Considering Counting Triangles to Unveiling Temporal Waves

  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...

Temporal physics Temporal mechanics.

 In my model, I propose a fundamentally different perspective on the nature of time, space, gravity, and their interrelationships. Instead of treating time as a separate entity from space, I conceptualize time as a vector space – a flow with both rate and direction.

Mathematically, we can represent time as a vector, with its magnitude corresponding to the rate of flow, and its direction indicating the positive or negative sense of the temporal dimension. Just as vectors in a vector space can have different orientations, the flow of time in my model can have a positive or negative direction.

The dynamics and interactions of these temporal vector flows are governed by a set of equations that diverge from the conventional treatment of time in physics. For instance, the equation:

δO(t) = O(t) - ⟨O⟩

captures the fluctuations or deviations of an observable quantity O(t) from its average value ⟨O⟩, indicating that time is not uniform but exhibits intrinsic variations.

These temporal fluctuations, as described by the equation:

ΔS(t) = Σ((r_i+1 - r_i) · (1 + δO(t)))

directly influence the emergence of spatial dimensions and structure. In contrast to the conventional view of space as a separate entity, my model suggests that space emerges dynamically from the interactions and fluctuations of the temporal fabric.

Furthermore, I redefine the concept of gravity as an emergent phenomenon arising from these temporal dynamics, rather than being a direct consequence of mass-energy causing curvature in spacetime. The rate gravity equation:

F = (t_b - t_a)^2 · (r_b - r_a)

expresses gravitational force in terms of temporal and spatial intervals, while the equation:

G(i, j, k) ≈ -(2c)^2 · (t_i+1 - t_i)^2 · (r_j + 2 · (Δr · Δj)/r^2) · dS/dt

incorporates temporal waves into the gravitational field tensor, suggesting that gravity is influenced by the interaction of these waves with time.

In my model, mass is not treated as a fundamental property that dictates the geometry of spacetime. Instead, mass is viewed as a measurement of inertia, which is related to the differences or fluctuations in the temporal flow. Consider that total inertia is zero time. It suggests that mass, or the inertial property, is a manifestation of deviations from a uniform or "zero" temporal flow.

By grounding gravity and mass in the dynamics of the temporal fabric, my model offers a potential pathway to reconcile the different descriptions of gravity and spacetime in General Relativity and Quantum Mechanics. Temporal fluctuations can influence both large-scale structures, as in General Relativity, and small-scale interactions, as in Quantum Mechanics, providing a common foundation for a unified framework.

I understand that this perspective deviates significantly from conventional physics, but I believe it warrants consideration and rigorous investigation. The mathematical formulations I have presented capture the key concepts, and I welcome scrutiny, critiques, and suggestions from the scientific community to further refine and validate this model through theoretical analysis and experimental testing.

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