u/CaseyMc80

It seems odd that we talk about matter in terms of particles and subparticles, and at the same time we describe their detail as a quantum wave?

It seems the smaller we zoom in, the clearer things get: "There are no particles; only waves". So why are we so fond of the particles?

Given these are language-based system, if an idea or concept can be built using words first, and once that ontologically comes then generate numerics, would they do a better job?.

e.g. what does an LMM tend to generate given a word-based bridge:

1. Quantum mechanics says matter can be described in phase-bearing amplitudes.​

2. Relativity says mass-particle phase is proper-time phase.

3. Relativity also says gravity generates time dilation.

4. So can gravity can be modeled where time dilation in the phase accumulation is mass.

I seem to get responses in this direction:

For a free massive relativistic particle, the standard action is S = −mc^2 ∫ dτ.

Given ϕ=S/ℏ, then​ ϕ =−((mc^2)/ℏ) ​∫ dτ, for uniform free motion, ϕ=−((mc^2)/ℏ) . τ.

Therefore the phase of mass ω_m​ = ​| dτ/dϕ​ |​ = mc^2​/ℏ.

This is the standard Compton clock written as phase accumulation along proper time. Mass is a proper-time phase rate.​

General relativity says the Einstein field equations relate spacetime curvature to stress-energy:

G_μν​ + Λg_μν​= (8π/c^4​) . T_μ

In Schwarzschild radius r_S, a stationary clock gives dτ = dt . sqrt(1 − r_S/r)

So gravity changes clock rate, as per gravitational time dilation.

The Key Bridge:

Quantum phase evolves as:

dϕ=−mc2/ℏ . dτ

But gravity changes dτ, therefore gravity changes dϕ.d

So: gravity is a time dilation in the phase accumulation as mass.

Geometric Structure of the idea:

• ℂℙ² with Fubini-Study Kähler form ω
• Berry connection A = -iZ†dZ
• Phase along curve: φ = ∫A

Postulate: The persistent state is the closed phase circuit: ∮A = 2πm₀

Derivations:

Phase rate = m₀γ where γ = 1/√(1-v²/c²)

Define: dτ = dφ/m₀ = dt/γ

Result:

dτ=dt1−v2/c2​​

This is Einstein's time dilation formula.

So if

• Persistent matter is a stable frequency of recurrence.
• Time is not primitive, but the accumulative phase count

Then special relativity emerges from symplectic geometry.

MODEL BONUS:

The total geometric internal ray space is the sum of its natural volume forms across its fold structure. For ℂℙ² the natural 2n-volumes are given by V_2n(1) = π^n/n!. Therefore:

V_2 = π^1/1! = π

V_4 = π^2/2!, = (π^2)/2

V_6 = π^3/3! = (π^3)/6

Using the symmetry group constraints of the ℂℙ² manifold (ω_1= 1; ω_2= 2; ω_3= 24) we define the Total Projected Bulk (B) as the weighted sum of three projections:

B = ω_1*V_2 + ω_2*V_4 + ω_3*V_6

so that B = π + π^2 + 4π^3

The Hirzebruch signature of the 4-manifold (192π^2) defines a boundary curvature Euler correction so that alpha^(i^2) = B - γ/(192π^2)