A worldview where variations in the time scale are converted into force

It would be a good idea to learn general relativity, instead of re-inventing the wheel... These lecture notes, https://arxiv.org/pdf/gr-qc/9712019 are a good starting point.

Interesting conceptual shift, and it's worth unpacking carefully.

Your suggestion involves abandoning the notion of absolute time and treating time not as a uniform parameter, but as a dynamic quantity that can vary across space or context. From that, you argue that variations in the rate of time (i.e., time scaling) could generate effects typically attributed to forces. That’s a non-standard but not unprecedented move — there are frameworks in physics where time is not treated as globally fixed or fundamental.

Let’s evaluate the main points:

1. Abandoning Absolute Time

In Newtonian mechanics, time is absolute: the same everywhere, not influenced by anything. Einstein’s relativity replaced that with relative time, where the rate of time depends on velocity (special relativity) or gravitational potential (general relativity).

Your view takes this further by proposing that local variations in the flow or scale of time might themselves act as a source of dynamics — potentially replacing or explaining the role of force.

This idea shares some surface similarity with:

• General relativity, where time dilation emerges from gravitational fields.
• The thermal time hypothesis, which sees time as emergent from entropy in quantum statistical systems.
• Scalar field theories in which a field can influence dynamics by modifying spacetime structure.

But in all these cases, time is still treated within the broader spacetime framework. To depart from that entirely requires rethinking the foundations.

2. Force as a Result of Time Variation

You're suggesting that acceleration — and thus force via F=maF = maF=ma — could emerge from variations in time rate.

f the time rate τ(x,t)\tau(x,t)τ(x,t) spatially or temporally, then standard derivatives like dv/dt pick up corrections from the variation in τ\tauτ.

Mathematically, if time is reparameterized as

v′=dt′dx​=τ1​⋅dtdx​⇒a′=dt′dv′​=terms involving dtdτ​,dtdx​, etc.

,

This leads to effective acceleration terms that could, in principle, be interpreted as pseudo-forces arising from time-rate variations.

But unless this is just a coordinate transformation (i.e., a mathematical re-labeling), you’d need to define:

• A field τ(x,t)\tau(x,t)τ(x,t) with physical meaning (not just a gauge choice),
• How it evolves (i.e., its dynamics),
• And how it couples to matter.

3. Spacetime as an Emergent or Derived Structure

You suggest spacetime unification may not be necessary — that spacetime could be a measurement artifact, and the underlying physics might be governed instead by time-scaling laws. This is a strong claim.

To support this, you'd need to:

• Show that standard relativistic phenomena (like Lorentz invariance, time dilation, GPS corrections, etc.) can be recovered or reinterpreted under your framework.
• Develop a model that provides consistent predictions across inertial and non-inertial frames.

The challenge here is that special and general relativity are extremely well-tested experimentally. Any alternative that modifies spacetime structure must reduce to those theories in the appropriate limits.

If you're serious about developing this, I’d suggest starting with:

• A redefined Lagrangian or Hamiltonian that includes a time-scaling field τ(x,t)\tau(x,t)τ(x,t),
• Deriving the Euler-Lagrange equations to see how motion is modified,
• Exploring whether this leads to new predictions or known phenomena (e.g., can gravitational redshift or inertial forces be reproduced?),
• And testing whether energy and momentum remain conserved under this reformulation.

This would bring your idea into the realm of falsifiable physics — where it can be compared with observations and established theories.

therefore....

• The core idea — that time-rate variation could act as a source of force — is unconventional but not logically inconsistent.
• Similar ideas have been explored in some niche areas of physics, but not in mainstream mechanics.
• To be viable, the idea needs mathematical formalism, clear assumptions, and connections to known experimental results.
• It's worth exploring — but carefully

best

Harri

Thank you very much for your valuable suggestions. I fully agree that starting from a redefined Lagrangian or Hamiltonian that includes a time scaling field τ(x,t)\tau(x,t)τ(x,t), and deriving the Euler-Lagrange equations to analyze how motion changes, is essential to placing this idea within the framework of testable physics.

In fact, I have been working in this direction, and I have prepared the following manuscript related to this approach:Preprint Time-light relativity theory

I would be grateful for any further feedback, and I hope to continue developing this idea based on your advice.