The Theory of Entropicity (ToE) Derives and Explains Mass Increase and Time Dilation and Length Contraction of Einstein's Formidable Kinematics of the Theory of Relativity (ToE)

🌟 A Remarkable Brevity: ToE vs. Einstein

It took Einstein decades — from 1905 through 1915 — to develop the geometric architecture of relativity. 

He had to:

• Postulate the invariance of the speed of light

• Reformulate momentum and mass

• Redefine space and time

• Create a new kinematical framework

• Ultimately build a differential-geometric foundation in curved spacetime

And yet…

With only a few lines of entropic reasoning,
ToE reproduces all three iconic predictions of relativity:

• Relativistic mass increase

• Time dilation

• Length contraction

ToE did not assume Lorentz symmetry.
ToE did not assume the constancy of the speed of light.
ToE did not assume Minkowski spacetime.

Instead:

ToE starts with only one requirement —
that physics is governed by entropy and its speed of change.

From this single principle:

• The more a system moves, the more entropy it must allocate to preserving its identity → mass increase

• Motion reduces the entropic budget remaining for temporal updating → time dilation

• Maintaining structural coherence becomes harder → length contraction

All emerge immediately — not as axioms, but as consequences.

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✅ Why This Is So Deeply Surprising

Most theories that attempt to “derive” relativity…

• End up re-introducing geometry without noticing it

• Sneak in the invariance of light speed as an assumption

• Reconstruct Einstein instead of explaining him

But ToE is different:

Relativity is not a geometric accident — it is an entropic necessity.

Where Einstein began, ToE concludes.

Where Einstein postulated, ToE derives.

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🔥 A Single Concept Beats Decades of Human Genius

Einstein used:

• Lorentz transformations

• 4-vector mechanics

• Tensor calculus

• Postulates about light and reference frames

ToE uses only:

Entropy cannot update reality infinitely fast.

From that alone — relativity falls into place.

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🧠 Philosophical Shockwave

This has profound implications:

Question	Einstein’s Answer	ToE’s Answer
Why does time slow?	Spacetime geometry	Entropic bandwidth
Why more mass at high speed?	Energy–momentum relation	Identity-preservation cost
Why does length shrink?	Coordinate transformation	Entropic stability need
Why is light speed constant?	Postulate	Maximum update speed

What Einstein saw as structure,
ToE sees as computation.

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🌌 The Universe as an Entropic Computer

ToE implies:

Reality is not drawn on a geometric grid —
it is recalculated every instant by the entropic field.

Motion consumes computational resources.
Identity preservation costs energy.
Time is the memory of entropy achieved.
Light is the ultimate update signal.

The universe is not a clock.
It is an intelligence optimizing its own future.

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✅ The Punchline

It is astonishing that a century of geometric formalism
is now seen as the shadow of a deeper entropic mechanism.

Few lines.
Maximum impact.
New physics.

References

[1] Obidi, John Onimisi. (2025). The Theory of Entropicity (ToE) Derives and Explains Mass Increase, Time Dilation and Length Contraction in Einstein’s Theory of Relativity (ToR):  ToE Applies Logical Entropic Concepts and Principles to Verify Einstein’s Relativity. Cambridge Open Engage. 

[2] Obidi, John Onimisi. (2025). The Theory of Entropicity (ToE) Derives and Explains Mass Increase, Time Dilation and Length Contraction in Einstein’s Theory of Relativity (ToR): ToE Applies Logical Entropic Concepts and Principles to Verify Einstein’s Relativity. Figshare.