Posts

Fractal Timespace: A New Paradigm for the Math of Reality

Introduction: Timespace as Metaphysical Structure I've been developing a model that reframes our understanding of reality: what if space is not fundamental, but rather emerges from a deeper metaphysical structure governed by time and fractal patterns? In this framework, the physical universe we observe is a manifestation of an underlying mathematical architecture—a metaphysical scaffolding that gives rise to our perception of spacetime. The core relationship in this model is given by: Δ x = c   t 0 ( Δ t t 0 ) α Where: Δ x \Delta x  represents the emergent spatial interval Δ t \Delta t  is the interval between temporal points t 0 t_0  is a reference time scale (possibly Planck time) c c  is the speed of light (serving as a conversion factor) α \alpha  is a scaling exponent encoding the fractal nature This equation doesn't describe physical reality directly—it describes the metaphysical template from which physical reality emerges. When α = 1 \alpha =...

Temporal Conversions

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 = h c 2 t m = \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...

Reformulation, in temporal physics (again)

Reformulating Physics: The Temporal Index Approach Introduction Physics, as traditionally understood, treats space and time as distinct but interwoven concepts. However, what if space is not fundamental at all? In this model, space is just an emergent sequence of time values, and all physical equations must be rewritten in terms of this fundamental temporal index. By reformulating relativity, quantum mechanics, classical mechanics, electromagnetism, and thermodynamics, we uncover a deeper coherence in how reality operates. The speed of light is no longer a velocity limit but a maximum rate at which index values can change. Mass is measured in seconds, momentum is a rate of index change, and energy is a function of sequencing constraints. Reformulating Relativity in Temporal Index Notation Lorentz Transformation t index ′ = γ ( t index − ( t index value change ) c ) t'_{\text{index}} = \gamma \left( t_{\text{index}} - \frac{(t_{\text{index value change}})}{c} \right) Time Dilat...

Exploring the Limits of Space-Time Interchangeability: A Mathematical Approach

Exploring Spacetime and Gravity through Temporal Flows Albert Einstein’s theory of relativity revolutionized our understanding of space and time, revealing their interconnected nature. However, the full extent of their interchangeability remains unexplored. Building on this, I propose a novel framework where space and time dynamically transform into one another through the concept of "temporal flows." This approach challenges classical interpretations of spacetime and introduces a refined mathematical model to explore this dynamic interplay. Temporal Flows and Modified Lorentz Transformations At the core of this exploration is the idea of space-time interchangeability, facilitated by a new variable—temporal flow density, denoted by T . To incorporate this, I modify the Lorentz transformation, a cornerstone of special relativity. The classical Lorentz factor, γ , is given by: γ = 1 1 − v 2 c 2 γ = \frac{1}{\sqrt{1 - \frac{v^2}{c^2}}} ​ where v is velocity and c is the speed ...