F26 · CF026

Intrinsic fabric energy scale

Status: DEFINITION

Expression: E_f = ℏ/T_c

Definitions

• E_f is intrinsic fabric energy; ℏ is reduced Planck constant; T_c is intrinsic causal time.

Explanation

Defines the energy associated with one intrinsic causal update.

Cross-references: CF027, CF028, CF038

Source page: F2

F27 · CF027

One intrinsic fabric update carries one action quantum

Status: MODEL NORMALIZATION

Expression: E_fT_c = ℏ

Definitions

• E_f is fabric energy; T_c is update time; ℏ is reduced Planck constant.

Explanation

Sets the action of one intrinsic update to one quantum of action.

Cross-references: CF026, CF044, CF046

Source page: F2

F28 · CF028

Native dimensional mass scale

Status: DEFINITION

Expression: m_c = ℏ/(c²T_c)

Definitions

• m_c is native mass; ℏ is reduced Planck constant; c is light speed; T_c is causal time.

Explanation

Converts the intrinsic energy scale into its corresponding relativistic mass scale.

Cross-references: CF026, CF037, CF039

Source page: F2

F29 · CF029

Neutral pair-area scale

Status: EXACT

Expression: A₀ = 4L_c²/3

Definitions

• A₀ is the neutral pair-area scale; L_c is native causal length.

Explanation

Defines the single-area normalization associated with the neutral tetrahedral geometry.

Cross-references: CF008, CF009, CF030

Source page: F2

F30 · CF030

Candidate neutral area-stiffness closure

Status: CONDITIONAL

Expression: κ_C L_c² = ℏ

Definitions

• κ_C is candidate causal area stiffness; L_c is native length; ℏ is reduced Planck constant.

Explanation

Proposes an action-sized closure for the neutral area stiffness.

Cross-references: CF029, CF031, CF032

Source page: F2

F31 · CF031

Candidate surface-tension scale

Status: CONDITIONAL

Expression: σ₀ = κ_C/T_c

Definitions

• σ₀ is candidate surface tension; κ_C is area stiffness; T_c is causal time.

Explanation

Converts the candidate area stiffness into a surface-tension scale.

Cross-references: CF030, CF032

Source page: F2

F32 · CF032

Retained causal-geometric coefficient

Status: CONDITIONAL/REFERENCE

Expression: C_Σ = 12/(5π)

Definitions

• C_Σ is the retained causal-geometric coefficient; π is the circular constant.

Explanation

Records the coefficient retained when the tetrahedral and spherical factors are combined.

Cross-references: CF033, CF036, CF067, CF148

Source page: F2

F33 · CF033

Microscopic coefficient plus spherical spreading

Status: EXACT GIVEN C_Σ

Expression: C_Σ/(4π) = 3/(5π²)

Definitions

• C_Σ is the retained coefficient; π is the spherical spreading constant.

Explanation

Rewrites the retained coefficient after separating the 4π spherical factor.

Cross-references: CF032, CF036, CF151

Source page: F2

F34 · CF034

G Model Kutsal Interface Constant; not Big G

Status: HISTORICAL/INTERFACE

Expression: K_GD = 1/(5π²c)

Definitions

• K_GD is the historical interface constant; c is light speed; π is the circular constant.

Explanation

Records the historical interface normalization and explicitly distinguishes it from Newtonian G.

Cross-references: CF033, CF035, CF150

Source page: F2

F35 · CF035

Exact algebraic interface identity

Status: EXACT

Expression: 4πG = 3cK_GD C_Σ

Definitions

• G is the interface coupling in this identity; K_GD is the interface constant; c is light speed; C_Σ is retained coefficient.

Explanation

Links the interface constant, retained geometric coefficient, and coupling by algebraic normalization.

Cross-references: CF032, CF034, CF036

Source page: F2

F36 · CF036

Continuum matter-spacetime coupling bridge

Status: CONDITIONAL

Expression: G_bridge = (C_Σ/4π)c⁵T_c²/ℏ = (3/5π²)c⁵T_c²/ℏ

Definitions

• G_bridge is continuum bridge coupling; C_Σ is retained coefficient; c is light speed; T_c is causal time; ℏ is action quantum.

Explanation

Proposes the continuum coupling obtained by matching the discrete source-transfer coefficient.

Cross-references: CF032, CF033, CF037, CF151

Source page: F2

F37 · CF037

Big-G-calibrated fabric time

Status: CALIBRATED

Expression: T_c = [ℏG/(C_Σc⁵)]¹ᐟ²

Definitions

• T_c is fabric time; ℏ is reduced Planck constant; G is calibration coupling; C_Σ is retained coefficient; c is light speed.

Explanation

Inverts the continuum bridge using a supplied Big-G calibration.

Cross-references: CF032, CF036, CF038, CF039

Source page: F2

F38 · CF038

Reference value for C_Σ = 12/(5π)

Status: CALIBRATED

Expression: T_c ≈ 2.18657 × 10⁻⁴³ s

Definitions

• T_c is calibrated fabric time in seconds; C_Σ is set to 12/(5π).

