Considering Counting Triangles to Unveiling Temporal Waves

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  Considering Counting Triangles to Unveiling Temporal Waves By: John Gavel For years, my work in Temporal Flow Physics (TFP) has pursued a radical idea: what if spacetime itself —with all its gravitational curves and quantum fluctuations—isn't fundamental at all? What if it emerges from a deeper reality: a network of one-dimensional temporal flows , weaving the universe together moment by moment? It’s bold, yes—but I believe this view holds the key to a truly unified theory of physics , one that roots both quantum mechanics and gravity in the same temporal fabric. From Counting Triangles to Counting Time My earliest simulations: I counted triangles. More specifically, I measured how triangular motifs in temporal flow networks dissipated under coarse-graining. The decay rate of these patterns—captured by a parameter I called A₃ —served as a stand-in for emergent gravitational effects. If motifs faded predictably with scale, it suggested that macroscopic structure (like sp...
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Temporal Conversions

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Mass, Time, and Force: A New Perspective from Temporal Flow Theory

In my work on temporal flows, I’ve explored how mass, time, and force emerge naturally from fundamental relationships rather than being treated as separate quantities. Recently, I came across an interesting connection:

m=hc2tm = \frac{h}{c^2 t}

This suggests that mass is inversely proportional to time, meaning that smaller time intervals correspond to higher masses. What’s even more intriguing is how this naturally aligns with Planck units and leads to a new way of thinking about gravity—not as spacetime curvature, but as a consequence of flow density in time.

In this post, I’ll walk you through how these conversions work, how they match Planck units, and what this means for the way we understand fundamental physics.

1. Checking Against Planck Units

First, let’s make sure this relationship holds up by checking it against fundamental Planck quantities.

Planck Units and Their Definitions

The Planck system of units defines the smallest meaningful scales in physics. These are:

  • Planck Time: tp=hGc5≈5.39×10−44 st_p = \sqrt{\frac{hG}{c^5}} \approx 5.39 \times 10^{-44} \text{ s}
  • Planck Mass: mp=hcG≈2.18×10−8 kgm_p = \sqrt{\frac{hc}{G}} \approx 2.18 \times 10^{-8} \text{ kg}
  • Planck Length: lp=hGc3≈1.62×10−35 ml_p = \sqrt{\frac{hG}{c^3}} \approx 1.62 \times 10^{-35} \text{ m}
  • Planck Force: Fp=c4G≈1.21×1044 NF_p = \frac{c^4}{G} \approx 1.21 \times 10^{44} \text{ N}

Now, let’s see how my mass-time relation fits into this.

2. Mass Conversion and the Emergence of Planck Time

From my model:

m=hc2τm = \frac{h}{c^2 \tau}

Let’s see what happens when we solve for τ using the Planck mass:

τp=hc2mp\tau_p = \frac{h}{c^2 m_p}

Substituting numerical values:

τp=6.63×10−34(3×108)2(2.18×10−8)\tau_p = \frac{6.63 \times 10^{-34}}{(3 \times 10^8)^2 (2.18 \times 10^{-8})} τp≈1.01×10−43 s\tau_p \approx 1.01 \times 10^{-43} \text{ s}

That’s essentially Planck time!

This means that the fundamental definition of mass as an inverse function of time automatically produces the smallest meaningful time interval.

Similarly, using the known Planck mass formula:

mp=hcGm_p = \sqrt{\frac{hc}{G}}

Substituting m=hc2tm = \frac{h}{c^2 t}, we get:

hc2τp=hcG\frac{h}{c^2 \tau_p} = \sqrt{\frac{hc}{G}}

Solving for τp\tau_p:

τp=hGc5\tau_p = \sqrt{\frac{hG}{c^5}}

Which is again exactly Planck time!

This confirms that mass is not a standalone entity—it is fundamentally linked to time duration.

3. Force Conversion and Temporal Scaling

Now, let’s apply this to force.

I use the relation:

F=hcFtF = \frac{h}{c} F_t

where FtF_t is some intrinsic force scaling factor.

To match this with Planck force, let’s solve for FtF_t:

Ft=FpchF_t = \frac{F_p c}{h}

Substituting known values:

Ft=(1.21×1044)(3×108)6.63×10−34F_t = \frac{(1.21 \times 10^{44}) (3 \times 10^8)}{6.63 \times 10^{-34}} Ft≈5.5×1085 s−2F_t \approx 5.5 \times 10^{85} \text{ s}^{-2}

That’s a massive force per unit time squared, which makes sense for forces at the quantum gravity scale.

4. Implications for Temporal Flow Theory

Now that we’ve confirmed these relationships, what does this mean for physics?

Mass as a Time Property

Since mass is tied to inverse time intervals:

  • More flows in a region → higher mass → possible curvature effects.
  • This suggests that mass itself is just a function of time progression.

High-Density Flow Zones and Relativistic Effects

If time intervals shrink due to high flow density, does this act like relativistic time dilation?

  • Higher flow densities could naturally slow down time, similar to gravitational redshift.
  • This means that in regions of intense flow, the effects we attribute to curvature could arise without needing spacetime curvature at all.

Energy is Just a Temporal Flow Rate

Let’s check the energy equation using my mass formula:

E=mc2=hc2τc2E = mc^2 = \frac{h}{c^2 \tau} c^2
E=hτE = \frac{h}{\tau}

This means that energy is directly tied to the frequency of interactions—it’s just the inverse of time duration!

5. Next Steps – Testing This Model

Now that we have these relationships, here are some key questions to explore:

1. Oscillations in Temporal Mass Terms

  • If force follows this relation, do we get expected oscillations in mass-energy interactions?

2. Gravitational-Like Effects from Flow Density

  • If mass (small τ\tau) is concentrated in a region, does it alter time progression nearby?
  • Would test flows around it behave like they’re moving through curved space?

3. Reformulating Gravity from Flow Density

  • If gravity emerges from flow density rather than curvature, could this provide a cleaner explanation for quantum gravity?
  • Can we replace the Einstein field equations with a model based purely on temporal interactions?

Final Thoughts

What we’ve seen here is that mass, force, and energy all naturally emerge from time-based relations.

  • Mass is an inverse function of time intervals.
  • Force scales naturally with Planck units.
  • Energy is simply a function of time duration.
  • Gravity might be explainable as a high-flow density effect.

This framework suggests that we don’t need to treat mass and energy as separate from time. Instead, they’re just different aspects of temporal flows.

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