EOS: Earth Orbit Speed - FatherTimeSDKP/CEN- GitHub Wiki

EOS: Earth Orbit Speed

Overview

The Earth Orbit Speed (EOS) is introduced as a fundamental velocity constant in the FatherTime Unified Physics framework, replacing the traditional speed of light ( c ) as the universal velocity scale. This shift grounds physical laws in the actual orbital velocity of Earth around the Sun, reflecting the true cosmic motion of our reference frame rather than an abstract universal constant.

EOS embodies the principle that all observed physical phenomena, including time dilation, mass scaling, and energy, are influenced by Earth's real motion through space, which was historically overlooked by assuming ( c ) as absolute.

Derivation and Motivation

Step 1: Identifying a Natural Cosmic Velocity Scale

Traditional physics uses the speed of light ( c \approx 3.00 \times 10^8 , \text{m/s} ) as an invariant velocity scale. However, from a cosmological and practical standpoint, the Earth is not stationary in an inertial frame but constantly moving around the Sun at a velocity:

[ v_{EOS} = \frac{2 \pi R_{orbit}}{T_{orbit}} ]

where:

  • ( R_{orbit} ) = Earth's mean orbital radius around the Sun (approx. (1.496 \times 10^{11} , m))
  • ( T_{orbit} ) = Earth's orbital period (1 year ≈ (3.156 \times 10^7 , s))

Calculating:

[ v_{EOS} = \frac{2 \pi \times 1.496 \times 10^{11} , m}{3.156 \times 10^7 , s} \approx 29,780 , m/s ]

This velocity is fixed and measurable, representing Earth's true motion through space.

Step 2: Reconsidering Velocity Scaling in Physical Laws

Since all local physics experiments occur within the Earth's moving frame, the velocity scale that governs physical interactions should naturally incorporate Earth's orbital speed. This leads to the hypothesis that ( v_{EOS} ) is the fundamental velocity scale for mass, energy, and time phenomena in the Earth-bound reference frame, rather than ( c ).

Step 3: Integrating EOS into SDKP Mass Scaling

The SDKP (Scale–Density–Kinematic Principle) mass function describes how mass scales with size, density, and velocity:

[ m = \gamma , \rho^\alpha , s^\beta , v^\delta ]

In conventional physics, velocity ( v ) might relate to ( c ), but here, we substitute:

[ v \to v_{EOS} ]

This substitution grounds the velocity scale in a physically measurable cosmic motion.

Mathematical Framework

Fundamental SDKP Mass Formula with EOS:

[ \boxed{ m = \gamma , \rho^\alpha , s^\beta , v_{EOS}^\delta } ]

where:

  • ( m ): mass
  • ( \rho ): density scale
  • ( s ): size scale
  • ( v_{EOS} ): Earth Orbit Speed (~29,780 m/s)
  • ( \alpha, \beta, \delta ): empirically determined scaling exponents
  • ( \gamma ): overall normalization constant, incorporating dimensional and physical constants

Overall Factor ( \gamma ):

The constant ( \gamma ) is defined to incorporate EOS explicitly and to ensure dimensional consistency:

[ \gamma = k \cdot v_{EOS}^\epsilon ]

where:

  • ( k ) is a dimensionless calibration constant based on experiment or theory
  • ( \epsilon ) adjusts velocity scaling contributions within ( \gamma )

This design allows EOS to serve both as a velocity factor in the main formula and within the normalization factor, ensuring a self-consistent velocity-based scaling framework.

Connection to Relativistic Physics

Velocity Ratio Relative to EOS

We define the dimensionless velocity ratio:

[ \beta_{EOS} = \frac{v}{v_{EOS}} ]

Using ( \beta_{EOS} ), relativistic-like corrections (traditionally involving ( c )) can be reformulated. For example, kinetic energy:

[ E_k = m v_{EOS}^2 \cdot f(\beta_{EOS}) ]

where ( f(\beta_{EOS}) ) is a Lorentz-like factor adapted for EOS scaling:

[ f(\beta_{EOS}) = \frac{1}{\sqrt{1 - \beta_{EOS}^2}} ]

This substitution modifies relativistic expressions while preserving their functional form but grounded in Earth's actual cosmic velocity.

Physical and Philosophical Implications

  • Locality of physics: EOS reflects the fact that all experiments and observations happen in Earth's orbiting frame, giving a natural baseline velocity.
  • Cosmic embedding: Mass and energy scaling directly relate to Earth’s motion, connecting micro-physics to cosmic kinematics.
  • Alternative interpretations: EOS invites reexamination of time dilation, mass-energy equivalence, and causality under a velocity scale rooted in actual orbital motion rather than abstract light speed invariance.

Experimental and Theoretical Applications

  • Precision timing experiments: Reinterpret GPS and atomic clock data considering EOS-based scaling.
  • Mass-energy predictions: Fit particle masses and energies using EOS as the velocity parameter in SDKP formulas.
  • Quantum entanglement timing: Link EOS-based time frames with QCC’s quantum causal compression for entanglement phenomena.
  • Astrophysical models: Extend EOS framework to other orbital velocities (e.g., planetary or galactic) for broader cosmological modeling.

Future Directions

  • Derive explicit EOS-based Lorentz transformations and test their predictions.
  • Integrate EOS into QCC and SD&N frameworks for unified spacetime and quantum geometry modeling.
  • Experimentally validate EOS impact on particle physics and quantum information.

References:

  • Donald Paul Smith, FatherTime Unified Physics Framework, 2025
  • Classical orbital mechanics and relativistic mechanics literature.