From Numbers to Mass
From Numbers to Mass — Exploring How Constants Shape Reality
Numbers as Building Blocks
Numbers start simple: 1 is a point (no size).
Square it to get 2 — a line with length √2.
Square again to 4 — a flat area.
Cube to 8 — true volume, something with depth and weight.
This progression turns pure idea into something that feels real — from nothing to mass.
Key Constants in Nature
Three special numbers appear everywhere:
π ≈ 3.14159... — shapes circles and spheres.
e ≈ 2.718... — drives growth and change.
φ (golden ratio) ≈ 1.618... — creates balanced spirals and proportions.
These "irrational" constants help build structures: π for curves, e for expansion, φ for harmony.
Example: A sphere of radius 1 has volume ~4.188 cubic units (4/3 π). Assign density 1 gram per unit —
mass = 4.188 grams.
Numbers don't just describe — they seem to create form and weight.
Unifying the Constants
Careful calculations merging π, e, and the fine-structure constant α (≈1/137) produce a value very close
to the mass of one hydrogen atom (~1.674 × 10⁻²⁷ kg or equivalent in grams).
This unification turns abstract numbers into the mass of the universe's most common atom.
Like a "threefold cord" — strong and unbroken (Ecclesiastes 4:12).
Merging constants π e α produced the # for 1 Hydrogen Atom Mass = 0.673534 x 10-24 gram.
From numbers to mass. Pythagoras realized 2600 years ago that “all things are numbers”.
Key numbers:
π 0.998360679993430677358957... [(π4 / 100) √4x] notice: (√5 = 2.2360679.../ 2) + .5 = ɸ
Bringing three constants to approximate equal number size:
(like matching three rope ends prior to braiding)
π 18977.06203214114801425715... π8 + π8
e 18384.99684414842519000592... (e/2)2 5x
α 18778.86507842997134984534... my α result v.s. the official result thus far 137.035999206 2
The fine-structure constant page explains how phi is part of it's solution:
ɸ 0.000181030139154203095606... 1 / [{(ɸ + 1) / 2}2 5x]
The accuracy of α beyond 137.035999206 is not yet officially known, but we do know the exact
strings for π, e and ɸ. The numbers derived entirely from π and ɸ are marked in front with
these symbols. Though α and e do not seem part of the following calculations, they are.
The three, π, α and e are closely linked, with π representing one face or visible side,
and α and e representing the two hidden sides, as in a triangle.
Steps to follow:
The numbers in black include my 137.03599920615... 2 result, which extends beyond
the officially accepted finding of 137.035999206 2, and so has to be validated in time.
Add up the 3 results: ( π e α )... =
56140.92395471954455410841... √6x =
1.186335408765817225656857... – 1 =
0.186335408765817225656857... √10x =
0.998360518315085907691801
Using π this section is reversed:
π 0.998360679993430677358957... 2 10x =
π 0.186366311419756281754554... + 1 =
π 1.186366311419756281754554... 2 6x =
π 56234.59475187846695461634...
π 0.998360679993430677358957... 1/x =
π 1.001642011789346621249413... +
π 0.998360679993430677358957... =
π 2.000002691782777298608371... – 2 =
π 0.000002691782777298608371...
π 56234.59475187846695461634... /
π 1.001642011789346621249413... =
π 56142.40825564039434965495...
Subtract:
56140.92395471954455410841... =
1.484300920849795546533856... 1/x =
0.673717833057381373749601... –
ɸ 0.000181030139154203095606... –
π 0.000002691782777298608371... =
0.673534111135449872045623... + (x 10-24)
Official constant value:
0.673534 x 10-24 gram = 1 Hydrogen Atom Mass
Accuracy of this result depends on a correct α value, and visa versa.
A threefold cord whose numbers unified as one, represents mass, the Hydrogen Atom.
Numbers transformed into mass!
π e α - "and a threefold cord is not quickly broken." Ecclesiastes 4:12
Open Wonder
From a dimensionless point to atoms and stars, numbers bridge the invisible to the tangible.
Is mass simply numbers given form? A glimpse of deeper design?
These are exploratory ideas — patterns inviting thought, not proven facts.
Numbers connect everything.
What do you see?