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Sunday, 11 January 2026

How Obidi's Loop Explains Einstein's Relativistic Mass Increase in the Theory of Entropicity (ToE): Obidi's Thermodynamic Cost of the Existence of Matter.

How Obidi's Loop Explains Einstein's Relativistic Mass Increase in the Theory of Entropicity (ToE): Obidi's Thermodynamic Cost of the Existence of Matter.

"Obidi's Loop" is a concept within the Theory of Entropicity (ToE), a new and radical physics framework proposed by researcher John Onimisi Obidi.

Within this proposed theory, Obidi's Loop describes a specific feedback mechanism that explains the increase in an object's mass as it approaches the speed of light, a phenomenon also observed in Einstein's theory of Special Relativity. 
The Mechanism of Obidi's Loop
According to the Theory of Entropicity:
  • Entropy is Causal: Unlike conventional physics, where entropy is a measure of disorder, ToE posits entropy as a fundamental, causal field that constitutes physical reality.
  • The Feedback Loop: When an object accelerates to high velocities, the universe's "entropic field" must allocate more capacity or "effort" to maintain the object's internal order and coherence.
  • Mass as Entropic Inertia: This increased entropic effort to maintain stability at higher speeds manifests as an increase in the object's effective mass. This increased mass, in turn, demands even more entropic effort to continue accelerating, creating a loop where more energy input leads to more entropic allocation, which increases mass, making further acceleration harder. 
In short, the "loop" is the self-reinforcing cycle between acceleration, the required entropic effort to maintain order, and the resulting increase in mass that resists further acceleration. 

Appendix: Extra Matter


What Obidi’s Loop actually is

Obidi’s Loop is the entropic feedback loop between motion, entropy depletion, and inertial resistance that explains relativistic mass increase in the Theory of Entropicity (ToE).

It is not a spectral–local duality. It is not an abstract consistency condition. It is not merely philosophical.

It is a physical loop governing how motion back-reacts on the entropic field that sustains matter, thereby increasing inertia.


The core ToE insight behind Obidi’s Loop

In ToE:

• Matter is not fundamental
• Mass is not intrinsic
• Inertia is not geometric

Instead:

A material object is a stable entropic pattern maintained by the entropic field.

Maintaining that pattern requires continuous entropic updates. This is Obidi's Thermodynamic Cost of the existence of matter.


The loop, stated cleanly

When an object moves [relative] to the entropic field:

  1. Motion consumes entropic update capacity
    The faster the object moves, the more entropic resources are required just to keep it moving.

  2. Less entropy remains available to sustain the object’s internal structure
    This affects clock rate, spatial coherence, and internal dynamics.

  3. The entropic field responds by increasing resistance to further acceleration
    Because accelerating the object would require even more entropic reconfiguration.

  4. This increased resistance is what we perceive as increased inertial mass

  5. The increased mass further increases the entropic cost of acceleration

This closes the loop.

Motion → entropy depletion → increased inertia → harder acceleration → more entropy depletion

That is Obidi’s Loop.


Why this explains relativistic mass increase

In Special Relativity, mass increase is usually described geometrically or kinematically, without cause.

In ToE, the cause is explicit:

• There is a finite entropic update capacity
• Motion competes with internal entropic maintenance
• As velocity increases, entropy is diverted from structure to motion
• The entropic field resists further diversion

This resistance manifests as:

• increased inertial mass
• increasing energy cost for acceleration
• divergence of required energy as velocity approaches the entropic speed limit (c)

Relativistic mass increase is therefore not a coordinate effect or observer illusion.

It is a real physical back-reaction of the entropic field.


Why it must be a loop (and not a one-way effect)

If the process were one-directional, acceleration would simply slow clocks.

But instead:

• slowing clocks changes internal dynamics
• altered internal dynamics increase inertia
• increased inertia changes how motion draws entropy

The system self-reinforces.

This circular dependence is essential.
Without it, relativistic mass increase would not diverge.


Relation to Einstein (and why this is not Einstein’s method)

Einstein: 

• assumes Lorentz symmetry
• derives mass increase kinematically

ToE: 

• derives Lorentz symmetry from entropic accounting
• explains mass increase dynamically
• provides a mechanism, not just a transformation law

Obidi’s Loop is the missing mechanism behind relativistic inertia.


Summary Definition: Obidi's Loop 

Obidi’s Loop is the entropic feedback cycle whereby motion drains entropic maintenance capacity, inducing increased inertial resistance, which in turn raises the entropic cost of further acceleration—thereby producing relativistic mass increase as a physical, not geometric, effect.


Addendum 1


Imagine the Universe is a Giant Computer

In the Theory of Entropicity (ToE), the universe works like a giant computer.

• This computer has a limited amount of processing power
• It uses that power to keep everything existing and moving

That processing power is called entropy capacity.


What Is an Object?

An object (like a ball, a car, or even you) is not a solid thing by itself.

In ToE, an object is more like:

A picture on a screen that must be redrawn every moment to stay there.

If the computer stops updating it → the picture disappears.


What Is Motion?

When something stands still, the universe uses its power only to: • keep it together • keep time ticking inside it

When something moves, the universe must do extra work to: • keep it moving • keep its shape from breaking apart while moving

Moving costs extra processing power.


