Understand the Field

Geometry as a Governing Pathway for Power Realization

Geometry by itself does not supply power.

However, when boundaries evolve during motion driven by real forces, geometry becomes an active pathway through which power is realized in time. In open systems, changing geometry reshapes pressure distributions, modifies force pathways, and alters how momentum and work appear—while remaining fully conservative.

This distinction is central to open-system physics and engineering.

Understanding the Field (For Physicists)

In classical mechanics, motion is governed by real forces acting on mass in physical space. When non-inertial frames are used, apparent or inertial forces (e.g., D’Alembert forces) are sometimes introduced as accounting tools. These forces do not represent new power sources; they simply recast force balance in an accelerating reference frame.

The Physics of Time (PoT) framework does not introduce new forces or rely on fictitious ones. Instead, it identifies when changing geometrycauses real, conservative redistribution of pressure and momentum during motion, even though the equations of motion themselves remain unchanged.

The key distinction is not frame choice, but whether the realization path is static or evolving.

When Geometry Becomes Physically Active

The defining condition is geometry-induced constraint acceleration, denoted A2.

In an open system—such as a combustion chamber with a moving boundary—real forces (pressure, combustion, gravity) generate motion through a net-force acceleration A1. If, during this motion, the geometry of the system evolves, the realized motion is continuously reshaped relative to a non-static path.

This produces a real, measurable redistribution of power, not a fictitious effect.

Specifically, changing geometry alters:

• the pressure-to-volume ratio,
• the duration over which pressure      performs work,
• the effective coherence mass Mfparticipating in force      transmission.

These changes appear as a reaction associated with geometry, but they do not originate power.

Geometry Is Not a Power Source — It Is a Power Pathway

All power in the system originates from real forces associated with A1 :

• pressure,
• combustion,
• thrust,
• gravity.

Geometry does not add energy.

Instead, geometry governs how and when that power is realized.

In PoT terms:

• A1 delivers power,
• A2 shapes power realization.

Boundary motion modifies the instantaneous pressure field through the rate of volume change dv/dt , which in turn reshapes force pathways and realized work.

This redistribution is conservative and time-dependent.

The Classical Root: Reynolds Transport Theorem (RTT)

The mathematical foundation of PoT lies in the Reynolds Transport Theorem, which generalizes Newtonian mechanics to systems where:

• mass may enter or exit,
• boundaries move,
• geometry evolves in time.

RTT explains:

• why the effective participating      mass Mfevolves,
• how geometry introduces      constraint effects captured by A2,
• why power accounting in open      systems must be time-primary.

PoT does not replace Newton’s laws. It extends their applicabilityby recognizing that in open systems:

• the participating mass is Mf, not a fixed particle mass,
• realization depends on both A2 and geometric constraint A1,
• time must be field-normalized to      compare systems with different boundary motion.

Core Definitions  

Effective Coherence Mass Mf

A1 is the portion of matter whose inertia is actively coupled to the evolving geometry and pressure field at a given instant.

It is not simply the piston mass or gas mass.
It depends on:

• boundary motion,
• pressure-field coherence,
• pressure-to-volume ratio,
• effective work time.

A1— Real-Force Acceleration

Acceleration generated by real forces:

• pressure,
• combustion,
• thrust,
• gravity.

This is the power-delivering channel.

Units: m/s²

A2 — Geometry-Induced Constraint Acceleration

Acceleration arising from evolving geometry, including:

• moving boundaries,
• changing chamber volumes,
• kinematic constraints,
• orbital curvature.

A2:

• does not add power,
• does not represent an      external force,
• governs how force-generated      motion is realized in time.

External influences such as wind always belong to , never to .

Coordinates in the Time Field (Diagnostic, Not Physical)

PoT uses a Cartesian diagnostic framework, not a physical space:

C = (t,A1,A2)

 

where:

• t is field-normalized acceleration      exposure,
• A1 is real-force acceleration,
• A2 is geometry-induced governing      acceleration.

The origin is defined by the instantaneous coherence mass .
This origin is not a position; it is a participation reference.

Within this framework:

• A1 represents realized momentum,
• A2 represents the field-relative      realization pathway.

This Cartesian structure makes explicit how geometry reshapes power realization in open systems while remaining fully conservative and fully Newtonian.

In open systems, geometry does not create power—but it governs how power is realized in time. Physics of Time makes this governing role explicit, conservative, and usable for engineering design.