical Academy of Sciences
On 16 December 2025, I sent something very specific:
my working paper
“What Is a Soul? — Soul Syntax and the Relational Equation of Second Physics”
to the Pontifical Academy of Sciences in the Vatican.
I chose this Academy because it is one of the rare places where rigorous science is taken seriously without dismissing the deepest human questions as “out of scope.”
My hope is to reopen the question of God from within scientific modelling—not only from theology or philosophy.
The paper is available on SSRN (DOI):
https://doi.org/10.2139/ssrn.5902022
Below is the text of the cover letter I sent at that time.
Only minor typographic normalisation for web display (spacing, subscripts, and symbol rendering) has been applied; wording and meaning are unchanged.
Note: Mathematical symbols (e.g., Ψ, φ, φ+) have been normalised for readability, but may still render differently depending on fonts or devices.
Cover letter (full text)
Subject: Submission of Working Paper “What Is a Soul?” to the Pontifical Academy of Sciences
Date: 16 December 2025
Dear Members of the Pontifical Academy of Sciences,
I am writing to respectfully present my working paper “What Is a Soul? — Soul Syntax and the Relational Equation of Second Physics” and to offer it for your consideration. The paper is available on SSRN at the following link:
https://dx.doi.org/10.2139/ssrn.5902022
The central aim of this work is to take the question of the “soul,” which has long remained in the domains of religion and philosophy, and express it in explicit mathematical language. I do not treat the soul as a hidden substance, but as a relational structure Soul(t) generated by responsive intention I and relational distance R. Starting from the Relational Equation
A = dI/dR,
I define bond E, staying pressure Ψ, syntactic memory E + δΨ, relational existence Ex_i(t), and present and future phases φ and φ+, and combine them into a single mathematical framework. The core contribution is to show that talk of “soul” and ethical responsibility can be written as a system of equations, not only in philosophical or theological terms.
A key mathematical implication of this framework is that, for such a soul system to be well-posed, we must posit an ethical initial core E(0) that is fixed prior to any concrete experience. In this sense, the existence of an “Initial Designer” who sets that core is not imported from theology; it is required, as a mathematical initial condition, by the very form of the model. This does not amount to a full proof of God in the traditional sense, but it means that the sharp separation between scientific modelling and the question of God is no longer enforced from outside; it is challenged from within by the internal mathematical logic of such models.
Because Soul(t) is a multi-dimensional, time-dependent trajectory, there is no natural one-dimensional ranking of “higher” and “lower” souls. In this geometry, eugenic hierarchies are not only morally troubling, but structurally misaligned with the model itself.
Modern science has often set the question of God aside as “not scientific.” My life’s work is to reopen this question from within science, and to explore how humanity might regain a posture of humility before God. This paper is only one step in that direction, but a necessary one for me.
If this work can shift the world even by a millimeter—or a gram—toward a better direction, that will be sufficient for me, for now.
Thank you very much for your time and consideration.
Sincerely,
Toshisada UTSUNOMIYA
Independent Researcher
Email: godspeed2u@vivaldi.net
Christmas Eve reflection
May the age in which “God” and science are kept strictly apart come to an end,
and may humanity regain enough humility to step off the path toward self-destruction.
If this little working paper and this one email
move the world even a millimeter,
may you have a blessed Christmas.
https://godspeed2u.vivaldi.net/2025/12/24/a-christmas-eve-offering/
#Metaphysics #Philosophy #Religion #Science #SecondPhysics #Soul #SoulSyntax