Explanation

Gives the current numerical time reference after choosing the retained coefficient and Big-G calibration.

Cross-references: CF032, CF037, CF039, CF197

Source page: F2

F39 · CF039

Reference causal length

Status: CALIBRATED

Expression: L_c ≈ 6.55517 × 10⁻³⁵ m

Definitions

• L_c is calibrated causal length in metres; c is light speed; T_c is calibrated time.

Explanation

Converts the calibrated intrinsic time to the corresponding causal length.

Cross-references: CF001, CF037, CF038

Source page: F2

F40 · CF040

Neutral propagation normalization

Status: CONDITIONAL

Expression: 6/T_c · c = √6 Γ_c

Definitions

• T_c is causal time; c is light speed; Γ_c is characteristic causal flux.

Explanation

States the retained normalization connecting time, propagation, and neutral causal flux.

Cross-references: CF023, CF025, CF041

Source page: F2

F41 · CF041

Covariant local causal-cell energy

Status: DEFINITION

Expression: E_cell = V_c T^{μν} t_μ t_ν

Definitions

• E_cell is cell energy; V_c is cell volume; T^{μν} is stress-energy; t_μ is the cell timelike unit direction.

Explanation

Defines local cell energy as the stress-energy contraction integrated over the causal cell volume.

Cross-references: CF023, CF042, CF043

Source page: F2

F42 · CF042

Stationary nonrelativistic limit

Status: CONDITIONAL LIMIT

Expression: E_cell = ρV_cc²

Definitions

• E_cell is cell energy; ρ is mass density; V_c is cell volume; c is light speed.

Explanation

Reduces the covariant cell energy to rest-energy density for stationary matter.

Cross-references: CF041, CF048, CF051

Source page: F2

F43 · CF043

Accumulated matter action

Status: DEFINITION

Expression: S_m(t) = ∫₀ᵗ E_cell(τ)dτ

Definitions

• S_m is accumulated matter action; E_cell is cell energy; τ is integration time.

Explanation

Accumulates the local cell energy over the matter-response interval.

Cross-references: CF041, CF044, CF045, CF050

Source page: F2

F44 · CF044

Aggregation definition of matter-response time

Status: HYPOTHESIS

Expression: S_m(D₀) = ℏ

Definitions

• S_m is matter action; D₀ is aggregation response time; ℏ is action quantum.

Explanation

Hypothesizes that one aggregation interval carries one action quantum.

Cross-references: CF027, CF043, CF045, CF046

Source page: F2

F45 · CF045

Constant-energy Aggregation law

Status: EXACT WITHIN DEFINITION

Expression: D₀ = ℏ/E_cell

Definitions

• D₀ is aggregation response time; ℏ is action quantum; E_cell is constant cell energy.

Explanation

Solves the one-action condition for the duration of a constant-energy aggregation update.

Cross-references: CF041, CF044, CF047

Source page: F2

F46 · CF046

Dimensionless matter/fabric loading

Status: DEFINITION

Expression: A_cell = E_cellT_c/ℏ

Definitions

• A_cell is dimensionless loading; E_cell is cell energy; T_c is fabric time; ℏ is action quantum.

Explanation

Measures cell energy relative to the intrinsic one-update action.

Cross-references: CF027, CF044, CF047, CF048

Source page: F2

F47 · CF047

Controlling Aggregation reciprocal relation

Status: EXACT WITHIN DEFINITION

Expression: D₀/T_c = 1/A_cell

Definitions

• D₀ is aggregation time; T_c is fabric time; A_cell is dimensionless loading.

Explanation

Shows that aggregation duration is the reciprocal of matter loading in intrinsic-time units.

Cross-references: CF045, CF046, CF049

Source page: F2

F48 · CF048

Stationary density loading

Status: EXACT WITHIN DEFINITIONS

Expression: A_cell = (3/2)ρc⁵T_c⁴/ℏ

Definitions

• A_cell is loading; ρ is stationary density; c is light speed; T_c is causal time; ℏ is action quantum.

Explanation

Substitutes the native cell volume and stationary energy into the loading definition.

Cross-references: CF023, CF042, CF046, CF067

Source page: F2

F49 · CF049

Equal-action/equal-scale condition

Status: CONDITIONAL PHYSICAL INTERPRETATION

Expression: A_cell = 1 ⇔ D₀ = T_c

Definitions

• A_cell is dimensionless loading; D₀ is aggregation time; T_c is intrinsic time.

Explanation

Identifies equal loading with an aggregation interval equal to one intrinsic causal update.

Cross-references: CF046, CF047, CF048

Source page: F2

F50 · CF050

Additive matter-action accumulation rate

Status: EXACT

Expression: Γ_m = D₀⁻¹ = E_cell/ℏ

Definitions

• Γ_m is matter-action rate; D₀ is aggregation time; E_cell is cell energy; ℏ is action quantum.

Explanation

Expresses the additive update rate in equivalent response-time and energy units.

Cross-references: CF043, CF045, CF046, CF051

Source page: F2