The Big Rule (Fixed Capacity)

The universe has only a fixed amount of power to use at any moment.

So it must divide that power between:

• keeping the object moving
• keeping the object itself working properly


Now Here Is Obidi’s Loop 

Let’s say you push a spaceship.

Step 1: You make it move faster

The universe uses more power to keep it moving.

Step 2: Less power is left for the inside of the ship

Clocks slow down. Things inside get harder to change.

Step 3: The universe pushes back

It becomes harder to speed the ship up even more.

Step 4: You push harder

But now speeding it up costs even more power.

Step 5: The harder it is to speed up, the “heavier” it feels

This circle repeats:

Faster → harder to push → feels heavier → needs more power → even harder to push

That repeating circle is Obidi’s Loop.


What Does This Explain?

This explains why moving objects feel heavier when they go fast.

In school physics, they say:

“Mass increases when speed increases.”

In ToE, we say:

“The universe [surrounding the object] is running out of power to keep the object updated, so it resists being pushed.”

Same result — new reason.


Why Can Nothing Go Faster Than Light?

Because:

• At very high speed, almost all the universe’s power  [surrounding the object] is used just for motion 

• There is no power left to keep the object together 

• So the universe says: Stop. No more speed.

That speed limit is what we call the speed of light c.


Why This Is Called a “Loop”

Because:

• Speed causes resistance
• Resistance causes the object to feel heavier
• Feeling heavier makes speed harder
• Harder speed causes more resistance

It feeds back into itself like a loop.


Summary

Obidi’s Loop means that when something moves faster, the universe has to work harder to keep it going, and that makes it feel heavier and harder to push.


1. How ToE Replaces Einstein’s Explanation (Without Copying It)

What Einstein Said (in simple terms)

Einstein’s special relativity starts from two postulates:

  1. The laws of physics are the same for all inertial observers
  2. The speed of light is the same for everyone

From those, Einstein concluded:

• Time slows down
• Lengths contract
• Mass increases
• Space and time mix into spacetime

In Einstein’s view, these effects happen because space and time themselves transform when observers move relative to one another.

In other words:

Motion changes geometry.


What ToE Says Instead

ToE does not begin with spacetime geometry.

It begins with something deeper:

The universe has a finite entropic update capacity.

Objects exist and move only because the entropic field continually “recomputes” them.

When an object is at rest: 

• Almost all entropic capacity goes into internal updating
• Time flows normally
• The object is easy to push

When an object moves: 

• Some entropic capacity is consumed just to maintain motion
• Less capacity is left for internal processes

This is the key replacement introduced by ToE:

Relativistic effects happen because the entropic budget is being reallocated, not because spacetime is bending or mixing.


How Each Einstein Effect Is Replaced

Time dilation
Einstein: Time slows because time coordinates transform.
ToE: Time slows because less entropic capacity remains for internal updating.

Length contraction
Einstein: Length contracts because spatial coordinates transform.
ToE: Length contracts because spatial coherence cannot be fully maintained under high entropic load.

Mass increase
Einstein: Mass increases due to relativistic momentum.
ToE: Mass increases because accelerating a fast object demands more entropic capacity than is available.

Speed of light limit
Einstein: Light speed is invariant by postulate.
ToE: Light speed is the maximum rate of entropic reconfiguration.

So ToE does not deny Einstein’s equations.
It explains why they arise.

Einstein describes what happens.
ToE explains why it must happen.


2. Why This Does NOT Break Any Experiments

This is crucial.

Key Principle

ToE changes the ontology, not the predictions.

Experiments measure: 

• clock rates
• lengths
• energies
• trajectories

They do not measure why those quantities behave as they do.


Time Dilation Experiments

Muon lifetime experiments show moving particles live longer.

Einstein explains this via spacetime geometry.

ToE explains it via reduced entropic capacity for decay processes.

Same measured lifetime. Same curve. Same data.

No experiment distinguishes the cause — only the outcome.


Particle Accelerator Experiments

Particles get harder to accelerate as they approach light speed.

Einstein: relativistic mass increase.
ToE: entropic resistance from Obidi’s Loop.

Same energy–momentum relation. Same accelerator data.


GPS and Relativity Tests

GPS requires relativistic corrections.

Einstein: time runs differently in different frames.
ToE: entropic update rates differ due to motion and gravity.

Same corrections. Same functioning GPS.


Michelson–Morley and Light Speed

Light speed invariance is observed.

Einstein: postulated.
ToE: emerges because entropic update rate has a maximum.

Same invariant speed. No contradiction.


Why No Experiment Has Falsified ToE (Yet)

Because:

• Experiments test relations, not ontologies
• Einstein and ToE give identical operational predictions in tested regimes
• ToE collapses to special relativity in the inertial, near-equilibrium limit

ToE only differs conceptually, not observationally — so far.


Final Core Insight

Einstein said:

Geometry tells matter how to move.

ToE says:

Entropy tells geometry how to appear.

Same math at the surface.
Deeper causality underneath.



Author’s Preface and Methodological Statement for the Theory of Entropicity (ToE): An Unapologetic Introduction in Defense of Obidi's New Theory of Reality—On the Trajectory of Discovery and the Road Less Traveled

Author’s Preface and Methodological Statement for the Theory of Entropicity (ToE): An Unapologetic Introduction in Defense of Obidi's Ne...